1546679957.043 * [misc]progress: [Phase 1 of 3] Setting up. 1546679957.043 * * * [misc]progress: [1/2] Preparing points 1546679957.043 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1546679957.091 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.091 * * * * [misc]points: Sampling 195 additional inputs, on iter 1 have 61 / 256 1546679957.119 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.119 * * * * [misc]points: Sampling 142 additional inputs, on iter 2 have 114 / 256 1546679957.152 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.153 * * * * [misc]points: Sampling 103 additional inputs, on iter 3 have 153 / 256 1546679957.168 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.168 * * * * [misc]points: Sampling 73 additional inputs, on iter 4 have 183 / 256 1546679957.201 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.201 * * * * [misc]points: Sampling 57 additional inputs, on iter 5 have 199 / 256 1546679957.218 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.218 * * * * [misc]points: Sampling 48 additional inputs, on iter 6 have 208 / 256 1546679957.236 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.236 * * * * [misc]points: Sampling 39 additional inputs, on iter 7 have 217 / 256 1546679957.251 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.251 * * * * [misc]points: Sampling 26 additional inputs, on iter 8 have 230 / 256 1546679957.260 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.260 * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 1546679957.265 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.265 * * * * [misc]points: Sampling 20 additional inputs, on iter 10 have 236 / 256 1546679957.271 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.271 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1546679957.276 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.276 * * * * [misc]points: Sampling 10 additional inputs, on iter 12 have 246 / 256 1546679957.280 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.280 * * * * [misc]points: Sampling 10 additional inputs, on iter 13 have 246 / 256 1546679957.284 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.284 * * * * [misc]points: Sampling 8 additional inputs, on iter 14 have 248 / 256 1546679957.289 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.289 * * * * [misc]points: Sampling 6 additional inputs, on iter 15 have 250 / 256 1546679957.293 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.293 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1546679957.296 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.296 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 1546679957.299 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.299 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 252 / 256 1546679957.303 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.303 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 254 / 256 1546679957.306 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.306 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 255 / 256 1546679957.328 * * * * [misc]points: Filtering points with unrepresentable outputs 1546679957.328 * * * * [exit]points: Sampled 256 points with exact outputs 1546679957.328 * * * [misc]progress: [2/2] Setting up program. 1546679957.340 * [misc]progress: [Phase 2 of 3] Improving. 1546679957.340 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1546679957.340 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1546679957.340 * * [misc]simplify: iters left: 6 (13 enodes) 1546679957.345 * * [misc]simplify: iters left: 5 (28 enodes) 1546679957.353 * * [misc]simplify: iters left: 4 (44 enodes) 1546679957.366 * * [misc]simplify: iters left: 3 (54 enodes) 1546679957.373 * * [misc]simplify: iters left: 2 (57 enodes) 1546679957.379 * * [misc]simplify: iters left: 1 (65 enodes) 1546679957.388 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546679957.388 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546679957.395 * * [misc]progress: iteration 1 / 4 1546679957.395 * * * [misc]progress: picking best candidate 1546679957.400 * * * * [misc]pick: Picked # 1546679957.400 * * * [misc]progress: localizing error 1546679957.442 * * * [misc]progress: generating rewritten candidates 1546679957.442 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1546679957.445 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1546679957.448 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1546679957.458 * * * [misc]progress: generating series expansions 1546679957.458 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1546679957.458 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546679957.458 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546679957.458 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679957.458 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679957.458 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679957.458 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679957.458 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.458 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679957.458 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.458 * [misc]taylor: Taking taylor expansion of k in k 1546679957.458 * [misc]backup-simplify: Simplify 0 into 0 1546679957.458 * [misc]backup-simplify: Simplify 1 into 1 1546679957.458 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679957.458 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679957.458 * [misc]taylor: Taking taylor expansion of 2 in k 1546679957.458 * [misc]backup-simplify: Simplify 2 into 2 1546679957.458 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679957.458 * [misc]taylor: Taking taylor expansion of n in k 1546679957.458 * [misc]backup-simplify: Simplify n into n 1546679957.458 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.458 * [misc]backup-simplify: Simplify PI into PI 1546679957.458 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679957.458 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679957.458 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679957.459 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679957.459 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.459 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679957.459 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679957.459 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679957.459 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679957.459 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679957.459 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679957.459 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679957.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.459 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679957.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.459 * [misc]taylor: Taking taylor expansion of k in n 1546679957.459 * [misc]backup-simplify: Simplify k into k 1546679957.459 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679957.459 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679957.459 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.459 * [misc]backup-simplify: Simplify 2 into 2 1546679957.459 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679957.459 * [misc]taylor: Taking taylor expansion of n in n 1546679957.459 * [misc]backup-simplify: Simplify 0 into 0 1546679957.459 * [misc]backup-simplify: Simplify 1 into 1 1546679957.459 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.459 * [misc]backup-simplify: Simplify PI into PI 1546679957.460 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679957.460 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679957.460 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679957.461 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679957.461 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.461 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679957.461 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679957.461 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679957.462 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.462 * [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)))) 1546679957.462 * [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))))) 1546679957.462 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679957.462 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679957.462 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679957.462 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679957.462 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.462 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.462 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679957.462 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.463 * [misc]taylor: Taking taylor expansion of k in n 1546679957.463 * [misc]backup-simplify: Simplify k into k 1546679957.463 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679957.463 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679957.463 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.463 * [misc]backup-simplify: Simplify 2 into 2 1546679957.463 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679957.463 * [misc]taylor: Taking taylor expansion of n in n 1546679957.463 * [misc]backup-simplify: Simplify 0 into 0 1546679957.463 * [misc]backup-simplify: Simplify 1 into 1 1546679957.463 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.463 * [misc]backup-simplify: Simplify PI into PI 1546679957.463 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679957.463 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679957.463 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679957.464 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679957.464 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.464 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679957.464 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679957.464 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679957.465 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.465 * [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)))) 1546679957.465 * [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))))) 1546679957.466 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546679957.466 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546679957.466 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679957.466 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.466 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.466 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679957.466 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.466 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.466 * [misc]taylor: Taking taylor expansion of k in k 1546679957.466 * [misc]backup-simplify: Simplify 0 into 0 1546679957.466 * [misc]backup-simplify: Simplify 1 into 1 1546679957.466 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546679957.466 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679957.466 * [misc]taylor: Taking taylor expansion of n in k 1546679957.466 * [misc]backup-simplify: Simplify n into n 1546679957.466 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679957.466 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546679957.466 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546679957.466 * [misc]taylor: Taking taylor expansion of 2 in k 1546679957.466 * [misc]backup-simplify: Simplify 2 into 2 1546679957.466 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.466 * [misc]backup-simplify: Simplify PI into PI 1546679957.466 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.466 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.466 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679957.467 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.467 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679957.467 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.468 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546679957.468 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546679957.468 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546679957.469 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679957.470 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679957.471 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679957.471 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546679957.472 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.472 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.472 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.472 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546679957.474 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679957.474 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.474 * [misc]backup-simplify: Simplify 0 into 0 1546679957.474 * [misc]backup-simplify: Simplify 0 into 0 1546679957.474 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546679957.475 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679957.476 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679957.476 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.476 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679957.477 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679957.477 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679957.477 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546679957.478 * [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))))))) 1546679957.479 * [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))))))) 1546679957.480 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679957.481 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546679957.484 * [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 1546679957.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546679957.484 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.485 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.485 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546679957.487 * [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 1546679957.487 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.487 * [misc]backup-simplify: Simplify 0 into 0 1546679957.487 * [misc]backup-simplify: Simplify 0 into 0 1546679957.487 * [misc]backup-simplify: Simplify 0 into 0 1546679957.488 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546679957.488 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679957.491 * [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 1546679957.492 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.492 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679957.492 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.492 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.492 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546679957.494 * [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))))) 1546679957.495 * [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))))) 1546679957.499 * [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))))) 1546679957.499 * [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)))) 1546679957.499 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546679957.499 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679957.499 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679957.499 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679957.499 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679957.499 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.499 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679957.499 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.499 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.499 * [misc]taylor: Taking taylor expansion of k in k 1546679957.499 * [misc]backup-simplify: Simplify 0 into 0 1546679957.499 * [misc]backup-simplify: Simplify 1 into 1 1546679957.499 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.500 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679957.500 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679957.500 * [misc]taylor: Taking taylor expansion of 2 in k 1546679957.500 * [misc]backup-simplify: Simplify 2 into 2 1546679957.500 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679957.500 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.500 * [misc]backup-simplify: Simplify PI into PI 1546679957.500 * [misc]taylor: Taking taylor expansion of n in k 1546679957.500 * [misc]backup-simplify: Simplify n into n 1546679957.500 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679957.500 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679957.500 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679957.500 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679957.500 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679957.500 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679957.500 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679957.500 * [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)))) 1546679957.500 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679957.500 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679957.500 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679957.500 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679957.500 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679957.501 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.501 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.501 * [misc]taylor: Taking taylor expansion of k in n 1546679957.501 * [misc]backup-simplify: Simplify k into k 1546679957.501 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.501 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679957.501 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679957.501 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.501 * [misc]backup-simplify: Simplify 2 into 2 1546679957.501 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.501 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.501 * [misc]backup-simplify: Simplify PI into PI 1546679957.501 * [misc]taylor: Taking taylor expansion of n in n 1546679957.501 * [misc]backup-simplify: Simplify 0 into 0 1546679957.501 * [misc]backup-simplify: Simplify 1 into 1 1546679957.501 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.501 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.501 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.502 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679957.502 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679957.502 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679957.502 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.502 * [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))) 1546679957.503 * [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)))) 1546679957.503 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679957.503 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679957.503 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679957.503 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679957.503 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.503 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679957.503 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.503 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.503 * [misc]taylor: Taking taylor expansion of k in n 1546679957.503 * [misc]backup-simplify: Simplify k into k 1546679957.503 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.503 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679957.503 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679957.503 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.503 * [misc]backup-simplify: Simplify 2 into 2 1546679957.503 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.503 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.503 * [misc]backup-simplify: Simplify PI into PI 1546679957.503 * [misc]taylor: Taking taylor expansion of n in n 1546679957.503 * [misc]backup-simplify: Simplify 0 into 0 1546679957.503 * [misc]backup-simplify: Simplify 1 into 1 1546679957.504 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.504 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.504 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.504 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679957.505 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679957.505 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679957.505 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.506 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1546679957.507 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546679957.507 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546679957.507 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546679957.507 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679957.507 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.507 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679957.507 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.507 * [misc]taylor: Taking taylor expansion of k in k 1546679957.507 * [misc]backup-simplify: Simplify 0 into 0 1546679957.507 * [misc]backup-simplify: Simplify 1 into 1 1546679957.507 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.507 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546679957.507 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546679957.507 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546679957.507 * [misc]taylor: Taking taylor expansion of 2 in k 1546679957.507 * [misc]backup-simplify: Simplify 2 into 2 1546679957.507 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.507 * [misc]backup-simplify: Simplify PI into PI 1546679957.508 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.508 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.508 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679957.508 * [misc]taylor: Taking taylor expansion of n in k 1546679957.508 * [misc]backup-simplify: Simplify n into n 1546679957.508 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679957.509 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679957.509 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679957.509 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679957.509 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679957.509 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546679957.510 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546679957.511 * [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)))) 1546679957.511 * [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)))) 1546679957.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679957.513 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679957.516 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679957.516 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679957.516 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679957.516 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.516 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.517 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.518 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546679957.519 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679957.519 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.519 * [misc]backup-simplify: Simplify 0 into 0 1546679957.520 * [misc]backup-simplify: Simplify 0 into 0 1546679957.520 * [misc]backup-simplify: Simplify 0 into 0 1546679957.521 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.522 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679957.527 * [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 1546679957.527 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.528 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679957.528 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.528 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.528 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.529 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546679957.530 * [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 1546679957.530 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.530 * [misc]backup-simplify: Simplify 0 into 0 1546679957.530 * [misc]backup-simplify: Simplify 0 into 0 1546679957.530 * [misc]backup-simplify: Simplify 0 into 0 1546679957.530 * [misc]backup-simplify: Simplify 0 into 0 1546679957.532 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.532 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679957.537 * [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 1546679957.537 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.538 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546679957.538 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.538 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.539 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546679957.541 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546679957.541 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.541 * [misc]backup-simplify: Simplify 0 into 0 1546679957.541 * [misc]backup-simplify: Simplify 0 into 0 1546679957.542 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546679957.542 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1546679957.542 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546679957.542 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679957.542 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679957.542 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679957.542 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679957.542 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679957.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.542 * [misc]taylor: Taking taylor expansion of k in k 1546679957.542 * [misc]backup-simplify: Simplify 0 into 0 1546679957.542 * [misc]backup-simplify: Simplify 1 into 1 1546679957.542 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.542 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679957.542 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679957.542 * [misc]taylor: Taking taylor expansion of -2 in k 1546679957.542 * [misc]backup-simplify: Simplify -2 into -2 1546679957.542 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679957.542 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.542 * [misc]backup-simplify: Simplify PI into PI 1546679957.542 * [misc]taylor: Taking taylor expansion of n in k 1546679957.542 * [misc]backup-simplify: Simplify n into n 1546679957.543 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679957.543 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679957.543 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679957.543 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679957.543 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679957.543 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679957.543 * [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))) 1546679957.543 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679957.543 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679957.543 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679957.543 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679957.543 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679957.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.543 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.543 * [misc]taylor: Taking taylor expansion of k in n 1546679957.543 * [misc]backup-simplify: Simplify k into k 1546679957.543 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.543 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679957.543 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679957.543 * [misc]taylor: Taking taylor expansion of -2 in n 1546679957.543 * [misc]backup-simplify: Simplify -2 into -2 1546679957.543 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.543 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.543 * [misc]backup-simplify: Simplify PI into PI 1546679957.543 * [misc]taylor: Taking taylor expansion of n in n 1546679957.543 * [misc]backup-simplify: Simplify 0 into 0 1546679957.543 * [misc]backup-simplify: Simplify 1 into 1 1546679957.544 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.544 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679957.544 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679957.544 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679957.544 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679957.545 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679957.545 * [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))) 1546679957.546 * [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)))) 1546679957.546 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679957.546 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679957.546 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679957.546 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679957.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679957.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.546 * [misc]taylor: Taking taylor expansion of k in n 1546679957.546 * [misc]backup-simplify: Simplify k into k 1546679957.546 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.546 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679957.546 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679957.546 * [misc]taylor: Taking taylor expansion of -2 in n 1546679957.546 * [misc]backup-simplify: Simplify -2 into -2 1546679957.546 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.546 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.546 * [misc]backup-simplify: Simplify PI into PI 1546679957.546 * [misc]taylor: Taking taylor expansion of n in n 1546679957.546 * [misc]backup-simplify: Simplify 0 into 0 1546679957.546 * [misc]backup-simplify: Simplify 1 into 1 1546679957.546 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.546 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679957.547 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679957.547 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679957.547 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679957.547 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679957.548 * [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))) 1546679957.548 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546679957.548 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546679957.548 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546679957.548 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679957.548 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679957.548 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.548 * [misc]taylor: Taking taylor expansion of k in k 1546679957.548 * [misc]backup-simplify: Simplify 0 into 0 1546679957.548 * [misc]backup-simplify: Simplify 1 into 1 1546679957.548 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.548 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.549 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546679957.549 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546679957.549 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546679957.549 * [misc]taylor: Taking taylor expansion of -2 in k 1546679957.549 * [misc]backup-simplify: Simplify -2 into -2 1546679957.549 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.549 * [misc]backup-simplify: Simplify PI into PI 1546679957.549 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679957.549 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679957.549 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679957.549 * [misc]taylor: Taking taylor expansion of n in k 1546679957.549 * [misc]backup-simplify: Simplify n into n 1546679957.549 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679957.549 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679957.549 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679957.549 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679957.550 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546679957.550 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546679957.551 * [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)))) 1546679957.551 * [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)))) 1546679957.552 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679957.552 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679957.554 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546679957.554 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679957.554 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679957.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679957.555 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546679957.556 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679957.556 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.556 * [misc]backup-simplify: Simplify 0 into 0 1546679957.556 * [misc]backup-simplify: Simplify 0 into 0 1546679957.556 * [misc]backup-simplify: Simplify 0 into 0 1546679957.557 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.558 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679957.562 * [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 1546679957.563 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.563 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679957.563 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.563 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679957.564 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546679957.565 * [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 1546679957.565 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.565 * [misc]backup-simplify: Simplify 0 into 0 1546679957.565 * [misc]backup-simplify: Simplify 0 into 0 1546679957.565 * [misc]backup-simplify: Simplify 0 into 0 1546679957.565 * [misc]backup-simplify: Simplify 0 into 0 1546679957.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.567 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679957.573 * [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 1546679957.573 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.573 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546679957.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679957.575 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546679957.579 * [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 1546679957.579 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.579 * [misc]backup-simplify: Simplify 0 into 0 1546679957.579 * [misc]backup-simplify: Simplify 0 into 0 1546679957.580 * [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))))) 1546679957.580 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1546679957.580 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546679957.580 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546679957.580 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679957.580 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.580 * [misc]backup-simplify: Simplify 2 into 2 1546679957.580 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679957.580 * [misc]taylor: Taking taylor expansion of n in n 1546679957.580 * [misc]backup-simplify: Simplify 0 into 0 1546679957.580 * [misc]backup-simplify: Simplify 1 into 1 1546679957.580 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.580 * [misc]backup-simplify: Simplify PI into PI 1546679957.580 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679957.580 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.580 * [misc]backup-simplify: Simplify 2 into 2 1546679957.581 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679957.581 * [misc]taylor: Taking taylor expansion of n in n 1546679957.581 * [misc]backup-simplify: Simplify 0 into 0 1546679957.581 * [misc]backup-simplify: Simplify 1 into 1 1546679957.581 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.581 * [misc]backup-simplify: Simplify PI into PI 1546679957.581 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679957.581 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679957.581 * [misc]backup-simplify: Simplify 0 into 0 1546679957.582 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679957.583 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679957.583 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.584 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679957.585 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679957.585 * [misc]backup-simplify: Simplify 0 into 0 1546679957.586 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679957.588 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546679957.588 * [misc]backup-simplify: Simplify 0 into 0 1546679957.590 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679957.592 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546679957.592 * [misc]backup-simplify: Simplify 0 into 0 1546679957.595 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546679957.597 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546679957.597 * [misc]backup-simplify: Simplify 0 into 0 1546679957.601 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546679957.605 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546679957.605 * [misc]backup-simplify: Simplify 0 into 0 1546679957.609 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546679957.613 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546679957.613 * [misc]backup-simplify: Simplify 0 into 0 1546679957.614 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546679957.614 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546679957.614 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546679957.614 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679957.614 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.614 * [misc]backup-simplify: Simplify 2 into 2 1546679957.614 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.614 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.614 * [misc]backup-simplify: Simplify PI into PI 1546679957.614 * [misc]taylor: Taking taylor expansion of n in n 1546679957.614 * [misc]backup-simplify: Simplify 0 into 0 1546679957.614 * [misc]backup-simplify: Simplify 1 into 1 1546679957.614 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.614 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679957.614 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.614 * [misc]backup-simplify: Simplify 2 into 2 1546679957.615 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.615 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.615 * [misc]backup-simplify: Simplify PI into PI 1546679957.615 * [misc]taylor: Taking taylor expansion of n in n 1546679957.615 * [misc]backup-simplify: Simplify 0 into 0 1546679957.615 * [misc]backup-simplify: Simplify 1 into 1 1546679957.615 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.615 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.615 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.617 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679957.617 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679957.617 * [misc]backup-simplify: Simplify 0 into 0 1546679957.619 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.620 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679957.620 * [misc]backup-simplify: Simplify 0 into 0 1546679957.621 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.623 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679957.623 * [misc]backup-simplify: Simplify 0 into 0 1546679957.625 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.627 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679957.627 * [misc]backup-simplify: Simplify 0 into 0 1546679957.629 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.632 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546679957.632 * [misc]backup-simplify: Simplify 0 into 0 1546679957.634 * [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 1546679957.638 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546679957.638 * [misc]backup-simplify: Simplify 0 into 0 1546679957.638 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546679957.638 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546679957.638 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546679957.638 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679957.638 * [misc]taylor: Taking taylor expansion of -2 in n 1546679957.638 * [misc]backup-simplify: Simplify -2 into -2 1546679957.638 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.638 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.638 * [misc]backup-simplify: Simplify PI into PI 1546679957.638 * [misc]taylor: Taking taylor expansion of n in n 1546679957.639 * [misc]backup-simplify: Simplify 0 into 0 1546679957.639 * [misc]backup-simplify: Simplify 1 into 1 1546679957.639 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.639 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679957.639 * [misc]taylor: Taking taylor expansion of -2 in n 1546679957.639 * [misc]backup-simplify: Simplify -2 into -2 1546679957.639 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.639 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.639 * [misc]backup-simplify: Simplify PI into PI 1546679957.639 * [misc]taylor: Taking taylor expansion of n in n 1546679957.639 * [misc]backup-simplify: Simplify 0 into 0 1546679957.639 * [misc]backup-simplify: Simplify 1 into 1 1546679957.639 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.640 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679957.640 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679957.641 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679957.642 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679957.642 * [misc]backup-simplify: Simplify 0 into 0 1546679957.643 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.644 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679957.644 * [misc]backup-simplify: Simplify 0 into 0 1546679957.646 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.647 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679957.647 * [misc]backup-simplify: Simplify 0 into 0 1546679957.649 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.652 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679957.652 * [misc]backup-simplify: Simplify 0 into 0 1546679957.654 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.657 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546679957.657 * [misc]backup-simplify: Simplify 0 into 0 1546679957.659 * [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 1546679957.663 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546679957.663 * [misc]backup-simplify: Simplify 0 into 0 1546679957.663 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546679957.663 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1546679957.663 * [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)))) 1546679957.663 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1546679957.663 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546679957.663 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679957.664 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.664 * [misc]taylor: Taking taylor expansion of k in k 1546679957.664 * [misc]backup-simplify: Simplify 0 into 0 1546679957.664 * [misc]backup-simplify: Simplify 1 into 1 1546679957.664 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.664 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679957.665 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679957.665 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679957.665 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679957.665 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679957.665 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679957.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.665 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679957.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.665 * [misc]taylor: Taking taylor expansion of k in k 1546679957.665 * [misc]backup-simplify: Simplify 0 into 0 1546679957.665 * [misc]backup-simplify: Simplify 1 into 1 1546679957.665 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679957.665 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679957.665 * [misc]taylor: Taking taylor expansion of 2 in k 1546679957.665 * [misc]backup-simplify: Simplify 2 into 2 1546679957.665 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679957.665 * [misc]taylor: Taking taylor expansion of n in k 1546679957.665 * [misc]backup-simplify: Simplify n into n 1546679957.665 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.665 * [misc]backup-simplify: Simplify PI into PI 1546679957.665 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679957.665 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679957.665 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679957.666 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679957.666 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.666 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679957.666 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679957.666 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679957.666 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546679957.666 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546679957.666 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.666 * [misc]taylor: Taking taylor expansion of k in n 1546679957.666 * [misc]backup-simplify: Simplify k into k 1546679957.667 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.667 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546679957.667 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679957.667 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546679957.667 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679957.667 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679957.667 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679957.667 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679957.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.667 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679957.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.667 * [misc]taylor: Taking taylor expansion of k in n 1546679957.667 * [misc]backup-simplify: Simplify k into k 1546679957.667 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679957.667 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679957.667 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.667 * [misc]backup-simplify: Simplify 2 into 2 1546679957.667 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679957.667 * [misc]taylor: Taking taylor expansion of n in n 1546679957.667 * [misc]backup-simplify: Simplify 0 into 0 1546679957.667 * [misc]backup-simplify: Simplify 1 into 1 1546679957.667 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.668 * [misc]backup-simplify: Simplify PI into PI 1546679957.668 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679957.668 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679957.669 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679957.669 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679957.670 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.670 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679957.670 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679957.670 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679957.671 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.671 * [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)))) 1546679957.672 * [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))))) 1546679957.672 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546679957.672 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546679957.672 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.672 * [misc]taylor: Taking taylor expansion of k in n 1546679957.672 * [misc]backup-simplify: Simplify k into k 1546679957.672 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.672 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546679957.672 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679957.672 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546679957.672 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679957.672 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679957.672 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679957.673 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679957.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.673 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679957.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.673 * [misc]taylor: Taking taylor expansion of k in n 1546679957.673 * [misc]backup-simplify: Simplify k into k 1546679957.673 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679957.673 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679957.673 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.673 * [misc]backup-simplify: Simplify 2 into 2 1546679957.673 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679957.673 * [misc]taylor: Taking taylor expansion of n in n 1546679957.673 * [misc]backup-simplify: Simplify 0 into 0 1546679957.673 * [misc]backup-simplify: Simplify 1 into 1 1546679957.673 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.673 * [misc]backup-simplify: Simplify PI into PI 1546679957.673 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679957.673 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679957.674 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679957.675 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679957.675 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.675 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679957.675 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679957.675 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679957.676 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.677 * [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)))) 1546679957.677 * [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))))) 1546679957.678 * [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))) 1546679957.678 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1546679957.678 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546679957.678 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546679957.678 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679957.678 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.678 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679957.678 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.678 * [misc]taylor: Taking taylor expansion of k in k 1546679957.678 * [misc]backup-simplify: Simplify 0 into 0 1546679957.678 * [misc]backup-simplify: Simplify 1 into 1 1546679957.678 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546679957.679 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679957.679 * [misc]taylor: Taking taylor expansion of n in k 1546679957.679 * [misc]backup-simplify: Simplify n into n 1546679957.679 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679957.679 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546679957.679 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546679957.679 * [misc]taylor: Taking taylor expansion of 2 in k 1546679957.679 * [misc]backup-simplify: Simplify 2 into 2 1546679957.679 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.679 * [misc]backup-simplify: Simplify PI into PI 1546679957.679 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.680 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.680 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679957.680 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.680 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679957.681 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.681 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546679957.682 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546679957.682 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679957.682 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.682 * [misc]taylor: Taking taylor expansion of k in k 1546679957.682 * [misc]backup-simplify: Simplify 0 into 0 1546679957.682 * [misc]backup-simplify: Simplify 1 into 1 1546679957.682 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.682 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679957.683 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679957.683 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1546679957.683 * [misc]backup-simplify: Simplify 0 into 0 1546679957.684 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679957.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679957.688 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679957.688 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546679957.688 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.689 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.689 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.690 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546679957.691 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679957.692 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1546679957.692 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.692 * [misc]backup-simplify: Simplify 0 into 0 1546679957.693 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546679957.694 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679957.696 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679957.697 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.697 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679957.697 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679957.697 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679957.698 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546679957.699 * [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))))))) 1546679957.702 * [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))))))) 1546679957.702 * [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))))))) 1546679957.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679957.706 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546679957.711 * [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 1546679957.711 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546679957.711 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.712 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.713 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546679957.717 * [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 1546679957.717 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.718 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1546679957.719 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1546679957.719 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.719 * [misc]backup-simplify: Simplify 0 into 0 1546679957.719 * [misc]backup-simplify: Simplify 0 into 0 1546679957.719 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546679957.720 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679957.722 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546679957.723 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679957.728 * [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 1546679957.728 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.728 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679957.728 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.729 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.729 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546679957.732 * [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))))) 1546679957.737 * [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)))))))) 1546679957.739 * [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)))))))) 1546679957.741 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679957.743 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546679957.748 * [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 1546679957.749 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1546679957.749 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.749 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.749 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679957.750 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546679957.752 * [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 1546679957.753 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.753 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1546679957.753 * [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 1546679957.754 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.754 * [misc]backup-simplify: Simplify 0 into 0 1546679957.754 * [misc]backup-simplify: Simplify 0 into 0 1546679957.754 * [misc]backup-simplify: Simplify 0 into 0 1546679957.754 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.755 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679957.756 * [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 1546679957.757 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679957.762 * [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 1546679957.762 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.762 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546679957.762 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.763 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.763 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546679957.766 * [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))))))) 1546679957.771 * [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)))))))))))))) 1546679957.777 * [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)))))))))))))) 1546679957.789 * [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)))))))))))))))))))))) 1546679957.789 * [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))))) 1546679957.789 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1546679957.789 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546679957.789 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679957.789 * [misc]taylor: Taking taylor expansion of k in k 1546679957.789 * [misc]backup-simplify: Simplify 0 into 0 1546679957.789 * [misc]backup-simplify: Simplify 1 into 1 1546679957.790 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679957.790 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679957.790 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679957.790 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679957.790 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679957.790 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679957.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.790 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679957.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.791 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.791 * [misc]taylor: Taking taylor expansion of k in k 1546679957.791 * [misc]backup-simplify: Simplify 0 into 0 1546679957.791 * [misc]backup-simplify: Simplify 1 into 1 1546679957.791 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.791 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679957.791 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679957.791 * [misc]taylor: Taking taylor expansion of 2 in k 1546679957.791 * [misc]backup-simplify: Simplify 2 into 2 1546679957.791 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679957.791 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.791 * [misc]backup-simplify: Simplify PI into PI 1546679957.791 * [misc]taylor: Taking taylor expansion of n in k 1546679957.791 * [misc]backup-simplify: Simplify n into n 1546679957.791 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679957.791 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679957.791 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679957.791 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679957.792 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679957.792 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679957.792 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679957.792 * [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)))) 1546679957.792 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679957.792 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546679957.792 * [misc]taylor: Taking taylor expansion of k in n 1546679957.792 * [misc]backup-simplify: Simplify k into k 1546679957.792 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546679957.792 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546679957.792 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679957.792 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679957.793 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679957.793 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679957.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.793 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679957.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.793 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.793 * [misc]taylor: Taking taylor expansion of k in n 1546679957.793 * [misc]backup-simplify: Simplify k into k 1546679957.793 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.793 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679957.793 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679957.793 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.793 * [misc]backup-simplify: Simplify 2 into 2 1546679957.793 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.793 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.793 * [misc]backup-simplify: Simplify PI into PI 1546679957.793 * [misc]taylor: Taking taylor expansion of n in n 1546679957.793 * [misc]backup-simplify: Simplify 0 into 0 1546679957.793 * [misc]backup-simplify: Simplify 1 into 1 1546679957.793 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.794 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.794 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.794 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679957.794 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679957.795 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679957.795 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.796 * [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))) 1546679957.797 * [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)))) 1546679957.797 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of k in n 1546679957.797 * [misc]backup-simplify: Simplify k into k 1546679957.797 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546679957.797 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546679957.797 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.797 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.797 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of k in n 1546679957.797 * [misc]backup-simplify: Simplify k into k 1546679957.797 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.797 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of 2 in n 1546679957.797 * [misc]backup-simplify: Simplify 2 into 2 1546679957.797 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.797 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.797 * [misc]backup-simplify: Simplify PI into PI 1546679957.797 * [misc]taylor: Taking taylor expansion of n in n 1546679957.798 * [misc]backup-simplify: Simplify 0 into 0 1546679957.798 * [misc]backup-simplify: Simplify 1 into 1 1546679957.798 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.798 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.799 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.799 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679957.799 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679957.799 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679957.799 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.800 * [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))) 1546679957.800 * [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)))) 1546679957.801 * [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)) 1546679957.801 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1546679957.801 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546679957.801 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546679957.801 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679957.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.801 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679957.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.801 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.801 * [misc]taylor: Taking taylor expansion of k in k 1546679957.801 * [misc]backup-simplify: Simplify 0 into 0 1546679957.801 * [misc]backup-simplify: Simplify 1 into 1 1546679957.801 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.801 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546679957.801 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546679957.801 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546679957.801 * [misc]taylor: Taking taylor expansion of 2 in k 1546679957.801 * [misc]backup-simplify: Simplify 2 into 2 1546679957.801 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.802 * [misc]backup-simplify: Simplify PI into PI 1546679957.802 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679957.802 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679957.802 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679957.802 * [misc]taylor: Taking taylor expansion of n in k 1546679957.802 * [misc]backup-simplify: Simplify n into n 1546679957.802 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679957.802 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679957.802 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679957.802 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679957.803 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679957.803 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546679957.803 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546679957.804 * [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)))) 1546679957.804 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679957.804 * [misc]taylor: Taking taylor expansion of k in k 1546679957.804 * [misc]backup-simplify: Simplify 0 into 0 1546679957.804 * [misc]backup-simplify: Simplify 1 into 1 1546679957.804 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679957.804 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679957.804 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1546679957.805 * [misc]backup-simplify: Simplify 0 into 0 1546679957.805 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679957.806 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679957.807 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679957.807 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679957.808 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679957.808 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.808 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.809 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546679957.810 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679957.810 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546679957.810 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.810 * [misc]backup-simplify: Simplify 0 into 0 1546679957.810 * [misc]backup-simplify: Simplify 0 into 0 1546679957.811 * [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)))))) 1546679957.811 * [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)))))) 1546679957.812 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.813 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679957.816 * [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 1546679957.816 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.816 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679957.816 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.816 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.817 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.817 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546679957.819 * [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 1546679957.819 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1546679957.820 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546679957.820 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.820 * [misc]backup-simplify: Simplify 0 into 0 1546679957.820 * [misc]backup-simplify: Simplify 0 into 0 1546679957.820 * [misc]backup-simplify: Simplify 0 into 0 1546679957.821 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679957.822 * [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)))))) 1546679957.823 * [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)))))) 1546679957.825 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679957.835 * [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 1546679957.835 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.835 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546679957.836 * [misc]backup-simplify: Simplify (- 0) into 0 1546679957.836 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.836 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679957.837 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546679957.841 * [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 1546679957.842 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1546679957.843 * [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 1546679957.843 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.843 * [misc]backup-simplify: Simplify 0 into 0 1546679957.843 * [misc]backup-simplify: Simplify 0 into 0 1546679957.843 * [misc]backup-simplify: Simplify 0 into 0 1546679957.843 * [misc]backup-simplify: Simplify 0 into 0 1546679957.844 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679957.844 * [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)))))) 1546679957.845 * [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)))))) 1546679957.847 * [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)))))))) 1546679957.848 * [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))) 1546679957.848 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1546679957.848 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.848 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of k in k 1546679957.848 * [misc]backup-simplify: Simplify 0 into 0 1546679957.848 * [misc]backup-simplify: Simplify 1 into 1 1546679957.848 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.848 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.848 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of -2 in k 1546679957.848 * [misc]backup-simplify: Simplify -2 into -2 1546679957.848 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679957.848 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.848 * [misc]backup-simplify: Simplify PI into PI 1546679957.848 * [misc]taylor: Taking taylor expansion of n in k 1546679957.848 * [misc]backup-simplify: Simplify n into n 1546679957.848 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679957.848 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679957.848 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679957.849 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679957.849 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679957.849 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679957.849 * [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))) 1546679957.849 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679957.849 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679957.849 * [misc]taylor: Taking taylor expansion of -1 in k 1546679957.849 * [misc]backup-simplify: Simplify -1 into -1 1546679957.849 * [misc]taylor: Taking taylor expansion of k in k 1546679957.849 * [misc]backup-simplify: Simplify 0 into 0 1546679957.849 * [misc]backup-simplify: Simplify 1 into 1 1546679957.849 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679957.849 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679957.850 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679957.850 * [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)))) 1546679957.850 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.850 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of k in n 1546679957.850 * [misc]backup-simplify: Simplify k into k 1546679957.850 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.850 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.850 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of -2 in n 1546679957.850 * [misc]backup-simplify: Simplify -2 into -2 1546679957.850 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.850 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.850 * [misc]backup-simplify: Simplify PI into PI 1546679957.850 * [misc]taylor: Taking taylor expansion of n in n 1546679957.850 * [misc]backup-simplify: Simplify 0 into 0 1546679957.850 * [misc]backup-simplify: Simplify 1 into 1 1546679957.850 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.851 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679957.851 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679957.851 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679957.851 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679957.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679957.852 * [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))) 1546679957.853 * [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)))) 1546679957.853 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546679957.853 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546679957.853 * [misc]taylor: Taking taylor expansion of -1 in n 1546679957.853 * [misc]backup-simplify: Simplify -1 into -1 1546679957.853 * [misc]taylor: Taking taylor expansion of k in n 1546679957.853 * [misc]backup-simplify: Simplify k into k 1546679957.853 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546679957.853 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546679957.853 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546679957.853 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546679957.853 * [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))) 1546679957.853 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546679957.853 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679957.853 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679957.853 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679957.853 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679957.853 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679957.853 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.853 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679957.853 * [misc]taylor: Taking taylor expansion of k in n 1546679957.854 * [misc]backup-simplify: Simplify k into k 1546679957.854 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679957.854 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679957.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.854 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679957.854 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679957.854 * [misc]taylor: Taking taylor expansion of -2 in n 1546679957.854 * [misc]backup-simplify: Simplify -2 into -2 1546679957.854 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679957.854 * [misc]taylor: Taking taylor expansion of PI in n 1546679957.854 * [misc]backup-simplify: Simplify PI into PI 1546679957.854 * [misc]taylor: Taking taylor expansion of n in n 1546679957.854 * [misc]backup-simplify: Simplify 0 into 0 1546679957.854 * [misc]backup-simplify: Simplify 1 into 1 1546679957.854 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679957.854 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679957.854 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679957.854 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679957.854 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679957.855 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679957.855 * [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))) 1546679957.856 * [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)))) 1546679957.856 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546679957.856 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546679957.856 * [misc]taylor: Taking taylor expansion of -1 in n 1546679957.856 * [misc]backup-simplify: Simplify -1 into -1 1546679957.856 * [misc]taylor: Taking taylor expansion of k in n 1546679957.856 * [misc]backup-simplify: Simplify k into k 1546679957.856 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546679957.856 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546679957.856 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546679957.856 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546679957.856 * [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))) 1546679957.857 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1546679957.857 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546679957.857 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546679957.857 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679957.857 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679957.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.857 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679957.857 * [misc]taylor: Taking taylor expansion of k in k 1546679957.857 * [misc]backup-simplify: Simplify 0 into 0 1546679957.857 * [misc]backup-simplify: Simplify 1 into 1 1546679957.857 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679957.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679957.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679957.857 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546679957.857 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546679957.857 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546679957.857 * [misc]taylor: Taking taylor expansion of -2 in k 1546679957.857 * [misc]backup-simplify: Simplify -2 into -2 1546679957.857 * [misc]taylor: Taking taylor expansion of PI in k 1546679957.857 * [misc]backup-simplify: Simplify PI into PI 1546679957.857 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679957.857 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679957.858 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679957.858 * [misc]taylor: Taking taylor expansion of n in k 1546679957.858 * [misc]backup-simplify: Simplify n into n 1546679957.858 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679957.858 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679957.858 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679957.858 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679957.858 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546679957.858 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546679957.859 * [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)))) 1546679957.859 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679957.859 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679957.859 * [misc]taylor: Taking taylor expansion of -1 in k 1546679957.859 * [misc]backup-simplify: Simplify -1 into -1 1546679957.859 * [misc]taylor: Taking taylor expansion of k in k 1546679957.859 * [misc]backup-simplify: Simplify 0 into 0 1546679957.859 * [misc]backup-simplify: Simplify 1 into 1 1546679957.859 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679957.859 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679957.860 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679957.860 * [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))))) 1546679957.860 * [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))))) 1546679957.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679957.861 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679957.863 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546679957.863 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679957.863 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679957.864 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.864 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679957.864 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546679957.865 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679957.866 * [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 1546679957.866 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.866 * [misc]backup-simplify: Simplify 0 into 0 1546679957.866 * [misc]backup-simplify: Simplify 0 into 0 1546679957.866 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546679957.867 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679957.868 * [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)))))) 1546679957.868 * [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)))))) 1546679957.869 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.870 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679957.873 * [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 1546679957.873 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.874 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679957.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679957.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679957.875 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546679957.878 * [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 1546679957.878 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679957.879 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546679957.879 * [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 1546679957.880 * [misc]taylor: Taking taylor expansion of 0 in k 1546679957.880 * [misc]backup-simplify: Simplify 0 into 0 1546679957.880 * [misc]backup-simplify: Simplify 0 into 0 1546679957.880 * [misc]backup-simplify: Simplify 0 into 0 1546679957.880 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679957.881 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679957.883 * [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)))))) 1546679957.884 * [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)))))) 1546679957.886 * [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))))))))))) 1546679957.886 * * * [misc]progress: simplifying candidates 1546679957.886 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1546679957.886 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546679957.887 * * [misc]simplify: iters left: 6 (11 enodes) 1546679957.890 * * [misc]simplify: iters left: 5 (21 enodes) 1546679957.897 * * [misc]simplify: iters left: 4 (47 enodes) 1546679957.913 * * [misc]simplify: iters left: 3 (109 enodes) 1546679957.958 * * [misc]simplify: iters left: 2 (300 enodes) 1546679958.167 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546679958.167 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1546679958.167 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1546679958.167 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1546679958.167 * [enter]simplify: Simplifying (* PI (* n 2)) 1546679958.167 * * [misc]simplify: iters left: 4 (5 enodes) 1546679958.168 * * [misc]simplify: iters left: 3 (9 enodes) 1546679958.170 * * [misc]simplify: iters left: 2 (15 enodes) 1546679958.172 * * [misc]simplify: iters left: 1 (17 enodes) 1546679958.174 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546679958.174 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1546679958.174 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1546679958.174 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546679958.174 * * [misc]simplify: iters left: 5 (8 enodes) 1546679958.176 * * [misc]simplify: iters left: 4 (12 enodes) 1546679958.178 * * [misc]simplify: iters left: 3 (18 enodes) 1546679958.180 * * [misc]simplify: iters left: 2 (20 enodes) 1546679958.183 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546679958.183 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1546679958.183 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1546679958.183 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546679958.183 * * [misc]simplify: iters left: 5 (6 enodes) 1546679958.185 * * [misc]simplify: iters left: 4 (8 enodes) 1546679958.187 * * [misc]simplify: iters left: 3 (11 enodes) 1546679958.190 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546679958.190 * [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))) 1546679958.191 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1546679958.191 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546679958.191 * * [misc]simplify: iters left: 5 (6 enodes) 1546679958.193 * * [misc]simplify: iters left: 4 (8 enodes) 1546679958.195 * * [misc]simplify: iters left: 3 (11 enodes) 1546679958.198 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546679958.199 * [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))) 1546679958.199 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1546679958.199 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546679958.199 * * [misc]simplify: iters left: 4 (5 enodes) 1546679958.201 * * [misc]simplify: iters left: 3 (7 enodes) 1546679958.203 * * [misc]simplify: iters left: 2 (10 enodes) 1546679958.206 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546679958.206 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1546679958.206 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1546679958.206 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546679958.207 * * [misc]simplify: iters left: 5 (9 enodes) 1546679958.210 * * [misc]simplify: iters left: 4 (15 enodes) 1546679958.214 * * [misc]simplify: iters left: 3 (21 enodes) 1546679958.220 * * [misc]simplify: iters left: 2 (22 enodes) 1546679958.226 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546679958.226 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546679958.226 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1546679958.226 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546679958.226 * * [misc]simplify: iters left: 5 (9 enodes) 1546679958.230 * * [misc]simplify: iters left: 4 (15 enodes) 1546679958.234 * * [misc]simplify: iters left: 3 (21 enodes) 1546679958.238 * * [misc]simplify: iters left: 2 (22 enodes) 1546679958.241 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546679958.241 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546679958.241 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1546679958.241 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546679958.241 * * [misc]simplify: iters left: 5 (7 enodes) 1546679958.242 * * [misc]simplify: iters left: 4 (9 enodes) 1546679958.244 * * [misc]simplify: iters left: 3 (12 enodes) 1546679958.246 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546679958.246 * [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))) 1546679958.246 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1546679958.246 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1546679958.246 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546679958.247 * * [misc]simplify: iters left: 6 (14 enodes) 1546679958.249 * * [misc]simplify: iters left: 5 (26 enodes) 1546679958.253 * * [misc]simplify: iters left: 4 (53 enodes) 1546679958.596 * * [misc]simplify: iters left: 3 (137 enodes) 1546679958.651 * * [misc]simplify: iters left: 2 (487 enodes) 1546679959.120 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1546679959.120 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1546679959.120 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1546679959.121 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546679959.121 * * [misc]simplify: iters left: 6 (14 enodes) 1546679959.123 * * [misc]simplify: iters left: 5 (26 enodes) 1546679959.128 * * [misc]simplify: iters left: 4 (53 enodes) 1546679959.141 * * [misc]simplify: iters left: 3 (137 enodes) 1546679959.200 * * [misc]simplify: iters left: 2 (487 enodes) 1546679959.708 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1546679959.708 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1546679959.708 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1546679959.709 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1546679959.709 * * [misc]simplify: iters left: 6 (14 enodes) 1546679959.713 * * [misc]simplify: iters left: 5 (24 enodes) 1546679959.721 * * [misc]simplify: iters left: 4 (42 enodes) 1546679959.729 * * [misc]simplify: iters left: 3 (71 enodes) 1546679959.746 * * [misc]simplify: iters left: 2 (208 enodes) 1546679959.959 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1546679959.960 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1546679959.960 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1546679959.960 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1546679959.960 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1546679959.960 * [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))) 1546679959.960 * * [misc]simplify: iters left: 6 (16 enodes) 1546679959.963 * * [misc]simplify: iters left: 5 (31 enodes) 1546679959.968 * * [misc]simplify: iters left: 4 (67 enodes) 1546679959.981 * * [misc]simplify: iters left: 3 (124 enodes) 1546679960.015 * * [misc]simplify: iters left: 2 (195 enodes) 1546679960.096 * * [misc]simplify: iters left: 1 (309 enodes) 1546679960.247 * [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)))) 1546679960.247 * [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)))))) 1546679960.247 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1546679960.247 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1546679960.247 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1546679960.247 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1546679960.247 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1546679960.247 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679960.247 * * [misc]simplify: iters left: 6 (12 enodes) 1546679960.249 * * [misc]simplify: iters left: 5 (19 enodes) 1546679960.252 * * [misc]simplify: iters left: 4 (25 enodes) 1546679960.256 * * [misc]simplify: iters left: 3 (26 enodes) 1546679960.260 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679960.260 * [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))))) 1546679960.260 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546679960.260 * * [misc]simplify: iters left: 6 (12 enodes) 1546679960.262 * * [misc]simplify: iters left: 5 (18 enodes) 1546679960.265 * * [misc]simplify: iters left: 4 (24 enodes) 1546679960.269 * * [misc]simplify: iters left: 3 (25 enodes) 1546679960.273 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546679960.273 * [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))))) 1546679960.273 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1546679960.273 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546679960.273 * * [misc]simplify: iters left: 6 (11 enodes) 1546679960.277 * * [misc]simplify: iters left: 5 (16 enodes) 1546679960.281 * * [misc]simplify: iters left: 4 (22 enodes) 1546679960.284 * * [misc]simplify: iters left: 3 (24 enodes) 1546679960.287 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546679960.287 * [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))))) 1546679960.287 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546679960.287 * * [misc]simplify: iters left: 6 (12 enodes) 1546679960.289 * * [misc]simplify: iters left: 5 (18 enodes) 1546679960.292 * * [misc]simplify: iters left: 4 (24 enodes) 1546679960.295 * * [misc]simplify: iters left: 3 (25 enodes) 1546679960.299 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546679960.299 * [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))))) 1546679960.299 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1546679960.299 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546679960.299 * * [misc]simplify: iters left: 6 (9 enodes) 1546679960.300 * * [misc]simplify: iters left: 5 (16 enodes) 1546679960.303 * * [misc]simplify: iters left: 4 (24 enodes) 1546679960.306 * * [misc]simplify: iters left: 3 (26 enodes) 1546679960.311 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546679960.311 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546679960.311 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546679960.311 * * [misc]simplify: iters left: 6 (11 enodes) 1546679960.315 * * [misc]simplify: iters left: 5 (17 enodes) 1546679960.323 * * [misc]simplify: iters left: 4 (23 enodes) 1546679960.329 * * [misc]simplify: iters left: 3 (24 enodes) 1546679960.333 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546679960.333 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546679960.333 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1546679960.334 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679960.334 * * [misc]simplify: iters left: 6 (12 enodes) 1546679960.336 * * [misc]simplify: iters left: 5 (19 enodes) 1546679960.338 * * [misc]simplify: iters left: 4 (25 enodes) 1546679960.342 * * [misc]simplify: iters left: 3 (26 enodes) 1546679960.345 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679960.346 * [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))))) 1546679960.346 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546679960.346 * * [misc]simplify: iters left: 6 (12 enodes) 1546679960.348 * * [misc]simplify: iters left: 5 (18 enodes) 1546679960.350 * * [misc]simplify: iters left: 4 (24 enodes) 1546679960.354 * * [misc]simplify: iters left: 3 (25 enodes) 1546679960.357 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546679960.357 * [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))))) 1546679960.357 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1546679960.357 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546679960.357 * * [misc]simplify: iters left: 6 (11 enodes) 1546679960.359 * * [misc]simplify: iters left: 5 (16 enodes) 1546679960.361 * * [misc]simplify: iters left: 4 (22 enodes) 1546679960.366 * * [misc]simplify: iters left: 3 (24 enodes) 1546679960.372 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546679960.373 * [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))))) 1546679960.373 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546679960.373 * * [misc]simplify: iters left: 6 (12 enodes) 1546679960.377 * * [misc]simplify: iters left: 5 (18 enodes) 1546679960.382 * * [misc]simplify: iters left: 4 (24 enodes) 1546679960.389 * * [misc]simplify: iters left: 3 (25 enodes) 1546679960.396 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546679960.396 * [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))))) 1546679960.396 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1546679960.396 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546679960.396 * * [misc]simplify: iters left: 6 (9 enodes) 1546679960.399 * * [misc]simplify: iters left: 5 (16 enodes) 1546679960.404 * * [misc]simplify: iters left: 4 (24 enodes) 1546679960.410 * * [misc]simplify: iters left: 3 (26 enodes) 1546679960.416 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546679960.416 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546679960.416 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546679960.416 * * [misc]simplify: iters left: 6 (11 enodes) 1546679960.420 * * [misc]simplify: iters left: 5 (17 enodes) 1546679960.425 * * [misc]simplify: iters left: 4 (23 enodes) 1546679960.432 * * [misc]simplify: iters left: 3 (24 enodes) 1546679960.439 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546679960.439 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546679960.439 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1546679960.439 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679960.439 * * [misc]simplify: iters left: 6 (11 enodes) 1546679960.443 * * [misc]simplify: iters left: 5 (15 enodes) 1546679960.448 * * [misc]simplify: iters left: 4 (18 enodes) 1546679960.454 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679960.455 * [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))))) 1546679960.455 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546679960.455 * * [misc]simplify: iters left: 6 (11 enodes) 1546679960.458 * * [misc]simplify: iters left: 5 (14 enodes) 1546679960.463 * * [misc]simplify: iters left: 4 (17 enodes) 1546679960.468 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546679960.468 * [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))))) 1546679960.468 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1546679960.468 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546679960.468 * * [misc]simplify: iters left: 6 (10 enodes) 1546679960.471 * * [misc]simplify: iters left: 5 (12 enodes) 1546679960.475 * * [misc]simplify: iters left: 4 (15 enodes) 1546679960.479 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546679960.479 * [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))))) 1546679960.480 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546679960.480 * * [misc]simplify: iters left: 6 (11 enodes) 1546679960.481 * * [misc]simplify: iters left: 5 (14 enodes) 1546679960.484 * * [misc]simplify: iters left: 4 (17 enodes) 1546679960.486 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546679960.486 * [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))))) 1546679960.486 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1546679960.486 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1546679960.486 * * [misc]simplify: iters left: 6 (9 enodes) 1546679960.488 * * [misc]simplify: iters left: 5 (13 enodes) 1546679960.490 * * [misc]simplify: iters left: 4 (18 enodes) 1546679960.492 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546679960.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546679960.493 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546679960.493 * * [misc]simplify: iters left: 6 (10 enodes) 1546679960.494 * * [misc]simplify: iters left: 5 (13 enodes) 1546679960.496 * * [misc]simplify: iters left: 4 (16 enodes) 1546679960.498 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546679960.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546679960.498 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1546679960.499 * [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)))) 1546679960.499 * * [misc]simplify: iters left: 6 (16 enodes) 1546679960.501 * * [misc]simplify: iters left: 5 (28 enodes) 1546679960.506 * * [misc]simplify: iters left: 4 (46 enodes) 1546679960.513 * * [misc]simplify: iters left: 3 (50 enodes) 1546679960.523 * * [misc]simplify: iters left: 2 (53 enodes) 1546679960.537 * [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)))) 1546679960.537 * [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))))) 1546679960.538 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546679960.538 * * [misc]simplify: iters left: 6 (14 enodes) 1546679960.542 * * [misc]simplify: iters left: 5 (20 enodes) 1546679960.549 * * [misc]simplify: iters left: 4 (29 enodes) 1546679960.557 * * [misc]simplify: iters left: 3 (30 enodes) 1546679960.565 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546679960.565 * [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))))) 1546679960.565 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1546679960.565 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546679960.566 * * [misc]simplify: iters left: 6 (15 enodes) 1546679960.570 * * [misc]simplify: iters left: 5 (23 enodes) 1546679960.579 * * [misc]simplify: iters left: 4 (34 enodes) 1546679960.589 * * [misc]simplify: iters left: 3 (37 enodes) 1546679960.600 * [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)))))) 1546679960.600 * [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))))) 1546679960.600 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546679960.600 * * [misc]simplify: iters left: 6 (14 enodes) 1546679960.605 * * [misc]simplify: iters left: 5 (20 enodes) 1546679960.611 * * [misc]simplify: iters left: 4 (29 enodes) 1546679960.619 * * [misc]simplify: iters left: 3 (30 enodes) 1546679960.623 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546679960.623 * [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))))) 1546679960.623 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1546679960.624 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1546679960.624 * * [misc]simplify: iters left: 6 (14 enodes) 1546679960.626 * * [misc]simplify: iters left: 5 (24 enodes) 1546679960.630 * * [misc]simplify: iters left: 4 (39 enodes) 1546679960.636 * * [misc]simplify: iters left: 3 (54 enodes) 1546679960.643 * * [misc]simplify: iters left: 2 (80 enodes) 1546679960.655 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546679960.655 * [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)))) 1546679960.655 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546679960.655 * * [misc]simplify: iters left: 6 (13 enodes) 1546679960.657 * * [misc]simplify: iters left: 5 (19 enodes) 1546679960.662 * * [misc]simplify: iters left: 4 (28 enodes) 1546679960.670 * * [misc]simplify: iters left: 3 (30 enodes) 1546679960.678 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546679960.678 * [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)))) 1546679960.678 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1546679960.679 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679960.679 * * [misc]simplify: iters left: 6 (15 enodes) 1546679960.684 * * [misc]simplify: iters left: 5 (23 enodes) 1546679960.691 * * [misc]simplify: iters left: 4 (32 enodes) 1546679960.701 * * [misc]simplify: iters left: 3 (34 enodes) 1546679960.711 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679960.711 * [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))))) 1546679960.711 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546679960.711 * * [misc]simplify: iters left: 6 (14 enodes) 1546679960.716 * * [misc]simplify: iters left: 5 (20 enodes) 1546679960.722 * * [misc]simplify: iters left: 4 (29 enodes) 1546679960.730 * * [misc]simplify: iters left: 3 (30 enodes) 1546679960.738 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546679960.738 * [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))))) 1546679960.738 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1546679960.738 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546679960.738 * * [misc]simplify: iters left: 6 (14 enodes) 1546679960.743 * * [misc]simplify: iters left: 5 (20 enodes) 1546679960.749 * * [misc]simplify: iters left: 4 (29 enodes) 1546679960.757 * * [misc]simplify: iters left: 3 (30 enodes) 1546679960.765 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546679960.765 * [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))))) 1546679960.766 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546679960.766 * * [misc]simplify: iters left: 6 (14 enodes) 1546679960.770 * * [misc]simplify: iters left: 5 (20 enodes) 1546679960.774 * * [misc]simplify: iters left: 4 (29 enodes) 1546679960.778 * * [misc]simplify: iters left: 3 (30 enodes) 1546679960.782 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546679960.782 * [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))))) 1546679960.782 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1546679960.782 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1546679960.782 * * [misc]simplify: iters left: 6 (13 enodes) 1546679960.784 * * [misc]simplify: iters left: 5 (21 enodes) 1546679960.788 * * [misc]simplify: iters left: 4 (32 enodes) 1546679960.792 * * [misc]simplify: iters left: 3 (33 enodes) 1546679960.795 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546679960.796 * [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)))) 1546679960.796 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546679960.796 * * [misc]simplify: iters left: 6 (13 enodes) 1546679960.798 * * [misc]simplify: iters left: 5 (19 enodes) 1546679960.802 * * [misc]simplify: iters left: 4 (28 enodes) 1546679960.810 * * [misc]simplify: iters left: 3 (30 enodes) 1546679960.818 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546679960.818 * [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)))) 1546679960.818 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1546679960.819 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679960.819 * * [misc]simplify: iters left: 6 (6 enodes) 1546679960.820 * * [misc]simplify: iters left: 5 (10 enodes) 1546679960.821 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1546679960.822 * [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))))) 1546679960.822 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546679960.822 * * [misc]simplify: iters left: 6 (13 enodes) 1546679960.824 * * [misc]simplify: iters left: 5 (19 enodes) 1546679960.828 * * [misc]simplify: iters left: 4 (28 enodes) 1546679960.832 * * [misc]simplify: iters left: 3 (30 enodes) 1546679960.836 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546679960.836 * [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))))) 1546679960.836 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1546679960.836 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1546679960.836 * * [misc]simplify: iters left: 4 (5 enodes) 1546679960.837 * * [misc]simplify: iters left: 3 (7 enodes) 1546679960.838 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546679960.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546679960.838 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546679960.838 * * [misc]simplify: iters left: 6 (13 enodes) 1546679960.840 * * [misc]simplify: iters left: 5 (19 enodes) 1546679960.843 * * [misc]simplify: iters left: 4 (28 enodes) 1546679960.847 * * [misc]simplify: iters left: 3 (30 enodes) 1546679960.851 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546679960.851 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546679960.851 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1546679960.852 * [enter]simplify: Simplifying (/ 1 1) 1546679960.852 * * [misc]simplify: iters left: 2 (2 enodes) 1546679960.852 * * [misc]simplify: iters left: 1 (4 enodes) 1546679960.852 * [exit]simplify: Simplified to 1 1546679960.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546679960.852 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546679960.853 * * [misc]simplify: iters left: 6 (12 enodes) 1546679960.854 * * [misc]simplify: iters left: 5 (18 enodes) 1546679960.857 * * [misc]simplify: iters left: 4 (27 enodes) 1546679960.861 * * [misc]simplify: iters left: 3 (29 enodes) 1546679960.867 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546679960.867 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546679960.867 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1546679960.867 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1546679960.867 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1546679960.867 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1546679960.867 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546679960.867 * * [misc]simplify: iters left: 2 (3 enodes) 1546679960.868 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546679960.868 * [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)))) 1546679960.868 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1546679960.869 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546679960.869 * * [misc]simplify: iters left: 2 (3 enodes) 1546679960.870 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546679960.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546679960.870 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1546679960.870 * [enter]simplify: Simplifying (sqrt k) 1546679960.870 * * [misc]simplify: iters left: 1 (2 enodes) 1546679960.871 * [exit]simplify: Simplified to (sqrt k) 1546679960.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1546679960.871 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1546679960.871 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546679960.871 * * [misc]simplify: iters left: 5 (7 enodes) 1546679960.873 * * [misc]simplify: iters left: 4 (12 enodes) 1546679960.877 * * [misc]simplify: iters left: 3 (18 enodes) 1546679960.881 * * [misc]simplify: iters left: 2 (20 enodes) 1546679960.883 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546679960.883 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546679960.883 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1546679960.883 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546679960.883 * * [misc]simplify: iters left: 5 (7 enodes) 1546679960.885 * * [misc]simplify: iters left: 4 (12 enodes) 1546679960.886 * * [misc]simplify: iters left: 3 (18 enodes) 1546679960.889 * * [misc]simplify: iters left: 2 (20 enodes) 1546679960.891 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546679960.891 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546679960.891 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1546679960.892 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546679960.892 * * [misc]simplify: iters left: 5 (7 enodes) 1546679960.893 * * [misc]simplify: iters left: 4 (9 enodes) 1546679960.894 * * [misc]simplify: iters left: 3 (12 enodes) 1546679960.896 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546679960.896 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679960.896 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1546679960.896 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679960.896 * * [misc]simplify: iters left: 6 (12 enodes) 1546679960.898 * * [misc]simplify: iters left: 5 (18 enodes) 1546679960.901 * * [misc]simplify: iters left: 4 (27 enodes) 1546679960.905 * * [misc]simplify: iters left: 3 (29 enodes) 1546679960.909 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546679960.909 * [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))))))) 1546679960.909 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1546679960.909 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679960.909 * * [misc]simplify: iters left: 6 (11 enodes) 1546679960.911 * * [misc]simplify: iters left: 5 (17 enodes) 1546679960.915 * * [misc]simplify: iters left: 4 (26 enodes) 1546679960.924 * * [misc]simplify: iters left: 3 (27 enodes) 1546679960.931 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546679960.931 * [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))))))) 1546679960.931 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1546679960.931 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1546679960.931 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546679960.932 * * [misc]simplify: iters left: 5 (7 enodes) 1546679960.934 * * [misc]simplify: iters left: 4 (12 enodes) 1546679960.938 * * [misc]simplify: iters left: 3 (18 enodes) 1546679960.943 * * [misc]simplify: iters left: 2 (20 enodes) 1546679960.948 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546679960.948 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1546679960.948 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1546679960.949 * [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))))) 1546679960.949 * * [misc]simplify: iters left: 6 (37 enodes) 1546679960.965 * * [misc]simplify: iters left: 5 (105 enodes) 1546679960.997 * * [misc]simplify: iters left: 4 (339 enodes) 1546679961.184 * [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))))) 1546679961.185 * [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))) 1546679961.185 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1546679961.185 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546679961.185 * * [misc]simplify: iters left: 6 (15 enodes) 1546679961.188 * * [misc]simplify: iters left: 5 (33 enodes) 1546679961.194 * * [misc]simplify: iters left: 4 (64 enodes) 1546679961.207 * * [misc]simplify: iters left: 3 (171 enodes) 1546679961.280 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1546679961.280 * [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))) 1546679961.280 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1546679961.280 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546679961.280 * * [misc]simplify: iters left: 6 (15 enodes) 1546679961.284 * * [misc]simplify: iters left: 5 (30 enodes) 1546679961.289 * * [misc]simplify: iters left: 4 (65 enodes) 1546679961.307 * * [misc]simplify: iters left: 3 (200 enodes) 1546679961.442 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1546679961.442 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1546679961.442 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1546679961.442 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546679961.442 * * [misc]simplify: iters left: 4 (5 enodes) 1546679961.444 * * [misc]simplify: iters left: 3 (9 enodes) 1546679961.447 * * [misc]simplify: iters left: 2 (15 enodes) 1546679961.451 * * [misc]simplify: iters left: 1 (17 enodes) 1546679961.456 * [exit]simplify: Simplified to (* (* PI n) 2) 1546679961.456 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546679961.456 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1546679961.456 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546679961.456 * * [misc]simplify: iters left: 4 (5 enodes) 1546679961.458 * * [misc]simplify: iters left: 3 (9 enodes) 1546679961.461 * * [misc]simplify: iters left: 2 (15 enodes) 1546679961.465 * * [misc]simplify: iters left: 1 (17 enodes) 1546679961.470 * [exit]simplify: Simplified to (* (* PI n) 2) 1546679961.470 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546679961.470 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1546679961.470 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546679961.471 * * [misc]simplify: iters left: 4 (5 enodes) 1546679961.472 * * [misc]simplify: iters left: 3 (9 enodes) 1546679961.475 * * [misc]simplify: iters left: 2 (15 enodes) 1546679961.479 * * [misc]simplify: iters left: 1 (17 enodes) 1546679961.484 * [exit]simplify: Simplified to (* (* PI n) 2) 1546679961.484 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546679961.484 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1546679961.484 * [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)))))))))))))))))))))) 1546679961.484 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546679961.484 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1546679961.485 * [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)))))))) 1546679961.485 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546679961.485 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1546679961.485 * [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))))))))))) 1546679961.485 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546679961.485 * * * [misc]progress: adding candidates to table 1546679962.411 * * [misc]progress: iteration 2 / 4 1546679962.411 * * * [misc]progress: picking best candidate 1546679962.483 * * * * [misc]pick: Picked # 1546679962.483 * * * [misc]progress: localizing error 1546679962.496 * * * [misc]progress: generating rewritten candidates 1546679962.496 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546679962.500 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1546679962.502 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546679962.511 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546679962.518 * * * [misc]progress: generating series expansions 1546679962.518 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546679962.518 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546679962.518 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546679962.518 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679962.518 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679962.518 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679962.518 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679962.518 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.519 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679962.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.519 * [misc]taylor: Taking taylor expansion of k in k 1546679962.519 * [misc]backup-simplify: Simplify 0 into 0 1546679962.519 * [misc]backup-simplify: Simplify 1 into 1 1546679962.519 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679962.519 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679962.519 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.519 * [misc]backup-simplify: Simplify 2 into 2 1546679962.519 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679962.519 * [misc]taylor: Taking taylor expansion of n in k 1546679962.519 * [misc]backup-simplify: Simplify n into n 1546679962.519 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.519 * [misc]backup-simplify: Simplify PI into PI 1546679962.519 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679962.519 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679962.519 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679962.519 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679962.520 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.520 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.520 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679962.520 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679962.520 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679962.520 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679962.520 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679962.520 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679962.520 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.520 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679962.520 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.520 * [misc]taylor: Taking taylor expansion of k in n 1546679962.520 * [misc]backup-simplify: Simplify k into k 1546679962.520 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679962.520 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.520 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.520 * [misc]backup-simplify: Simplify 2 into 2 1546679962.520 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.520 * [misc]taylor: Taking taylor expansion of n in n 1546679962.520 * [misc]backup-simplify: Simplify 0 into 0 1546679962.521 * [misc]backup-simplify: Simplify 1 into 1 1546679962.521 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.521 * [misc]backup-simplify: Simplify PI into PI 1546679962.521 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.521 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679962.522 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.523 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679962.523 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.523 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679962.523 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679962.523 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679962.524 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.525 * [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)))) 1546679962.525 * [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))))) 1546679962.525 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679962.525 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679962.525 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679962.525 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679962.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.525 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679962.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.525 * [misc]taylor: Taking taylor expansion of k in n 1546679962.526 * [misc]backup-simplify: Simplify k into k 1546679962.526 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679962.526 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.526 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.526 * [misc]backup-simplify: Simplify 2 into 2 1546679962.526 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.526 * [misc]taylor: Taking taylor expansion of n in n 1546679962.526 * [misc]backup-simplify: Simplify 0 into 0 1546679962.526 * [misc]backup-simplify: Simplify 1 into 1 1546679962.526 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.526 * [misc]backup-simplify: Simplify PI into PI 1546679962.526 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.526 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679962.527 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.527 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679962.528 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.528 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679962.528 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679962.528 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679962.529 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.529 * [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)))) 1546679962.530 * [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))))) 1546679962.530 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546679962.530 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546679962.530 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679962.530 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.530 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679962.530 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.530 * [misc]taylor: Taking taylor expansion of k in k 1546679962.530 * [misc]backup-simplify: Simplify 0 into 0 1546679962.531 * [misc]backup-simplify: Simplify 1 into 1 1546679962.531 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546679962.531 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679962.531 * [misc]taylor: Taking taylor expansion of n in k 1546679962.531 * [misc]backup-simplify: Simplify n into n 1546679962.531 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679962.531 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546679962.531 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546679962.531 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.531 * [misc]backup-simplify: Simplify 2 into 2 1546679962.531 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.531 * [misc]backup-simplify: Simplify PI into PI 1546679962.531 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.532 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.532 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679962.532 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.532 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.533 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.533 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546679962.534 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546679962.534 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546679962.535 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679962.537 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679962.539 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679962.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546679962.540 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.541 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.541 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546679962.543 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679962.543 * [misc]taylor: Taking taylor expansion of 0 in k 1546679962.543 * [misc]backup-simplify: Simplify 0 into 0 1546679962.543 * [misc]backup-simplify: Simplify 0 into 0 1546679962.544 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546679962.544 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679962.547 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679962.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.548 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679962.548 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679962.548 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679962.549 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546679962.550 * [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))))))) 1546679962.551 * [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))))))) 1546679962.553 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679962.555 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546679962.560 * [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 1546679962.561 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546679962.561 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.562 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.563 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546679962.565 * [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 1546679962.565 * [misc]taylor: Taking taylor expansion of 0 in k 1546679962.565 * [misc]backup-simplify: Simplify 0 into 0 1546679962.565 * [misc]backup-simplify: Simplify 0 into 0 1546679962.565 * [misc]backup-simplify: Simplify 0 into 0 1546679962.567 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546679962.568 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679962.573 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546679962.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.573 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679962.574 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.575 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546679962.577 * [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))))) 1546679962.579 * [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))))) 1546679962.584 * [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))))) 1546679962.585 * [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)))) 1546679962.585 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546679962.585 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679962.585 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679962.585 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679962.585 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679962.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679962.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.585 * [misc]taylor: Taking taylor expansion of k in k 1546679962.585 * [misc]backup-simplify: Simplify 0 into 0 1546679962.585 * [misc]backup-simplify: Simplify 1 into 1 1546679962.585 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.585 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679962.585 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679962.585 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.586 * [misc]backup-simplify: Simplify 2 into 2 1546679962.586 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679962.586 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.586 * [misc]backup-simplify: Simplify PI into PI 1546679962.586 * [misc]taylor: Taking taylor expansion of n in k 1546679962.586 * [misc]backup-simplify: Simplify n into n 1546679962.586 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679962.586 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679962.586 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679962.586 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679962.586 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679962.586 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679962.587 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679962.587 * [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)))) 1546679962.587 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679962.587 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679962.587 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679962.587 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679962.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.587 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.587 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.587 * [misc]taylor: Taking taylor expansion of k in n 1546679962.587 * [misc]backup-simplify: Simplify k into k 1546679962.587 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.587 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679962.587 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679962.587 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.587 * [misc]backup-simplify: Simplify 2 into 2 1546679962.587 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.587 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.587 * [misc]backup-simplify: Simplify PI into PI 1546679962.587 * [misc]taylor: Taking taylor expansion of n in n 1546679962.587 * [misc]backup-simplify: Simplify 0 into 0 1546679962.587 * [misc]backup-simplify: Simplify 1 into 1 1546679962.588 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.588 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.589 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.589 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.589 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679962.589 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679962.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.590 * [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))) 1546679962.591 * [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)))) 1546679962.591 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679962.591 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679962.591 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679962.591 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679962.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.591 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.591 * [misc]taylor: Taking taylor expansion of k in n 1546679962.591 * [misc]backup-simplify: Simplify k into k 1546679962.591 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.591 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679962.591 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679962.591 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.591 * [misc]backup-simplify: Simplify 2 into 2 1546679962.591 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.591 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.591 * [misc]backup-simplify: Simplify PI into PI 1546679962.592 * [misc]taylor: Taking taylor expansion of n in n 1546679962.592 * [misc]backup-simplify: Simplify 0 into 0 1546679962.592 * [misc]backup-simplify: Simplify 1 into 1 1546679962.592 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.592 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.593 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.593 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.593 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679962.593 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679962.594 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.594 * [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))) 1546679962.595 * [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)))) 1546679962.595 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546679962.595 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546679962.595 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679962.595 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.595 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679962.595 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.595 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.595 * [misc]taylor: Taking taylor expansion of k in k 1546679962.595 * [misc]backup-simplify: Simplify 0 into 0 1546679962.595 * [misc]backup-simplify: Simplify 1 into 1 1546679962.595 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.595 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546679962.595 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546679962.596 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546679962.596 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.596 * [misc]backup-simplify: Simplify 2 into 2 1546679962.596 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.596 * [misc]backup-simplify: Simplify PI into PI 1546679962.596 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.596 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.596 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679962.596 * [misc]taylor: Taking taylor expansion of n in k 1546679962.596 * [misc]backup-simplify: Simplify n into n 1546679962.597 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679962.597 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679962.597 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679962.597 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679962.597 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679962.598 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546679962.598 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546679962.599 * [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)))) 1546679962.599 * [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)))) 1546679962.601 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679962.601 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679962.604 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679962.604 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679962.604 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679962.605 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.605 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.606 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546679962.608 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679962.608 * [misc]taylor: Taking taylor expansion of 0 in k 1546679962.608 * [misc]backup-simplify: Simplify 0 into 0 1546679962.608 * [misc]backup-simplify: Simplify 0 into 0 1546679962.608 * [misc]backup-simplify: Simplify 0 into 0 1546679962.610 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.611 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679962.616 * [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 1546679962.616 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679962.616 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679962.616 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.616 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.617 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.617 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546679962.621 * [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 1546679962.621 * [misc]taylor: Taking taylor expansion of 0 in k 1546679962.621 * [misc]backup-simplify: Simplify 0 into 0 1546679962.621 * [misc]backup-simplify: Simplify 0 into 0 1546679962.621 * [misc]backup-simplify: Simplify 0 into 0 1546679962.621 * [misc]backup-simplify: Simplify 0 into 0 1546679962.622 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.623 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679962.628 * [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 1546679962.628 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679962.628 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546679962.628 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.628 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.629 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.629 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546679962.632 * [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 1546679962.632 * [misc]taylor: Taking taylor expansion of 0 in k 1546679962.632 * [misc]backup-simplify: Simplify 0 into 0 1546679962.632 * [misc]backup-simplify: Simplify 0 into 0 1546679962.632 * [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))))) 1546679962.632 * [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)) 1546679962.632 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546679962.632 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679962.633 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679962.633 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679962.633 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679962.633 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679962.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.633 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.633 * [misc]taylor: Taking taylor expansion of k in k 1546679962.633 * [misc]backup-simplify: Simplify 0 into 0 1546679962.633 * [misc]backup-simplify: Simplify 1 into 1 1546679962.633 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.633 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679962.633 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679962.633 * [misc]taylor: Taking taylor expansion of -2 in k 1546679962.633 * [misc]backup-simplify: Simplify -2 into -2 1546679962.633 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679962.633 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.633 * [misc]backup-simplify: Simplify PI into PI 1546679962.633 * [misc]taylor: Taking taylor expansion of n in k 1546679962.633 * [misc]backup-simplify: Simplify n into n 1546679962.633 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679962.633 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679962.633 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679962.633 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679962.633 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.633 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679962.634 * [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))) 1546679962.634 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679962.634 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679962.634 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679962.634 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679962.634 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.634 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.634 * [misc]taylor: Taking taylor expansion of k in n 1546679962.634 * [misc]backup-simplify: Simplify k into k 1546679962.634 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.634 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.634 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679962.634 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679962.634 * [misc]taylor: Taking taylor expansion of -2 in n 1546679962.634 * [misc]backup-simplify: Simplify -2 into -2 1546679962.634 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.634 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.634 * [misc]backup-simplify: Simplify PI into PI 1546679962.634 * [misc]taylor: Taking taylor expansion of n in n 1546679962.634 * [misc]backup-simplify: Simplify 0 into 0 1546679962.634 * [misc]backup-simplify: Simplify 1 into 1 1546679962.634 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.634 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679962.635 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679962.635 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.635 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679962.635 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.636 * [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))) 1546679962.636 * [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)))) 1546679962.636 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679962.636 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679962.636 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679962.636 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679962.636 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.636 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.636 * [misc]taylor: Taking taylor expansion of k in n 1546679962.636 * [misc]backup-simplify: Simplify k into k 1546679962.636 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.636 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.636 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679962.636 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679962.636 * [misc]taylor: Taking taylor expansion of -2 in n 1546679962.636 * [misc]backup-simplify: Simplify -2 into -2 1546679962.636 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.636 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.636 * [misc]backup-simplify: Simplify PI into PI 1546679962.636 * [misc]taylor: Taking taylor expansion of n in n 1546679962.636 * [misc]backup-simplify: Simplify 0 into 0 1546679962.636 * [misc]backup-simplify: Simplify 1 into 1 1546679962.637 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.637 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679962.637 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679962.637 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.637 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679962.638 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.638 * [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))) 1546679962.638 * [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)))) 1546679962.638 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546679962.638 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546679962.638 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679962.638 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679962.638 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.639 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.639 * [misc]taylor: Taking taylor expansion of k in k 1546679962.639 * [misc]backup-simplify: Simplify 0 into 0 1546679962.639 * [misc]backup-simplify: Simplify 1 into 1 1546679962.639 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.639 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.639 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546679962.639 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546679962.639 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546679962.639 * [misc]taylor: Taking taylor expansion of -2 in k 1546679962.639 * [misc]backup-simplify: Simplify -2 into -2 1546679962.639 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.639 * [misc]backup-simplify: Simplify PI into PI 1546679962.639 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679962.639 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679962.639 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679962.639 * [misc]taylor: Taking taylor expansion of n in k 1546679962.639 * [misc]backup-simplify: Simplify n into n 1546679962.639 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679962.640 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679962.640 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.640 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679962.640 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546679962.640 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546679962.641 * [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)))) 1546679962.641 * [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)))) 1546679962.642 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679962.642 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679962.644 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546679962.644 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679962.644 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679962.644 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.645 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.645 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546679962.646 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679962.646 * [misc]taylor: Taking taylor expansion of 0 in k 1546679962.646 * [misc]backup-simplify: Simplify 0 into 0 1546679962.646 * [misc]backup-simplify: Simplify 0 into 0 1546679962.646 * [misc]backup-simplify: Simplify 0 into 0 1546679962.647 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.648 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679962.651 * [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 1546679962.651 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679962.651 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679962.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.651 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.652 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546679962.653 * [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 1546679962.653 * [misc]taylor: Taking taylor expansion of 0 in k 1546679962.653 * [misc]backup-simplify: Simplify 0 into 0 1546679962.654 * [misc]backup-simplify: Simplify 0 into 0 1546679962.654 * [misc]backup-simplify: Simplify 0 into 0 1546679962.654 * [misc]backup-simplify: Simplify 0 into 0 1546679962.655 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.656 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679962.661 * [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 1546679962.661 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679962.661 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546679962.661 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.662 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.662 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546679962.664 * [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 1546679962.664 * [misc]taylor: Taking taylor expansion of 0 in k 1546679962.664 * [misc]backup-simplify: Simplify 0 into 0 1546679962.664 * [misc]backup-simplify: Simplify 0 into 0 1546679962.665 * [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))))) 1546679962.665 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1546679962.665 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546679962.665 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546679962.665 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.665 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.665 * [misc]backup-simplify: Simplify 2 into 2 1546679962.665 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.665 * [misc]taylor: Taking taylor expansion of n in n 1546679962.665 * [misc]backup-simplify: Simplify 0 into 0 1546679962.665 * [misc]backup-simplify: Simplify 1 into 1 1546679962.665 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.665 * [misc]backup-simplify: Simplify PI into PI 1546679962.665 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.665 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.665 * [misc]backup-simplify: Simplify 2 into 2 1546679962.665 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.665 * [misc]taylor: Taking taylor expansion of n in n 1546679962.665 * [misc]backup-simplify: Simplify 0 into 0 1546679962.665 * [misc]backup-simplify: Simplify 1 into 1 1546679962.665 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.665 * [misc]backup-simplify: Simplify PI into PI 1546679962.666 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.666 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679962.666 * [misc]backup-simplify: Simplify 0 into 0 1546679962.666 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.667 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679962.667 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.667 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679962.668 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679962.668 * [misc]backup-simplify: Simplify 0 into 0 1546679962.669 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679962.670 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546679962.670 * [misc]backup-simplify: Simplify 0 into 0 1546679962.671 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679962.672 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546679962.672 * [misc]backup-simplify: Simplify 0 into 0 1546679962.674 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546679962.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546679962.676 * [misc]backup-simplify: Simplify 0 into 0 1546679962.679 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546679962.683 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546679962.683 * [misc]backup-simplify: Simplify 0 into 0 1546679962.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546679962.691 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546679962.691 * [misc]backup-simplify: Simplify 0 into 0 1546679962.691 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546679962.692 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546679962.692 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546679962.692 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679962.692 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.692 * [misc]backup-simplify: Simplify 2 into 2 1546679962.692 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.692 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.692 * [misc]backup-simplify: Simplify PI into PI 1546679962.692 * [misc]taylor: Taking taylor expansion of n in n 1546679962.692 * [misc]backup-simplify: Simplify 0 into 0 1546679962.692 * [misc]backup-simplify: Simplify 1 into 1 1546679962.692 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.692 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679962.692 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.692 * [misc]backup-simplify: Simplify 2 into 2 1546679962.692 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.692 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.692 * [misc]backup-simplify: Simplify PI into PI 1546679962.692 * [misc]taylor: Taking taylor expansion of n in n 1546679962.692 * [misc]backup-simplify: Simplify 0 into 0 1546679962.693 * [misc]backup-simplify: Simplify 1 into 1 1546679962.693 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.693 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.693 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.694 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679962.695 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679962.695 * [misc]backup-simplify: Simplify 0 into 0 1546679962.696 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.698 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679962.698 * [misc]backup-simplify: Simplify 0 into 0 1546679962.699 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679962.701 * [misc]backup-simplify: Simplify 0 into 0 1546679962.703 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.705 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679962.705 * [misc]backup-simplify: Simplify 0 into 0 1546679962.707 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.710 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546679962.711 * [misc]backup-simplify: Simplify 0 into 0 1546679962.713 * [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 1546679962.717 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546679962.717 * [misc]backup-simplify: Simplify 0 into 0 1546679962.717 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546679962.717 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546679962.717 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546679962.717 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679962.717 * [misc]taylor: Taking taylor expansion of -2 in n 1546679962.717 * [misc]backup-simplify: Simplify -2 into -2 1546679962.717 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.717 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.718 * [misc]backup-simplify: Simplify PI into PI 1546679962.718 * [misc]taylor: Taking taylor expansion of n in n 1546679962.718 * [misc]backup-simplify: Simplify 0 into 0 1546679962.718 * [misc]backup-simplify: Simplify 1 into 1 1546679962.718 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.718 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679962.718 * [misc]taylor: Taking taylor expansion of -2 in n 1546679962.718 * [misc]backup-simplify: Simplify -2 into -2 1546679962.718 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.718 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.718 * [misc]backup-simplify: Simplify PI into PI 1546679962.718 * [misc]taylor: Taking taylor expansion of n in n 1546679962.718 * [misc]backup-simplify: Simplify 0 into 0 1546679962.718 * [misc]backup-simplify: Simplify 1 into 1 1546679962.719 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.719 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679962.719 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679962.720 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679962.721 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679962.721 * [misc]backup-simplify: Simplify 0 into 0 1546679962.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.724 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679962.724 * [misc]backup-simplify: Simplify 0 into 0 1546679962.725 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.727 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679962.727 * [misc]backup-simplify: Simplify 0 into 0 1546679962.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.731 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679962.731 * [misc]backup-simplify: Simplify 0 into 0 1546679962.733 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.736 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546679962.736 * [misc]backup-simplify: Simplify 0 into 0 1546679962.739 * [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 1546679962.741 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546679962.741 * [misc]backup-simplify: Simplify 0 into 0 1546679962.741 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546679962.741 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546679962.742 * [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)) 1546679962.742 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546679962.742 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.742 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.742 * [misc]taylor: Taking taylor expansion of k in n 1546679962.742 * [misc]backup-simplify: Simplify k into k 1546679962.742 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.742 * [misc]backup-simplify: Simplify 2 into 2 1546679962.742 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.742 * [misc]taylor: Taking taylor expansion of n in n 1546679962.742 * [misc]backup-simplify: Simplify 0 into 0 1546679962.742 * [misc]backup-simplify: Simplify 1 into 1 1546679962.742 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.743 * [misc]backup-simplify: Simplify PI into PI 1546679962.743 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.743 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679962.744 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.744 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679962.744 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.744 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679962.744 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679962.745 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679962.745 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.745 * [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)))) 1546679962.746 * [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))))) 1546679962.746 * [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)))))) 1546679962.746 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546679962.746 * [misc]taylor: Taking taylor expansion of k in n 1546679962.746 * [misc]backup-simplify: Simplify k into k 1546679962.746 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546679962.746 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546679962.746 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546679962.746 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546679962.746 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679962.746 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679962.746 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679962.746 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679962.746 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.746 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679962.746 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.747 * [misc]taylor: Taking taylor expansion of k in k 1546679962.747 * [misc]backup-simplify: Simplify 0 into 0 1546679962.747 * [misc]backup-simplify: Simplify 1 into 1 1546679962.747 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679962.747 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679962.747 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.747 * [misc]backup-simplify: Simplify 2 into 2 1546679962.747 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679962.747 * [misc]taylor: Taking taylor expansion of n in k 1546679962.747 * [misc]backup-simplify: Simplify n into n 1546679962.747 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.747 * [misc]backup-simplify: Simplify PI into PI 1546679962.747 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679962.747 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679962.747 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679962.747 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679962.747 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.747 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.747 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679962.747 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679962.747 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546679962.747 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679962.747 * [misc]taylor: Taking taylor expansion of k in k 1546679962.747 * [misc]backup-simplify: Simplify 0 into 0 1546679962.747 * [misc]backup-simplify: Simplify 1 into 1 1546679962.748 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.748 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679962.748 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.748 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.748 * [misc]taylor: Taking taylor expansion of k in k 1546679962.748 * [misc]backup-simplify: Simplify 0 into 0 1546679962.748 * [misc]backup-simplify: Simplify 1 into 1 1546679962.748 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.748 * [misc]backup-simplify: Simplify 2 into 2 1546679962.748 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679962.748 * [misc]taylor: Taking taylor expansion of n in k 1546679962.748 * [misc]backup-simplify: Simplify n into n 1546679962.748 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.748 * [misc]backup-simplify: Simplify PI into PI 1546679962.748 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679962.748 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679962.748 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679962.749 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679962.749 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.749 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.749 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679962.749 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679962.749 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546679962.749 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679962.749 * [misc]taylor: Taking taylor expansion of k in k 1546679962.749 * [misc]backup-simplify: Simplify 0 into 0 1546679962.749 * [misc]backup-simplify: Simplify 1 into 1 1546679962.749 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.749 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679962.750 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1546679962.750 * [misc]taylor: Taking taylor expansion of 0 in n 1546679962.750 * [misc]backup-simplify: Simplify 0 into 0 1546679962.750 * [misc]backup-simplify: Simplify 0 into 0 1546679962.750 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546679962.750 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546679962.751 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546679962.751 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679962.751 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679962.751 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679962.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546679962.751 * [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))))) 1546679962.752 * [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))))) 1546679962.752 * [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)))) 1546679962.752 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546679962.752 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546679962.753 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.753 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.753 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546679962.753 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546679962.753 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546679962.753 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.753 * [misc]taylor: Taking taylor expansion of n in n 1546679962.753 * [misc]backup-simplify: Simplify 0 into 0 1546679962.753 * [misc]backup-simplify: Simplify 1 into 1 1546679962.753 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.753 * [misc]backup-simplify: Simplify PI into PI 1546679962.753 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.753 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.753 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546679962.754 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.754 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546679962.754 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546679962.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.754 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546679962.754 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546679962.755 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546679962.755 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546679962.757 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546679962.757 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546679962.758 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546679962.758 * [misc]backup-simplify: Simplify 0 into 0 1546679962.759 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679962.760 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546679962.760 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546679962.761 * [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 1546679962.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679962.761 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546679962.762 * [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))) 1546679962.764 * [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)))))) 1546679962.766 * [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)))))) 1546679962.766 * [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 1546679962.766 * [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 1546679962.766 * [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 1546679962.766 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.766 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.766 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1546679962.766 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1546679962.766 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679962.766 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.766 * [misc]backup-simplify: Simplify 2 into 2 1546679962.766 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679962.766 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679962.766 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1546679962.766 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679962.766 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.766 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.766 * [misc]backup-simplify: Simplify 2 into 2 1546679962.766 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.766 * [misc]taylor: Taking taylor expansion of n in n 1546679962.766 * [misc]backup-simplify: Simplify 0 into 0 1546679962.766 * [misc]backup-simplify: Simplify 1 into 1 1546679962.766 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.766 * [misc]backup-simplify: Simplify PI into PI 1546679962.767 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.767 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679962.767 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.768 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679962.768 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.768 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546679962.768 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546679962.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.769 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546679962.769 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546679962.769 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546679962.769 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546679962.769 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.769 * [misc]taylor: Taking taylor expansion of n in n 1546679962.769 * [misc]backup-simplify: Simplify 0 into 0 1546679962.769 * [misc]backup-simplify: Simplify 1 into 1 1546679962.769 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.769 * [misc]backup-simplify: Simplify PI into PI 1546679962.769 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.770 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.770 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546679962.770 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.771 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546679962.771 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546679962.771 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546679962.771 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.771 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.771 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546679962.771 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546679962.771 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546679962.771 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.771 * [misc]taylor: Taking taylor expansion of n in n 1546679962.772 * [misc]backup-simplify: Simplify 0 into 0 1546679962.772 * [misc]backup-simplify: Simplify 1 into 1 1546679962.772 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.772 * [misc]backup-simplify: Simplify PI into PI 1546679962.772 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.772 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.773 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546679962.773 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.774 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546679962.774 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546679962.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.774 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546679962.774 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546679962.775 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.775 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546679962.776 * [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)))) 1546679962.777 * [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))))) 1546679962.778 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.778 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546679962.779 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679962.780 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679962.783 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679962.784 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546679962.785 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1546679962.787 * [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))))) 1546679962.788 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1546679962.793 * [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))))) 1546679962.794 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546679962.795 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546679962.796 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546679962.797 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546679962.800 * [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))))))) 1546679962.804 * [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))))))) 1546679962.808 * [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))))))) 1546679962.809 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546679962.810 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679962.811 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1546679962.812 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1546679962.813 * [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)))) 1546679962.816 * [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)))) 1546679962.817 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546679962.817 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546679962.824 * [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))))))))))) 1546679962.824 * [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))) 1546679962.824 * [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 1546679962.824 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546679962.824 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679962.824 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679962.824 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679962.824 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679962.825 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679962.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.825 * [misc]taylor: Taking taylor expansion of k in n 1546679962.825 * [misc]backup-simplify: Simplify k into k 1546679962.825 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.825 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679962.825 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679962.825 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.825 * [misc]backup-simplify: Simplify 2 into 2 1546679962.825 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.825 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.825 * [misc]backup-simplify: Simplify PI into PI 1546679962.825 * [misc]taylor: Taking taylor expansion of n in n 1546679962.825 * [misc]backup-simplify: Simplify 0 into 0 1546679962.825 * [misc]backup-simplify: Simplify 1 into 1 1546679962.826 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.826 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.826 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.826 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.827 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679962.827 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679962.827 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.828 * [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))) 1546679962.829 * [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)))) 1546679962.829 * [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))))) 1546679962.829 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546679962.829 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.830 * [misc]taylor: Taking taylor expansion of k in n 1546679962.830 * [misc]backup-simplify: Simplify k into k 1546679962.830 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.830 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546679962.830 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679962.830 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546679962.830 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546679962.830 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546679962.830 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679962.830 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679962.830 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679962.830 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679962.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.830 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679962.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.830 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.830 * [misc]taylor: Taking taylor expansion of k in k 1546679962.830 * [misc]backup-simplify: Simplify 0 into 0 1546679962.830 * [misc]backup-simplify: Simplify 1 into 1 1546679962.831 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.831 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679962.831 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679962.831 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.831 * [misc]backup-simplify: Simplify 2 into 2 1546679962.831 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679962.831 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.831 * [misc]backup-simplify: Simplify PI into PI 1546679962.831 * [misc]taylor: Taking taylor expansion of n in k 1546679962.831 * [misc]backup-simplify: Simplify n into n 1546679962.831 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679962.831 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679962.831 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679962.831 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679962.831 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679962.832 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679962.832 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679962.832 * [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)))) 1546679962.832 * [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))))) 1546679962.832 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679962.832 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.832 * [misc]taylor: Taking taylor expansion of k in k 1546679962.832 * [misc]backup-simplify: Simplify 0 into 0 1546679962.832 * [misc]backup-simplify: Simplify 1 into 1 1546679962.832 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.833 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.833 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679962.833 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546679962.833 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546679962.833 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679962.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679962.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679962.833 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679962.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.833 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679962.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.834 * [misc]taylor: Taking taylor expansion of k in k 1546679962.834 * [misc]backup-simplify: Simplify 0 into 0 1546679962.834 * [misc]backup-simplify: Simplify 1 into 1 1546679962.834 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.834 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679962.834 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679962.834 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.834 * [misc]backup-simplify: Simplify 2 into 2 1546679962.834 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679962.834 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.834 * [misc]backup-simplify: Simplify PI into PI 1546679962.834 * [misc]taylor: Taking taylor expansion of n in k 1546679962.834 * [misc]backup-simplify: Simplify n into n 1546679962.834 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679962.834 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679962.834 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679962.834 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679962.835 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679962.835 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679962.835 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679962.835 * [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)))) 1546679962.835 * [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))))) 1546679962.835 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679962.835 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.835 * [misc]taylor: Taking taylor expansion of k in k 1546679962.835 * [misc]backup-simplify: Simplify 0 into 0 1546679962.835 * [misc]backup-simplify: Simplify 1 into 1 1546679962.835 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.836 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.836 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679962.836 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546679962.836 * [misc]taylor: Taking taylor expansion of 0 in n 1546679962.836 * [misc]backup-simplify: Simplify 0 into 0 1546679962.836 * [misc]backup-simplify: Simplify 0 into 0 1546679962.836 * [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 1546679962.837 * [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))))))) 1546679962.837 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.837 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.837 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.837 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of k in n 1546679962.837 * [misc]backup-simplify: Simplify k into k 1546679962.837 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.837 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.837 * [misc]backup-simplify: Simplify 2 into 2 1546679962.837 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.837 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.837 * [misc]backup-simplify: Simplify PI into PI 1546679962.837 * [misc]taylor: Taking taylor expansion of n in n 1546679962.837 * [misc]backup-simplify: Simplify 0 into 0 1546679962.837 * [misc]backup-simplify: Simplify 1 into 1 1546679962.837 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.837 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.838 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.838 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.838 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679962.838 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679962.838 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.839 * [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))) 1546679962.839 * [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)))) 1546679962.840 * [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))))) 1546679962.840 * [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))))) 1546679962.841 * [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))))))) 1546679962.841 * [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))))))) 1546679962.841 * [misc]backup-simplify: Simplify 0 into 0 1546679962.841 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546679962.842 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679962.842 * [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 1546679962.843 * [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))))))) 1546679962.843 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.843 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.843 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.843 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.843 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of k in n 1546679962.843 * [misc]backup-simplify: Simplify k into k 1546679962.843 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.843 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.843 * [misc]backup-simplify: Simplify 2 into 2 1546679962.843 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.843 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.843 * [misc]backup-simplify: Simplify PI into PI 1546679962.843 * [misc]taylor: Taking taylor expansion of n in n 1546679962.843 * [misc]backup-simplify: Simplify 0 into 0 1546679962.843 * [misc]backup-simplify: Simplify 1 into 1 1546679962.843 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.844 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.844 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.844 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.844 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679962.844 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679962.844 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.845 * [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))) 1546679962.845 * [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)))) 1546679962.846 * [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))))) 1546679962.847 * [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))))) 1546679962.847 * [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))))))) 1546679962.848 * [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))))))) 1546679962.848 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679962.849 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679962.850 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679962.850 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679962.851 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679962.851 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.851 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.852 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546679962.853 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679962.853 * [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 1546679962.854 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546679962.854 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.854 * [misc]backup-simplify: Simplify 0 into 0 1546679962.854 * [misc]backup-simplify: Simplify 0 into 0 1546679962.854 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.855 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679962.856 * [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 1546679962.856 * [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))))))) 1546679962.856 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.856 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.856 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.856 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.856 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of k in n 1546679962.856 * [misc]backup-simplify: Simplify k into k 1546679962.856 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.856 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.856 * [misc]backup-simplify: Simplify 2 into 2 1546679962.856 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.856 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.856 * [misc]backup-simplify: Simplify PI into PI 1546679962.856 * [misc]taylor: Taking taylor expansion of n in n 1546679962.856 * [misc]backup-simplify: Simplify 0 into 0 1546679962.856 * [misc]backup-simplify: Simplify 1 into 1 1546679962.857 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.857 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.857 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.857 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.857 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679962.857 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679962.858 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.858 * [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))) 1546679962.858 * [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)))) 1546679962.859 * [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))))) 1546679962.860 * [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))))) 1546679962.861 * [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))))))) 1546679962.861 * [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))))))) 1546679962.863 * [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)))))))))))) 1546679962.864 * [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))) 1546679962.864 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546679962.864 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679962.864 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546679962.864 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546679962.864 * [misc]taylor: Taking taylor expansion of -1 in n 1546679962.864 * [misc]backup-simplify: Simplify -1 into -1 1546679962.864 * [misc]taylor: Taking taylor expansion of k in n 1546679962.864 * [misc]backup-simplify: Simplify k into k 1546679962.864 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546679962.864 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546679962.864 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546679962.864 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546679962.864 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679962.864 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679962.864 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679962.864 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679962.864 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.864 * [misc]taylor: Taking taylor expansion of k in n 1546679962.865 * [misc]backup-simplify: Simplify k into k 1546679962.865 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.865 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679962.865 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679962.865 * [misc]taylor: Taking taylor expansion of -2 in n 1546679962.865 * [misc]backup-simplify: Simplify -2 into -2 1546679962.865 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.865 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.865 * [misc]backup-simplify: Simplify PI into PI 1546679962.865 * [misc]taylor: Taking taylor expansion of n in n 1546679962.865 * [misc]backup-simplify: Simplify 0 into 0 1546679962.865 * [misc]backup-simplify: Simplify 1 into 1 1546679962.865 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.866 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679962.866 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679962.866 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.866 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679962.867 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.868 * [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))) 1546679962.868 * [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)))) 1546679962.869 * [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))))) 1546679962.869 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546679962.869 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679962.869 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679962.869 * [misc]taylor: Taking taylor expansion of -1 in k 1546679962.869 * [misc]backup-simplify: Simplify -1 into -1 1546679962.869 * [misc]taylor: Taking taylor expansion of k in k 1546679962.869 * [misc]backup-simplify: Simplify 0 into 0 1546679962.869 * [misc]backup-simplify: Simplify 1 into 1 1546679962.869 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679962.870 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.870 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679962.870 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679962.870 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679962.870 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679962.870 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679962.870 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679962.870 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.870 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.870 * [misc]taylor: Taking taylor expansion of k in k 1546679962.870 * [misc]backup-simplify: Simplify 0 into 0 1546679962.871 * [misc]backup-simplify: Simplify 1 into 1 1546679962.871 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.871 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.871 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679962.871 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679962.871 * [misc]taylor: Taking taylor expansion of -2 in k 1546679962.871 * [misc]backup-simplify: Simplify -2 into -2 1546679962.871 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679962.871 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.871 * [misc]backup-simplify: Simplify PI into PI 1546679962.871 * [misc]taylor: Taking taylor expansion of n in k 1546679962.871 * [misc]backup-simplify: Simplify n into n 1546679962.871 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679962.871 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679962.871 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679962.871 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679962.872 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.872 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679962.872 * [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))) 1546679962.872 * [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)))) 1546679962.872 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546679962.872 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679962.872 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679962.872 * [misc]taylor: Taking taylor expansion of -1 in k 1546679962.872 * [misc]backup-simplify: Simplify -1 into -1 1546679962.872 * [misc]taylor: Taking taylor expansion of k in k 1546679962.872 * [misc]backup-simplify: Simplify 0 into 0 1546679962.872 * [misc]backup-simplify: Simplify 1 into 1 1546679962.872 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679962.872 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.873 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679962.873 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679962.873 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679962.873 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679962.873 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679962.873 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679962.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.873 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.873 * [misc]taylor: Taking taylor expansion of k in k 1546679962.873 * [misc]backup-simplify: Simplify 0 into 0 1546679962.873 * [misc]backup-simplify: Simplify 1 into 1 1546679962.873 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.873 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679962.873 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679962.873 * [misc]taylor: Taking taylor expansion of -2 in k 1546679962.873 * [misc]backup-simplify: Simplify -2 into -2 1546679962.873 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679962.873 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.873 * [misc]backup-simplify: Simplify PI into PI 1546679962.873 * [misc]taylor: Taking taylor expansion of n in k 1546679962.873 * [misc]backup-simplify: Simplify n into n 1546679962.873 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679962.873 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679962.873 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679962.873 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679962.873 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.873 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679962.874 * [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))) 1546679962.874 * [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)))) 1546679962.874 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679962.874 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.874 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.874 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679962.874 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679962.874 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679962.874 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679962.874 * [misc]taylor: Taking taylor expansion of -2 in n 1546679962.874 * [misc]backup-simplify: Simplify -2 into -2 1546679962.874 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.874 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.874 * [misc]backup-simplify: Simplify PI into PI 1546679962.874 * [misc]taylor: Taking taylor expansion of n in n 1546679962.874 * [misc]backup-simplify: Simplify 0 into 0 1546679962.874 * [misc]backup-simplify: Simplify 1 into 1 1546679962.874 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.874 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679962.875 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679962.875 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679962.875 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.875 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.875 * [misc]taylor: Taking taylor expansion of k in n 1546679962.875 * [misc]backup-simplify: Simplify k into k 1546679962.875 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.875 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.875 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679962.876 * [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))) 1546679962.876 * [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)))) 1546679962.877 * [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))))) 1546679962.877 * [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))))) 1546679962.877 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546679962.878 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679962.878 * [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)))))) 1546679962.878 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546679962.878 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546679962.878 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.878 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.879 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679962.879 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679962.879 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679962.879 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679962.879 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679962.879 * [misc]taylor: Taking taylor expansion of -2 in n 1546679962.879 * [misc]backup-simplify: Simplify -2 into -2 1546679962.879 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.879 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.879 * [misc]backup-simplify: Simplify PI into PI 1546679962.879 * [misc]taylor: Taking taylor expansion of n in n 1546679962.879 * [misc]backup-simplify: Simplify 0 into 0 1546679962.879 * [misc]backup-simplify: Simplify 1 into 1 1546679962.879 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.879 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679962.880 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679962.880 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679962.880 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.880 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.880 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.880 * [misc]taylor: Taking taylor expansion of k in n 1546679962.880 * [misc]backup-simplify: Simplify k into k 1546679962.880 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.880 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.880 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.880 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.880 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679962.881 * [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))) 1546679962.881 * [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)))) 1546679962.881 * [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))))) 1546679962.882 * [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))))) 1546679962.882 * [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))))))) 1546679962.883 * [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))))))) 1546679962.883 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.883 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679962.883 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679962.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.884 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679962.885 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679962.886 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546679962.887 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546679962.888 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679962.889 * [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 1546679962.889 * [misc]backup-simplify: Simplify 0 into 0 1546679962.889 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.890 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679962.891 * [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)))))) 1546679962.891 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546679962.891 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546679962.891 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.891 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.891 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679962.891 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679962.891 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679962.891 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679962.891 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679962.891 * [misc]taylor: Taking taylor expansion of -2 in n 1546679962.891 * [misc]backup-simplify: Simplify -2 into -2 1546679962.891 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.891 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.891 * [misc]backup-simplify: Simplify PI into PI 1546679962.891 * [misc]taylor: Taking taylor expansion of n in n 1546679962.891 * [misc]backup-simplify: Simplify 0 into 0 1546679962.891 * [misc]backup-simplify: Simplify 1 into 1 1546679962.891 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.891 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679962.892 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679962.892 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679962.892 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.892 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.892 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.892 * [misc]taylor: Taking taylor expansion of k in n 1546679962.892 * [misc]backup-simplify: Simplify k into k 1546679962.892 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.892 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.892 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679962.892 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.892 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679962.893 * [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))) 1546679962.893 * [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)))) 1546679962.893 * [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))))) 1546679962.894 * [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))))) 1546679962.894 * [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))))))) 1546679962.895 * [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))))))) 1546679962.896 * [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)))))))))))) 1546679962.897 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546679962.897 * [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)))) 1546679962.897 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1546679962.897 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of k in n 1546679962.897 * [misc]backup-simplify: Simplify k into k 1546679962.897 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.897 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546679962.897 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679962.897 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546679962.897 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.897 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.897 * [misc]taylor: Taking taylor expansion of k in n 1546679962.897 * [misc]backup-simplify: Simplify k into k 1546679962.897 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.897 * [misc]backup-simplify: Simplify 2 into 2 1546679962.897 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.897 * [misc]taylor: Taking taylor expansion of n in n 1546679962.897 * [misc]backup-simplify: Simplify 0 into 0 1546679962.897 * [misc]backup-simplify: Simplify 1 into 1 1546679962.897 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.897 * [misc]backup-simplify: Simplify PI into PI 1546679962.898 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.898 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679962.898 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.899 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679962.899 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.899 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679962.899 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679962.899 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679962.900 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.900 * [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)))) 1546679962.901 * [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))))) 1546679962.901 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546679962.901 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679962.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.901 * [misc]taylor: Taking taylor expansion of k in k 1546679962.901 * [misc]backup-simplify: Simplify 0 into 0 1546679962.901 * [misc]backup-simplify: Simplify 1 into 1 1546679962.901 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.901 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.902 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679962.902 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679962.902 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679962.902 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679962.902 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679962.902 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.902 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.902 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679962.902 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.902 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.902 * [misc]taylor: Taking taylor expansion of k in k 1546679962.902 * [misc]backup-simplify: Simplify 0 into 0 1546679962.902 * [misc]backup-simplify: Simplify 1 into 1 1546679962.902 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679962.902 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679962.902 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.902 * [misc]backup-simplify: Simplify 2 into 2 1546679962.902 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679962.902 * [misc]taylor: Taking taylor expansion of n in k 1546679962.902 * [misc]backup-simplify: Simplify n into n 1546679962.902 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.902 * [misc]backup-simplify: Simplify PI into PI 1546679962.903 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679962.903 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679962.903 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679962.903 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679962.903 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.903 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.903 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679962.903 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679962.903 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546679962.904 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679962.904 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679962.904 * [misc]taylor: Taking taylor expansion of k in k 1546679962.904 * [misc]backup-simplify: Simplify 0 into 0 1546679962.904 * [misc]backup-simplify: Simplify 1 into 1 1546679962.904 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679962.904 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.904 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679962.904 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679962.904 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679962.905 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679962.905 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679962.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.905 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679962.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679962.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.905 * [misc]taylor: Taking taylor expansion of k in k 1546679962.905 * [misc]backup-simplify: Simplify 0 into 0 1546679962.905 * [misc]backup-simplify: Simplify 1 into 1 1546679962.905 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679962.905 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679962.905 * [misc]taylor: Taking taylor expansion of 2 in k 1546679962.905 * [misc]backup-simplify: Simplify 2 into 2 1546679962.905 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679962.905 * [misc]taylor: Taking taylor expansion of n in k 1546679962.905 * [misc]backup-simplify: Simplify n into n 1546679962.905 * [misc]taylor: Taking taylor expansion of PI in k 1546679962.905 * [misc]backup-simplify: Simplify PI into PI 1546679962.905 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679962.905 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679962.905 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679962.905 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679962.906 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.906 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679962.906 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679962.906 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679962.906 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1546679962.906 * [misc]taylor: Taking taylor expansion of 0 in n 1546679962.906 * [misc]backup-simplify: Simplify 0 into 0 1546679962.906 * [misc]backup-simplify: Simplify 0 into 0 1546679962.907 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546679962.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546679962.908 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546679962.908 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679962.908 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679962.908 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679962.908 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546679962.909 * [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))))) 1546679962.910 * [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))))) 1546679962.910 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546679962.910 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546679962.910 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.910 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.910 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546679962.910 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679962.910 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.910 * [misc]backup-simplify: Simplify 2 into 2 1546679962.910 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679962.910 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679962.910 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679962.910 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.910 * [misc]taylor: Taking taylor expansion of n in n 1546679962.910 * [misc]backup-simplify: Simplify 0 into 0 1546679962.910 * [misc]backup-simplify: Simplify 1 into 1 1546679962.910 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.910 * [misc]backup-simplify: Simplify PI into PI 1546679962.911 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.911 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.912 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.912 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679962.912 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546679962.912 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679962.913 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.913 * [misc]backup-simplify: Simplify 0 into 0 1546679962.913 * [misc]backup-simplify: Simplify 0 into 0 1546679962.913 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546679962.914 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546679962.915 * [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 1546679962.916 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679962.916 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.916 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546679962.917 * [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))) 1546679962.918 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546679962.919 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679962.919 * [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))))))) 1546679962.920 * [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 1546679962.920 * [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 1546679962.920 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546679962.920 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.920 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.920 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546679962.920 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546679962.920 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679962.920 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.920 * [misc]backup-simplify: Simplify 2 into 2 1546679962.920 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679962.920 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679962.920 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679962.920 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.920 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.920 * [misc]backup-simplify: Simplify 2 into 2 1546679962.920 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.920 * [misc]taylor: Taking taylor expansion of n in n 1546679962.921 * [misc]backup-simplify: Simplify 0 into 0 1546679962.921 * [misc]backup-simplify: Simplify 1 into 1 1546679962.921 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.921 * [misc]backup-simplify: Simplify PI into PI 1546679962.921 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.921 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679962.922 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.922 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679962.923 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.923 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679962.923 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.923 * [misc]taylor: Taking taylor expansion of n in n 1546679962.923 * [misc]backup-simplify: Simplify 0 into 0 1546679962.923 * [misc]backup-simplify: Simplify 1 into 1 1546679962.923 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.923 * [misc]backup-simplify: Simplify PI into PI 1546679962.923 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.924 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.924 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.924 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679962.924 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546679962.925 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546679962.925 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.925 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.925 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546679962.925 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679962.925 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.925 * [misc]backup-simplify: Simplify 2 into 2 1546679962.925 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679962.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679962.925 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679962.925 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.925 * [misc]taylor: Taking taylor expansion of n in n 1546679962.925 * [misc]backup-simplify: Simplify 0 into 0 1546679962.925 * [misc]backup-simplify: Simplify 1 into 1 1546679962.925 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.925 * [misc]backup-simplify: Simplify PI into PI 1546679962.926 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.926 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.927 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679962.927 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.928 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546679962.929 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546679962.929 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679962.929 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546679962.929 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679962.930 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.930 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.930 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.930 * [misc]backup-simplify: Simplify 0 into 0 1546679962.931 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679962.933 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679962.935 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679962.935 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679962.936 * [misc]backup-simplify: Simplify 0 into 0 1546679962.937 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679962.937 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1546679962.940 * [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 1546679962.940 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546679962.941 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.941 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.941 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1546679962.943 * [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))) 1546679962.944 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679962.945 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679962.946 * [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))))))))) 1546679962.946 * [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 1546679962.946 * [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 1546679962.946 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546679962.946 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.946 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.946 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546679962.947 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546679962.947 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679962.947 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.947 * [misc]backup-simplify: Simplify 2 into 2 1546679962.947 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679962.947 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679962.947 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679962.947 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.947 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.947 * [misc]backup-simplify: Simplify 2 into 2 1546679962.947 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.947 * [misc]taylor: Taking taylor expansion of n in n 1546679962.947 * [misc]backup-simplify: Simplify 0 into 0 1546679962.947 * [misc]backup-simplify: Simplify 1 into 1 1546679962.947 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.947 * [misc]backup-simplify: Simplify PI into PI 1546679962.948 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.948 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679962.948 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.949 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679962.950 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.950 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679962.950 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.950 * [misc]taylor: Taking taylor expansion of n in n 1546679962.950 * [misc]backup-simplify: Simplify 0 into 0 1546679962.950 * [misc]backup-simplify: Simplify 1 into 1 1546679962.950 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.950 * [misc]backup-simplify: Simplify PI into PI 1546679962.950 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.951 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.951 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.952 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679962.952 * [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 1546679962.952 * [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 1546679962.952 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1546679962.952 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.952 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.952 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1546679962.952 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1546679962.952 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679962.952 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.952 * [misc]backup-simplify: Simplify 2 into 2 1546679962.952 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679962.952 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679962.952 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1546679962.952 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679962.952 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679962.952 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.952 * [misc]backup-simplify: Simplify 2 into 2 1546679962.952 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.953 * [misc]taylor: Taking taylor expansion of n in n 1546679962.953 * [misc]backup-simplify: Simplify 0 into 0 1546679962.953 * [misc]backup-simplify: Simplify 1 into 1 1546679962.953 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.953 * [misc]backup-simplify: Simplify PI into PI 1546679962.953 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.953 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679962.954 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.954 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679962.955 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.955 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.956 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679962.956 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.956 * [misc]taylor: Taking taylor expansion of n in n 1546679962.956 * [misc]backup-simplify: Simplify 0 into 0 1546679962.956 * [misc]backup-simplify: Simplify 1 into 1 1546679962.956 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.956 * [misc]backup-simplify: Simplify PI into PI 1546679962.956 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.957 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.957 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.957 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679962.957 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546679962.957 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546679962.957 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679962.957 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679962.957 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546679962.957 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679962.957 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.957 * [misc]backup-simplify: Simplify 2 into 2 1546679962.958 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679962.958 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679962.958 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679962.958 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679962.958 * [misc]taylor: Taking taylor expansion of n in n 1546679962.958 * [misc]backup-simplify: Simplify 0 into 0 1546679962.958 * [misc]backup-simplify: Simplify 1 into 1 1546679962.958 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.958 * [misc]backup-simplify: Simplify PI into PI 1546679962.958 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679962.959 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679962.959 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.960 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679962.961 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.961 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546679962.962 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546679962.962 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679962.963 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.964 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.965 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1546679962.965 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1546679962.966 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1546679962.966 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679962.967 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546679962.967 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679962.967 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.967 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.967 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.967 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679962.967 * [misc]backup-simplify: Simplify (- 0) into 0 1546679962.967 * [misc]backup-simplify: Simplify 0 into 0 1546679962.968 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679962.969 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679962.971 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679962.971 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679962.971 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546679962.972 * [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)))))))) 1546679962.974 * [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)))))))) 1546679962.975 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679962.976 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679962.976 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679962.979 * [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)))))))))) 1546679962.981 * [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))))))) 1546679962.983 * [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))))))) 1546679962.983 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679962.984 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546679962.985 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546679962.987 * [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)))) 1546679962.989 * [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)))) 1546679962.990 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546679962.991 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546679962.996 * [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))))))))))))) 1546679962.996 * [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))))) 1546679962.996 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1546679962.996 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679962.996 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546679962.996 * [misc]taylor: Taking taylor expansion of k in n 1546679962.996 * [misc]backup-simplify: Simplify k into k 1546679962.996 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546679962.996 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546679962.996 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679962.996 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679962.996 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679962.996 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679962.996 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.997 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679962.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679962.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679962.997 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679962.997 * [misc]taylor: Taking taylor expansion of k in n 1546679962.997 * [misc]backup-simplify: Simplify k into k 1546679962.997 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679962.997 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679962.997 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679962.997 * [misc]taylor: Taking taylor expansion of 2 in n 1546679962.997 * [misc]backup-simplify: Simplify 2 into 2 1546679962.997 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679962.997 * [misc]taylor: Taking taylor expansion of PI in n 1546679962.997 * [misc]backup-simplify: Simplify PI into PI 1546679962.997 * [misc]taylor: Taking taylor expansion of n in n 1546679962.997 * [misc]backup-simplify: Simplify 0 into 0 1546679962.997 * [misc]backup-simplify: Simplify 1 into 1 1546679962.997 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679962.997 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679962.998 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679962.998 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679962.998 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679962.998 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679962.998 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679962.999 * [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))) 1546679962.999 * [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)))) 1546679962.999 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546679962.999 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679962.999 * [misc]taylor: Taking taylor expansion of k in k 1546679962.999 * [misc]backup-simplify: Simplify 0 into 0 1546679962.999 * [misc]backup-simplify: Simplify 1 into 1 1546679962.999 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679962.999 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679962.999 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679963.000 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679963.000 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679963.000 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679963.000 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679963.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.000 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679963.000 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679963.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679963.000 * [misc]taylor: Taking taylor expansion of k in k 1546679963.000 * [misc]backup-simplify: Simplify 0 into 0 1546679963.000 * [misc]backup-simplify: Simplify 1 into 1 1546679963.000 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679963.000 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679963.000 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679963.000 * [misc]taylor: Taking taylor expansion of 2 in k 1546679963.000 * [misc]backup-simplify: Simplify 2 into 2 1546679963.000 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679963.000 * [misc]taylor: Taking taylor expansion of PI in k 1546679963.000 * [misc]backup-simplify: Simplify PI into PI 1546679963.000 * [misc]taylor: Taking taylor expansion of n in k 1546679963.000 * [misc]backup-simplify: Simplify n into n 1546679963.000 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679963.000 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679963.000 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679963.000 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679963.000 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679963.001 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679963.001 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679963.001 * [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)))) 1546679963.001 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546679963.001 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679963.001 * [misc]taylor: Taking taylor expansion of k in k 1546679963.001 * [misc]backup-simplify: Simplify 0 into 0 1546679963.001 * [misc]backup-simplify: Simplify 1 into 1 1546679963.001 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679963.001 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679963.001 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679963.001 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679963.001 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679963.001 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679963.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679963.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.001 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679963.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679963.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.001 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679963.001 * [misc]taylor: Taking taylor expansion of k in k 1546679963.001 * [misc]backup-simplify: Simplify 0 into 0 1546679963.001 * [misc]backup-simplify: Simplify 1 into 1 1546679963.002 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679963.002 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679963.002 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679963.002 * [misc]taylor: Taking taylor expansion of 2 in k 1546679963.002 * [misc]backup-simplify: Simplify 2 into 2 1546679963.002 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679963.002 * [misc]taylor: Taking taylor expansion of PI in k 1546679963.002 * [misc]backup-simplify: Simplify PI into PI 1546679963.002 * [misc]taylor: Taking taylor expansion of n in k 1546679963.002 * [misc]backup-simplify: Simplify n into n 1546679963.002 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679963.002 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679963.002 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679963.002 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679963.002 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679963.002 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679963.002 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679963.002 * [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)))) 1546679963.003 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1546679963.003 * [misc]taylor: Taking taylor expansion of 0 in n 1546679963.003 * [misc]backup-simplify: Simplify 0 into 0 1546679963.003 * [misc]backup-simplify: Simplify 0 into 0 1546679963.003 * [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)))))) 1546679963.003 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679963.003 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679963.003 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of k in n 1546679963.003 * [misc]backup-simplify: Simplify k into k 1546679963.003 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679963.003 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679963.003 * [misc]taylor: Taking taylor expansion of 2 in n 1546679963.003 * [misc]backup-simplify: Simplify 2 into 2 1546679963.003 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679963.004 * [misc]taylor: Taking taylor expansion of PI in n 1546679963.004 * [misc]backup-simplify: Simplify PI into PI 1546679963.004 * [misc]taylor: Taking taylor expansion of n in n 1546679963.004 * [misc]backup-simplify: Simplify 0 into 0 1546679963.004 * [misc]backup-simplify: Simplify 1 into 1 1546679963.004 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679963.004 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679963.005 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679963.005 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679963.005 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679963.005 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679963.006 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679963.006 * [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))) 1546679963.007 * [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)))) 1546679963.008 * [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))))) 1546679963.008 * [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)))))) 1546679963.009 * [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)))))) 1546679963.009 * [misc]backup-simplify: Simplify 0 into 0 1546679963.011 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679963.011 * [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)))))) 1546679963.011 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679963.011 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679963.011 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679963.011 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679963.011 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679963.011 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679963.012 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679963.012 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679963.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.012 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679963.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679963.012 * [misc]taylor: Taking taylor expansion of k in n 1546679963.012 * [misc]backup-simplify: Simplify k into k 1546679963.012 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679963.012 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679963.012 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679963.012 * [misc]taylor: Taking taylor expansion of 2 in n 1546679963.012 * [misc]backup-simplify: Simplify 2 into 2 1546679963.012 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679963.012 * [misc]taylor: Taking taylor expansion of PI in n 1546679963.012 * [misc]backup-simplify: Simplify PI into PI 1546679963.012 * [misc]taylor: Taking taylor expansion of n in n 1546679963.012 * [misc]backup-simplify: Simplify 0 into 0 1546679963.012 * [misc]backup-simplify: Simplify 1 into 1 1546679963.012 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679963.013 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679963.013 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679963.013 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679963.013 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679963.013 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679963.014 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679963.015 * [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))) 1546679963.015 * [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)))) 1546679963.016 * [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))))) 1546679963.016 * [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)))))) 1546679963.017 * [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)))))) 1546679963.017 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679963.018 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679963.019 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679963.020 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679963.020 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679963.020 * [misc]backup-simplify: Simplify (- 0) into 0 1546679963.020 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679963.020 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679963.021 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546679963.022 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679963.022 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546679963.022 * [misc]backup-simplify: Simplify (- 0) into 0 1546679963.022 * [misc]backup-simplify: Simplify 0 into 0 1546679963.022 * [misc]backup-simplify: Simplify 0 into 0 1546679963.023 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679963.024 * [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)))))) 1546679963.024 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679963.024 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679963.024 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.024 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.024 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of k in n 1546679963.024 * [misc]backup-simplify: Simplify k into k 1546679963.024 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679963.024 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of 2 in n 1546679963.024 * [misc]backup-simplify: Simplify 2 into 2 1546679963.024 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679963.024 * [misc]taylor: Taking taylor expansion of PI in n 1546679963.024 * [misc]backup-simplify: Simplify PI into PI 1546679963.024 * [misc]taylor: Taking taylor expansion of n in n 1546679963.024 * [misc]backup-simplify: Simplify 0 into 0 1546679963.024 * [misc]backup-simplify: Simplify 1 into 1 1546679963.024 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679963.024 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679963.025 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679963.025 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679963.025 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679963.025 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679963.025 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679963.026 * [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))) 1546679963.026 * [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)))) 1546679963.027 * [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))))) 1546679963.027 * [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)))))) 1546679963.028 * [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)))))) 1546679963.029 * [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)))))))) 1546679963.029 * [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))) 1546679963.029 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546679963.029 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.030 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of k in n 1546679963.030 * [misc]backup-simplify: Simplify k into k 1546679963.030 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679963.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.030 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of -2 in n 1546679963.030 * [misc]backup-simplify: Simplify -2 into -2 1546679963.030 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679963.030 * [misc]taylor: Taking taylor expansion of PI in n 1546679963.030 * [misc]backup-simplify: Simplify PI into PI 1546679963.030 * [misc]taylor: Taking taylor expansion of n in n 1546679963.030 * [misc]backup-simplify: Simplify 0 into 0 1546679963.030 * [misc]backup-simplify: Simplify 1 into 1 1546679963.030 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679963.030 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679963.031 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679963.031 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679963.031 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679963.031 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679963.032 * [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))) 1546679963.032 * [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)))) 1546679963.032 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546679963.032 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546679963.032 * [misc]taylor: Taking taylor expansion of -1 in n 1546679963.032 * [misc]backup-simplify: Simplify -1 into -1 1546679963.032 * [misc]taylor: Taking taylor expansion of k in n 1546679963.032 * [misc]backup-simplify: Simplify k into k 1546679963.032 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546679963.032 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546679963.032 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546679963.032 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546679963.033 * [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))) 1546679963.033 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679963.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.033 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of k in k 1546679963.033 * [misc]backup-simplify: Simplify 0 into 0 1546679963.033 * [misc]backup-simplify: Simplify 1 into 1 1546679963.033 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679963.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679963.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.033 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of -2 in k 1546679963.033 * [misc]backup-simplify: Simplify -2 into -2 1546679963.033 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679963.033 * [misc]taylor: Taking taylor expansion of PI in k 1546679963.033 * [misc]backup-simplify: Simplify PI into PI 1546679963.033 * [misc]taylor: Taking taylor expansion of n in k 1546679963.033 * [misc]backup-simplify: Simplify n into n 1546679963.033 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679963.033 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679963.033 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679963.034 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679963.034 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679963.034 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679963.034 * [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))) 1546679963.034 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679963.034 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679963.034 * [misc]taylor: Taking taylor expansion of -1 in k 1546679963.034 * [misc]backup-simplify: Simplify -1 into -1 1546679963.034 * [misc]taylor: Taking taylor expansion of k in k 1546679963.034 * [misc]backup-simplify: Simplify 0 into 0 1546679963.034 * [misc]backup-simplify: Simplify 1 into 1 1546679963.034 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679963.034 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679963.034 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679963.035 * [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)))) 1546679963.035 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679963.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.035 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of k in k 1546679963.035 * [misc]backup-simplify: Simplify 0 into 0 1546679963.035 * [misc]backup-simplify: Simplify 1 into 1 1546679963.035 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679963.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679963.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.035 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of -2 in k 1546679963.035 * [misc]backup-simplify: Simplify -2 into -2 1546679963.035 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679963.035 * [misc]taylor: Taking taylor expansion of PI in k 1546679963.035 * [misc]backup-simplify: Simplify PI into PI 1546679963.035 * [misc]taylor: Taking taylor expansion of n in k 1546679963.035 * [misc]backup-simplify: Simplify n into n 1546679963.035 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679963.035 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679963.035 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679963.035 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679963.036 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679963.036 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679963.036 * [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))) 1546679963.036 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679963.036 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679963.036 * [misc]taylor: Taking taylor expansion of -1 in k 1546679963.036 * [misc]backup-simplify: Simplify -1 into -1 1546679963.036 * [misc]taylor: Taking taylor expansion of k in k 1546679963.036 * [misc]backup-simplify: Simplify 0 into 0 1546679963.036 * [misc]backup-simplify: Simplify 1 into 1 1546679963.036 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679963.036 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679963.036 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679963.036 * [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)))) 1546679963.037 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679963.037 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679963.037 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679963.037 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679963.037 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679963.037 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679963.037 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679963.037 * [misc]taylor: Taking taylor expansion of -2 in n 1546679963.037 * [misc]backup-simplify: Simplify -2 into -2 1546679963.037 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679963.037 * [misc]taylor: Taking taylor expansion of PI in n 1546679963.037 * [misc]backup-simplify: Simplify PI into PI 1546679963.037 * [misc]taylor: Taking taylor expansion of n in n 1546679963.037 * [misc]backup-simplify: Simplify 0 into 0 1546679963.037 * [misc]backup-simplify: Simplify 1 into 1 1546679963.037 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679963.037 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679963.037 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679963.038 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679963.038 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679963.038 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.038 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679963.038 * [misc]taylor: Taking taylor expansion of k in n 1546679963.038 * [misc]backup-simplify: Simplify k into k 1546679963.038 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679963.038 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.038 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679963.038 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679963.038 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679963.039 * [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))) 1546679963.039 * [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)))) 1546679963.039 * [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))))) 1546679963.040 * [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))))) 1546679963.040 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546679963.041 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679963.041 * [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))))) 1546679963.041 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546679963.041 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679963.041 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679963.041 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679963.041 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679963.041 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679963.041 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679963.041 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679963.041 * [misc]taylor: Taking taylor expansion of -2 in n 1546679963.041 * [misc]backup-simplify: Simplify -2 into -2 1546679963.041 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679963.041 * [misc]taylor: Taking taylor expansion of PI in n 1546679963.041 * [misc]backup-simplify: Simplify PI into PI 1546679963.041 * [misc]taylor: Taking taylor expansion of n in n 1546679963.041 * [misc]backup-simplify: Simplify 0 into 0 1546679963.041 * [misc]backup-simplify: Simplify 1 into 1 1546679963.042 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679963.042 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679963.042 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679963.042 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679963.042 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679963.042 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.042 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679963.042 * [misc]taylor: Taking taylor expansion of k in n 1546679963.042 * [misc]backup-simplify: Simplify k into k 1546679963.042 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679963.042 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.043 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679963.043 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679963.043 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679963.043 * [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))) 1546679963.044 * [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)))) 1546679963.045 * [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))))) 1546679963.045 * [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)))))) 1546679963.046 * [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)))))) 1546679963.047 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679963.047 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679963.047 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679963.047 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679963.048 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679963.049 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679963.052 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546679963.053 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546679963.054 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679963.055 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1546679963.055 * [misc]backup-simplify: Simplify 0 into 0 1546679963.056 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679963.057 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679963.058 * [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))))) 1546679963.058 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546679963.058 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679963.058 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679963.058 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679963.058 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679963.058 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679963.058 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679963.058 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679963.058 * [misc]taylor: Taking taylor expansion of -2 in n 1546679963.058 * [misc]backup-simplify: Simplify -2 into -2 1546679963.058 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679963.058 * [misc]taylor: Taking taylor expansion of PI in n 1546679963.058 * [misc]backup-simplify: Simplify PI into PI 1546679963.058 * [misc]taylor: Taking taylor expansion of n in n 1546679963.058 * [misc]backup-simplify: Simplify 0 into 0 1546679963.058 * [misc]backup-simplify: Simplify 1 into 1 1546679963.059 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679963.059 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679963.059 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679963.060 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679963.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679963.060 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679963.060 * [misc]taylor: Taking taylor expansion of k in n 1546679963.060 * [misc]backup-simplify: Simplify k into k 1546679963.060 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679963.060 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679963.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679963.060 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679963.061 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679963.061 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679963.061 * [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))) 1546679963.062 * [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)))) 1546679963.063 * [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))))) 1546679963.064 * [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)))))) 1546679963.064 * [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)))))) 1546679963.067 * [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))))))))))) 1546679963.067 * * * [misc]progress: simplifying candidates 1546679963.067 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1546679963.068 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546679963.068 * * [misc]simplify: iters left: 6 (11 enodes) 1546679963.072 * * [misc]simplify: iters left: 5 (21 enodes) 1546679963.079 * * [misc]simplify: iters left: 4 (47 enodes) 1546679963.097 * * [misc]simplify: iters left: 3 (109 enodes) 1546679963.148 * * [misc]simplify: iters left: 2 (300 enodes) 1546679963.413 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546679963.414 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1546679963.414 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1546679963.414 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1546679963.414 * [enter]simplify: Simplifying (* PI (* n 2)) 1546679963.414 * * [misc]simplify: iters left: 4 (5 enodes) 1546679963.416 * * [misc]simplify: iters left: 3 (9 enodes) 1546679963.419 * * [misc]simplify: iters left: 2 (15 enodes) 1546679963.423 * * [misc]simplify: iters left: 1 (17 enodes) 1546679963.427 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546679963.427 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1546679963.427 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1546679963.427 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546679963.428 * * [misc]simplify: iters left: 5 (8 enodes) 1546679963.430 * * [misc]simplify: iters left: 4 (12 enodes) 1546679963.434 * * [misc]simplify: iters left: 3 (18 enodes) 1546679963.439 * * [misc]simplify: iters left: 2 (20 enodes) 1546679963.444 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546679963.445 * [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)))))) 1546679963.445 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1546679963.446 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546679963.446 * * [misc]simplify: iters left: 5 (6 enodes) 1546679963.448 * * [misc]simplify: iters left: 4 (8 enodes) 1546679963.450 * * [misc]simplify: iters left: 3 (11 enodes) 1546679963.453 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546679963.453 * [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))))))) 1546679963.454 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1546679963.454 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546679963.454 * * [misc]simplify: iters left: 5 (6 enodes) 1546679963.456 * * [misc]simplify: iters left: 4 (8 enodes) 1546679963.458 * * [misc]simplify: iters left: 3 (11 enodes) 1546679963.461 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546679963.461 * [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))))))) 1546679963.461 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1546679963.462 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546679963.462 * * [misc]simplify: iters left: 4 (5 enodes) 1546679963.463 * * [misc]simplify: iters left: 3 (7 enodes) 1546679963.466 * * [misc]simplify: iters left: 2 (10 enodes) 1546679963.468 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546679963.468 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1546679963.469 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1546679963.469 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546679963.469 * * [misc]simplify: iters left: 5 (9 enodes) 1546679963.472 * * [misc]simplify: iters left: 4 (15 enodes) 1546679963.477 * * [misc]simplify: iters left: 3 (21 enodes) 1546679963.483 * * [misc]simplify: iters left: 2 (22 enodes) 1546679963.488 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546679963.489 * [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))))))) 1546679963.489 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1546679963.489 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546679963.489 * * [misc]simplify: iters left: 5 (9 enodes) 1546679963.492 * * [misc]simplify: iters left: 4 (15 enodes) 1546679963.496 * * [misc]simplify: iters left: 3 (21 enodes) 1546679963.502 * * [misc]simplify: iters left: 2 (22 enodes) 1546679963.511 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546679963.511 * [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))))))) 1546679963.511 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1546679963.511 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546679963.511 * * [misc]simplify: iters left: 5 (7 enodes) 1546679963.514 * * [misc]simplify: iters left: 4 (9 enodes) 1546679963.517 * * [misc]simplify: iters left: 3 (12 enodes) 1546679963.520 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546679963.520 * [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))))))) 1546679963.520 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1546679963.520 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1546679963.520 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1546679963.520 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1546679963.521 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1546679963.522 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546679963.522 * * [misc]simplify: iters left: 6 (14 enodes) 1546679963.527 * * [misc]simplify: iters left: 5 (26 enodes) 1546679963.536 * * [misc]simplify: iters left: 4 (59 enodes) 1546679963.559 * * [misc]simplify: iters left: 3 (164 enodes) 1546679963.614 * * [misc]simplify: iters left: 2 (488 enodes) 1546679963.903 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1546679963.903 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1546679963.903 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1546679963.903 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546679963.903 * * [misc]simplify: iters left: 6 (14 enodes) 1546679963.906 * * [misc]simplify: iters left: 5 (26 enodes) 1546679963.910 * * [misc]simplify: iters left: 4 (59 enodes) 1546679963.923 * * [misc]simplify: iters left: 3 (164 enodes) 1546679963.970 * * [misc]simplify: iters left: 2 (488 enodes) 1546679964.308 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1546679964.308 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1546679964.308 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1546679964.308 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679964.308 * * [misc]simplify: iters left: 6 (14 enodes) 1546679964.313 * * [misc]simplify: iters left: 5 (24 enodes) 1546679964.321 * * [misc]simplify: iters left: 4 (46 enodes) 1546679964.337 * * [misc]simplify: iters left: 3 (103 enodes) 1546679964.383 * * [misc]simplify: iters left: 2 (336 enodes) 1546679964.625 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1546679964.625 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1546679964.626 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1546679964.626 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1546679964.626 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1546679964.626 * [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))))) 1546679964.626 * * [misc]simplify: iters left: 6 (16 enodes) 1546679964.632 * * [misc]simplify: iters left: 5 (31 enodes) 1546679964.642 * * [misc]simplify: iters left: 4 (70 enodes) 1546679964.667 * * [misc]simplify: iters left: 3 (130 enodes) 1546679964.712 * * [misc]simplify: iters left: 2 (206 enodes) 1546679964.803 * * [misc]simplify: iters left: 1 (288 enodes) 1546679964.906 * [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))))) 1546679964.906 * [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)))))))) 1546679964.906 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1546679964.906 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1546679964.906 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1546679964.906 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1546679964.906 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1546679964.907 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546679964.907 * * [misc]simplify: iters left: 6 (12 enodes) 1546679964.909 * * [misc]simplify: iters left: 5 (19 enodes) 1546679964.911 * * [misc]simplify: iters left: 4 (27 enodes) 1546679964.915 * * [misc]simplify: iters left: 3 (29 enodes) 1546679964.919 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546679964.919 * [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))))))) 1546679964.919 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679964.920 * * [misc]simplify: iters left: 6 (12 enodes) 1546679964.923 * * [misc]simplify: iters left: 5 (18 enodes) 1546679964.929 * * [misc]simplify: iters left: 4 (24 enodes) 1546679964.936 * * [misc]simplify: iters left: 3 (25 enodes) 1546679964.942 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546679964.942 * [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))))))) 1546679964.942 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1546679964.943 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546679964.943 * * [misc]simplify: iters left: 6 (12 enodes) 1546679964.947 * * [misc]simplify: iters left: 5 (19 enodes) 1546679964.952 * * [misc]simplify: iters left: 4 (27 enodes) 1546679964.960 * * [misc]simplify: iters left: 3 (29 enodes) 1546679964.967 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546679964.967 * [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))))))) 1546679964.967 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679964.968 * * [misc]simplify: iters left: 6 (12 enodes) 1546679964.971 * * [misc]simplify: iters left: 5 (18 enodes) 1546679964.976 * * [misc]simplify: iters left: 4 (24 enodes) 1546679964.983 * * [misc]simplify: iters left: 3 (25 enodes) 1546679964.990 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546679964.990 * [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))))))) 1546679964.990 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1546679964.990 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546679964.990 * * [misc]simplify: iters left: 6 (11 enodes) 1546679964.994 * * [misc]simplify: iters left: 5 (15 enodes) 1546679964.998 * * [misc]simplify: iters left: 4 (20 enodes) 1546679965.004 * * [misc]simplify: iters left: 3 (21 enodes) 1546679965.010 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546679965.010 * [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))))))) 1546679965.010 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.010 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.014 * * [misc]simplify: iters left: 5 (14 enodes) 1546679965.018 * * [misc]simplify: iters left: 4 (17 enodes) 1546679965.024 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.024 * [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))))))) 1546679965.024 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1546679965.025 * [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)))))) 1546679965.025 * * [misc]simplify: iters left: 6 (16 enodes) 1546679965.031 * * [misc]simplify: iters left: 5 (28 enodes) 1546679965.040 * * [misc]simplify: iters left: 4 (46 enodes) 1546679965.053 * * [misc]simplify: iters left: 3 (50 enodes) 1546679965.065 * * [misc]simplify: iters left: 2 (53 enodes) 1546679965.080 * [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)))))) 1546679965.080 * [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)))))))) 1546679965.080 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.080 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.084 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.091 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.099 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.106 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.106 * [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)))))))) 1546679965.106 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1546679965.107 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.107 * * [misc]simplify: iters left: 6 (15 enodes) 1546679965.112 * * [misc]simplify: iters left: 5 (23 enodes) 1546679965.115 * * [misc]simplify: iters left: 4 (34 enodes) 1546679965.120 * * [misc]simplify: iters left: 3 (36 enodes) 1546679965.125 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.125 * [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)))))))) 1546679965.125 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.125 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.127 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.130 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.134 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.138 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.138 * [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)))))))) 1546679965.138 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1546679965.138 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546679965.139 * * [misc]simplify: iters left: 6 (6 enodes) 1546679965.140 * * [misc]simplify: iters left: 5 (10 enodes) 1546679965.141 * * [misc]simplify: iters left: 4 (16 enodes) 1546679965.143 * * [misc]simplify: iters left: 3 (18 enodes) 1546679965.146 * * [misc]simplify: iters left: 2 (23 enodes) 1546679965.149 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546679965.149 * [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))))))) 1546679965.149 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.149 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.151 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.154 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.158 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.162 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546679965.162 * [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))))))) 1546679965.162 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1546679965.163 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546679965.163 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.164 * * [misc]simplify: iters left: 5 (16 enodes) 1546679965.167 * * [misc]simplify: iters left: 4 (22 enodes) 1546679965.170 * * [misc]simplify: iters left: 3 (23 enodes) 1546679965.173 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546679965.173 * [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))))))) 1546679965.173 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.173 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.175 * * [misc]simplify: iters left: 5 (18 enodes) 1546679965.177 * * [misc]simplify: iters left: 4 (24 enodes) 1546679965.181 * * [misc]simplify: iters left: 3 (25 enodes) 1546679965.184 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546679965.184 * [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))))))) 1546679965.184 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1546679965.184 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546679965.185 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.186 * * [misc]simplify: iters left: 5 (16 enodes) 1546679965.189 * * [misc]simplify: iters left: 4 (22 enodes) 1546679965.192 * * [misc]simplify: iters left: 3 (23 enodes) 1546679965.195 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546679965.195 * [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))))))) 1546679965.195 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.195 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.197 * * [misc]simplify: iters left: 5 (18 enodes) 1546679965.200 * * [misc]simplify: iters left: 4 (24 enodes) 1546679965.203 * * [misc]simplify: iters left: 3 (25 enodes) 1546679965.207 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546679965.207 * [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))))))) 1546679965.207 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1546679965.207 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546679965.207 * * [misc]simplify: iters left: 6 (10 enodes) 1546679965.209 * * [misc]simplify: iters left: 5 (12 enodes) 1546679965.211 * * [misc]simplify: iters left: 4 (15 enodes) 1546679965.215 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546679965.215 * [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))))))) 1546679965.215 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.216 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.219 * * [misc]simplify: iters left: 5 (14 enodes) 1546679965.223 * * [misc]simplify: iters left: 4 (17 enodes) 1546679965.228 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.228 * [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))))))) 1546679965.228 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1546679965.228 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679965.229 * * [misc]simplify: iters left: 6 (15 enodes) 1546679965.233 * * [misc]simplify: iters left: 5 (23 enodes) 1546679965.241 * * [misc]simplify: iters left: 4 (32 enodes) 1546679965.249 * * [misc]simplify: iters left: 3 (34 enodes) 1546679965.254 * [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)))))) 1546679965.254 * [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)))))))) 1546679965.254 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.254 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.256 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.259 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.263 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.267 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.267 * [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)))))))) 1546679965.267 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1546679965.268 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.268 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.270 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.273 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.277 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.281 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.281 * [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)))))))) 1546679965.281 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.281 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.283 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.286 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.290 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.294 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.294 * [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)))))))) 1546679965.294 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1546679965.295 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546679965.295 * * [misc]simplify: iters left: 4 (5 enodes) 1546679965.295 * * [misc]simplify: iters left: 3 (7 enodes) 1546679965.297 * * [misc]simplify: iters left: 2 (9 enodes) 1546679965.298 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546679965.298 * [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))))))) 1546679965.298 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.298 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.300 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.303 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.307 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.311 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546679965.311 * [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))))))) 1546679965.311 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1546679965.311 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546679965.311 * * [misc]simplify: iters left: 6 (9 enodes) 1546679965.315 * * [misc]simplify: iters left: 5 (16 enodes) 1546679965.319 * * [misc]simplify: iters left: 4 (22 enodes) 1546679965.325 * * [misc]simplify: iters left: 3 (23 enodes) 1546679965.331 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546679965.331 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546679965.331 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.331 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.335 * * [misc]simplify: iters left: 5 (17 enodes) 1546679965.341 * * [misc]simplify: iters left: 4 (23 enodes) 1546679965.348 * * [misc]simplify: iters left: 3 (24 enodes) 1546679965.354 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546679965.354 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546679965.354 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1546679965.355 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546679965.355 * * [misc]simplify: iters left: 6 (9 enodes) 1546679965.357 * * [misc]simplify: iters left: 5 (16 enodes) 1546679965.361 * * [misc]simplify: iters left: 4 (22 enodes) 1546679965.366 * * [misc]simplify: iters left: 3 (23 enodes) 1546679965.371 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546679965.371 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546679965.372 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.372 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.375 * * [misc]simplify: iters left: 5 (17 enodes) 1546679965.379 * * [misc]simplify: iters left: 4 (23 enodes) 1546679965.387 * * [misc]simplify: iters left: 3 (24 enodes) 1546679965.393 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546679965.393 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546679965.393 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1546679965.394 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546679965.394 * * [misc]simplify: iters left: 6 (9 enodes) 1546679965.396 * * [misc]simplify: iters left: 5 (13 enodes) 1546679965.400 * * [misc]simplify: iters left: 4 (16 enodes) 1546679965.405 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546679965.405 * [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))))))) 1546679965.406 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.406 * * [misc]simplify: iters left: 6 (10 enodes) 1546679965.409 * * [misc]simplify: iters left: 5 (13 enodes) 1546679965.413 * * [misc]simplify: iters left: 4 (16 enodes) 1546679965.418 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.418 * [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))))))) 1546679965.418 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1546679965.418 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679965.418 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.423 * * [misc]simplify: iters left: 5 (24 enodes) 1546679965.430 * * [misc]simplify: iters left: 4 (33 enodes) 1546679965.439 * * [misc]simplify: iters left: 3 (34 enodes) 1546679965.447 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546679965.448 * [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)))))))) 1546679965.448 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.448 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.452 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.458 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.467 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.475 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546679965.475 * [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)))))))) 1546679965.475 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1546679965.475 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.475 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.479 * * [misc]simplify: iters left: 5 (21 enodes) 1546679965.486 * * [misc]simplify: iters left: 4 (30 enodes) 1546679965.494 * * [misc]simplify: iters left: 3 (31 enodes) 1546679965.503 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1546679965.503 * [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)))))))) 1546679965.503 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.503 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.507 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.513 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.518 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.522 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546679965.522 * [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)))))))) 1546679965.522 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1546679965.523 * [enter]simplify: Simplifying (/ 1 1) 1546679965.523 * * [misc]simplify: iters left: 2 (2 enodes) 1546679965.523 * * [misc]simplify: iters left: 1 (4 enodes) 1546679965.523 * [exit]simplify: Simplified to 1 1546679965.523 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679965.524 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.524 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.526 * * [misc]simplify: iters left: 5 (18 enodes) 1546679965.528 * * [misc]simplify: iters left: 4 (27 enodes) 1546679965.532 * * [misc]simplify: iters left: 3 (29 enodes) 1546679965.536 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.536 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679965.536 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1546679965.536 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1546679965.536 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1546679965.536 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1546679965.536 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546679965.536 * * [misc]simplify: iters left: 5 (9 enodes) 1546679965.538 * * [misc]simplify: iters left: 4 (15 enodes) 1546679965.540 * * [misc]simplify: iters left: 3 (21 enodes) 1546679965.543 * * [misc]simplify: iters left: 2 (22 enodes) 1546679965.546 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546679965.546 * [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)))))) 1546679965.546 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1546679965.546 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546679965.546 * * [misc]simplify: iters left: 5 (9 enodes) 1546679965.548 * * [misc]simplify: iters left: 4 (15 enodes) 1546679965.550 * * [misc]simplify: iters left: 3 (21 enodes) 1546679965.553 * * [misc]simplify: iters left: 2 (22 enodes) 1546679965.556 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546679965.556 * [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)))))) 1546679965.556 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1546679965.556 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546679965.556 * * [misc]simplify: iters left: 5 (8 enodes) 1546679965.557 * * [misc]simplify: iters left: 4 (11 enodes) 1546679965.559 * * [misc]simplify: iters left: 3 (14 enodes) 1546679965.561 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546679965.561 * [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)))))) 1546679965.561 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1546679965.561 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.561 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.563 * * [misc]simplify: iters left: 5 (17 enodes) 1546679965.566 * * [misc]simplify: iters left: 4 (26 enodes) 1546679965.569 * * [misc]simplify: iters left: 3 (27 enodes) 1546679965.574 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546679965.574 * [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))))))) 1546679965.574 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1546679965.574 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.574 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.577 * * [misc]simplify: iters left: 5 (17 enodes) 1546679965.582 * * [misc]simplify: iters left: 4 (26 enodes) 1546679965.589 * * [misc]simplify: iters left: 3 (27 enodes) 1546679965.596 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546679965.596 * [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))))))) 1546679965.596 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1546679965.596 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546679965.596 * * [misc]simplify: iters left: 5 (10 enodes) 1546679965.600 * * [misc]simplify: iters left: 4 (16 enodes) 1546679965.605 * * [misc]simplify: iters left: 3 (25 enodes) 1546679965.612 * * [misc]simplify: iters left: 2 (26 enodes) 1546679965.618 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546679965.618 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546679965.618 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1546679965.619 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546679965.619 * * [misc]simplify: iters left: 4 (4 enodes) 1546679965.620 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546679965.620 * [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)))))) 1546679965.620 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1546679965.620 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546679965.620 * * [misc]simplify: iters left: 2 (3 enodes) 1546679965.620 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546679965.620 * [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)))))) 1546679965.620 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1546679965.620 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1546679965.621 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546679965.621 * * [misc]simplify: iters left: 5 (8 enodes) 1546679965.622 * * [misc]simplify: iters left: 4 (12 enodes) 1546679965.624 * * [misc]simplify: iters left: 3 (18 enodes) 1546679965.626 * * [misc]simplify: iters left: 2 (20 enodes) 1546679965.629 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546679965.629 * [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))))) 1546679965.629 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1546679965.630 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1546679965.630 * [enter]simplify: Simplifying (- 1) 1546679965.630 * * [misc]simplify: iters left: 2 (2 enodes) 1546679965.631 * * [misc]simplify: iters left: 1 (5 enodes) 1546679965.631 * [exit]simplify: Simplified to -1 1546679965.631 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1546679965.631 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1546679965.631 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1546679965.631 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1546679965.631 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1546679965.631 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1546679965.631 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1546679965.631 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1546679965.631 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1546679965.631 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1546679965.632 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1546679965.632 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1546679965.632 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1546679965.632 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1546679965.632 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1546679965.632 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1546679965.632 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.632 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.634 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.637 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.641 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.645 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546679965.645 * [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))))))) 1546679965.645 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1546679965.645 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.645 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.647 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.650 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.654 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.658 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546679965.658 * [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))))))) 1546679965.658 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1546679965.658 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.658 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.660 * * [misc]simplify: iters left: 5 (18 enodes) 1546679965.663 * * [misc]simplify: iters left: 4 (24 enodes) 1546679965.666 * * [misc]simplify: iters left: 3 (25 enodes) 1546679965.670 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546679965.670 * [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)))))) 1546679965.670 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1546679965.670 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.670 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.672 * * [misc]simplify: iters left: 5 (18 enodes) 1546679965.675 * * [misc]simplify: iters left: 4 (24 enodes) 1546679965.678 * * [misc]simplify: iters left: 3 (25 enodes) 1546679965.681 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546679965.682 * [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)))))) 1546679965.682 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1546679965.682 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.682 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.684 * * [misc]simplify: iters left: 5 (14 enodes) 1546679965.686 * * [misc]simplify: iters left: 4 (17 enodes) 1546679965.688 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.688 * [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)))))) 1546679965.688 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1546679965.688 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.688 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.691 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.694 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.698 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.702 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.702 * [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))))))) 1546679965.702 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1546679965.703 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.703 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.706 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.712 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.720 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.728 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.728 * [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))))))) 1546679965.728 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1546679965.728 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.728 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.731 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.734 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.738 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.742 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546679965.742 * [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)))))) 1546679965.742 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1546679965.742 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.743 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.745 * * [misc]simplify: iters left: 5 (18 enodes) 1546679965.747 * * [misc]simplify: iters left: 4 (24 enodes) 1546679965.751 * * [misc]simplify: iters left: 3 (25 enodes) 1546679965.754 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546679965.754 * [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)))))) 1546679965.754 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1546679965.754 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.754 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.756 * * [misc]simplify: iters left: 5 (18 enodes) 1546679965.759 * * [misc]simplify: iters left: 4 (24 enodes) 1546679965.765 * * [misc]simplify: iters left: 3 (25 enodes) 1546679965.771 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546679965.772 * [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)))))) 1546679965.772 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1546679965.772 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.772 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.775 * * [misc]simplify: iters left: 5 (14 enodes) 1546679965.780 * * [misc]simplify: iters left: 4 (17 enodes) 1546679965.785 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.785 * [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)))))) 1546679965.785 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1546679965.785 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.785 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.789 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.792 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.796 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.800 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.800 * [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))))))) 1546679965.800 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1546679965.800 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.800 * * [misc]simplify: iters left: 6 (14 enodes) 1546679965.803 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.806 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.810 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.814 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546679965.814 * [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))))))) 1546679965.814 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1546679965.814 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.814 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.816 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.819 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.823 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.827 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546679965.827 * [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)))))) 1546679965.827 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1546679965.827 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.827 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.829 * * [misc]simplify: iters left: 5 (17 enodes) 1546679965.832 * * [misc]simplify: iters left: 4 (23 enodes) 1546679965.835 * * [misc]simplify: iters left: 3 (24 enodes) 1546679965.838 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546679965.838 * [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)))))) 1546679965.838 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1546679965.838 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546679965.838 * * [misc]simplify: iters left: 6 (11 enodes) 1546679965.840 * * [misc]simplify: iters left: 5 (17 enodes) 1546679965.843 * * [misc]simplify: iters left: 4 (23 enodes) 1546679965.846 * * [misc]simplify: iters left: 3 (24 enodes) 1546679965.849 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546679965.849 * [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)))))) 1546679965.849 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1546679965.849 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.849 * * [misc]simplify: iters left: 6 (10 enodes) 1546679965.851 * * [misc]simplify: iters left: 5 (13 enodes) 1546679965.853 * * [misc]simplify: iters left: 4 (16 enodes) 1546679965.855 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679965.855 * [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)))))) 1546679965.855 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1546679965.855 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.855 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.857 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.861 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.869 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.874 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546679965.874 * [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))))))) 1546679965.874 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1546679965.874 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679965.874 * * [misc]simplify: iters left: 6 (13 enodes) 1546679965.876 * * [misc]simplify: iters left: 5 (19 enodes) 1546679965.879 * * [misc]simplify: iters left: 4 (28 enodes) 1546679965.884 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.888 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546679965.888 * [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))))))) 1546679965.888 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1546679965.888 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.888 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.890 * * [misc]simplify: iters left: 5 (18 enodes) 1546679965.893 * * [misc]simplify: iters left: 4 (27 enodes) 1546679965.897 * * [misc]simplify: iters left: 3 (29 enodes) 1546679965.901 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679965.901 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1546679965.901 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.901 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.903 * * [misc]simplify: iters left: 5 (18 enodes) 1546679965.906 * * [misc]simplify: iters left: 4 (27 enodes) 1546679965.910 * * [misc]simplify: iters left: 3 (29 enodes) 1546679965.914 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.914 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679965.914 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1546679965.914 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679965.914 * * [misc]simplify: iters left: 6 (12 enodes) 1546679965.916 * * [misc]simplify: iters left: 5 (20 enodes) 1546679965.919 * * [misc]simplify: iters left: 4 (29 enodes) 1546679965.923 * * [misc]simplify: iters left: 3 (30 enodes) 1546679965.927 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1546679965.927 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546679965.928 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1546679965.928 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546679965.928 * * [misc]simplify: iters left: 5 (8 enodes) 1546679965.929 * * [misc]simplify: iters left: 4 (12 enodes) 1546679965.931 * * [misc]simplify: iters left: 3 (18 enodes) 1546679965.934 * * [misc]simplify: iters left: 2 (20 enodes) 1546679965.937 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546679965.937 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1546679965.937 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1546679965.937 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546679965.938 * * [misc]simplify: iters left: 5 (10 enodes) 1546679965.939 * * [misc]simplify: iters left: 4 (16 enodes) 1546679965.942 * * [misc]simplify: iters left: 3 (25 enodes) 1546679965.945 * * [misc]simplify: iters left: 2 (26 enodes) 1546679965.949 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546679965.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546679965.949 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1546679965.949 * [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))))) 1546679965.949 * * [misc]simplify: iters left: 6 (37 enodes) 1546679965.959 * * [misc]simplify: iters left: 5 (105 enodes) 1546679966.007 * * [misc]simplify: iters left: 4 (339 enodes) 1546679966.218 * [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))))) 1546679966.219 * [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)))))))) 1546679966.219 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1546679966.219 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546679966.219 * * [misc]simplify: iters left: 6 (15 enodes) 1546679966.225 * * [misc]simplify: iters left: 5 (33 enodes) 1546679966.236 * * [misc]simplify: iters left: 4 (64 enodes) 1546679966.260 * * [misc]simplify: iters left: 3 (171 enodes) 1546679966.359 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1546679966.359 * [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))))))) 1546679966.359 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1546679966.359 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546679966.360 * * [misc]simplify: iters left: 6 (15 enodes) 1546679966.366 * * [misc]simplify: iters left: 5 (30 enodes) 1546679966.376 * * [misc]simplify: iters left: 4 (65 enodes) 1546679966.403 * * [misc]simplify: iters left: 3 (200 enodes) 1546679966.527 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1546679966.527 * [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))))))) 1546679966.527 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1546679966.527 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546679966.527 * * [misc]simplify: iters left: 4 (5 enodes) 1546679966.529 * * [misc]simplify: iters left: 3 (9 enodes) 1546679966.532 * * [misc]simplify: iters left: 2 (15 enodes) 1546679966.536 * * [misc]simplify: iters left: 1 (17 enodes) 1546679966.540 * [exit]simplify: Simplified to (* (* PI n) 2) 1546679966.540 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679966.540 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1546679966.541 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546679966.541 * * [misc]simplify: iters left: 4 (5 enodes) 1546679966.542 * * [misc]simplify: iters left: 3 (9 enodes) 1546679966.549 * * [misc]simplify: iters left: 2 (15 enodes) 1546679966.553 * * [misc]simplify: iters left: 1 (17 enodes) 1546679966.558 * [exit]simplify: Simplified to (* (* PI n) 2) 1546679966.558 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679966.558 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1546679966.558 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546679966.558 * * [misc]simplify: iters left: 4 (5 enodes) 1546679966.560 * * [misc]simplify: iters left: 3 (9 enodes) 1546679966.563 * * [misc]simplify: iters left: 2 (15 enodes) 1546679966.567 * * [misc]simplify: iters left: 1 (17 enodes) 1546679966.571 * [exit]simplify: Simplified to (* (* PI n) 2) 1546679966.571 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679966.571 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1546679966.572 * [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))))))))))) 1546679966.572 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546679966.572 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1546679966.572 * [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)))))))))))) 1546679966.572 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546679966.572 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1546679966.572 * [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)))))))))))) 1546679966.572 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546679966.572 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1546679966.572 * [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))))))))))))) 1546679966.572 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546679966.572 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1546679966.573 * [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)))))))) 1546679966.573 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546679966.573 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1546679966.573 * [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))))))))))) 1546679966.573 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546679966.573 * * * [misc]progress: adding candidates to table 1546679968.090 * * [misc]progress: iteration 3 / 4 1546679968.090 * * * [misc]progress: picking best candidate 1546679968.128 * * * * [misc]pick: Picked # 1546679968.128 * * * [misc]progress: localizing error 1546679968.137 * * * [misc]progress: generating rewritten candidates 1546679968.137 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546679968.139 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1546679968.140 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) 1546679968.141 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546679968.148 * * * [misc]progress: generating series expansions 1546679968.148 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546679968.148 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546679968.148 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546679968.148 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679968.148 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679968.148 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679968.148 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679968.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.148 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679968.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.148 * [misc]taylor: Taking taylor expansion of k in k 1546679968.149 * [misc]backup-simplify: Simplify 0 into 0 1546679968.149 * [misc]backup-simplify: Simplify 1 into 1 1546679968.149 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679968.149 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679968.149 * [misc]taylor: Taking taylor expansion of 2 in k 1546679968.149 * [misc]backup-simplify: Simplify 2 into 2 1546679968.149 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679968.149 * [misc]taylor: Taking taylor expansion of n in k 1546679968.149 * [misc]backup-simplify: Simplify n into n 1546679968.149 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.149 * [misc]backup-simplify: Simplify PI into PI 1546679968.149 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679968.149 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679968.149 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679968.149 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679968.149 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.149 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679968.149 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679968.149 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679968.149 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679968.149 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679968.149 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679968.149 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679968.149 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.149 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.149 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679968.150 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.150 * [misc]taylor: Taking taylor expansion of k in n 1546679968.150 * [misc]backup-simplify: Simplify k into k 1546679968.150 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679968.150 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679968.150 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.150 * [misc]backup-simplify: Simplify 2 into 2 1546679968.150 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.150 * [misc]taylor: Taking taylor expansion of n in n 1546679968.150 * [misc]backup-simplify: Simplify 0 into 0 1546679968.150 * [misc]backup-simplify: Simplify 1 into 1 1546679968.150 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.150 * [misc]backup-simplify: Simplify PI into PI 1546679968.150 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.150 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679968.151 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.151 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679968.151 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.151 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679968.151 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679968.151 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679968.152 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.152 * [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)))) 1546679968.153 * [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))))) 1546679968.153 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679968.153 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679968.153 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679968.153 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679968.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.153 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679968.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.153 * [misc]taylor: Taking taylor expansion of k in n 1546679968.153 * [misc]backup-simplify: Simplify k into k 1546679968.153 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679968.153 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679968.153 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.153 * [misc]backup-simplify: Simplify 2 into 2 1546679968.153 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.153 * [misc]taylor: Taking taylor expansion of n in n 1546679968.153 * [misc]backup-simplify: Simplify 0 into 0 1546679968.153 * [misc]backup-simplify: Simplify 1 into 1 1546679968.153 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.153 * [misc]backup-simplify: Simplify PI into PI 1546679968.153 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.153 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679968.154 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.154 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679968.154 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.154 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679968.154 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679968.154 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679968.155 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.155 * [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)))) 1546679968.156 * [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))))) 1546679968.156 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546679968.156 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546679968.156 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679968.156 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.156 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679968.156 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.156 * [misc]taylor: Taking taylor expansion of k in k 1546679968.156 * [misc]backup-simplify: Simplify 0 into 0 1546679968.156 * [misc]backup-simplify: Simplify 1 into 1 1546679968.156 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546679968.156 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679968.156 * [misc]taylor: Taking taylor expansion of n in k 1546679968.156 * [misc]backup-simplify: Simplify n into n 1546679968.156 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679968.156 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546679968.156 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546679968.156 * [misc]taylor: Taking taylor expansion of 2 in k 1546679968.156 * [misc]backup-simplify: Simplify 2 into 2 1546679968.156 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.156 * [misc]backup-simplify: Simplify PI into PI 1546679968.156 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.157 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.157 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679968.157 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.157 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679968.157 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.158 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546679968.158 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546679968.158 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546679968.159 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679968.160 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679968.161 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679968.161 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546679968.162 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.162 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.162 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546679968.163 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679968.164 * [misc]taylor: Taking taylor expansion of 0 in k 1546679968.164 * [misc]backup-simplify: Simplify 0 into 0 1546679968.164 * [misc]backup-simplify: Simplify 0 into 0 1546679968.164 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546679968.164 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679968.166 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679968.166 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.166 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679968.167 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679968.167 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679968.167 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546679968.168 * [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))))))) 1546679968.169 * [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))))))) 1546679968.170 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679968.171 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546679968.176 * [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 1546679968.176 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546679968.176 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.177 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.177 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.178 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546679968.180 * [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 1546679968.180 * [misc]taylor: Taking taylor expansion of 0 in k 1546679968.181 * [misc]backup-simplify: Simplify 0 into 0 1546679968.181 * [misc]backup-simplify: Simplify 0 into 0 1546679968.181 * [misc]backup-simplify: Simplify 0 into 0 1546679968.182 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546679968.183 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679968.189 * [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 1546679968.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679968.189 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.190 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.191 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546679968.193 * [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))))) 1546679968.195 * [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))))) 1546679968.201 * [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))))) 1546679968.201 * [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)))) 1546679968.201 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546679968.201 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679968.201 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679968.201 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679968.201 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679968.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.201 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679968.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.201 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.201 * [misc]taylor: Taking taylor expansion of k in k 1546679968.201 * [misc]backup-simplify: Simplify 0 into 0 1546679968.202 * [misc]backup-simplify: Simplify 1 into 1 1546679968.202 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.202 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679968.202 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679968.202 * [misc]taylor: Taking taylor expansion of 2 in k 1546679968.202 * [misc]backup-simplify: Simplify 2 into 2 1546679968.202 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679968.202 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.202 * [misc]backup-simplify: Simplify PI into PI 1546679968.202 * [misc]taylor: Taking taylor expansion of n in k 1546679968.202 * [misc]backup-simplify: Simplify n into n 1546679968.202 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679968.202 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679968.202 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679968.203 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679968.203 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679968.203 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679968.203 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679968.203 * [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)))) 1546679968.203 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679968.203 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679968.203 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679968.203 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679968.203 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.203 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.204 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.204 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.204 * [misc]taylor: Taking taylor expansion of k in n 1546679968.204 * [misc]backup-simplify: Simplify k into k 1546679968.204 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.204 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679968.204 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679968.204 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.204 * [misc]backup-simplify: Simplify 2 into 2 1546679968.204 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.204 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.204 * [misc]backup-simplify: Simplify PI into PI 1546679968.204 * [misc]taylor: Taking taylor expansion of n in n 1546679968.204 * [misc]backup-simplify: Simplify 0 into 0 1546679968.204 * [misc]backup-simplify: Simplify 1 into 1 1546679968.204 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.205 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.205 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.205 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.205 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679968.206 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679968.206 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.207 * [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))) 1546679968.208 * [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)))) 1546679968.208 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679968.208 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679968.208 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679968.208 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679968.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.208 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.208 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.208 * [misc]taylor: Taking taylor expansion of k in n 1546679968.208 * [misc]backup-simplify: Simplify k into k 1546679968.208 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.208 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679968.208 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679968.208 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.208 * [misc]backup-simplify: Simplify 2 into 2 1546679968.208 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.208 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.208 * [misc]backup-simplify: Simplify PI into PI 1546679968.208 * [misc]taylor: Taking taylor expansion of n in n 1546679968.208 * [misc]backup-simplify: Simplify 0 into 0 1546679968.208 * [misc]backup-simplify: Simplify 1 into 1 1546679968.209 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.209 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.209 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.210 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.210 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679968.210 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679968.210 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.211 * [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))) 1546679968.212 * [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)))) 1546679968.212 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546679968.212 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546679968.212 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679968.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.212 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679968.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.212 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.212 * [misc]taylor: Taking taylor expansion of k in k 1546679968.212 * [misc]backup-simplify: Simplify 0 into 0 1546679968.212 * [misc]backup-simplify: Simplify 1 into 1 1546679968.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.212 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546679968.212 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546679968.212 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546679968.213 * [misc]taylor: Taking taylor expansion of 2 in k 1546679968.213 * [misc]backup-simplify: Simplify 2 into 2 1546679968.213 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.213 * [misc]backup-simplify: Simplify PI into PI 1546679968.213 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.213 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.213 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679968.213 * [misc]taylor: Taking taylor expansion of n in k 1546679968.213 * [misc]backup-simplify: Simplify n into n 1546679968.214 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679968.214 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679968.214 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679968.214 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679968.214 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679968.215 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546679968.215 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546679968.216 * [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)))) 1546679968.217 * [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)))) 1546679968.218 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679968.218 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679968.222 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679968.222 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679968.222 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679968.222 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.222 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.226 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.227 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546679968.228 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679968.229 * [misc]taylor: Taking taylor expansion of 0 in k 1546679968.229 * [misc]backup-simplify: Simplify 0 into 0 1546679968.229 * [misc]backup-simplify: Simplify 0 into 0 1546679968.229 * [misc]backup-simplify: Simplify 0 into 0 1546679968.230 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.231 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679968.236 * [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 1546679968.237 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679968.237 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679968.237 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.237 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.238 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.239 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546679968.242 * [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 1546679968.242 * [misc]taylor: Taking taylor expansion of 0 in k 1546679968.242 * [misc]backup-simplify: Simplify 0 into 0 1546679968.242 * [misc]backup-simplify: Simplify 0 into 0 1546679968.242 * [misc]backup-simplify: Simplify 0 into 0 1546679968.242 * [misc]backup-simplify: Simplify 0 into 0 1546679968.244 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.245 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679968.253 * [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 1546679968.254 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679968.254 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546679968.254 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.255 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.256 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546679968.260 * [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 1546679968.260 * [misc]taylor: Taking taylor expansion of 0 in k 1546679968.260 * [misc]backup-simplify: Simplify 0 into 0 1546679968.260 * [misc]backup-simplify: Simplify 0 into 0 1546679968.260 * [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))))) 1546679968.261 * [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)) 1546679968.261 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546679968.261 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679968.261 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679968.261 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679968.261 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679968.261 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679968.261 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.261 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.261 * [misc]taylor: Taking taylor expansion of k in k 1546679968.261 * [misc]backup-simplify: Simplify 0 into 0 1546679968.261 * [misc]backup-simplify: Simplify 1 into 1 1546679968.261 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.261 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.261 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679968.261 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679968.261 * [misc]taylor: Taking taylor expansion of -2 in k 1546679968.261 * [misc]backup-simplify: Simplify -2 into -2 1546679968.261 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679968.261 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.262 * [misc]backup-simplify: Simplify PI into PI 1546679968.262 * [misc]taylor: Taking taylor expansion of n in k 1546679968.262 * [misc]backup-simplify: Simplify n into n 1546679968.262 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679968.262 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679968.262 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679968.262 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679968.262 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679968.262 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679968.262 * [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))) 1546679968.263 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679968.263 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679968.263 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679968.263 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679968.263 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.263 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.263 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.263 * [misc]taylor: Taking taylor expansion of k in n 1546679968.263 * [misc]backup-simplify: Simplify k into k 1546679968.263 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.263 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.263 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679968.263 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679968.263 * [misc]taylor: Taking taylor expansion of -2 in n 1546679968.263 * [misc]backup-simplify: Simplify -2 into -2 1546679968.263 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.263 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.263 * [misc]backup-simplify: Simplify PI into PI 1546679968.263 * [misc]taylor: Taking taylor expansion of n in n 1546679968.263 * [misc]backup-simplify: Simplify 0 into 0 1546679968.263 * [misc]backup-simplify: Simplify 1 into 1 1546679968.264 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.264 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679968.264 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679968.265 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.265 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679968.265 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.266 * [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))) 1546679968.266 * [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)))) 1546679968.267 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679968.267 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679968.267 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679968.267 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679968.267 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.267 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.267 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.267 * [misc]taylor: Taking taylor expansion of k in n 1546679968.267 * [misc]backup-simplify: Simplify k into k 1546679968.267 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.267 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.267 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679968.267 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679968.267 * [misc]taylor: Taking taylor expansion of -2 in n 1546679968.267 * [misc]backup-simplify: Simplify -2 into -2 1546679968.267 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.267 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.267 * [misc]backup-simplify: Simplify PI into PI 1546679968.267 * [misc]taylor: Taking taylor expansion of n in n 1546679968.267 * [misc]backup-simplify: Simplify 0 into 0 1546679968.267 * [misc]backup-simplify: Simplify 1 into 1 1546679968.268 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.268 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679968.268 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679968.268 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.268 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679968.269 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.270 * [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))) 1546679968.270 * [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)))) 1546679968.271 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546679968.271 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546679968.271 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679968.271 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679968.271 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.271 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.271 * [misc]taylor: Taking taylor expansion of k in k 1546679968.271 * [misc]backup-simplify: Simplify 0 into 0 1546679968.271 * [misc]backup-simplify: Simplify 1 into 1 1546679968.271 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.271 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.271 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546679968.271 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546679968.271 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546679968.271 * [misc]taylor: Taking taylor expansion of -2 in k 1546679968.271 * [misc]backup-simplify: Simplify -2 into -2 1546679968.271 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.271 * [misc]backup-simplify: Simplify PI into PI 1546679968.272 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679968.272 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679968.272 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679968.272 * [misc]taylor: Taking taylor expansion of n in k 1546679968.272 * [misc]backup-simplify: Simplify n into n 1546679968.272 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679968.272 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679968.272 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679968.273 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679968.273 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546679968.274 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546679968.274 * [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)))) 1546679968.275 * [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)))) 1546679968.276 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679968.277 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679968.280 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546679968.280 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679968.280 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679968.280 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.281 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.281 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546679968.283 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679968.283 * [misc]taylor: Taking taylor expansion of 0 in k 1546679968.283 * [misc]backup-simplify: Simplify 0 into 0 1546679968.283 * [misc]backup-simplify: Simplify 0 into 0 1546679968.283 * [misc]backup-simplify: Simplify 0 into 0 1546679968.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.286 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679968.291 * [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 1546679968.291 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679968.292 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679968.292 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.293 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.293 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546679968.296 * [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 1546679968.296 * [misc]taylor: Taking taylor expansion of 0 in k 1546679968.296 * [misc]backup-simplify: Simplify 0 into 0 1546679968.296 * [misc]backup-simplify: Simplify 0 into 0 1546679968.296 * [misc]backup-simplify: Simplify 0 into 0 1546679968.296 * [misc]backup-simplify: Simplify 0 into 0 1546679968.298 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.299 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679968.307 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 1546679968.308 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679968.308 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546679968.308 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.309 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.310 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546679968.314 * [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 1546679968.314 * [misc]taylor: Taking taylor expansion of 0 in k 1546679968.314 * [misc]backup-simplify: Simplify 0 into 0 1546679968.314 * [misc]backup-simplify: Simplify 0 into 0 1546679968.315 * [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))))) 1546679968.315 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1546679968.315 * [misc]backup-simplify: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 1546679968.315 * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 1546679968.315 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679968.315 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.315 * [misc]taylor: Taking taylor expansion of k in k 1546679968.315 * [misc]backup-simplify: Simplify 0 into 0 1546679968.315 * [misc]backup-simplify: Simplify 1 into 1 1546679968.315 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.315 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.316 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679968.316 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679968.316 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.316 * [misc]taylor: Taking taylor expansion of k in k 1546679968.316 * [misc]backup-simplify: Simplify 0 into 0 1546679968.316 * [misc]backup-simplify: Simplify 1 into 1 1546679968.316 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.316 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.317 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679968.317 * [misc]backup-simplify: Simplify 0 into 0 1546679968.317 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.317 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546679968.318 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679968.318 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.319 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.320 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679968.320 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.320 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1546679968.320 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 1546679968.320 * [misc]approximate: Taking taylor expansion of (sqrt k) in (k) around 0 1546679968.320 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679968.320 * [misc]taylor: Taking taylor expansion of k in k 1546679968.321 * [misc]backup-simplify: Simplify 0 into 0 1546679968.321 * [misc]backup-simplify: Simplify 1 into 1 1546679968.321 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.321 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679968.321 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679968.321 * [misc]taylor: Taking taylor expansion of k in k 1546679968.321 * [misc]backup-simplify: Simplify 0 into 0 1546679968.321 * [misc]backup-simplify: Simplify 1 into 1 1546679968.321 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.322 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679968.322 * [misc]backup-simplify: Simplify 0 into 0 1546679968.322 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.323 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679968.323 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.324 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679968.324 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.325 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1546679968.325 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 1546679968.325 * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 1546679968.325 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1546679968.325 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679968.325 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679968.325 * [misc]taylor: Taking taylor expansion of -1 in k 1546679968.325 * [misc]backup-simplify: Simplify -1 into -1 1546679968.325 * [misc]taylor: Taking taylor expansion of k in k 1546679968.325 * [misc]backup-simplify: Simplify 0 into 0 1546679968.325 * [misc]backup-simplify: Simplify 1 into 1 1546679968.325 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679968.326 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.326 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679968.326 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1546679968.326 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1546679968.326 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679968.326 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679968.326 * [misc]taylor: Taking taylor expansion of -1 in k 1546679968.326 * [misc]backup-simplify: Simplify -1 into -1 1546679968.326 * [misc]taylor: Taking taylor expansion of k in k 1546679968.326 * [misc]backup-simplify: Simplify 0 into 0 1546679968.327 * [misc]backup-simplify: Simplify 1 into 1 1546679968.327 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679968.327 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.327 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679968.327 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1546679968.328 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.328 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546679968.329 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679968.330 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1546679968.330 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1546679968.330 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.331 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679968.333 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1546679968.333 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1546679968.334 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1546679968.334 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) 1546679968.334 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546679968.334 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546679968.334 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679968.334 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.334 * [misc]backup-simplify: Simplify 2 into 2 1546679968.334 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.334 * [misc]taylor: Taking taylor expansion of n in n 1546679968.334 * [misc]backup-simplify: Simplify 0 into 0 1546679968.334 * [misc]backup-simplify: Simplify 1 into 1 1546679968.334 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.334 * [misc]backup-simplify: Simplify PI into PI 1546679968.334 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679968.334 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.334 * [misc]backup-simplify: Simplify 2 into 2 1546679968.334 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.334 * [misc]taylor: Taking taylor expansion of n in n 1546679968.334 * [misc]backup-simplify: Simplify 0 into 0 1546679968.334 * [misc]backup-simplify: Simplify 1 into 1 1546679968.334 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.334 * [misc]backup-simplify: Simplify PI into PI 1546679968.335 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.335 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679968.335 * [misc]backup-simplify: Simplify 0 into 0 1546679968.336 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.336 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679968.337 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.338 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679968.339 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679968.339 * [misc]backup-simplify: Simplify 0 into 0 1546679968.340 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679968.342 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546679968.342 * [misc]backup-simplify: Simplify 0 into 0 1546679968.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679968.347 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546679968.347 * [misc]backup-simplify: Simplify 0 into 0 1546679968.350 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546679968.352 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546679968.352 * [misc]backup-simplify: Simplify 0 into 0 1546679968.356 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546679968.359 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546679968.359 * [misc]backup-simplify: Simplify 0 into 0 1546679968.364 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546679968.368 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546679968.368 * [misc]backup-simplify: Simplify 0 into 0 1546679968.368 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546679968.368 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546679968.368 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546679968.368 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679968.368 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.368 * [misc]backup-simplify: Simplify 2 into 2 1546679968.368 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.368 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.368 * [misc]backup-simplify: Simplify PI into PI 1546679968.368 * [misc]taylor: Taking taylor expansion of n in n 1546679968.368 * [misc]backup-simplify: Simplify 0 into 0 1546679968.369 * [misc]backup-simplify: Simplify 1 into 1 1546679968.369 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.369 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679968.369 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.369 * [misc]backup-simplify: Simplify 2 into 2 1546679968.369 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.369 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.369 * [misc]backup-simplify: Simplify PI into PI 1546679968.369 * [misc]taylor: Taking taylor expansion of n in n 1546679968.369 * [misc]backup-simplify: Simplify 0 into 0 1546679968.369 * [misc]backup-simplify: Simplify 1 into 1 1546679968.369 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.370 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.370 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.371 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679968.372 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679968.372 * [misc]backup-simplify: Simplify 0 into 0 1546679968.373 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.374 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679968.374 * [misc]backup-simplify: Simplify 0 into 0 1546679968.376 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.377 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679968.378 * [misc]backup-simplify: Simplify 0 into 0 1546679968.379 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.381 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679968.381 * [misc]backup-simplify: Simplify 0 into 0 1546679968.382 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546679968.384 * [misc]backup-simplify: Simplify 0 into 0 1546679968.386 * [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 1546679968.388 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546679968.388 * [misc]backup-simplify: Simplify 0 into 0 1546679968.388 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546679968.388 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546679968.388 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546679968.389 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679968.389 * [misc]taylor: Taking taylor expansion of -2 in n 1546679968.389 * [misc]backup-simplify: Simplify -2 into -2 1546679968.389 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.389 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.389 * [misc]backup-simplify: Simplify PI into PI 1546679968.389 * [misc]taylor: Taking taylor expansion of n in n 1546679968.389 * [misc]backup-simplify: Simplify 0 into 0 1546679968.389 * [misc]backup-simplify: Simplify 1 into 1 1546679968.389 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.389 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679968.389 * [misc]taylor: Taking taylor expansion of -2 in n 1546679968.389 * [misc]backup-simplify: Simplify -2 into -2 1546679968.389 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.389 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.389 * [misc]backup-simplify: Simplify PI into PI 1546679968.389 * [misc]taylor: Taking taylor expansion of n in n 1546679968.389 * [misc]backup-simplify: Simplify 0 into 0 1546679968.389 * [misc]backup-simplify: Simplify 1 into 1 1546679968.389 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.389 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679968.390 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679968.390 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679968.391 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679968.391 * [misc]backup-simplify: Simplify 0 into 0 1546679968.392 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.392 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546679968.392 * [misc]backup-simplify: Simplify 0 into 0 1546679968.393 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.394 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679968.394 * [misc]backup-simplify: Simplify 0 into 0 1546679968.395 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.397 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546679968.397 * [misc]backup-simplify: Simplify 0 into 0 1546679968.398 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.400 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546679968.400 * [misc]backup-simplify: Simplify 0 into 0 1546679968.402 * [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 1546679968.404 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546679968.404 * [misc]backup-simplify: Simplify 0 into 0 1546679968.404 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546679968.405 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546679968.405 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1546679968.405 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k n) around 0 1546679968.405 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1546679968.405 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546679968.405 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546679968.405 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546679968.405 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679968.405 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.405 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679968.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.406 * [misc]taylor: Taking taylor expansion of k in n 1546679968.406 * [misc]backup-simplify: Simplify k into k 1546679968.406 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679968.406 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679968.406 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.406 * [misc]backup-simplify: Simplify 2 into 2 1546679968.406 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.406 * [misc]taylor: Taking taylor expansion of n in n 1546679968.406 * [misc]backup-simplify: Simplify 0 into 0 1546679968.406 * [misc]backup-simplify: Simplify 1 into 1 1546679968.406 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.406 * [misc]backup-simplify: Simplify PI into PI 1546679968.406 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.407 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679968.407 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.408 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679968.409 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.409 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679968.409 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679968.409 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679968.410 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.410 * [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)))) 1546679968.411 * [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))))) 1546679968.411 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546679968.411 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.411 * [misc]taylor: Taking taylor expansion of k in n 1546679968.411 * [misc]backup-simplify: Simplify k into k 1546679968.411 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.411 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546679968.411 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679968.411 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546679968.411 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1546679968.411 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679968.411 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679968.411 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679968.412 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679968.412 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.412 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679968.412 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.412 * [misc]taylor: Taking taylor expansion of k in k 1546679968.412 * [misc]backup-simplify: Simplify 0 into 0 1546679968.412 * [misc]backup-simplify: Simplify 1 into 1 1546679968.412 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679968.412 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679968.412 * [misc]taylor: Taking taylor expansion of 2 in k 1546679968.412 * [misc]backup-simplify: Simplify 2 into 2 1546679968.412 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679968.412 * [misc]taylor: Taking taylor expansion of n in k 1546679968.412 * [misc]backup-simplify: Simplify n into n 1546679968.412 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.412 * [misc]backup-simplify: Simplify PI into PI 1546679968.412 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679968.412 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679968.412 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679968.412 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679968.413 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.413 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679968.413 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679968.413 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679968.413 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679968.413 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.413 * [misc]taylor: Taking taylor expansion of k in k 1546679968.413 * [misc]backup-simplify: Simplify 0 into 0 1546679968.413 * [misc]backup-simplify: Simplify 1 into 1 1546679968.413 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.414 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.414 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679968.414 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1546679968.414 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546679968.414 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546679968.414 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546679968.414 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679968.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.414 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679968.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.414 * [misc]taylor: Taking taylor expansion of k in k 1546679968.414 * [misc]backup-simplify: Simplify 0 into 0 1546679968.414 * [misc]backup-simplify: Simplify 1 into 1 1546679968.414 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546679968.414 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546679968.415 * [misc]taylor: Taking taylor expansion of 2 in k 1546679968.415 * [misc]backup-simplify: Simplify 2 into 2 1546679968.415 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546679968.415 * [misc]taylor: Taking taylor expansion of n in k 1546679968.415 * [misc]backup-simplify: Simplify n into n 1546679968.415 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.415 * [misc]backup-simplify: Simplify PI into PI 1546679968.415 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546679968.415 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546679968.415 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546679968.415 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679968.415 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.415 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679968.416 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546679968.416 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546679968.416 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679968.416 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.416 * [misc]taylor: Taking taylor expansion of k in k 1546679968.416 * [misc]backup-simplify: Simplify 0 into 0 1546679968.416 * [misc]backup-simplify: Simplify 1 into 1 1546679968.416 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.416 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.417 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679968.417 * [misc]backup-simplify: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 1546679968.417 * [misc]taylor: Taking taylor expansion of 0 in n 1546679968.417 * [misc]backup-simplify: Simplify 0 into 0 1546679968.417 * [misc]backup-simplify: Simplify 0 into 0 1546679968.417 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546679968.418 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546679968.418 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546679968.419 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679968.419 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679968.419 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679968.419 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546679968.419 * [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))))) 1546679968.420 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1546679968.420 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546679968.420 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546679968.420 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.420 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.420 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546679968.420 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679968.420 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.420 * [misc]backup-simplify: Simplify 2 into 2 1546679968.420 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679968.420 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679968.420 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679968.420 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.420 * [misc]taylor: Taking taylor expansion of n in n 1546679968.420 * [misc]backup-simplify: Simplify 0 into 0 1546679968.420 * [misc]backup-simplify: Simplify 1 into 1 1546679968.420 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.420 * [misc]backup-simplify: Simplify PI into PI 1546679968.420 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.421 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.421 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.421 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679968.421 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546679968.421 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679968.422 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.422 * [misc]backup-simplify: Simplify 0 into 0 1546679968.422 * [misc]backup-simplify: Simplify 0 into 0 1546679968.422 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546679968.422 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679968.423 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546679968.423 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546679968.424 * [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 1546679968.424 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679968.424 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.424 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.425 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546679968.425 * [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))) 1546679968.426 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1546679968.426 * [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 1546679968.426 * [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 1546679968.426 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546679968.426 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.426 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.426 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546679968.426 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546679968.426 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679968.426 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.426 * [misc]backup-simplify: Simplify 2 into 2 1546679968.426 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679968.426 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679968.426 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679968.426 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679968.426 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.426 * [misc]backup-simplify: Simplify 2 into 2 1546679968.426 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.426 * [misc]taylor: Taking taylor expansion of n in n 1546679968.426 * [misc]backup-simplify: Simplify 0 into 0 1546679968.426 * [misc]backup-simplify: Simplify 1 into 1 1546679968.426 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.426 * [misc]backup-simplify: Simplify PI into PI 1546679968.427 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.427 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679968.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.428 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679968.428 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.428 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679968.428 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.428 * [misc]taylor: Taking taylor expansion of n in n 1546679968.428 * [misc]backup-simplify: Simplify 0 into 0 1546679968.428 * [misc]backup-simplify: Simplify 1 into 1 1546679968.428 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.428 * [misc]backup-simplify: Simplify PI into PI 1546679968.428 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.429 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.429 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.429 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679968.429 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546679968.429 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546679968.429 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.429 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.429 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546679968.429 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679968.429 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.429 * [misc]backup-simplify: Simplify 2 into 2 1546679968.429 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679968.429 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679968.429 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679968.429 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.429 * [misc]taylor: Taking taylor expansion of n in n 1546679968.429 * [misc]backup-simplify: Simplify 0 into 0 1546679968.429 * [misc]backup-simplify: Simplify 1 into 1 1546679968.429 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.429 * [misc]backup-simplify: Simplify PI into PI 1546679968.430 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.430 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.430 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.430 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679968.431 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.431 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546679968.432 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546679968.432 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679968.432 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546679968.432 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679968.432 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.432 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.432 * [misc]backup-simplify: Simplify 0 into 0 1546679968.433 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679968.434 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679968.435 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679968.436 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679968.436 * [misc]backup-simplify: Simplify 0 into 0 1546679968.436 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.437 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679968.437 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546679968.438 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1546679968.439 * [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 1546679968.440 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546679968.440 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.440 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1546679968.441 * [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))) 1546679968.442 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 1546679968.442 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 1546679968.442 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 1546679968.442 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546679968.442 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.442 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.442 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546679968.442 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546679968.442 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679968.442 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.442 * [misc]backup-simplify: Simplify 2 into 2 1546679968.442 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679968.442 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679968.442 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679968.442 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679968.442 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.442 * [misc]backup-simplify: Simplify 2 into 2 1546679968.442 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.442 * [misc]taylor: Taking taylor expansion of n in n 1546679968.443 * [misc]backup-simplify: Simplify 0 into 0 1546679968.443 * [misc]backup-simplify: Simplify 1 into 1 1546679968.443 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.443 * [misc]backup-simplify: Simplify PI into PI 1546679968.443 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.443 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679968.443 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.445 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679968.445 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.445 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679968.445 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.445 * [misc]taylor: Taking taylor expansion of n in n 1546679968.445 * [misc]backup-simplify: Simplify 0 into 0 1546679968.446 * [misc]backup-simplify: Simplify 1 into 1 1546679968.446 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.446 * [misc]backup-simplify: Simplify PI into PI 1546679968.446 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.446 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.447 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.447 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679968.447 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 1546679968.448 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 1546679968.448 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546679968.448 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.448 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.448 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546679968.448 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679968.448 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.448 * [misc]backup-simplify: Simplify 2 into 2 1546679968.448 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679968.448 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679968.448 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679968.448 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.448 * [misc]taylor: Taking taylor expansion of n in n 1546679968.448 * [misc]backup-simplify: Simplify 0 into 0 1546679968.448 * [misc]backup-simplify: Simplify 1 into 1 1546679968.448 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.448 * [misc]backup-simplify: Simplify PI into PI 1546679968.449 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.450 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.450 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.450 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679968.450 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1546679968.450 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1546679968.450 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.451 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.451 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1546679968.451 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1546679968.451 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679968.451 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.451 * [misc]backup-simplify: Simplify 2 into 2 1546679968.451 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679968.451 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679968.451 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1546679968.451 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546679968.451 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546679968.451 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.451 * [misc]backup-simplify: Simplify 2 into 2 1546679968.451 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.451 * [misc]taylor: Taking taylor expansion of n in n 1546679968.451 * [misc]backup-simplify: Simplify 0 into 0 1546679968.452 * [misc]backup-simplify: Simplify 1 into 1 1546679968.452 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.452 * [misc]backup-simplify: Simplify PI into PI 1546679968.452 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.452 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679968.453 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.453 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546679968.454 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.455 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.455 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679968.455 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679968.455 * [misc]taylor: Taking taylor expansion of n in n 1546679968.455 * [misc]backup-simplify: Simplify 0 into 0 1546679968.455 * [misc]backup-simplify: Simplify 1 into 1 1546679968.455 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.455 * [misc]backup-simplify: Simplify PI into PI 1546679968.455 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679968.456 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679968.456 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.456 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679968.457 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.458 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546679968.459 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546679968.459 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679968.459 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546679968.459 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679968.460 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.460 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.461 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1546679968.461 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1546679968.462 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1546679968.462 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679968.462 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.462 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.462 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.462 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.462 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.462 * [misc]backup-simplify: Simplify 0 into 0 1546679968.463 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679968.464 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546679968.465 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679968.466 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546679968.466 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546679968.467 * [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)))))))) 1546679968.468 * [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)))))))) 1546679968.469 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679968.470 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679968.471 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679968.473 * [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)))))))))) 1546679968.475 * [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))))))) 1546679968.477 * [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))))))) 1546679968.478 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679968.479 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546679968.481 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546679968.483 * [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)))) 1546679968.487 * [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)))) 1546679968.489 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546679968.490 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546679968.497 * [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))))))))))))) 1546679968.497 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt (/ 1 k))) (/ 1 (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1546679968.497 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k n) around 0 1546679968.497 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1546679968.497 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679968.497 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679968.497 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679968.497 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679968.497 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.497 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.497 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.497 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.497 * [misc]taylor: Taking taylor expansion of k in n 1546679968.498 * [misc]backup-simplify: Simplify k into k 1546679968.498 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.498 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679968.498 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679968.498 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.498 * [misc]backup-simplify: Simplify 2 into 2 1546679968.498 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.498 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.498 * [misc]backup-simplify: Simplify PI into PI 1546679968.498 * [misc]taylor: Taking taylor expansion of n in n 1546679968.498 * [misc]backup-simplify: Simplify 0 into 0 1546679968.498 * [misc]backup-simplify: Simplify 1 into 1 1546679968.498 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.499 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.499 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.499 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.499 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679968.500 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679968.500 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.501 * [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))) 1546679968.501 * [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)))) 1546679968.501 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546679968.501 * [misc]taylor: Taking taylor expansion of k in n 1546679968.501 * [misc]backup-simplify: Simplify k into k 1546679968.502 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546679968.502 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546679968.502 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.502 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.502 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of k in k 1546679968.502 * [misc]backup-simplify: Simplify 0 into 0 1546679968.502 * [misc]backup-simplify: Simplify 1 into 1 1546679968.502 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.502 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of 2 in k 1546679968.502 * [misc]backup-simplify: Simplify 2 into 2 1546679968.502 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679968.502 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.502 * [misc]backup-simplify: Simplify PI into PI 1546679968.502 * [misc]taylor: Taking taylor expansion of n in k 1546679968.502 * [misc]backup-simplify: Simplify n into n 1546679968.503 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679968.503 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679968.503 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679968.503 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679968.503 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679968.503 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679968.503 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679968.503 * [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)))) 1546679968.504 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679968.504 * [misc]taylor: Taking taylor expansion of k in k 1546679968.504 * [misc]backup-simplify: Simplify 0 into 0 1546679968.504 * [misc]backup-simplify: Simplify 1 into 1 1546679968.504 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.504 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679968.504 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1546679968.504 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679968.504 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546679968.504 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546679968.504 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679968.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679968.505 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.505 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.505 * [misc]taylor: Taking taylor expansion of k in k 1546679968.505 * [misc]backup-simplify: Simplify 0 into 0 1546679968.505 * [misc]backup-simplify: Simplify 1 into 1 1546679968.505 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.505 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546679968.505 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546679968.505 * [misc]taylor: Taking taylor expansion of 2 in k 1546679968.505 * [misc]backup-simplify: Simplify 2 into 2 1546679968.505 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679968.505 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.505 * [misc]backup-simplify: Simplify PI into PI 1546679968.505 * [misc]taylor: Taking taylor expansion of n in k 1546679968.505 * [misc]backup-simplify: Simplify n into n 1546679968.505 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679968.505 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546679968.505 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546679968.505 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679968.506 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679968.506 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679968.506 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546679968.506 * [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)))) 1546679968.506 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679968.506 * [misc]taylor: Taking taylor expansion of k in k 1546679968.506 * [misc]backup-simplify: Simplify 0 into 0 1546679968.506 * [misc]backup-simplify: Simplify 1 into 1 1546679968.506 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.507 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679968.507 * [misc]backup-simplify: Simplify (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0 1546679968.507 * [misc]taylor: Taking taylor expansion of 0 in n 1546679968.507 * [misc]backup-simplify: Simplify 0 into 0 1546679968.507 * [misc]backup-simplify: Simplify 0 into 0 1546679968.508 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546679968.508 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.508 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.508 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.508 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.508 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of k in n 1546679968.508 * [misc]backup-simplify: Simplify k into k 1546679968.508 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.508 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.508 * [misc]backup-simplify: Simplify 2 into 2 1546679968.508 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.508 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.508 * [misc]backup-simplify: Simplify PI into PI 1546679968.508 * [misc]taylor: Taking taylor expansion of n in n 1546679968.508 * [misc]backup-simplify: Simplify 0 into 0 1546679968.508 * [misc]backup-simplify: Simplify 1 into 1 1546679968.509 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.509 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.509 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.510 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.510 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679968.510 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679968.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.511 * [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))) 1546679968.512 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546679968.512 * [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))))) 1546679968.513 * [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)))))) 1546679968.514 * [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)))))) 1546679968.514 * [misc]backup-simplify: Simplify 0 into 0 1546679968.516 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679968.516 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546679968.516 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.517 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.517 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.517 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of k in n 1546679968.517 * [misc]backup-simplify: Simplify k into k 1546679968.517 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.517 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.517 * [misc]backup-simplify: Simplify 2 into 2 1546679968.517 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.517 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.517 * [misc]backup-simplify: Simplify PI into PI 1546679968.517 * [misc]taylor: Taking taylor expansion of n in n 1546679968.517 * [misc]backup-simplify: Simplify 0 into 0 1546679968.517 * [misc]backup-simplify: Simplify 1 into 1 1546679968.518 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.518 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.518 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.518 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.519 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679968.519 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679968.519 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.520 * [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))) 1546679968.521 * [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)))) 1546679968.521 * [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))))) 1546679968.522 * [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)))))) 1546679968.523 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1546679968.524 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679968.524 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546679968.527 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546679968.527 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679968.528 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679968.528 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.528 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.529 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.529 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546679968.531 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679968.532 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546679968.532 * [misc]backup-simplify: Simplify (- 0) into 0 1546679968.532 * [misc]backup-simplify: Simplify 0 into 0 1546679968.532 * [misc]backup-simplify: Simplify 0 into 0 1546679968.533 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679968.533 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546679968.533 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.533 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.533 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.533 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of k in n 1546679968.533 * [misc]backup-simplify: Simplify k into k 1546679968.533 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.533 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of 2 in n 1546679968.533 * [misc]backup-simplify: Simplify 2 into 2 1546679968.533 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.533 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.533 * [misc]backup-simplify: Simplify PI into PI 1546679968.533 * [misc]taylor: Taking taylor expansion of n in n 1546679968.533 * [misc]backup-simplify: Simplify 0 into 0 1546679968.533 * [misc]backup-simplify: Simplify 1 into 1 1546679968.534 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.534 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546679968.534 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546679968.534 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.534 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679968.534 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679968.535 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546679968.535 * [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))) 1546679968.535 * [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)))) 1546679968.536 * [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))))) 1546679968.536 * [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)))))) 1546679968.537 * [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)))))) 1546679968.538 * [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)))))))) 1546679968.539 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt (/ 1 (- k)))) (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546679968.539 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546679968.539 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of k in n 1546679968.539 * [misc]backup-simplify: Simplify k into k 1546679968.539 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.539 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of -2 in n 1546679968.539 * [misc]backup-simplify: Simplify -2 into -2 1546679968.539 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.539 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.539 * [misc]backup-simplify: Simplify PI into PI 1546679968.539 * [misc]taylor: Taking taylor expansion of n in n 1546679968.539 * [misc]backup-simplify: Simplify 0 into 0 1546679968.539 * [misc]backup-simplify: Simplify 1 into 1 1546679968.539 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.539 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679968.540 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679968.540 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.540 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679968.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.541 * [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))) 1546679968.541 * [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)))) 1546679968.541 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546679968.541 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546679968.541 * [misc]taylor: Taking taylor expansion of -1 in n 1546679968.541 * [misc]backup-simplify: Simplify -1 into -1 1546679968.541 * [misc]taylor: Taking taylor expansion of k in n 1546679968.541 * [misc]backup-simplify: Simplify k into k 1546679968.541 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546679968.541 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546679968.541 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546679968.541 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546679968.542 * [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))) 1546679968.542 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of k in k 1546679968.542 * [misc]backup-simplify: Simplify 0 into 0 1546679968.542 * [misc]backup-simplify: Simplify 1 into 1 1546679968.542 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.542 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of -2 in k 1546679968.542 * [misc]backup-simplify: Simplify -2 into -2 1546679968.542 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679968.542 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.542 * [misc]backup-simplify: Simplify PI into PI 1546679968.542 * [misc]taylor: Taking taylor expansion of n in k 1546679968.542 * [misc]backup-simplify: Simplify n into n 1546679968.543 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679968.543 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679968.543 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679968.543 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679968.543 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679968.543 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679968.543 * [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))) 1546679968.543 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679968.543 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679968.543 * [misc]taylor: Taking taylor expansion of -1 in k 1546679968.543 * [misc]backup-simplify: Simplify -1 into -1 1546679968.543 * [misc]taylor: Taking taylor expansion of k in k 1546679968.543 * [misc]backup-simplify: Simplify 0 into 0 1546679968.543 * [misc]backup-simplify: Simplify 1 into 1 1546679968.543 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679968.543 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.544 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679968.544 * [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)))) 1546679968.544 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of k in k 1546679968.544 * [misc]backup-simplify: Simplify 0 into 0 1546679968.544 * [misc]backup-simplify: Simplify 1 into 1 1546679968.544 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679968.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679968.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.544 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of -2 in k 1546679968.544 * [misc]backup-simplify: Simplify -2 into -2 1546679968.544 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546679968.544 * [misc]taylor: Taking taylor expansion of PI in k 1546679968.544 * [misc]backup-simplify: Simplify PI into PI 1546679968.544 * [misc]taylor: Taking taylor expansion of n in k 1546679968.544 * [misc]backup-simplify: Simplify n into n 1546679968.545 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546679968.545 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546679968.545 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546679968.545 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679968.545 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679968.545 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546679968.545 * [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))) 1546679968.545 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679968.545 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679968.545 * [misc]taylor: Taking taylor expansion of -1 in k 1546679968.545 * [misc]backup-simplify: Simplify -1 into -1 1546679968.545 * [misc]taylor: Taking taylor expansion of k in k 1546679968.545 * [misc]backup-simplify: Simplify 0 into 0 1546679968.545 * [misc]backup-simplify: Simplify 1 into 1 1546679968.545 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679968.545 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679968.546 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679968.546 * [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)))) 1546679968.546 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679968.546 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.546 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.546 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679968.546 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679968.546 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679968.546 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679968.546 * [misc]taylor: Taking taylor expansion of -2 in n 1546679968.546 * [misc]backup-simplify: Simplify -2 into -2 1546679968.546 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.546 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.546 * [misc]backup-simplify: Simplify PI into PI 1546679968.546 * [misc]taylor: Taking taylor expansion of n in n 1546679968.546 * [misc]backup-simplify: Simplify 0 into 0 1546679968.546 * [misc]backup-simplify: Simplify 1 into 1 1546679968.546 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.547 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679968.547 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679968.547 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679968.547 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.547 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.547 * [misc]taylor: Taking taylor expansion of k in n 1546679968.547 * [misc]backup-simplify: Simplify k into k 1546679968.547 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.547 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.547 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.548 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.548 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679968.548 * [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))) 1546679968.548 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546679968.549 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546679968.549 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546679968.549 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546679968.550 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679968.550 * [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))))) 1546679968.551 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546679968.551 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679968.551 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.551 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.551 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679968.551 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679968.551 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679968.551 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679968.551 * [misc]taylor: Taking taylor expansion of -2 in n 1546679968.551 * [misc]backup-simplify: Simplify -2 into -2 1546679968.551 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.551 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.551 * [misc]backup-simplify: Simplify PI into PI 1546679968.551 * [misc]taylor: Taking taylor expansion of n in n 1546679968.551 * [misc]backup-simplify: Simplify 0 into 0 1546679968.551 * [misc]backup-simplify: Simplify 1 into 1 1546679968.551 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.551 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679968.552 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679968.552 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679968.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.552 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.552 * [misc]taylor: Taking taylor expansion of k in n 1546679968.552 * [misc]backup-simplify: Simplify k into k 1546679968.552 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.553 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.553 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.553 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679968.554 * [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))) 1546679968.554 * [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)))) 1546679968.555 * [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))))) 1546679968.556 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1546679968.556 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1546679968.557 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.557 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679968.557 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679968.558 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679968.559 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546679968.559 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546679968.562 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546679968.563 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546679968.564 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679968.565 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1546679968.565 * [misc]backup-simplify: Simplify 0 into 0 1546679968.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679968.567 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679968.568 * [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))))) 1546679968.568 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546679968.568 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679968.568 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679968.568 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679968.568 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679968.568 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679968.568 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546679968.568 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546679968.568 * [misc]taylor: Taking taylor expansion of -2 in n 1546679968.568 * [misc]backup-simplify: Simplify -2 into -2 1546679968.568 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546679968.568 * [misc]taylor: Taking taylor expansion of PI in n 1546679968.568 * [misc]backup-simplify: Simplify PI into PI 1546679968.568 * [misc]taylor: Taking taylor expansion of n in n 1546679968.568 * [misc]backup-simplify: Simplify 0 into 0 1546679968.568 * [misc]backup-simplify: Simplify 1 into 1 1546679968.569 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546679968.569 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546679968.569 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546679968.569 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679968.569 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679968.569 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.569 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679968.569 * [misc]taylor: Taking taylor expansion of k in n 1546679968.570 * [misc]backup-simplify: Simplify k into k 1546679968.570 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679968.570 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679968.570 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679968.570 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546679968.570 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679968.570 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679968.571 * [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))) 1546679968.572 * [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)))) 1546679968.572 * [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))))) 1546679968.573 * [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)))))) 1546679968.574 * [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)))))) 1546679968.576 * [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))))))))))) 1546679968.577 * * * [misc]progress: simplifying candidates 1546679968.577 * * * * [misc]progress: [ 1 / 105 ] simplifiying candidate # 1546679968.577 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546679968.577 * * [misc]simplify: iters left: 6 (11 enodes) 1546679968.581 * * [misc]simplify: iters left: 5 (21 enodes) 1546679968.588 * * [misc]simplify: iters left: 4 (47 enodes) 1546679968.607 * * [misc]simplify: iters left: 3 (109 enodes) 1546679968.637 * * [misc]simplify: iters left: 2 (300 enodes) 1546679968.795 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546679968.795 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1546679968.795 * * * * [misc]progress: [ 2 / 105 ] simplifiying candidate # 1546679968.795 * * * * [misc]progress: [ 3 / 105 ] simplifiying candidate # 1546679968.796 * [enter]simplify: Simplifying (* PI (* n 2)) 1546679968.796 * * [misc]simplify: iters left: 4 (5 enodes) 1546679968.797 * * [misc]simplify: iters left: 3 (9 enodes) 1546679968.798 * * [misc]simplify: iters left: 2 (15 enodes) 1546679968.800 * * [misc]simplify: iters left: 1 (17 enodes) 1546679968.803 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546679968.803 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1546679968.803 * * * * [misc]progress: [ 4 / 105 ] simplifiying candidate # 1546679968.803 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546679968.803 * * [misc]simplify: iters left: 5 (8 enodes) 1546679968.804 * * [misc]simplify: iters left: 4 (12 enodes) 1546679968.806 * * [misc]simplify: iters left: 3 (18 enodes) 1546679968.809 * * [misc]simplify: iters left: 2 (20 enodes) 1546679968.812 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546679968.812 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1546679968.812 * * * * [misc]progress: [ 5 / 105 ] simplifiying candidate # 1546679968.812 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546679968.812 * * [misc]simplify: iters left: 5 (6 enodes) 1546679968.813 * * [misc]simplify: iters left: 4 (8 enodes) 1546679968.814 * * [misc]simplify: iters left: 3 (11 enodes) 1546679968.816 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546679968.816 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1546679968.816 * * * * [misc]progress: [ 6 / 105 ] simplifiying candidate # 1546679968.816 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546679968.816 * * [misc]simplify: iters left: 5 (6 enodes) 1546679968.817 * * [misc]simplify: iters left: 4 (8 enodes) 1546679968.818 * * [misc]simplify: iters left: 3 (11 enodes) 1546679968.820 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546679968.820 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1546679968.820 * * * * [misc]progress: [ 7 / 105 ] simplifiying candidate # 1546679968.820 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546679968.820 * * [misc]simplify: iters left: 4 (5 enodes) 1546679968.821 * * [misc]simplify: iters left: 3 (7 enodes) 1546679968.822 * * [misc]simplify: iters left: 2 (10 enodes) 1546679968.824 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546679968.824 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1546679968.824 * * * * [misc]progress: [ 8 / 105 ] simplifiying candidate # 1546679968.824 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546679968.824 * * [misc]simplify: iters left: 5 (9 enodes) 1546679968.826 * * [misc]simplify: iters left: 4 (15 enodes) 1546679968.828 * * [misc]simplify: iters left: 3 (21 enodes) 1546679968.831 * * [misc]simplify: iters left: 2 (22 enodes) 1546679968.834 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546679968.834 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546679968.834 * * * * [misc]progress: [ 9 / 105 ] simplifiying candidate # 1546679968.834 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546679968.834 * * [misc]simplify: iters left: 5 (9 enodes) 1546679968.836 * * [misc]simplify: iters left: 4 (15 enodes) 1546679968.838 * * [misc]simplify: iters left: 3 (21 enodes) 1546679968.841 * * [misc]simplify: iters left: 2 (22 enodes) 1546679968.844 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546679968.844 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546679968.844 * * * * [misc]progress: [ 10 / 105 ] simplifiying candidate # 1546679968.844 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546679968.844 * * [misc]simplify: iters left: 5 (7 enodes) 1546679968.845 * * [misc]simplify: iters left: 4 (9 enodes) 1546679968.846 * * [misc]simplify: iters left: 3 (12 enodes) 1546679968.848 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546679968.848 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546679968.848 * * * * [misc]progress: [ 11 / 105 ] simplifiying candidate # 1546679968.848 * * * * [misc]progress: [ 12 / 105 ] simplifiying candidate # 1546679968.848 * * * * [misc]progress: [ 13 / 105 ] simplifiying candidate # 1546679968.848 * * * * [misc]progress: [ 14 / 105 ] simplifiying candidate # 1546679968.848 * * * * [misc]progress: [ 15 / 105 ] simplifiying candidate # 1546679968.848 * * * * [misc]progress: [ 16 / 105 ] simplifiying candidate # 1546679968.849 * * * * [misc]progress: [ 17 / 105 ] simplifiying candidate # 1546679968.849 * * * * [misc]progress: [ 18 / 105 ] simplifiying candidate # 1546679968.849 * * * * [misc]progress: [ 19 / 105 ] simplifiying candidate # 1546679968.849 * [enter]simplify: Simplifying (- 1/2) 1546679968.849 * * [misc]simplify: iters left: 2 (2 enodes) 1546679968.849 * * [misc]simplify: iters left: 1 (3 enodes) 1546679968.850 * [exit]simplify: Simplified to -1/2 1546679968.850 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679968.850 * * * * [misc]progress: [ 20 / 105 ] simplifiying candidate # 1546679968.850 * [enter]simplify: Simplifying (- 1) 1546679968.850 * * [misc]simplify: iters left: 2 (2 enodes) 1546679968.851 * * [misc]simplify: iters left: 1 (5 enodes) 1546679968.853 * [exit]simplify: Simplified to -1 1546679968.853 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (sqrt k) -1) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679968.853 * * * * [misc]progress: [ 21 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 22 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 23 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 24 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 25 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 26 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 27 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 28 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 29 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 30 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 31 / 105 ] simplifiying candidate # 1546679968.853 * * * * [misc]progress: [ 32 / 105 ] simplifiying candidate # 1546679968.854 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546679968.854 * * [misc]simplify: iters left: 2 (3 enodes) 1546679968.854 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546679968.854 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679968.854 * * * * [misc]progress: [ 33 / 105 ] simplifiying candidate # 1546679968.854 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546679968.854 * * [misc]simplify: iters left: 2 (3 enodes) 1546679968.855 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546679968.855 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679968.855 * * * * [misc]progress: [ 34 / 105 ] simplifiying candidate # 1546679968.855 * [enter]simplify: Simplifying (sqrt k) 1546679968.855 * * [misc]simplify: iters left: 1 (2 enodes) 1546679968.855 * [exit]simplify: Simplified to (sqrt k) 1546679968.855 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 1) (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679968.855 * * * * [misc]progress: [ 35 / 105 ] simplifiying candidate # 1546679968.855 * * * * [misc]progress: [ 36 / 105 ] simplifiying candidate # 1546679968.855 * * * * [misc]progress: [ 37 / 105 ] simplifiying candidate # 1546679968.855 * * * * [misc]progress: [ 38 / 105 ] simplifiying candidate # 1546679968.855 * * * * [misc]progress: [ 39 / 105 ] simplifiying candidate # 1546679968.856 * * * * [misc]progress: [ 40 / 105 ] simplifiying candidate # 1546679968.856 * * * * [misc]progress: [ 41 / 105 ] simplifiying candidate # 1546679968.856 * * * * [misc]progress: [ 42 / 105 ] simplifiying candidate # 1546679968.856 * * * * [misc]progress: [ 43 / 105 ] simplifiying candidate # 1546679968.856 * * * * [misc]progress: [ 44 / 105 ] simplifiying candidate # 1546679968.856 * * * * [misc]progress: [ 45 / 105 ] simplifiying candidate # 1546679968.856 * [enter]simplify: Simplifying (- (- (log (sqrt k))) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1546679968.856 * * [misc]simplify: iters left: 6 (16 enodes) 1546679968.859 * * [misc]simplify: iters left: 5 (32 enodes) 1546679968.865 * * [misc]simplify: iters left: 4 (80 enodes) 1546679968.883 * * [misc]simplify: iters left: 3 (234 enodes) 1546679968.965 * [exit]simplify: Simplified to (- (- (log (sqrt k))) (* (+ (/ k 2) -1/2) (log (* (* n 2) PI)))) 1546679968.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k))) (* (+ (/ k 2) -1/2) (log (* (* n 2) PI)))))) 1546679968.965 * * * * [misc]progress: [ 46 / 105 ] simplifiying candidate # 1546679968.965 * [enter]simplify: Simplifying (- (- (log (sqrt k))) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1546679968.965 * * [misc]simplify: iters left: 6 (16 enodes) 1546679968.968 * * [misc]simplify: iters left: 5 (32 enodes) 1546679968.974 * * [misc]simplify: iters left: 4 (80 enodes) 1546679968.993 * * [misc]simplify: iters left: 3 (234 enodes) 1546679969.067 * [exit]simplify: Simplified to (- (- (log (sqrt k))) (* (+ (/ k 2) -1/2) (log (* (* n 2) PI)))) 1546679969.067 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k))) (* (+ (/ k 2) -1/2) (log (* (* n 2) PI)))))) 1546679969.067 * * * * [misc]progress: [ 47 / 105 ] simplifiying candidate # 1546679969.067 * [enter]simplify: Simplifying (- (- (log (sqrt k))) (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679969.067 * * [misc]simplify: iters left: 6 (16 enodes) 1546679969.070 * * [misc]simplify: iters left: 5 (26 enodes) 1546679969.074 * * [misc]simplify: iters left: 4 (49 enodes) 1546679969.083 * * [misc]simplify: iters left: 3 (113 enodes) 1546679969.145 * * [misc]simplify: iters left: 2 (411 enodes) 1546679969.405 * [exit]simplify: Simplified to (- (- (log (sqrt k))) (* (log (* (* PI n) 2)) (+ (/ k 2) -1/2))) 1546679969.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k))) (* (log (* (* PI n) 2)) (+ (/ k 2) -1/2))))) 1546679969.405 * * * * [misc]progress: [ 48 / 105 ] simplifiying candidate # 1546679969.406 * [enter]simplify: Simplifying (- (- (log (sqrt k))) (log (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679969.406 * * [misc]simplify: iters left: 6 (17 enodes) 1546679969.412 * * [misc]simplify: iters left: 5 (31 enodes) 1546679969.421 * * [misc]simplify: iters left: 4 (44 enodes) 1546679969.434 * * [misc]simplify: iters left: 3 (67 enodes) 1546679969.453 * * [misc]simplify: iters left: 2 (162 enodes) 1546679969.533 * [exit]simplify: Simplified to (- (- (log (sqrt k))) (* (log (* (* PI n) 2)) (+ -1/2 (/ k 2)))) 1546679969.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k))) (* (log (* (* PI n) 2)) (+ -1/2 (/ k 2)))))) 1546679969.534 * * * * [misc]progress: [ 49 / 105 ] simplifiying candidate # 1546679969.534 * [enter]simplify: Simplifying (- (log (/ 1 (sqrt k))) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1546679969.534 * * [misc]simplify: iters left: 6 (17 enodes) 1546679969.541 * * [misc]simplify: iters left: 5 (39 enodes) 1546679969.554 * * [misc]simplify: iters left: 4 (87 enodes) 1546679969.591 * * [misc]simplify: iters left: 3 (241 enodes) 1546679969.710 * [exit]simplify: Simplified to (+ (- (log (sqrt k))) (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2)))) 1546679969.710 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2)))))) 1546679969.710 * * * * [misc]progress: [ 50 / 105 ] simplifiying candidate # 1546679969.710 * [enter]simplify: Simplifying (- (log (/ 1 (sqrt k))) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1546679969.711 * * [misc]simplify: iters left: 6 (17 enodes) 1546679969.717 * * [misc]simplify: iters left: 5 (39 enodes) 1546679969.734 * * [misc]simplify: iters left: 4 (87 enodes) 1546679969.753 * * [misc]simplify: iters left: 3 (241 enodes) 1546679969.854 * [exit]simplify: Simplified to (+ (- (log (sqrt k))) (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2)))) 1546679969.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2)))))) 1546679969.854 * * * * [misc]progress: [ 51 / 105 ] simplifiying candidate # 1546679969.854 * [enter]simplify: Simplifying (- (log (/ 1 (sqrt k))) (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679969.854 * * [misc]simplify: iters left: 6 (17 enodes) 1546679969.857 * * [misc]simplify: iters left: 5 (33 enodes) 1546679969.863 * * [misc]simplify: iters left: 4 (56 enodes) 1546679969.872 * * [misc]simplify: iters left: 3 (120 enodes) 1546679969.910 * * [misc]simplify: iters left: 2 (418 enodes) 1546679970.122 * [exit]simplify: Simplified to (+ (- (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) 1546679970.122 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))))) 1546679970.122 * * * * [misc]progress: [ 52 / 105 ] simplifiying candidate # 1546679970.123 * [enter]simplify: Simplifying (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679970.123 * * [misc]simplify: iters left: 6 (17 enodes) 1546679970.126 * * [misc]simplify: iters left: 5 (34 enodes) 1546679970.131 * * [misc]simplify: iters left: 4 (47 enodes) 1546679970.138 * * [misc]simplify: iters left: 3 (71 enodes) 1546679970.159 * * [misc]simplify: iters left: 2 (166 enodes) 1546679970.286 * [exit]simplify: Simplified to (+ (- (log (sqrt k))) (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2)))) 1546679970.287 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2)))))) 1546679970.287 * * * * [misc]progress: [ 53 / 105 ] simplifiying candidate # 1546679970.287 * * * * [misc]progress: [ 54 / 105 ] simplifiying candidate # 1546679970.287 * * * * [misc]progress: [ 55 / 105 ] simplifiying candidate # 1546679970.287 * [enter]simplify: Simplifying (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679970.287 * * [misc]simplify: iters left: 6 (19 enodes) 1546679970.291 * * [misc]simplify: iters left: 5 (48 enodes) 1546679970.310 * * [misc]simplify: iters left: 4 (123 enodes) 1546679970.375 * * [misc]simplify: iters left: 3 (405 enodes) 1546679971.645 * [exit]simplify: Simplified to (* (* (/ (/ 1 (sqrt k)) (* (sqrt k) (sqrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546679971.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (/ 1 (sqrt k)) (* (sqrt k) (sqrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 1546679971.645 * * * * [misc]progress: [ 56 / 105 ] simplifiying candidate # 1546679971.645 * * * * [misc]progress: [ 57 / 105 ] simplifiying candidate # 1546679971.646 * * * * [misc]progress: [ 58 / 105 ] simplifiying candidate # 1546679971.646 * * * * [misc]progress: [ 59 / 105 ] simplifiying candidate # 1546679971.646 * * * * [misc]progress: [ 60 / 105 ] simplifiying candidate # 1546679971.646 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679971.646 * * [misc]simplify: iters left: 6 (19 enodes) 1546679971.649 * * [misc]simplify: iters left: 5 (33 enodes) 1546679971.654 * * [misc]simplify: iters left: 4 (51 enodes) 1546679971.662 * * [misc]simplify: iters left: 3 (56 enodes) 1546679971.670 * * [misc]simplify: iters left: 2 (59 enodes) 1546679971.686 * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) 1546679971.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546679971.687 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679971.687 * * [misc]simplify: iters left: 6 (17 enodes) 1546679971.692 * * [misc]simplify: iters left: 5 (25 enodes) 1546679971.699 * * [misc]simplify: iters left: 4 (34 enodes) 1546679971.706 * * [misc]simplify: iters left: 3 (35 enodes) 1546679971.711 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546679971.711 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546679971.711 * * * * [misc]progress: [ 61 / 105 ] simplifiying candidate # 1546679971.711 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679971.711 * * [misc]simplify: iters left: 6 (18 enodes) 1546679971.714 * * [misc]simplify: iters left: 5 (28 enodes) 1546679971.721 * * [misc]simplify: iters left: 4 (39 enodes) 1546679971.726 * * [misc]simplify: iters left: 3 (42 enodes) 1546679971.733 * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546679971.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546679971.733 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679971.734 * * [misc]simplify: iters left: 6 (17 enodes) 1546679971.739 * * [misc]simplify: iters left: 5 (25 enodes) 1546679971.747 * * [misc]simplify: iters left: 4 (34 enodes) 1546679971.756 * * [misc]simplify: iters left: 3 (35 enodes) 1546679971.765 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546679971.766 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546679971.766 * * * * [misc]progress: [ 62 / 105 ] simplifiying candidate # 1546679971.766 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) 1546679971.766 * * [misc]simplify: iters left: 6 (7 enodes) 1546679971.768 * * [misc]simplify: iters left: 5 (11 enodes) 1546679971.772 * * [misc]simplify: iters left: 4 (17 enodes) 1546679971.777 * * [misc]simplify: iters left: 3 (31 enodes) 1546679971.786 * * [misc]simplify: iters left: 2 (57 enodes) 1546679971.802 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1546679971.802 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679971.802 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679971.803 * * [misc]simplify: iters left: 6 (16 enodes) 1546679971.808 * * [misc]simplify: iters left: 5 (26 enodes) 1546679971.816 * * [misc]simplify: iters left: 4 (38 enodes) 1546679971.827 * * [misc]simplify: iters left: 3 (49 enodes) 1546679971.840 * * [misc]simplify: iters left: 2 (51 enodes) 1546679971.851 * * [misc]simplify: iters left: 1 (56 enodes) 1546679971.863 * [exit]simplify: Simplified to (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt k)))) 1546679971.863 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt k)))))) 1546679971.863 * * * * [misc]progress: [ 63 / 105 ] simplifiying candidate # 1546679971.863 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) 1546679971.863 * * [misc]simplify: iters left: 6 (7 enodes) 1546679971.864 * * [misc]simplify: iters left: 5 (11 enodes) 1546679971.866 * * [misc]simplify: iters left: 4 (17 enodes) 1546679971.869 * * [misc]simplify: iters left: 3 (31 enodes) 1546679971.873 * * [misc]simplify: iters left: 2 (57 enodes) 1546679971.881 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1546679971.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679971.882 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679971.882 * * [misc]simplify: iters left: 6 (16 enodes) 1546679971.885 * * [misc]simplify: iters left: 5 (26 enodes) 1546679971.891 * * [misc]simplify: iters left: 4 (38 enodes) 1546679971.902 * * [misc]simplify: iters left: 3 (49 enodes) 1546679971.914 * * [misc]simplify: iters left: 2 (51 enodes) 1546679971.920 * * [misc]simplify: iters left: 1 (56 enodes) 1546679971.926 * [exit]simplify: Simplified to (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt k)))) 1546679971.926 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt k)))))) 1546679971.926 * * * * [misc]progress: [ 64 / 105 ] simplifiying candidate # 1546679971.927 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* PI (* n 2)) 1/2))) 1546679971.927 * * [misc]simplify: iters left: 6 (15 enodes) 1546679971.929 * * [misc]simplify: iters left: 5 (26 enodes) 1546679971.933 * * [misc]simplify: iters left: 4 (39 enodes) 1546679971.939 * * [misc]simplify: iters left: 3 (56 enodes) 1546679971.952 * * [misc]simplify: iters left: 2 (79 enodes) 1546679971.972 * * [misc]simplify: iters left: 1 (138 enodes) 1546679972.007 * [exit]simplify: Simplified to (* (sqrt (* (* n PI) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) 1546679972.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* (* n PI) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (/ (cbrt (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ k 2))))) 1546679972.008 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ k 2))) 1546679972.008 * * [misc]simplify: iters left: 6 (13 enodes) 1546679972.012 * * [misc]simplify: iters left: 5 (19 enodes) 1546679972.018 * * [misc]simplify: iters left: 4 (25 enodes) 1546679972.024 * * [misc]simplify: iters left: 3 (26 enodes) 1546679972.031 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))) 1546679972.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* n PI) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (/ (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))))) 1546679972.031 * * * * [misc]progress: [ 65 / 105 ] simplifiying candidate # 1546679972.032 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679972.032 * * [misc]simplify: iters left: 6 (18 enodes) 1546679972.037 * * [misc]simplify: iters left: 5 (28 enodes) 1546679972.046 * * [misc]simplify: iters left: 4 (37 enodes) 1546679972.056 * * [misc]simplify: iters left: 3 (38 enodes) 1546679972.066 * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679972.066 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546679972.066 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679972.067 * * [misc]simplify: iters left: 6 (17 enodes) 1546679972.072 * * [misc]simplify: iters left: 5 (25 enodes) 1546679972.076 * * [misc]simplify: iters left: 4 (34 enodes) 1546679972.080 * * [misc]simplify: iters left: 3 (35 enodes) 1546679972.086 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546679972.086 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546679972.086 * * * * [misc]progress: [ 66 / 105 ] simplifiying candidate # 1546679972.087 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679972.087 * * [misc]simplify: iters left: 6 (17 enodes) 1546679972.089 * * [misc]simplify: iters left: 5 (25 enodes) 1546679972.093 * * [misc]simplify: iters left: 4 (34 enodes) 1546679972.098 * * [misc]simplify: iters left: 3 (35 enodes) 1546679972.105 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546679972.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546679972.106 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679972.106 * * [misc]simplify: iters left: 6 (17 enodes) 1546679972.109 * * [misc]simplify: iters left: 5 (25 enodes) 1546679972.113 * * [misc]simplify: iters left: 4 (34 enodes) 1546679972.118 * * [misc]simplify: iters left: 3 (35 enodes) 1546679972.122 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546679972.122 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546679972.122 * * * * [misc]progress: [ 67 / 105 ] simplifiying candidate # 1546679972.122 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) 1) 1546679972.123 * * [misc]simplify: iters left: 6 (6 enodes) 1546679972.123 * * [misc]simplify: iters left: 5 (8 enodes) 1546679972.125 * * [misc]simplify: iters left: 4 (10 enodes) 1546679972.126 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1546679972.126 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679972.126 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679972.126 * * [misc]simplify: iters left: 6 (16 enodes) 1546679972.129 * * [misc]simplify: iters left: 5 (26 enodes) 1546679972.133 * * [misc]simplify: iters left: 4 (38 enodes) 1546679972.141 * * [misc]simplify: iters left: 3 (49 enodes) 1546679972.154 * * [misc]simplify: iters left: 2 (51 enodes) 1546679972.164 * * [misc]simplify: iters left: 1 (56 enodes) 1546679972.176 * [exit]simplify: Simplified to (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k)))) 1546679972.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k)))))) 1546679972.176 * * * * [misc]progress: [ 68 / 105 ] simplifiying candidate # 1546679972.176 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) 1) 1546679972.176 * * [misc]simplify: iters left: 6 (6 enodes) 1546679972.177 * * [misc]simplify: iters left: 5 (8 enodes) 1546679972.179 * * [misc]simplify: iters left: 4 (10 enodes) 1546679972.180 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1546679972.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679972.180 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679972.180 * * [misc]simplify: iters left: 6 (16 enodes) 1546679972.183 * * [misc]simplify: iters left: 5 (26 enodes) 1546679972.188 * * [misc]simplify: iters left: 4 (38 enodes) 1546679972.194 * * [misc]simplify: iters left: 3 (49 enodes) 1546679972.200 * * [misc]simplify: iters left: 2 (51 enodes) 1546679972.205 * * [misc]simplify: iters left: 1 (56 enodes) 1546679972.212 * [exit]simplify: Simplified to (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k)))) 1546679972.212 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k)))))) 1546679972.212 * * * * [misc]progress: [ 69 / 105 ] simplifiying candidate # 1546679972.212 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) 1/2))) 1546679972.213 * * [misc]simplify: iters left: 6 (14 enodes) 1546679972.215 * * [misc]simplify: iters left: 5 (23 enodes) 1546679972.218 * * [misc]simplify: iters left: 4 (32 enodes) 1546679972.223 * * [misc]simplify: iters left: 3 (43 enodes) 1546679972.229 * * [misc]simplify: iters left: 2 (45 enodes) 1546679972.233 * * [misc]simplify: iters left: 1 (50 enodes) 1546679972.239 * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (* (* 2 n) PI))) 1546679972.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (* (* 2 n) PI))) (/ (sqrt (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ k 2))))) 1546679972.239 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ k 2))) 1546679972.239 * * [misc]simplify: iters left: 6 (13 enodes) 1546679972.241 * * [misc]simplify: iters left: 5 (19 enodes) 1546679972.244 * * [misc]simplify: iters left: 4 (25 enodes) 1546679972.247 * * [misc]simplify: iters left: 3 (26 enodes) 1546679972.251 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))) 1546679972.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (* (* 2 n) PI))) (/ (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))))) 1546679972.251 * * * * [misc]progress: [ 70 / 105 ] simplifiying candidate # 1546679972.251 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679972.251 * * [misc]simplify: iters left: 6 (15 enodes) 1546679972.254 * * [misc]simplify: iters left: 5 (25 enodes) 1546679972.258 * * [misc]simplify: iters left: 4 (34 enodes) 1546679972.262 * * [misc]simplify: iters left: 3 (35 enodes) 1546679972.267 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1546679972.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546679972.267 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679972.267 * * [misc]simplify: iters left: 6 (16 enodes) 1546679972.271 * * [misc]simplify: iters left: 5 (26 enodes) 1546679972.275 * * [misc]simplify: iters left: 4 (38 enodes) 1546679972.280 * * [misc]simplify: iters left: 3 (39 enodes) 1546679972.285 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679972.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546679972.285 * * * * [misc]progress: [ 71 / 105 ] simplifiying candidate # 1546679972.286 * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679972.286 * * [misc]simplify: iters left: 6 (14 enodes) 1546679972.288 * * [misc]simplify: iters left: 5 (22 enodes) 1546679972.291 * * [misc]simplify: iters left: 4 (31 enodes) 1546679972.295 * * [misc]simplify: iters left: 3 (32 enodes) 1546679972.300 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546679972.300 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546679972.300 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679972.300 * * [misc]simplify: iters left: 6 (16 enodes) 1546679972.303 * * [misc]simplify: iters left: 5 (26 enodes) 1546679972.307 * * [misc]simplify: iters left: 4 (38 enodes) 1546679972.312 * * [misc]simplify: iters left: 3 (39 enodes) 1546679972.317 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679972.317 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546679972.317 * * * * [misc]progress: [ 72 / 105 ] simplifiying candidate # 1546679972.317 * [enter]simplify: Simplifying (/ 1 1) 1546679972.317 * * [misc]simplify: iters left: 2 (2 enodes) 1546679972.318 * * [misc]simplify: iters left: 1 (4 enodes) 1546679972.318 * [exit]simplify: Simplified to 1 1546679972.318 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679972.318 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679972.318 * * [misc]simplify: iters left: 6 (15 enodes) 1546679972.321 * * [misc]simplify: iters left: 5 (27 enodes) 1546679972.325 * * [misc]simplify: iters left: 4 (47 enodes) 1546679972.333 * * [misc]simplify: iters left: 3 (73 enodes) 1546679972.349 * * [misc]simplify: iters left: 2 (121 enodes) 1546679972.374 * * [misc]simplify: iters left: 1 (129 enodes) 1546679972.386 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546679972.386 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546679972.386 * * * * [misc]progress: [ 73 / 105 ] simplifiying candidate # 1546679972.386 * [enter]simplify: Simplifying (/ 1 1) 1546679972.386 * * [misc]simplify: iters left: 2 (2 enodes) 1546679972.387 * * [misc]simplify: iters left: 1 (4 enodes) 1546679972.387 * [exit]simplify: Simplified to 1 1546679972.387 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679972.387 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679972.387 * * [misc]simplify: iters left: 6 (15 enodes) 1546679972.392 * * [misc]simplify: iters left: 5 (27 enodes) 1546679972.401 * * [misc]simplify: iters left: 4 (47 enodes) 1546679972.416 * * [misc]simplify: iters left: 3 (73 enodes) 1546679972.444 * * [misc]simplify: iters left: 2 (121 enodes) 1546679972.485 * * [misc]simplify: iters left: 1 (129 enodes) 1546679972.507 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546679972.507 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546679972.507 * * * * [misc]progress: [ 74 / 105 ] simplifiying candidate # 1546679972.507 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) 1546679972.507 * * [misc]simplify: iters left: 6 (10 enodes) 1546679972.512 * * [misc]simplify: iters left: 5 (19 enodes) 1546679972.517 * * [misc]simplify: iters left: 4 (26 enodes) 1546679972.524 * * [misc]simplify: iters left: 3 (31 enodes) 1546679972.531 * [exit]simplify: Simplified to (sqrt (* (* 2 PI) n)) 1546679972.531 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ k 2))))) 1546679972.531 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ k 2))) 1546679972.532 * * [misc]simplify: iters left: 6 (12 enodes) 1546679972.536 * * [misc]simplify: iters left: 5 (20 enodes) 1546679972.541 * * [misc]simplify: iters left: 4 (29 enodes) 1546679972.549 * * [misc]simplify: iters left: 3 (30 enodes) 1546679972.557 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2))) 1546679972.557 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))) 1546679972.557 * * * * [misc]progress: [ 75 / 105 ] simplifiying candidate # 1546679972.558 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679972.558 * * [misc]simplify: iters left: 6 (15 enodes) 1546679972.563 * * [misc]simplify: iters left: 5 (25 enodes) 1546679972.570 * * [misc]simplify: iters left: 4 (34 enodes) 1546679972.579 * * [misc]simplify: iters left: 3 (35 enodes) 1546679972.589 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1546679972.589 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546679972.589 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679972.590 * * [misc]simplify: iters left: 6 (16 enodes) 1546679972.595 * * [misc]simplify: iters left: 5 (26 enodes) 1546679972.603 * * [misc]simplify: iters left: 4 (38 enodes) 1546679972.613 * * [misc]simplify: iters left: 3 (39 enodes) 1546679972.625 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679972.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546679972.625 * * * * [misc]progress: [ 76 / 105 ] simplifiying candidate # 1546679972.625 * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679972.626 * * [misc]simplify: iters left: 6 (14 enodes) 1546679972.629 * * [misc]simplify: iters left: 5 (22 enodes) 1546679972.632 * * [misc]simplify: iters left: 4 (31 enodes) 1546679972.636 * * [misc]simplify: iters left: 3 (32 enodes) 1546679972.641 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546679972.641 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546679972.641 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679972.641 * * [misc]simplify: iters left: 6 (16 enodes) 1546679972.644 * * [misc]simplify: iters left: 5 (26 enodes) 1546679972.647 * * [misc]simplify: iters left: 4 (38 enodes) 1546679972.653 * * [misc]simplify: iters left: 3 (39 enodes) 1546679972.658 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679972.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546679972.658 * * * * [misc]progress: [ 77 / 105 ] simplifiying candidate # 1546679972.658 * [enter]simplify: Simplifying (/ 1 1) 1546679972.658 * * [misc]simplify: iters left: 2 (2 enodes) 1546679972.659 * * [misc]simplify: iters left: 1 (4 enodes) 1546679972.659 * [exit]simplify: Simplified to 1 1546679972.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679972.659 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679972.659 * * [misc]simplify: iters left: 6 (15 enodes) 1546679972.662 * * [misc]simplify: iters left: 5 (27 enodes) 1546679972.666 * * [misc]simplify: iters left: 4 (47 enodes) 1546679972.674 * * [misc]simplify: iters left: 3 (73 enodes) 1546679972.689 * * [misc]simplify: iters left: 2 (121 enodes) 1546679972.720 * * [misc]simplify: iters left: 1 (129 enodes) 1546679972.731 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546679972.731 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546679972.731 * * * * [misc]progress: [ 78 / 105 ] simplifiying candidate # 1546679972.731 * [enter]simplify: Simplifying (/ 1 1) 1546679972.731 * * [misc]simplify: iters left: 2 (2 enodes) 1546679972.732 * * [misc]simplify: iters left: 1 (4 enodes) 1546679972.732 * [exit]simplify: Simplified to 1 1546679972.732 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546679972.732 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679972.732 * * [misc]simplify: iters left: 6 (15 enodes) 1546679972.735 * * [misc]simplify: iters left: 5 (27 enodes) 1546679972.739 * * [misc]simplify: iters left: 4 (47 enodes) 1546679972.747 * * [misc]simplify: iters left: 3 (73 enodes) 1546679972.762 * * [misc]simplify: iters left: 2 (121 enodes) 1546679972.793 * * [misc]simplify: iters left: 1 (129 enodes) 1546679972.817 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546679972.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546679972.817 * * * * [misc]progress: [ 79 / 105 ] simplifiying candidate # 1546679972.818 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) 1546679972.818 * * [misc]simplify: iters left: 6 (10 enodes) 1546679972.822 * * [misc]simplify: iters left: 5 (19 enodes) 1546679972.827 * * [misc]simplify: iters left: 4 (26 enodes) 1546679972.835 * * [misc]simplify: iters left: 3 (31 enodes) 1546679972.839 * [exit]simplify: Simplified to (sqrt (* (* 2 PI) n)) 1546679972.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ k 2))))) 1546679972.839 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ k 2))) 1546679972.839 * * [misc]simplify: iters left: 6 (12 enodes) 1546679972.841 * * [misc]simplify: iters left: 5 (20 enodes) 1546679972.844 * * [misc]simplify: iters left: 4 (29 enodes) 1546679972.848 * * [misc]simplify: iters left: 3 (30 enodes) 1546679972.853 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2))) 1546679972.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))) 1546679972.853 * * * * [misc]progress: [ 80 / 105 ] simplifiying candidate # 1546679972.853 * * * * [misc]progress: [ 81 / 105 ] simplifiying candidate # 1546679972.853 * * * * [misc]progress: [ 82 / 105 ] simplifiying candidate # 1546679972.853 * * * * [misc]progress: [ 83 / 105 ] simplifiying candidate # 1546679972.853 * [enter]simplify: Simplifying (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679972.853 * * [misc]simplify: iters left: 6 (13 enodes) 1546679972.855 * * [misc]simplify: iters left: 5 (21 enodes) 1546679972.858 * * [misc]simplify: iters left: 4 (30 enodes) 1546679972.862 * * [misc]simplify: iters left: 3 (31 enodes) 1546679972.870 * [exit]simplify: Simplified to (cbrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1546679972.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1546679972.870 * * * * [misc]progress: [ 84 / 105 ] simplifiying candidate # 1546679972.870 * [enter]simplify: Simplifying (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546679972.870 * * [misc]simplify: iters left: 6 (13 enodes) 1546679972.875 * * [misc]simplify: iters left: 5 (21 enodes) 1546679972.881 * * [misc]simplify: iters left: 4 (30 enodes) 1546679972.889 * * [misc]simplify: iters left: 3 (31 enodes) 1546679972.897 * [exit]simplify: Simplified to (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1546679972.897 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1546679972.897 * * * * [misc]progress: [ 85 / 105 ] simplifiying candidate # 1546679972.898 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679972.898 * * [misc]simplify: iters left: 6 (12 enodes) 1546679972.902 * * [misc]simplify: iters left: 5 (20 enodes) 1546679972.908 * * [misc]simplify: iters left: 4 (29 enodes) 1546679972.917 * * [misc]simplify: iters left: 3 (30 enodes) 1546679972.924 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1546679972.925 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546679972.925 * * * * [misc]progress: [ 86 / 105 ] simplifiying candidate # 1546679972.925 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546679972.925 * * [misc]simplify: iters left: 6 (12 enodes) 1546679972.929 * * [misc]simplify: iters left: 5 (20 enodes) 1546679972.937 * * [misc]simplify: iters left: 4 (29 enodes) 1546679972.945 * * [misc]simplify: iters left: 3 (30 enodes) 1546679972.953 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1546679972.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546679972.953 * * * * [misc]progress: [ 87 / 105 ] simplifiying candidate # 1546679972.954 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546679972.954 * * [misc]simplify: iters left: 5 (8 enodes) 1546679972.957 * * [misc]simplify: iters left: 4 (12 enodes) 1546679972.960 * * [misc]simplify: iters left: 3 (18 enodes) 1546679972.963 * * [misc]simplify: iters left: 2 (20 enodes) 1546679972.965 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546679972.965 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1546679972.966 * * * * [misc]progress: [ 88 / 105 ] simplifiying candidate # 1546679972.966 * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1546679972.966 * * [misc]simplify: iters left: 6 (6 enodes) 1546679972.967 * * [misc]simplify: iters left: 5 (8 enodes) 1546679972.968 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1546679972.968 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt k)))))) 1546679972.968 * * * * [misc]progress: [ 89 / 105 ] simplifiying candidate # 1546679972.968 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt k))) 1546679972.968 * * [misc]simplify: iters left: 4 (5 enodes) 1546679972.969 * * [misc]simplify: iters left: 3 (7 enodes) 1546679972.970 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1546679972.970 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))))) 1546679972.970 * * * * [misc]progress: [ 90 / 105 ] simplifiying candidate # 1546679972.970 * * * * [misc]progress: [ 91 / 105 ] simplifiying candidate # 1546679972.970 * * * * [misc]progress: [ 92 / 105 ] simplifiying candidate # 1546679972.970 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546679972.970 * * [misc]simplify: iters left: 5 (10 enodes) 1546679972.972 * * [misc]simplify: iters left: 4 (16 enodes) 1546679972.974 * * [misc]simplify: iters left: 3 (25 enodes) 1546679972.978 * * [misc]simplify: iters left: 2 (26 enodes) 1546679972.981 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546679972.981 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt k)) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546679972.981 * * * * [misc]progress: [ 93 / 105 ] simplifiying candidate # 1546679972.981 * * * * [misc]progress: [ 94 / 105 ] simplifiying candidate # 1546679972.981 * [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))))) 1546679972.982 * * [misc]simplify: iters left: 6 (37 enodes) 1546679972.992 * * [misc]simplify: iters left: 5 (105 enodes) 1546679973.034 * * [misc]simplify: iters left: 4 (339 enodes) 1546679973.257 * [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))))) 1546679973.257 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (+ (+ (* (* (* (* 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)))))))) 1546679973.257 * * * * [misc]progress: [ 95 / 105 ] simplifiying candidate # 1546679973.257 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546679973.258 * * [misc]simplify: iters left: 6 (15 enodes) 1546679973.264 * * [misc]simplify: iters left: 5 (33 enodes) 1546679973.275 * * [misc]simplify: iters left: 4 (64 enodes) 1546679973.300 * * [misc]simplify: iters left: 3 (171 enodes) 1546679973.385 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1546679973.385 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))))) 1546679973.385 * * * * [misc]progress: [ 96 / 105 ] simplifiying candidate # 1546679973.388 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546679973.388 * * [misc]simplify: iters left: 6 (15 enodes) 1546679973.394 * * [misc]simplify: iters left: 5 (30 enodes) 1546679973.405 * * [misc]simplify: iters left: 4 (65 enodes) 1546679973.432 * * [misc]simplify: iters left: 3 (200 enodes) 1546679973.560 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1546679973.560 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))))) 1546679973.560 * * * * [misc]progress: [ 97 / 105 ] simplifiying candidate # 1546679973.560 * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1546679973.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679973.560 * * * * [misc]progress: [ 98 / 105 ] simplifiying candidate # 1546679973.561 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1546679973.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679973.561 * * * * [misc]progress: [ 99 / 105 ] simplifiying candidate # 1546679973.561 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1546679973.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546679973.561 * * * * [misc]progress: [ 100 / 105 ] simplifiying candidate # 1546679973.561 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546679973.561 * * [misc]simplify: iters left: 4 (5 enodes) 1546679973.563 * * [misc]simplify: iters left: 3 (9 enodes) 1546679973.566 * * [misc]simplify: iters left: 2 (15 enodes) 1546679973.570 * * [misc]simplify: iters left: 1 (17 enodes) 1546679973.574 * [exit]simplify: Simplified to (* (* PI n) 2) 1546679973.574 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679973.574 * * * * [misc]progress: [ 101 / 105 ] simplifiying candidate # 1546679973.575 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546679973.575 * * [misc]simplify: iters left: 4 (5 enodes) 1546679973.577 * * [misc]simplify: iters left: 3 (9 enodes) 1546679973.579 * * [misc]simplify: iters left: 2 (15 enodes) 1546679973.584 * * [misc]simplify: iters left: 1 (17 enodes) 1546679973.588 * [exit]simplify: Simplified to (* (* PI n) 2) 1546679973.588 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679973.588 * * * * [misc]progress: [ 102 / 105 ] simplifiying candidate # 1546679973.588 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546679973.588 * * [misc]simplify: iters left: 4 (5 enodes) 1546679973.590 * * [misc]simplify: iters left: 3 (9 enodes) 1546679973.593 * * [misc]simplify: iters left: 2 (15 enodes) 1546679973.597 * * [misc]simplify: iters left: 1 (17 enodes) 1546679973.601 * [exit]simplify: Simplified to (* (* PI n) 2) 1546679973.601 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546679973.601 * * * * [misc]progress: [ 103 / 105 ] simplifiying candidate # 1546679973.602 * [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))))))))))))) 1546679973.602 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546679973.602 * * * * [misc]progress: [ 104 / 105 ] simplifiying candidate # 1546679973.602 * [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)))))))) 1546679973.602 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546679973.602 * * * * [misc]progress: [ 105 / 105 ] simplifiying candidate # 1546679973.603 * [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))))))))))) 1546679973.603 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546679973.603 * * * [misc]progress: adding candidates to table 1546679974.919 * * [misc]progress: iteration 4 / 4 1546679974.919 * * * [misc]progress: picking best candidate 1546679974.967 * * * * [misc]pick: Picked # 1546679974.967 * * * [misc]progress: localizing error 1546679975.011 * * * [misc]progress: generating rewritten candidates 1546679975.011 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546679975.014 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) 1546679975.015 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546679975.024 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546679975.045 * * * [misc]progress: generating series expansions 1546679975.046 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546679975.046 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1546679975.046 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1546679975.046 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546679975.046 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546679975.046 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546679975.046 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.046 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.046 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.046 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.046 * [misc]taylor: Taking taylor expansion of k in k 1546679975.046 * [misc]backup-simplify: Simplify 0 into 0 1546679975.046 * [misc]backup-simplify: Simplify 1 into 1 1546679975.046 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546679975.046 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546679975.046 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.046 * [misc]backup-simplify: Simplify 2 into 2 1546679975.046 * [misc]taylor: Taking taylor expansion of n in k 1546679975.046 * [misc]backup-simplify: Simplify n into n 1546679975.046 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546679975.047 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546679975.047 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.047 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.047 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.047 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546679975.048 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546679975.048 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546679975.048 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546679975.048 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546679975.048 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679975.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.048 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679975.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.048 * [misc]taylor: Taking taylor expansion of k in n 1546679975.048 * [misc]backup-simplify: Simplify k into k 1546679975.048 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546679975.048 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546679975.048 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.048 * [misc]backup-simplify: Simplify 2 into 2 1546679975.048 * [misc]taylor: Taking taylor expansion of n in n 1546679975.048 * [misc]backup-simplify: Simplify 0 into 0 1546679975.048 * [misc]backup-simplify: Simplify 1 into 1 1546679975.048 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679975.048 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546679975.049 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.049 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679975.049 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679975.049 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679975.049 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.049 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546679975.050 * [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)))) 1546679975.050 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546679975.050 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546679975.050 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546679975.050 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679975.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.050 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679975.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.050 * [misc]taylor: Taking taylor expansion of k in n 1546679975.050 * [misc]backup-simplify: Simplify k into k 1546679975.050 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546679975.050 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546679975.050 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.050 * [misc]backup-simplify: Simplify 2 into 2 1546679975.050 * [misc]taylor: Taking taylor expansion of n in n 1546679975.050 * [misc]backup-simplify: Simplify 0 into 0 1546679975.050 * [misc]backup-simplify: Simplify 1 into 1 1546679975.050 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679975.051 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546679975.051 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.051 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679975.051 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679975.051 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679975.052 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.052 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546679975.052 * [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)))) 1546679975.052 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1546679975.052 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1546679975.052 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1546679975.053 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546679975.053 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.053 * [misc]backup-simplify: Simplify 2 into 2 1546679975.053 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.053 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679975.053 * [misc]taylor: Taking taylor expansion of n in k 1546679975.053 * [misc]backup-simplify: Simplify n into n 1546679975.053 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679975.053 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.053 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.053 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.053 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.053 * [misc]taylor: Taking taylor expansion of k in k 1546679975.053 * [misc]backup-simplify: Simplify 0 into 0 1546679975.053 * [misc]backup-simplify: Simplify 1 into 1 1546679975.053 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1546679975.053 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.054 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.054 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.054 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1546679975.054 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546679975.055 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546679975.055 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546679975.057 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546679975.058 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546679975.058 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.058 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.058 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.058 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1546679975.060 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679975.060 * [misc]taylor: Taking taylor expansion of 0 in k 1546679975.060 * [misc]backup-simplify: Simplify 0 into 0 1546679975.060 * [misc]backup-simplify: Simplify 0 into 0 1546679975.060 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679975.060 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.061 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.063 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546679975.064 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546679975.064 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.064 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1546679975.065 * [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))))) 1546679975.066 * [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))))) 1546679975.066 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546679975.071 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546679975.071 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546679975.071 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.071 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.072 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.072 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1546679975.074 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546679975.074 * [misc]taylor: Taking taylor expansion of 0 in k 1546679975.074 * [misc]backup-simplify: Simplify 0 into 0 1546679975.074 * [misc]backup-simplify: Simplify 0 into 0 1546679975.074 * [misc]backup-simplify: Simplify 0 into 0 1546679975.075 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679975.075 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.079 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546679975.081 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546679975.081 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.081 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1546679975.083 * [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))))) 1546679975.085 * [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))))) 1546679975.087 * [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))))) 1546679975.088 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.088 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546679975.088 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679975.088 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546679975.088 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546679975.088 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.088 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.088 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.088 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.088 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.088 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.088 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.088 * [misc]taylor: Taking taylor expansion of k in k 1546679975.088 * [misc]backup-simplify: Simplify 0 into 0 1546679975.088 * [misc]backup-simplify: Simplify 1 into 1 1546679975.088 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.088 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546679975.088 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546679975.088 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.088 * [misc]backup-simplify: Simplify 2 into 2 1546679975.088 * [misc]taylor: Taking taylor expansion of n in k 1546679975.089 * [misc]backup-simplify: Simplify n into n 1546679975.089 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546679975.089 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546679975.089 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.089 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.089 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.089 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546679975.089 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.089 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.089 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.090 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.090 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.090 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.090 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.090 * [misc]taylor: Taking taylor expansion of k in n 1546679975.090 * [misc]backup-simplify: Simplify k into k 1546679975.090 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.090 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.090 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.090 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.090 * [misc]backup-simplify: Simplify 2 into 2 1546679975.090 * [misc]taylor: Taking taylor expansion of n in n 1546679975.090 * [misc]backup-simplify: Simplify 0 into 0 1546679975.090 * [misc]backup-simplify: Simplify 1 into 1 1546679975.090 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.090 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.090 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.091 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.091 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.091 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.091 * [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))) 1546679975.092 * [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)))) 1546679975.092 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.092 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.092 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.092 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.092 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.092 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.092 * [misc]taylor: Taking taylor expansion of k in n 1546679975.092 * [misc]backup-simplify: Simplify k into k 1546679975.092 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.092 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.092 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.092 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.092 * [misc]backup-simplify: Simplify 2 into 2 1546679975.092 * [misc]taylor: Taking taylor expansion of n in n 1546679975.092 * [misc]backup-simplify: Simplify 0 into 0 1546679975.092 * [misc]backup-simplify: Simplify 1 into 1 1546679975.092 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.093 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.093 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.093 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.093 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.093 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.094 * [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))) 1546679975.094 * [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)))) 1546679975.094 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1546679975.094 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1546679975.094 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.094 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.094 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.094 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.094 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.095 * [misc]taylor: Taking taylor expansion of k in k 1546679975.095 * [misc]backup-simplify: Simplify 0 into 0 1546679975.095 * [misc]backup-simplify: Simplify 1 into 1 1546679975.095 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.095 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1546679975.095 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546679975.095 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.095 * [misc]backup-simplify: Simplify 2 into 2 1546679975.095 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.095 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679975.095 * [misc]taylor: Taking taylor expansion of n in k 1546679975.095 * [misc]backup-simplify: Simplify n into n 1546679975.095 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679975.095 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.096 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.096 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.096 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679975.096 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1546679975.096 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1546679975.097 * [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)))) 1546679975.097 * [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)))) 1546679975.097 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546679975.100 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546679975.100 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.100 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679975.101 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.101 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.101 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.101 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546679975.103 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679975.103 * [misc]taylor: Taking taylor expansion of 0 in k 1546679975.103 * [misc]backup-simplify: Simplify 0 into 0 1546679975.103 * [misc]backup-simplify: Simplify 0 into 0 1546679975.103 * [misc]backup-simplify: Simplify 0 into 0 1546679975.104 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679975.108 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546679975.109 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679975.109 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679975.109 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.110 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.110 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1546679975.112 * [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 1546679975.112 * [misc]taylor: Taking taylor expansion of 0 in k 1546679975.112 * [misc]backup-simplify: Simplify 0 into 0 1546679975.112 * [misc]backup-simplify: Simplify 0 into 0 1546679975.112 * [misc]backup-simplify: Simplify 0 into 0 1546679975.112 * [misc]backup-simplify: Simplify 0 into 0 1546679975.113 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679975.120 * [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 1546679975.120 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679975.121 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546679975.121 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.121 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.121 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.122 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1546679975.125 * [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 1546679975.125 * [misc]taylor: Taking taylor expansion of 0 in k 1546679975.125 * [misc]backup-simplify: Simplify 0 into 0 1546679975.125 * [misc]backup-simplify: Simplify 0 into 0 1546679975.126 * [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)))) 1546679975.126 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.126 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546679975.126 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679975.126 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546679975.126 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546679975.126 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.126 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.126 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.126 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.126 * [misc]taylor: Taking taylor expansion of k in k 1546679975.126 * [misc]backup-simplify: Simplify 0 into 0 1546679975.126 * [misc]backup-simplify: Simplify 1 into 1 1546679975.127 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.127 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.127 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546679975.127 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546679975.127 * [misc]taylor: Taking taylor expansion of -2 in k 1546679975.127 * [misc]backup-simplify: Simplify -2 into -2 1546679975.127 * [misc]taylor: Taking taylor expansion of n in k 1546679975.127 * [misc]backup-simplify: Simplify n into n 1546679975.127 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546679975.127 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546679975.127 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.127 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.127 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546679975.127 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.128 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.128 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.128 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.128 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.128 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.128 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.128 * [misc]taylor: Taking taylor expansion of k in n 1546679975.128 * [misc]backup-simplify: Simplify k into k 1546679975.128 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.128 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.128 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.128 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.128 * [misc]backup-simplify: Simplify -2 into -2 1546679975.128 * [misc]taylor: Taking taylor expansion of n in n 1546679975.128 * [misc]backup-simplify: Simplify 0 into 0 1546679975.128 * [misc]backup-simplify: Simplify 1 into 1 1546679975.128 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.128 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.128 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.128 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.128 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.129 * [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))) 1546679975.129 * [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)))) 1546679975.129 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.129 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.129 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.129 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.129 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.129 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.129 * [misc]taylor: Taking taylor expansion of k in n 1546679975.129 * [misc]backup-simplify: Simplify k into k 1546679975.129 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.129 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.129 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.129 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.129 * [misc]backup-simplify: Simplify -2 into -2 1546679975.129 * [misc]taylor: Taking taylor expansion of n in n 1546679975.129 * [misc]backup-simplify: Simplify 0 into 0 1546679975.129 * [misc]backup-simplify: Simplify 1 into 1 1546679975.129 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.129 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.129 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.129 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.130 * [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))) 1546679975.130 * [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)))) 1546679975.130 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1546679975.130 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1546679975.130 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.130 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.130 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.130 * [misc]taylor: Taking taylor expansion of k in k 1546679975.130 * [misc]backup-simplify: Simplify 0 into 0 1546679975.130 * [misc]backup-simplify: Simplify 1 into 1 1546679975.130 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.131 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1546679975.131 * [misc]taylor: Taking taylor expansion of (log -2) in k 1546679975.131 * [misc]taylor: Taking taylor expansion of -2 in k 1546679975.131 * [misc]backup-simplify: Simplify -2 into -2 1546679975.131 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.131 * [misc]taylor: Taking taylor expansion of (log n) in k 1546679975.131 * [misc]taylor: Taking taylor expansion of n in k 1546679975.131 * [misc]backup-simplify: Simplify n into n 1546679975.131 * [misc]backup-simplify: Simplify (log n) into (log n) 1546679975.134 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.135 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.135 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546679975.135 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1546679975.135 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1546679975.135 * [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)))) 1546679975.136 * [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)))) 1546679975.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546679975.137 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546679975.138 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679975.138 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.138 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.138 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546679975.139 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679975.139 * [misc]taylor: Taking taylor expansion of 0 in k 1546679975.139 * [misc]backup-simplify: Simplify 0 into 0 1546679975.139 * [misc]backup-simplify: Simplify 0 into 0 1546679975.139 * [misc]backup-simplify: Simplify 0 into 0 1546679975.139 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679975.142 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1546679975.142 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679975.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546679975.142 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.143 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.143 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1546679975.144 * [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 1546679975.144 * [misc]taylor: Taking taylor expansion of 0 in k 1546679975.144 * [misc]backup-simplify: Simplify 0 into 0 1546679975.144 * [misc]backup-simplify: Simplify 0 into 0 1546679975.144 * [misc]backup-simplify: Simplify 0 into 0 1546679975.144 * [misc]backup-simplify: Simplify 0 into 0 1546679975.145 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679975.149 * [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 1546679975.149 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546679975.149 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546679975.149 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.150 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.150 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1546679975.152 * [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 1546679975.152 * [misc]taylor: Taking taylor expansion of 0 in k 1546679975.152 * [misc]backup-simplify: Simplify 0 into 0 1546679975.152 * [misc]backup-simplify: Simplify 0 into 0 1546679975.152 * [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))))) 1546679975.152 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) 1546679975.152 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1546679975.152 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1546679975.153 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546679975.153 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546679975.153 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546679975.153 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.153 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.153 * [misc]taylor: Taking taylor expansion of k in k 1546679975.153 * [misc]backup-simplify: Simplify 0 into 0 1546679975.153 * [misc]backup-simplify: Simplify 1 into 1 1546679975.153 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.153 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.153 * [misc]backup-simplify: Simplify PI into PI 1546679975.153 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.153 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.153 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.153 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.154 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546679975.154 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546679975.154 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546679975.154 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546679975.154 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546679975.154 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.154 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.154 * [misc]taylor: Taking taylor expansion of k in k 1546679975.154 * [misc]backup-simplify: Simplify 0 into 0 1546679975.154 * [misc]backup-simplify: Simplify 1 into 1 1546679975.154 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.154 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.154 * [misc]backup-simplify: Simplify PI into PI 1546679975.154 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.155 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.155 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.155 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.155 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546679975.156 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546679975.156 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1546679975.157 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546679975.157 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679975.157 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.158 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.158 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546679975.160 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546679975.161 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1546679975.163 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546679975.163 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679975.164 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.164 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.164 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546679975.167 * [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))) 1546679975.168 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1546679975.170 * [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)))) 1546679975.170 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.170 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1546679975.170 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679975.170 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546679975.170 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546679975.170 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.170 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.170 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.170 * [misc]taylor: Taking taylor expansion of k in k 1546679975.170 * [misc]backup-simplify: Simplify 0 into 0 1546679975.170 * [misc]backup-simplify: Simplify 1 into 1 1546679975.170 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.170 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.170 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.170 * [misc]backup-simplify: Simplify PI into PI 1546679975.171 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.171 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.171 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.171 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.171 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546679975.172 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.172 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679975.172 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546679975.172 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546679975.172 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.172 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.172 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.172 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.172 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.172 * [misc]taylor: Taking taylor expansion of k in k 1546679975.172 * [misc]backup-simplify: Simplify 0 into 0 1546679975.172 * [misc]backup-simplify: Simplify 1 into 1 1546679975.172 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.172 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.172 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.172 * [misc]backup-simplify: Simplify PI into PI 1546679975.172 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.172 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.172 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.172 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.173 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546679975.173 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.173 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.173 * [misc]backup-simplify: Simplify 0 into 0 1546679975.173 * [misc]backup-simplify: Simplify 0 into 0 1546679975.173 * [misc]backup-simplify: Simplify 0 into 0 1546679975.173 * [misc]backup-simplify: Simplify 0 into 0 1546679975.173 * [misc]backup-simplify: Simplify 0 into 0 1546679975.173 * [misc]backup-simplify: Simplify 0 into 0 1546679975.173 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1546679975.173 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.173 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1546679975.173 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679975.173 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546679975.173 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546679975.173 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.174 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.174 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.174 * [misc]taylor: Taking taylor expansion of k in k 1546679975.174 * [misc]backup-simplify: Simplify 0 into 0 1546679975.174 * [misc]backup-simplify: Simplify 1 into 1 1546679975.174 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.174 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.174 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.174 * [misc]backup-simplify: Simplify PI into PI 1546679975.174 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.174 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.174 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.175 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546679975.175 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.175 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679975.175 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546679975.175 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546679975.175 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.175 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.175 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.175 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.175 * [misc]taylor: Taking taylor expansion of k in k 1546679975.175 * [misc]backup-simplify: Simplify 0 into 0 1546679975.175 * [misc]backup-simplify: Simplify 1 into 1 1546679975.175 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.175 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.175 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.175 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.175 * [misc]backup-simplify: Simplify PI into PI 1546679975.175 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.175 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.176 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.176 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546679975.176 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.176 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.176 * [misc]backup-simplify: Simplify 0 into 0 1546679975.176 * [misc]backup-simplify: Simplify 0 into 0 1546679975.176 * [misc]backup-simplify: Simplify 0 into 0 1546679975.176 * [misc]backup-simplify: Simplify 0 into 0 1546679975.176 * [misc]backup-simplify: Simplify 0 into 0 1546679975.176 * [misc]backup-simplify: Simplify 0 into 0 1546679975.176 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1546679975.177 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546679975.177 * [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)) 1546679975.177 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546679975.177 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546679975.177 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1546679975.177 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546679975.177 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546679975.177 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546679975.177 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679975.177 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.177 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679975.177 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.177 * [misc]taylor: Taking taylor expansion of k in n 1546679975.177 * [misc]backup-simplify: Simplify k into k 1546679975.177 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546679975.177 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546679975.177 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.177 * [misc]backup-simplify: Simplify 2 into 2 1546679975.177 * [misc]taylor: Taking taylor expansion of n in n 1546679975.177 * [misc]backup-simplify: Simplify 0 into 0 1546679975.177 * [misc]backup-simplify: Simplify 1 into 1 1546679975.177 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679975.177 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546679975.177 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.177 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679975.177 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679975.178 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679975.178 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.178 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546679975.178 * [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)))) 1546679975.178 * [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))))) 1546679975.178 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546679975.178 * [misc]taylor: Taking taylor expansion of k in n 1546679975.178 * [misc]backup-simplify: Simplify k into k 1546679975.178 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546679975.179 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546679975.179 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.179 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.179 * [misc]taylor: Taking taylor expansion of k in k 1546679975.179 * [misc]backup-simplify: Simplify 0 into 0 1546679975.179 * [misc]backup-simplify: Simplify 1 into 1 1546679975.179 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.179 * [misc]backup-simplify: Simplify 2 into 2 1546679975.179 * [misc]taylor: Taking taylor expansion of n in k 1546679975.179 * [misc]backup-simplify: Simplify n into n 1546679975.179 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546679975.179 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546679975.179 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.179 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.179 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.179 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546679975.179 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546679975.179 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546679975.179 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679975.179 * [misc]taylor: Taking taylor expansion of k in k 1546679975.180 * [misc]backup-simplify: Simplify 0 into 0 1546679975.180 * [misc]backup-simplify: Simplify 1 into 1 1546679975.180 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.180 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.180 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546679975.180 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546679975.180 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546679975.180 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546679975.180 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546679975.180 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.180 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.180 * [misc]taylor: Taking taylor expansion of k in k 1546679975.180 * [misc]backup-simplify: Simplify 0 into 0 1546679975.180 * [misc]backup-simplify: Simplify 1 into 1 1546679975.180 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546679975.180 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546679975.180 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.180 * [misc]backup-simplify: Simplify 2 into 2 1546679975.180 * [misc]taylor: Taking taylor expansion of n in k 1546679975.180 * [misc]backup-simplify: Simplify n into n 1546679975.180 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546679975.180 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546679975.181 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.181 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.181 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.181 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546679975.181 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546679975.181 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546679975.181 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679975.181 * [misc]taylor: Taking taylor expansion of k in k 1546679975.181 * [misc]backup-simplify: Simplify 0 into 0 1546679975.181 * [misc]backup-simplify: Simplify 1 into 1 1546679975.181 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.181 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.182 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1546679975.182 * [misc]taylor: Taking taylor expansion of 0 in n 1546679975.182 * [misc]backup-simplify: Simplify 0 into 0 1546679975.182 * [misc]backup-simplify: Simplify 0 into 0 1546679975.182 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546679975.182 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546679975.182 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679975.183 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.183 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.183 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546679975.183 * [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)))) 1546679975.183 * [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)))) 1546679975.184 * [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)))) 1546679975.184 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546679975.184 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546679975.184 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.184 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.184 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546679975.184 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546679975.184 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546679975.184 * [misc]taylor: Taking taylor expansion of n in n 1546679975.184 * [misc]backup-simplify: Simplify 0 into 0 1546679975.184 * [misc]backup-simplify: Simplify 1 into 1 1546679975.184 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.184 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.185 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.185 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546679975.185 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.185 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546679975.185 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546679975.185 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546679975.185 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546679975.186 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546679975.187 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546679975.187 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546679975.187 * [misc]backup-simplify: Simplify 0 into 0 1546679975.188 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679975.188 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546679975.189 * [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 1546679975.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679975.189 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546679975.190 * [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))) 1546679975.191 * [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))))) 1546679975.193 * [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)))))) 1546679975.193 * [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 1546679975.193 * [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 1546679975.193 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1546679975.193 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.194 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.194 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1546679975.194 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1546679975.194 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.194 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.194 * [misc]backup-simplify: Simplify 2 into 2 1546679975.194 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.194 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.194 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1546679975.194 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546679975.194 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546679975.194 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.194 * [misc]backup-simplify: Simplify 2 into 2 1546679975.194 * [misc]taylor: Taking taylor expansion of n in n 1546679975.194 * [misc]backup-simplify: Simplify 0 into 0 1546679975.194 * [misc]backup-simplify: Simplify 1 into 1 1546679975.194 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679975.194 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546679975.194 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.194 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546679975.194 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546679975.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.195 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546679975.195 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546679975.195 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546679975.195 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546679975.195 * [misc]taylor: Taking taylor expansion of n in n 1546679975.195 * [misc]backup-simplify: Simplify 0 into 0 1546679975.195 * [misc]backup-simplify: Simplify 1 into 1 1546679975.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.195 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.195 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.195 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546679975.195 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546679975.195 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.196 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.196 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546679975.196 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546679975.196 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546679975.196 * [misc]taylor: Taking taylor expansion of n in n 1546679975.196 * [misc]backup-simplify: Simplify 0 into 0 1546679975.196 * [misc]backup-simplify: Simplify 1 into 1 1546679975.196 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.196 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.196 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.197 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546679975.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.197 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546679975.197 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546679975.197 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.198 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546679975.199 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1546679975.199 * [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))) 1546679975.200 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.200 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546679975.200 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546679975.203 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546679975.204 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546679975.205 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1546679975.206 * [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))))))) 1546679975.207 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1546679975.211 * [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))))))) 1546679975.211 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546679975.212 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546679975.213 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546679975.214 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546679975.217 * [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))))))))) 1546679975.221 * [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))))))) 1546679975.225 * [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))))))) 1546679975.226 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546679975.227 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546679975.228 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679975.229 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546679975.231 * [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))) 1546679975.231 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546679975.232 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546679975.238 * [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)))))))))))) 1546679975.238 * [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))) 1546679975.238 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1546679975.238 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546679975.238 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679975.238 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.238 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.238 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.238 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.239 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.239 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.239 * [misc]taylor: Taking taylor expansion of k in n 1546679975.239 * [misc]backup-simplify: Simplify k into k 1546679975.239 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.239 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.239 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.239 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.239 * [misc]backup-simplify: Simplify 2 into 2 1546679975.239 * [misc]taylor: Taking taylor expansion of n in n 1546679975.239 * [misc]backup-simplify: Simplify 0 into 0 1546679975.239 * [misc]backup-simplify: Simplify 1 into 1 1546679975.239 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.239 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.240 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.240 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.240 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.240 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.240 * [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))) 1546679975.241 * [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)))) 1546679975.241 * [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))))) 1546679975.241 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546679975.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.241 * [misc]taylor: Taking taylor expansion of k in n 1546679975.241 * [misc]backup-simplify: Simplify k into k 1546679975.241 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.241 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546679975.242 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.242 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546679975.242 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.242 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.242 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of k in k 1546679975.242 * [misc]backup-simplify: Simplify 0 into 0 1546679975.242 * [misc]backup-simplify: Simplify 1 into 1 1546679975.242 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.242 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546679975.242 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.242 * [misc]backup-simplify: Simplify 2 into 2 1546679975.243 * [misc]taylor: Taking taylor expansion of n in k 1546679975.243 * [misc]backup-simplify: Simplify n into n 1546679975.243 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546679975.243 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546679975.243 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.243 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.243 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.243 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546679975.244 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.244 * [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))))) 1546679975.244 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679975.244 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.244 * [misc]taylor: Taking taylor expansion of k in k 1546679975.244 * [misc]backup-simplify: Simplify 0 into 0 1546679975.244 * [misc]backup-simplify: Simplify 1 into 1 1546679975.244 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.244 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.245 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.245 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546679975.245 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546679975.245 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679975.245 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546679975.245 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546679975.245 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.245 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.245 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.245 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.245 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.245 * [misc]taylor: Taking taylor expansion of k in k 1546679975.245 * [misc]backup-simplify: Simplify 0 into 0 1546679975.245 * [misc]backup-simplify: Simplify 1 into 1 1546679975.245 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.246 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546679975.246 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546679975.246 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.246 * [misc]backup-simplify: Simplify 2 into 2 1546679975.246 * [misc]taylor: Taking taylor expansion of n in k 1546679975.246 * [misc]backup-simplify: Simplify n into n 1546679975.246 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546679975.246 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546679975.246 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.246 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.246 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.246 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546679975.247 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.247 * [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))))) 1546679975.247 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679975.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.247 * [misc]taylor: Taking taylor expansion of k in k 1546679975.247 * [misc]backup-simplify: Simplify 0 into 0 1546679975.247 * [misc]backup-simplify: Simplify 1 into 1 1546679975.247 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.247 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.248 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.248 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546679975.248 * [misc]taylor: Taking taylor expansion of 0 in n 1546679975.248 * [misc]backup-simplify: Simplify 0 into 0 1546679975.248 * [misc]backup-simplify: Simplify 0 into 0 1546679975.249 * [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 1546679975.249 * [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))))))) 1546679975.249 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546679975.249 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679975.249 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.249 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.249 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679975.249 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.249 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.249 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.249 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.250 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.250 * [misc]taylor: Taking taylor expansion of k in n 1546679975.250 * [misc]backup-simplify: Simplify k into k 1546679975.250 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.250 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.250 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.250 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.250 * [misc]backup-simplify: Simplify 2 into 2 1546679975.250 * [misc]taylor: Taking taylor expansion of n in n 1546679975.250 * [misc]backup-simplify: Simplify 0 into 0 1546679975.250 * [misc]backup-simplify: Simplify 1 into 1 1546679975.250 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.250 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.250 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.250 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.251 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.251 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.251 * [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))) 1546679975.252 * [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)))) 1546679975.252 * [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))))) 1546679975.252 * [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))))) 1546679975.253 * [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))))))) 1546679975.253 * [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))))))) 1546679975.253 * [misc]backup-simplify: Simplify 0 into 0 1546679975.254 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546679975.255 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679975.255 * [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 1546679975.256 * [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))))))) 1546679975.256 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.256 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.256 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.256 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.256 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of k in n 1546679975.256 * [misc]backup-simplify: Simplify k into k 1546679975.256 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.256 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.256 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.256 * [misc]backup-simplify: Simplify 2 into 2 1546679975.257 * [misc]taylor: Taking taylor expansion of n in n 1546679975.257 * [misc]backup-simplify: Simplify 0 into 0 1546679975.257 * [misc]backup-simplify: Simplify 1 into 1 1546679975.257 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.257 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.257 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.257 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.257 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.258 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.258 * [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))) 1546679975.258 * [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)))) 1546679975.259 * [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))))) 1546679975.259 * [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))))) 1546679975.259 * [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))))))) 1546679975.260 * [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))))))) 1546679975.260 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546679975.263 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546679975.264 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.264 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679975.264 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.265 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.265 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546679975.266 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679975.267 * [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 1546679975.268 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1546679975.268 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.268 * [misc]backup-simplify: Simplify 0 into 0 1546679975.268 * [misc]backup-simplify: Simplify 0 into 0 1546679975.268 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679975.269 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679975.270 * [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 1546679975.270 * [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))))))) 1546679975.271 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.271 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.271 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.271 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.271 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of k in n 1546679975.271 * [misc]backup-simplify: Simplify k into k 1546679975.271 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.271 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.271 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.271 * [misc]backup-simplify: Simplify 2 into 2 1546679975.271 * [misc]taylor: Taking taylor expansion of n in n 1546679975.271 * [misc]backup-simplify: Simplify 0 into 0 1546679975.271 * [misc]backup-simplify: Simplify 1 into 1 1546679975.271 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.272 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.272 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.272 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.272 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.272 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.273 * [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))) 1546679975.273 * [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)))) 1546679975.273 * [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))))) 1546679975.274 * [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))))) 1546679975.274 * [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))))))) 1546679975.275 * [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))))))) 1546679975.276 * [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))))))))))) 1546679975.277 * [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))) 1546679975.277 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546679975.277 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679975.277 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546679975.277 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546679975.277 * [misc]taylor: Taking taylor expansion of -1 in n 1546679975.277 * [misc]backup-simplify: Simplify -1 into -1 1546679975.277 * [misc]taylor: Taking taylor expansion of k in n 1546679975.277 * [misc]backup-simplify: Simplify k into k 1546679975.277 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546679975.277 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546679975.277 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546679975.277 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546679975.277 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.277 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.277 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.277 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.277 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.277 * [misc]taylor: Taking taylor expansion of k in n 1546679975.277 * [misc]backup-simplify: Simplify k into k 1546679975.278 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.278 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.278 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.278 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.278 * [misc]backup-simplify: Simplify -2 into -2 1546679975.278 * [misc]taylor: Taking taylor expansion of n in n 1546679975.278 * [misc]backup-simplify: Simplify 0 into 0 1546679975.278 * [misc]backup-simplify: Simplify 1 into 1 1546679975.278 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.278 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.278 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.278 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.279 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.279 * [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))) 1546679975.279 * [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)))) 1546679975.280 * [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))))) 1546679975.280 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546679975.280 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679975.280 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679975.280 * [misc]taylor: Taking taylor expansion of -1 in k 1546679975.280 * [misc]backup-simplify: Simplify -1 into -1 1546679975.280 * [misc]taylor: Taking taylor expansion of k in k 1546679975.280 * [misc]backup-simplify: Simplify 0 into 0 1546679975.280 * [misc]backup-simplify: Simplify 1 into 1 1546679975.280 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679975.280 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.281 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679975.281 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679975.281 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546679975.281 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546679975.281 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.281 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.281 * [misc]taylor: Taking taylor expansion of k in k 1546679975.281 * [misc]backup-simplify: Simplify 0 into 0 1546679975.281 * [misc]backup-simplify: Simplify 1 into 1 1546679975.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.281 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546679975.281 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546679975.281 * [misc]taylor: Taking taylor expansion of -2 in k 1546679975.281 * [misc]backup-simplify: Simplify -2 into -2 1546679975.281 * [misc]taylor: Taking taylor expansion of n in k 1546679975.281 * [misc]backup-simplify: Simplify n into n 1546679975.282 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546679975.282 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546679975.282 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.282 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.282 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546679975.282 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.282 * [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))) 1546679975.282 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546679975.282 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679975.282 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679975.283 * [misc]taylor: Taking taylor expansion of -1 in k 1546679975.283 * [misc]backup-simplify: Simplify -1 into -1 1546679975.283 * [misc]taylor: Taking taylor expansion of k in k 1546679975.283 * [misc]backup-simplify: Simplify 0 into 0 1546679975.283 * [misc]backup-simplify: Simplify 1 into 1 1546679975.283 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679975.283 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.283 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679975.283 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679975.283 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546679975.283 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546679975.284 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.284 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.284 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.284 * [misc]taylor: Taking taylor expansion of k in k 1546679975.284 * [misc]backup-simplify: Simplify 0 into 0 1546679975.284 * [misc]backup-simplify: Simplify 1 into 1 1546679975.284 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.284 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.284 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546679975.284 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546679975.284 * [misc]taylor: Taking taylor expansion of -2 in k 1546679975.284 * [misc]backup-simplify: Simplify -2 into -2 1546679975.284 * [misc]taylor: Taking taylor expansion of n in k 1546679975.284 * [misc]backup-simplify: Simplify n into n 1546679975.284 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546679975.284 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546679975.284 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.285 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.285 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546679975.285 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.285 * [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))) 1546679975.285 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679975.285 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.285 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.285 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.285 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.285 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.285 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.285 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.285 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.285 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.285 * [misc]taylor: Taking taylor expansion of k in n 1546679975.285 * [misc]backup-simplify: Simplify k into k 1546679975.285 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.286 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.286 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.286 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.286 * [misc]backup-simplify: Simplify -2 into -2 1546679975.286 * [misc]taylor: Taking taylor expansion of n in n 1546679975.286 * [misc]backup-simplify: Simplify 0 into 0 1546679975.286 * [misc]backup-simplify: Simplify 1 into 1 1546679975.286 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.286 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.286 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.286 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.287 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.287 * [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))) 1546679975.287 * [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)))) 1546679975.288 * [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))))) 1546679975.288 * [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))))) 1546679975.288 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546679975.289 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679975.290 * [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))))) 1546679975.290 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.290 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.290 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of k in n 1546679975.290 * [misc]backup-simplify: Simplify k into k 1546679975.290 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.290 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.290 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.290 * [misc]backup-simplify: Simplify -2 into -2 1546679975.291 * [misc]taylor: Taking taylor expansion of n in n 1546679975.291 * [misc]backup-simplify: Simplify 0 into 0 1546679975.291 * [misc]backup-simplify: Simplify 1 into 1 1546679975.291 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.291 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.291 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.291 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.291 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.292 * [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))) 1546679975.292 * [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)))) 1546679975.292 * [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))))) 1546679975.293 * [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))))) 1546679975.293 * [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))))))) 1546679975.294 * [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))))))) 1546679975.294 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546679975.297 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546679975.297 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.297 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679975.297 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.298 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546679975.299 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679975.300 * [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 1546679975.300 * [misc]backup-simplify: Simplify 0 into 0 1546679975.301 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679975.302 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679975.303 * [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))))) 1546679975.303 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546679975.303 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546679975.303 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.303 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.303 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546679975.303 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.303 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.303 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.303 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.303 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.303 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.303 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.303 * [misc]taylor: Taking taylor expansion of k in n 1546679975.303 * [misc]backup-simplify: Simplify k into k 1546679975.303 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.303 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.304 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.304 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.304 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.304 * [misc]backup-simplify: Simplify -2 into -2 1546679975.304 * [misc]taylor: Taking taylor expansion of n in n 1546679975.304 * [misc]backup-simplify: Simplify 0 into 0 1546679975.304 * [misc]backup-simplify: Simplify 1 into 1 1546679975.304 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.304 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.304 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.304 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.305 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.305 * [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))) 1546679975.305 * [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)))) 1546679975.306 * [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))))) 1546679975.306 * [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))))) 1546679975.307 * [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))))))) 1546679975.307 * [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))))))) 1546679975.309 * [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))))))))) 1546679975.309 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546679975.309 * [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))) 1546679975.309 * [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 1546679975.309 * [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 1546679975.309 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1546679975.309 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546679975.309 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546679975.309 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546679975.309 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679975.309 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.310 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679975.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.310 * [misc]taylor: Taking taylor expansion of k in n 1546679975.310 * [misc]backup-simplify: Simplify k into k 1546679975.310 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546679975.310 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546679975.310 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.310 * [misc]backup-simplify: Simplify 2 into 2 1546679975.310 * [misc]taylor: Taking taylor expansion of n in n 1546679975.310 * [misc]backup-simplify: Simplify 0 into 0 1546679975.310 * [misc]backup-simplify: Simplify 1 into 1 1546679975.310 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679975.310 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546679975.310 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.310 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679975.311 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679975.311 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679975.311 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.311 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546679975.312 * [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)))) 1546679975.312 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1546679975.312 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1546679975.312 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1546679975.312 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546679975.312 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.312 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546679975.312 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.312 * [misc]taylor: Taking taylor expansion of k in n 1546679975.312 * [misc]backup-simplify: Simplify k into k 1546679975.312 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.312 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.312 * [misc]backup-simplify: Simplify PI into PI 1546679975.312 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.313 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546679975.313 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546679975.313 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546679975.313 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1546679975.313 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1546679975.313 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546679975.313 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.314 * [misc]taylor: Taking taylor expansion of k in n 1546679975.314 * [misc]backup-simplify: Simplify k into k 1546679975.314 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.314 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546679975.314 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.314 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546679975.314 * [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 1546679975.314 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546679975.314 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546679975.314 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546679975.314 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546679975.314 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.314 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.314 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.314 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.314 * [misc]taylor: Taking taylor expansion of k in k 1546679975.314 * [misc]backup-simplify: Simplify 0 into 0 1546679975.314 * [misc]backup-simplify: Simplify 1 into 1 1546679975.314 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546679975.314 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546679975.314 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.314 * [misc]backup-simplify: Simplify 2 into 2 1546679975.314 * [misc]taylor: Taking taylor expansion of n in k 1546679975.315 * [misc]backup-simplify: Simplify n into n 1546679975.315 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546679975.315 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546679975.315 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.315 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.315 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.315 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546679975.315 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546679975.315 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546679975.315 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546679975.315 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546679975.315 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.316 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.316 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.316 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.316 * [misc]taylor: Taking taylor expansion of k in k 1546679975.316 * [misc]backup-simplify: Simplify 0 into 0 1546679975.316 * [misc]backup-simplify: Simplify 1 into 1 1546679975.316 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.316 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.316 * [misc]backup-simplify: Simplify PI into PI 1546679975.316 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.316 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.316 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.317 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.317 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546679975.318 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546679975.318 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679975.318 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.318 * [misc]taylor: Taking taylor expansion of k in k 1546679975.318 * [misc]backup-simplify: Simplify 0 into 0 1546679975.318 * [misc]backup-simplify: Simplify 1 into 1 1546679975.318 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.318 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.319 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.319 * [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 1546679975.319 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546679975.319 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546679975.319 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546679975.319 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546679975.319 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.319 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.319 * [misc]taylor: Taking taylor expansion of k in k 1546679975.319 * [misc]backup-simplify: Simplify 0 into 0 1546679975.319 * [misc]backup-simplify: Simplify 1 into 1 1546679975.319 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546679975.319 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546679975.319 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.319 * [misc]backup-simplify: Simplify 2 into 2 1546679975.319 * [misc]taylor: Taking taylor expansion of n in k 1546679975.319 * [misc]backup-simplify: Simplify n into n 1546679975.319 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546679975.319 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546679975.320 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.320 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.320 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.320 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546679975.320 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546679975.320 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546679975.320 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546679975.320 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546679975.320 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546679975.320 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.320 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546679975.320 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.320 * [misc]taylor: Taking taylor expansion of k in k 1546679975.320 * [misc]backup-simplify: Simplify 0 into 0 1546679975.320 * [misc]backup-simplify: Simplify 1 into 1 1546679975.321 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.321 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.321 * [misc]backup-simplify: Simplify PI into PI 1546679975.321 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.321 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546679975.321 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.321 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.322 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546679975.323 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546679975.323 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546679975.323 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.323 * [misc]taylor: Taking taylor expansion of k in k 1546679975.323 * [misc]backup-simplify: Simplify 0 into 0 1546679975.323 * [misc]backup-simplify: Simplify 1 into 1 1546679975.323 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.323 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.324 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.324 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1546679975.324 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1546679975.324 * [misc]taylor: Taking taylor expansion of 0 in n 1546679975.324 * [misc]backup-simplify: Simplify 0 into 0 1546679975.325 * [misc]backup-simplify: Simplify 0 into 0 1546679975.327 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546679975.327 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679975.327 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.328 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.328 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546679975.332 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546679975.332 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546679975.333 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546679975.333 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546679975.333 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.333 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.334 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546679975.334 * [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)))) 1546679975.336 * [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)))))) 1546679975.337 * [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))))) 1546679975.337 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546679975.337 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546679975.337 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.337 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546679975.337 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.337 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.337 * [misc]backup-simplify: Simplify 2 into 2 1546679975.338 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.338 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.338 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679975.338 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679975.338 * [misc]taylor: Taking taylor expansion of n in n 1546679975.338 * [misc]backup-simplify: Simplify 0 into 0 1546679975.338 * [misc]backup-simplify: Simplify 1 into 1 1546679975.338 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.338 * [misc]backup-simplify: Simplify PI into PI 1546679975.338 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679975.339 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679975.339 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.339 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.340 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546679975.340 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.340 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.340 * [misc]backup-simplify: Simplify 0 into 0 1546679975.340 * [misc]backup-simplify: Simplify 0 into 0 1546679975.340 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546679975.341 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679975.346 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546679975.346 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679975.346 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.346 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.348 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546679975.352 * [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))) 1546679975.353 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546679975.354 * [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 1546679975.354 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546679975.355 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.355 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546679975.356 * [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))) 1546679975.360 * [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))))))) 1546679975.364 * [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))))))))) 1546679975.364 * [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 1546679975.364 * [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 1546679975.364 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546679975.364 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.364 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.364 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546679975.364 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546679975.364 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.364 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.364 * [misc]backup-simplify: Simplify 2 into 2 1546679975.365 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.365 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.365 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.365 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.365 * [misc]backup-simplify: Simplify PI into PI 1546679975.365 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.365 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546679975.365 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546679975.365 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.365 * [misc]backup-simplify: Simplify PI into PI 1546679975.365 * [misc]taylor: Taking taylor expansion of n in n 1546679975.365 * [misc]backup-simplify: Simplify 0 into 0 1546679975.365 * [misc]backup-simplify: Simplify 1 into 1 1546679975.366 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546679975.366 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546679975.366 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.367 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.367 * [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 1546679975.367 * [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 1546679975.367 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546679975.367 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.367 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.367 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546679975.367 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.367 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.367 * [misc]backup-simplify: Simplify 2 into 2 1546679975.367 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.367 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.368 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679975.368 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679975.368 * [misc]taylor: Taking taylor expansion of n in n 1546679975.368 * [misc]backup-simplify: Simplify 0 into 0 1546679975.368 * [misc]backup-simplify: Simplify 1 into 1 1546679975.368 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.368 * [misc]backup-simplify: Simplify PI into PI 1546679975.368 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679975.369 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679975.369 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.369 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.369 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546679975.369 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546679975.369 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.369 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.369 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546679975.369 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546679975.369 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.369 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.369 * [misc]backup-simplify: Simplify 2 into 2 1546679975.370 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.370 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.370 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546679975.370 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546679975.370 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.370 * [misc]backup-simplify: Simplify 2 into 2 1546679975.370 * [misc]taylor: Taking taylor expansion of n in n 1546679975.370 * [misc]backup-simplify: Simplify 0 into 0 1546679975.370 * [misc]backup-simplify: Simplify 1 into 1 1546679975.370 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679975.370 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546679975.371 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.371 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546679975.371 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546679975.371 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.371 * [misc]backup-simplify: Simplify PI into PI 1546679975.371 * [misc]taylor: Taking taylor expansion of n in n 1546679975.371 * [misc]backup-simplify: Simplify 0 into 0 1546679975.371 * [misc]backup-simplify: Simplify 1 into 1 1546679975.371 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546679975.372 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546679975.372 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.372 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.373 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546679975.374 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546679975.375 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.375 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546679975.375 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.375 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.376 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546679975.376 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546679975.376 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.376 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.376 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.377 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.377 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.377 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.377 * [misc]backup-simplify: Simplify 0 into 0 1546679975.378 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679975.380 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679975.381 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679975.382 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679975.382 * [misc]backup-simplify: Simplify 0 into 0 1546679975.383 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679975.384 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679975.391 * [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 1546679975.392 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546679975.392 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.392 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.394 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1546679975.401 * [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))) 1546679975.401 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1546679975.404 * [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 1546679975.404 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546679975.405 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.405 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.405 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1546679975.407 * [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))) 1546679975.412 * [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))))))))) 1546679975.422 * [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))))))))))))))) 1546679975.423 * [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 1546679975.423 * [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 1546679975.423 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546679975.423 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.423 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.423 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546679975.423 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546679975.423 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.423 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.423 * [misc]backup-simplify: Simplify 2 into 2 1546679975.423 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.423 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.424 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.424 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.424 * [misc]backup-simplify: Simplify PI into PI 1546679975.424 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.424 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546679975.424 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546679975.424 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.424 * [misc]backup-simplify: Simplify PI into PI 1546679975.424 * [misc]taylor: Taking taylor expansion of n in n 1546679975.424 * [misc]backup-simplify: Simplify 0 into 0 1546679975.424 * [misc]backup-simplify: Simplify 1 into 1 1546679975.424 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546679975.425 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546679975.425 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.426 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.426 * [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 1546679975.426 * [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 1546679975.426 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1546679975.426 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.426 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.426 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1546679975.426 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1546679975.426 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.426 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.426 * [misc]backup-simplify: Simplify 2 into 2 1546679975.426 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.426 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.427 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1546679975.427 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.427 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.427 * [misc]backup-simplify: Simplify PI into PI 1546679975.427 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.427 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546679975.427 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546679975.427 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.427 * [misc]backup-simplify: Simplify PI into PI 1546679975.427 * [misc]taylor: Taking taylor expansion of n in n 1546679975.427 * [misc]backup-simplify: Simplify 0 into 0 1546679975.427 * [misc]backup-simplify: Simplify 1 into 1 1546679975.429 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546679975.430 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546679975.430 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.430 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.430 * [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 1546679975.431 * [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 1546679975.431 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1546679975.431 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.431 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.431 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1546679975.431 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1546679975.431 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.431 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.431 * [misc]backup-simplify: Simplify 2 into 2 1546679975.431 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.431 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.431 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1546679975.431 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546679975.431 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546679975.431 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.431 * [misc]backup-simplify: Simplify 2 into 2 1546679975.432 * [misc]taylor: Taking taylor expansion of n in n 1546679975.432 * [misc]backup-simplify: Simplify 0 into 0 1546679975.432 * [misc]backup-simplify: Simplify 1 into 1 1546679975.432 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679975.432 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546679975.432 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.432 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.433 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546679975.433 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546679975.433 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.433 * [misc]backup-simplify: Simplify PI into PI 1546679975.433 * [misc]taylor: Taking taylor expansion of n in n 1546679975.433 * [misc]backup-simplify: Simplify 0 into 0 1546679975.433 * [misc]backup-simplify: Simplify 1 into 1 1546679975.433 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546679975.434 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546679975.434 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.434 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.434 * [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 1546679975.434 * [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 1546679975.434 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1546679975.434 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.435 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.435 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1546679975.435 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1546679975.435 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.435 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.435 * [misc]backup-simplify: Simplify 2 into 2 1546679975.435 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.435 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.435 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1546679975.435 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546679975.435 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546679975.435 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.435 * [misc]backup-simplify: Simplify 2 into 2 1546679975.435 * [misc]taylor: Taking taylor expansion of n in n 1546679975.435 * [misc]backup-simplify: Simplify 0 into 0 1546679975.435 * [misc]backup-simplify: Simplify 1 into 1 1546679975.435 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679975.436 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546679975.436 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.436 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.436 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.436 * [misc]backup-simplify: Simplify PI into PI 1546679975.436 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.436 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679975.436 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679975.436 * [misc]taylor: Taking taylor expansion of n in n 1546679975.436 * [misc]backup-simplify: Simplify 0 into 0 1546679975.436 * [misc]backup-simplify: Simplify 1 into 1 1546679975.436 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.436 * [misc]backup-simplify: Simplify PI into PI 1546679975.437 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679975.437 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679975.438 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.438 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.438 * [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 1546679975.438 * [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 1546679975.438 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546679975.438 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.438 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.438 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546679975.438 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.438 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.438 * [misc]backup-simplify: Simplify 2 into 2 1546679975.439 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.439 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.439 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546679975.439 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546679975.439 * [misc]taylor: Taking taylor expansion of n in n 1546679975.439 * [misc]backup-simplify: Simplify 0 into 0 1546679975.439 * [misc]backup-simplify: Simplify 1 into 1 1546679975.439 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.439 * [misc]backup-simplify: Simplify PI into PI 1546679975.439 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546679975.440 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546679975.440 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.441 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.441 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546679975.441 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546679975.441 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.441 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.441 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546679975.441 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546679975.441 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546679975.441 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.441 * [misc]backup-simplify: Simplify 2 into 2 1546679975.441 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546679975.441 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546679975.441 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546679975.441 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546679975.441 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.442 * [misc]backup-simplify: Simplify 2 into 2 1546679975.442 * [misc]taylor: Taking taylor expansion of n in n 1546679975.442 * [misc]backup-simplify: Simplify 0 into 0 1546679975.442 * [misc]backup-simplify: Simplify 1 into 1 1546679975.442 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546679975.442 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546679975.442 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.442 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546679975.442 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546679975.442 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.442 * [misc]backup-simplify: Simplify PI into PI 1546679975.442 * [misc]taylor: Taking taylor expansion of n in n 1546679975.442 * [misc]backup-simplify: Simplify 0 into 0 1546679975.442 * [misc]backup-simplify: Simplify 1 into 1 1546679975.443 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546679975.443 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546679975.443 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.444 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546679975.444 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546679975.445 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546679975.445 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.445 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1546679975.446 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1546679975.447 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1546679975.447 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.447 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.447 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.448 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1546679975.448 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1546679975.448 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1546679975.448 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.448 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.449 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1546679975.449 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1546679975.450 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1546679975.450 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.450 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546679975.450 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.450 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.450 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546679975.451 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546679975.451 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546679975.451 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.451 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.451 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.452 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.452 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.452 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.452 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.452 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.452 * [misc]backup-simplify: Simplify 0 into 0 1546679975.454 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546679975.454 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1546679975.455 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546679975.457 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546679975.458 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679975.459 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546679975.459 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546679975.460 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546679975.461 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546679975.461 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1546679975.461 * [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)))))) 1546679975.463 * [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)))))) 1546679975.464 * [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)))))) 1546679975.467 * [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))))))) 1546679975.471 * [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))))))) 1546679975.476 * [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))))))))) 1546679975.483 * [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))))))))) 1546679975.490 * [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))))))))) 1546679975.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546679975.492 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546679975.494 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546679975.496 * [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)))) 1546679975.500 * [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)))) 1546679975.502 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546679975.503 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546679975.513 * [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))))))))))))))) 1546679975.513 * [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)) 1546679975.513 * [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 1546679975.514 * [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 1546679975.514 * [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 1546679975.514 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.514 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546679975.514 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546679975.514 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.514 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.514 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.514 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.514 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.514 * [misc]taylor: Taking taylor expansion of k in n 1546679975.514 * [misc]backup-simplify: Simplify k into k 1546679975.514 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.514 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.514 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.514 * [misc]backup-simplify: Simplify PI into PI 1546679975.515 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.515 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.515 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.515 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.515 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546679975.516 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.516 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.516 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.516 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.516 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.516 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.516 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.516 * [misc]taylor: Taking taylor expansion of k in n 1546679975.516 * [misc]backup-simplify: Simplify k into k 1546679975.516 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.516 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.516 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.516 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.516 * [misc]backup-simplify: Simplify 2 into 2 1546679975.516 * [misc]taylor: Taking taylor expansion of n in n 1546679975.516 * [misc]backup-simplify: Simplify 0 into 0 1546679975.516 * [misc]backup-simplify: Simplify 1 into 1 1546679975.516 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.517 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.517 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.517 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.517 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.517 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.518 * [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))) 1546679975.518 * [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)))) 1546679975.518 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546679975.518 * [misc]taylor: Taking taylor expansion of k in n 1546679975.518 * [misc]backup-simplify: Simplify k into k 1546679975.518 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546679975.518 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546679975.518 * [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 1546679975.518 * [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 1546679975.518 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679975.518 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546679975.518 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546679975.518 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.518 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.518 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.518 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.518 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.519 * [misc]taylor: Taking taylor expansion of k in k 1546679975.519 * [misc]backup-simplify: Simplify 0 into 0 1546679975.519 * [misc]backup-simplify: Simplify 1 into 1 1546679975.519 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.519 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.519 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.519 * [misc]backup-simplify: Simplify PI into PI 1546679975.519 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.519 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.519 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.520 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.520 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546679975.520 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.520 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679975.520 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546679975.521 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546679975.521 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.521 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.521 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.521 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.521 * [misc]taylor: Taking taylor expansion of k in k 1546679975.521 * [misc]backup-simplify: Simplify 0 into 0 1546679975.521 * [misc]backup-simplify: Simplify 1 into 1 1546679975.521 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.521 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546679975.521 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546679975.521 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.521 * [misc]backup-simplify: Simplify 2 into 2 1546679975.521 * [misc]taylor: Taking taylor expansion of n in k 1546679975.521 * [misc]backup-simplify: Simplify n into n 1546679975.521 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546679975.521 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546679975.521 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.522 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.522 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.522 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546679975.522 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.522 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679975.522 * [misc]taylor: Taking taylor expansion of k in k 1546679975.522 * [misc]backup-simplify: Simplify 0 into 0 1546679975.522 * [misc]backup-simplify: Simplify 1 into 1 1546679975.522 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.523 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.523 * [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 1546679975.523 * [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 1546679975.523 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679975.523 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546679975.523 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546679975.523 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.523 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.523 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.523 * [misc]taylor: Taking taylor expansion of k in k 1546679975.523 * [misc]backup-simplify: Simplify 0 into 0 1546679975.523 * [misc]backup-simplify: Simplify 1 into 1 1546679975.523 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.523 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.523 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.523 * [misc]backup-simplify: Simplify PI into PI 1546679975.524 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.524 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.524 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.524 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.525 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546679975.525 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.525 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546679975.525 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546679975.525 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546679975.525 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546679975.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.525 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.525 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.525 * [misc]taylor: Taking taylor expansion of k in k 1546679975.525 * [misc]backup-simplify: Simplify 0 into 0 1546679975.525 * [misc]backup-simplify: Simplify 1 into 1 1546679975.525 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.526 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546679975.526 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546679975.526 * [misc]taylor: Taking taylor expansion of 2 in k 1546679975.526 * [misc]backup-simplify: Simplify 2 into 2 1546679975.526 * [misc]taylor: Taking taylor expansion of n in k 1546679975.526 * [misc]backup-simplify: Simplify n into n 1546679975.526 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546679975.526 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546679975.526 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.526 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546679975.526 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546679975.526 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546679975.527 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.527 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546679975.527 * [misc]taylor: Taking taylor expansion of k in k 1546679975.527 * [misc]backup-simplify: Simplify 0 into 0 1546679975.527 * [misc]backup-simplify: Simplify 1 into 1 1546679975.527 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.527 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546679975.528 * [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))))) 1546679975.528 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546679975.528 * [misc]taylor: Taking taylor expansion of 0 in n 1546679975.528 * [misc]backup-simplify: Simplify 0 into 0 1546679975.528 * [misc]backup-simplify: Simplify 0 into 0 1546679975.528 * [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 1546679975.529 * [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))))))) 1546679975.529 * [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 1546679975.529 * [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 1546679975.529 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.529 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.529 * [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 1546679975.529 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.529 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546679975.529 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546679975.529 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.529 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.529 * [misc]taylor: Taking taylor expansion of k in n 1546679975.529 * [misc]backup-simplify: Simplify k into k 1546679975.529 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.529 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.529 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.529 * [misc]backup-simplify: Simplify PI into PI 1546679975.530 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.530 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.530 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.530 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.530 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546679975.531 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.531 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.531 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.531 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.531 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.531 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.531 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.531 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.531 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.531 * [misc]taylor: Taking taylor expansion of k in n 1546679975.531 * [misc]backup-simplify: Simplify k into k 1546679975.531 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.531 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.531 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.531 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.531 * [misc]backup-simplify: Simplify 2 into 2 1546679975.531 * [misc]taylor: Taking taylor expansion of n in n 1546679975.531 * [misc]backup-simplify: Simplify 0 into 0 1546679975.531 * [misc]backup-simplify: Simplify 1 into 1 1546679975.531 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.531 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.532 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.532 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.532 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.532 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.532 * [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))) 1546679975.532 * [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)))) 1546679975.533 * [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))))) 1546679975.533 * [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)))))) 1546679975.533 * [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))))))) 1546679975.533 * [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))))))) 1546679975.534 * [misc]backup-simplify: Simplify 0 into 0 1546679975.534 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679975.535 * [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 1546679975.535 * [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))))))) 1546679975.535 * [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 1546679975.535 * [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 1546679975.535 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.535 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.535 * [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 1546679975.535 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.535 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546679975.535 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546679975.535 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.535 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.535 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.535 * [misc]taylor: Taking taylor expansion of k in n 1546679975.535 * [misc]backup-simplify: Simplify k into k 1546679975.535 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.535 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.535 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.536 * [misc]backup-simplify: Simplify PI into PI 1546679975.536 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.536 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.536 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.536 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.536 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546679975.536 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.536 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.536 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.536 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.536 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.537 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.537 * [misc]taylor: Taking taylor expansion of k in n 1546679975.537 * [misc]backup-simplify: Simplify k into k 1546679975.537 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.537 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.537 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.537 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.537 * [misc]backup-simplify: Simplify 2 into 2 1546679975.537 * [misc]taylor: Taking taylor expansion of n in n 1546679975.537 * [misc]backup-simplify: Simplify 0 into 0 1546679975.537 * [misc]backup-simplify: Simplify 1 into 1 1546679975.537 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.537 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.537 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.537 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.537 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.537 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.538 * [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))) 1546679975.538 * [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)))) 1546679975.538 * [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))))) 1546679975.538 * [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)))))) 1546679975.539 * [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))))))) 1546679975.539 * [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))))))) 1546679975.539 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546679975.541 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546679975.541 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679975.541 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.541 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.541 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546679975.542 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679975.544 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546679975.544 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.544 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679975.544 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.545 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1546679975.546 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679975.546 * [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 1546679975.546 * [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 1546679975.546 * [misc]backup-simplify: Simplify (- 0) into 0 1546679975.546 * [misc]backup-simplify: Simplify 0 into 0 1546679975.546 * [misc]backup-simplify: Simplify 0 into 0 1546679975.547 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679975.547 * [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 1546679975.548 * [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))))))) 1546679975.548 * [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 1546679975.548 * [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 1546679975.548 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.548 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.548 * [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 1546679975.548 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.548 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546679975.548 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546679975.548 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.548 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.548 * [misc]taylor: Taking taylor expansion of k in n 1546679975.548 * [misc]backup-simplify: Simplify k into k 1546679975.548 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.548 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.548 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.548 * [misc]backup-simplify: Simplify PI into PI 1546679975.548 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.548 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.549 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.549 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.549 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546679975.549 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546679975.549 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546679975.549 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546679975.549 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546679975.549 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546679975.549 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.549 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.549 * [misc]taylor: Taking taylor expansion of k in n 1546679975.549 * [misc]backup-simplify: Simplify k into k 1546679975.549 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.549 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546679975.549 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546679975.549 * [misc]taylor: Taking taylor expansion of 2 in n 1546679975.549 * [misc]backup-simplify: Simplify 2 into 2 1546679975.549 * [misc]taylor: Taking taylor expansion of n in n 1546679975.549 * [misc]backup-simplify: Simplify 0 into 0 1546679975.549 * [misc]backup-simplify: Simplify 1 into 1 1546679975.549 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546679975.550 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546679975.550 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.550 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546679975.550 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546679975.550 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546679975.550 * [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))) 1546679975.550 * [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)))) 1546679975.551 * [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))))) 1546679975.551 * [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)))))) 1546679975.551 * [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))))))) 1546679975.552 * [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))))))) 1546679975.553 * [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)))))))) 1546679975.553 * [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))) 1546679975.553 * [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 1546679975.553 * [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 1546679975.553 * [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 1546679975.553 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.553 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.553 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.553 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.554 * [misc]taylor: Taking taylor expansion of k in n 1546679975.554 * [misc]backup-simplify: Simplify k into k 1546679975.554 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.554 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.554 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.554 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.554 * [misc]backup-simplify: Simplify -2 into -2 1546679975.554 * [misc]taylor: Taking taylor expansion of n in n 1546679975.554 * [misc]backup-simplify: Simplify 0 into 0 1546679975.554 * [misc]backup-simplify: Simplify 1 into 1 1546679975.554 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.554 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.554 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.554 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.554 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546679975.555 * [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)))) 1546679975.555 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.555 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546679975.555 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546679975.555 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.555 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.555 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.555 * [misc]taylor: Taking taylor expansion of k in n 1546679975.555 * [misc]backup-simplify: Simplify k into k 1546679975.555 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.555 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.555 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.555 * [misc]backup-simplify: Simplify PI into PI 1546679975.555 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.555 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.555 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.556 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546679975.556 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.556 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546679975.556 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546679975.556 * [misc]taylor: Taking taylor expansion of -1 in n 1546679975.556 * [misc]backup-simplify: Simplify -1 into -1 1546679975.556 * [misc]taylor: Taking taylor expansion of k in n 1546679975.556 * [misc]backup-simplify: Simplify k into k 1546679975.556 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546679975.556 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546679975.557 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546679975.557 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546679975.557 * [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))) 1546679975.558 * [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))) 1546679975.558 * [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 1546679975.558 * [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 1546679975.558 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679975.558 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546679975.558 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546679975.558 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.558 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.558 * [misc]taylor: Taking taylor expansion of k in k 1546679975.558 * [misc]backup-simplify: Simplify 0 into 0 1546679975.558 * [misc]backup-simplify: Simplify 1 into 1 1546679975.558 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.558 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546679975.558 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546679975.558 * [misc]taylor: Taking taylor expansion of -2 in k 1546679975.558 * [misc]backup-simplify: Simplify -2 into -2 1546679975.558 * [misc]taylor: Taking taylor expansion of n in k 1546679975.558 * [misc]backup-simplify: Simplify n into n 1546679975.558 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546679975.559 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546679975.559 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.559 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.559 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546679975.559 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.559 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679975.559 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546679975.559 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546679975.559 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.559 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.559 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.559 * [misc]taylor: Taking taylor expansion of k in k 1546679975.559 * [misc]backup-simplify: Simplify 0 into 0 1546679975.560 * [misc]backup-simplify: Simplify 1 into 1 1546679975.560 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.560 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.560 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.560 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.560 * [misc]backup-simplify: Simplify PI into PI 1546679975.560 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.560 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.560 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.561 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546679975.561 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.561 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679975.561 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679975.561 * [misc]taylor: Taking taylor expansion of -1 in k 1546679975.561 * [misc]backup-simplify: Simplify -1 into -1 1546679975.561 * [misc]taylor: Taking taylor expansion of k in k 1546679975.561 * [misc]backup-simplify: Simplify 0 into 0 1546679975.561 * [misc]backup-simplify: Simplify 1 into 1 1546679975.562 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679975.562 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.562 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679975.562 * [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))) 1546679975.563 * [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)))) 1546679975.563 * [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 1546679975.563 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546679975.563 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679975.563 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546679975.563 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546679975.563 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.563 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.563 * [misc]taylor: Taking taylor expansion of k in k 1546679975.563 * [misc]backup-simplify: Simplify 0 into 0 1546679975.563 * [misc]backup-simplify: Simplify 1 into 1 1546679975.563 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.563 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546679975.564 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546679975.564 * [misc]taylor: Taking taylor expansion of -2 in k 1546679975.564 * [misc]backup-simplify: Simplify -2 into -2 1546679975.564 * [misc]taylor: Taking taylor expansion of n in k 1546679975.564 * [misc]backup-simplify: Simplify n into n 1546679975.564 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546679975.565 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546679975.565 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.565 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.565 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546679975.565 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.566 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546679975.566 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546679975.566 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546679975.566 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546679975.566 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546679975.566 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.566 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546679975.566 * [misc]taylor: Taking taylor expansion of k in k 1546679975.566 * [misc]backup-simplify: Simplify 0 into 0 1546679975.566 * [misc]backup-simplify: Simplify 1 into 1 1546679975.566 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546679975.566 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546679975.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.566 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546679975.566 * [misc]taylor: Taking taylor expansion of PI in k 1546679975.566 * [misc]backup-simplify: Simplify PI into PI 1546679975.566 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.567 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546679975.567 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546679975.567 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546679975.568 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.568 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546679975.568 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546679975.568 * [misc]taylor: Taking taylor expansion of -1 in k 1546679975.568 * [misc]backup-simplify: Simplify -1 into -1 1546679975.568 * [misc]taylor: Taking taylor expansion of k in k 1546679975.568 * [misc]backup-simplify: Simplify 0 into 0 1546679975.568 * [misc]backup-simplify: Simplify 1 into 1 1546679975.568 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546679975.568 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546679975.569 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546679975.569 * [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))) 1546679975.569 * [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)))) 1546679975.569 * [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 1546679975.569 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.569 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.569 * [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 1546679975.569 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.569 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.569 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.569 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.570 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.570 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.570 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.570 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.570 * [misc]taylor: Taking taylor expansion of k in n 1546679975.570 * [misc]backup-simplify: Simplify k into k 1546679975.570 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.570 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.570 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.570 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.570 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.570 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.570 * [misc]backup-simplify: Simplify -2 into -2 1546679975.570 * [misc]taylor: Taking taylor expansion of n in n 1546679975.570 * [misc]backup-simplify: Simplify 0 into 0 1546679975.570 * [misc]backup-simplify: Simplify 1 into 1 1546679975.570 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.570 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.570 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.570 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.571 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.571 * [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))) 1546679975.571 * [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)))) 1546679975.572 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.572 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546679975.572 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546679975.572 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.572 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.572 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.572 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.572 * [misc]taylor: Taking taylor expansion of k in n 1546679975.572 * [misc]backup-simplify: Simplify k into k 1546679975.572 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.572 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.572 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.572 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.572 * [misc]backup-simplify: Simplify PI into PI 1546679975.572 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.572 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.572 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.573 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546679975.573 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.574 * [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))) 1546679975.574 * [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)))) 1546679975.574 * [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)))) 1546679975.575 * [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 1546679975.575 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546679975.576 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546679975.577 * [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))))) 1546679975.577 * [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 1546679975.577 * [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 1546679975.577 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.577 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.577 * [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 1546679975.577 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.577 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.577 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.577 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.577 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.578 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.578 * [misc]taylor: Taking taylor expansion of k in n 1546679975.578 * [misc]backup-simplify: Simplify k into k 1546679975.578 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.578 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.578 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.578 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.578 * [misc]backup-simplify: Simplify -2 into -2 1546679975.578 * [misc]taylor: Taking taylor expansion of n in n 1546679975.578 * [misc]backup-simplify: Simplify 0 into 0 1546679975.578 * [misc]backup-simplify: Simplify 1 into 1 1546679975.578 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.578 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.578 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.578 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.579 * [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))) 1546679975.579 * [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)))) 1546679975.579 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.579 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546679975.579 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546679975.580 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.580 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.580 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.580 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.580 * [misc]taylor: Taking taylor expansion of k in n 1546679975.580 * [misc]backup-simplify: Simplify k into k 1546679975.580 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.580 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.580 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.580 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.580 * [misc]backup-simplify: Simplify PI into PI 1546679975.580 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.580 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.580 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.581 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546679975.581 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.581 * [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))) 1546679975.582 * [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)))) 1546679975.582 * [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))))) 1546679975.583 * [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))))) 1546679975.585 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546679975.586 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.586 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679975.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.587 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1546679975.588 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679975.589 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546679975.591 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546679975.591 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546679975.592 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546679975.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546679975.592 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.592 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546679975.594 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546679975.594 * [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 1546679975.595 * [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 1546679975.595 * [misc]backup-simplify: Simplify 0 into 0 1546679975.595 * [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 1546679975.596 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546679975.597 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546679975.598 * [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))))) 1546679975.598 * [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 1546679975.599 * [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 1546679975.599 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546679975.599 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546679975.599 * [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 1546679975.599 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.599 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546679975.599 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546679975.599 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.599 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.599 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.599 * [misc]taylor: Taking taylor expansion of k in n 1546679975.599 * [misc]backup-simplify: Simplify k into k 1546679975.599 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.599 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546679975.599 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546679975.599 * [misc]taylor: Taking taylor expansion of -2 in n 1546679975.599 * [misc]backup-simplify: Simplify -2 into -2 1546679975.599 * [misc]taylor: Taking taylor expansion of n in n 1546679975.599 * [misc]backup-simplify: Simplify 0 into 0 1546679975.599 * [misc]backup-simplify: Simplify 1 into 1 1546679975.599 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546679975.600 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546679975.600 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.600 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.600 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546679975.601 * [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))) 1546679975.601 * [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)))) 1546679975.601 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546679975.601 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546679975.601 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546679975.601 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546679975.601 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546679975.601 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.601 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.601 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546679975.601 * [misc]taylor: Taking taylor expansion of k in n 1546679975.601 * [misc]backup-simplify: Simplify k into k 1546679975.601 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546679975.601 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546679975.601 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546679975.602 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546679975.602 * [misc]taylor: Taking taylor expansion of PI in n 1546679975.602 * [misc]backup-simplify: Simplify PI into PI 1546679975.602 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546679975.602 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546679975.602 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546679975.602 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546679975.603 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546679975.603 * [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))) 1546679975.604 * [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)))) 1546679975.604 * [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))))) 1546679975.605 * [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))))) 1546679975.607 * [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)))))))) 1546679975.607 * * * [misc]progress: simplifying candidates 1546679975.607 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1546679975.607 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1546679975.608 * * [misc]simplify: iters left: 6 (9 enodes) 1546679975.611 * * [misc]simplify: iters left: 5 (16 enodes) 1546679975.616 * * [misc]simplify: iters left: 4 (32 enodes) 1546679975.627 * * [misc]simplify: iters left: 3 (68 enodes) 1546679975.654 * * [misc]simplify: iters left: 2 (171 enodes) 1546679975.696 * * [misc]simplify: iters left: 1 (342 enodes) 1546679975.813 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1546679975.813 * [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))))))) 1546679975.813 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1546679975.813 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1546679975.814 * [enter]simplify: Simplifying (* n 2) 1546679975.814 * * [misc]simplify: iters left: 2 (3 enodes) 1546679975.814 * * [misc]simplify: iters left: 1 (4 enodes) 1546679975.815 * [exit]simplify: Simplified to (* n 2) 1546679975.815 * [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))))))) 1546679975.815 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1546679975.815 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546679975.815 * * [misc]simplify: iters left: 3 (6 enodes) 1546679975.816 * * [misc]simplify: iters left: 2 (7 enodes) 1546679975.817 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546679975.817 * [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)))))) 1546679975.817 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1546679975.818 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546679975.818 * * [misc]simplify: iters left: 5 (6 enodes) 1546679975.819 * * [misc]simplify: iters left: 4 (8 enodes) 1546679975.820 * * [misc]simplify: iters left: 3 (11 enodes) 1546679975.822 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546679975.822 * [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))))))) 1546679975.822 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1546679975.822 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546679975.822 * * [misc]simplify: iters left: 5 (6 enodes) 1546679975.823 * * [misc]simplify: iters left: 4 (8 enodes) 1546679975.824 * * [misc]simplify: iters left: 3 (11 enodes) 1546679975.826 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546679975.826 * [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))))))) 1546679975.826 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1546679975.826 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546679975.826 * * [misc]simplify: iters left: 4 (5 enodes) 1546679975.827 * * [misc]simplify: iters left: 3 (7 enodes) 1546679975.828 * * [misc]simplify: iters left: 2 (10 enodes) 1546679975.830 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546679975.830 * [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)))))) 1546679975.830 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1546679975.830 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546679975.830 * * [misc]simplify: iters left: 5 (7 enodes) 1546679975.831 * * [misc]simplify: iters left: 4 (10 enodes) 1546679975.833 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546679975.833 * [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))))))) 1546679975.833 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1546679975.833 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546679975.833 * * [misc]simplify: iters left: 5 (7 enodes) 1546679975.834 * * [misc]simplify: iters left: 4 (10 enodes) 1546679975.836 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546679975.836 * [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))))))) 1546679975.836 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1546679975.836 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1546679975.836 * * [misc]simplify: iters left: 5 (7 enodes) 1546679975.837 * * [misc]simplify: iters left: 4 (9 enodes) 1546679975.838 * * [misc]simplify: iters left: 3 (12 enodes) 1546679975.840 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546679975.840 * [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))))))) 1546679975.840 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1546679975.840 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1546679975.840 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1546679975.840 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1546679975.840 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1546679975.840 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1546679975.840 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1546679975.840 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1546679975.840 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1546679975.841 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1546679975.841 * * [misc]simplify: iters left: 3 (5 enodes) 1546679975.841 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1546679975.841 * [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)))))) 1546679975.841 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1546679975.842 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546679975.842 * * [misc]simplify: iters left: 5 (6 enodes) 1546679975.843 * * [misc]simplify: iters left: 4 (8 enodes) 1546679975.844 * * [misc]simplify: iters left: 3 (11 enodes) 1546679975.848 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546679975.848 * [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)))))) 1546679975.848 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1546679975.848 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546679975.848 * * [misc]simplify: iters left: 5 (6 enodes) 1546679975.850 * * [misc]simplify: iters left: 4 (8 enodes) 1546679975.852 * * [misc]simplify: iters left: 3 (11 enodes) 1546679975.855 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546679975.855 * [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)))))) 1546679975.855 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1546679975.855 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546679975.855 * * [misc]simplify: iters left: 4 (5 enodes) 1546679975.857 * * [misc]simplify: iters left: 3 (7 enodes) 1546679975.858 * * [misc]simplify: iters left: 2 (10 enodes) 1546679975.860 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546679975.860 * [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)))))) 1546679975.860 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1546679975.861 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546679975.861 * * [misc]simplify: iters left: 5 (6 enodes) 1546679975.862 * * [misc]simplify: iters left: 4 (8 enodes) 1546679975.863 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546679975.863 * [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)))))) 1546679975.863 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1546679975.863 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546679975.863 * * [misc]simplify: iters left: 5 (6 enodes) 1546679975.864 * * [misc]simplify: iters left: 4 (8 enodes) 1546679975.865 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546679975.865 * [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)))))) 1546679975.865 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1546679975.865 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1546679975.865 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1546679975.865 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1546679975.865 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1546679975.865 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1546679975.866 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1546679975.866 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1546679975.866 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1546679975.866 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546679975.866 * * [misc]simplify: iters left: 6 (12 enodes) 1546679975.868 * * [misc]simplify: iters left: 5 (21 enodes) 1546679975.872 * * [misc]simplify: iters left: 4 (44 enodes) 1546679975.882 * * [misc]simplify: iters left: 3 (125 enodes) 1546679975.911 * * [misc]simplify: iters left: 2 (343 enodes) 1546679976.025 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1546679976.025 * [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))))))) 1546679976.025 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1546679976.025 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546679976.026 * * [misc]simplify: iters left: 6 (12 enodes) 1546679976.030 * * [misc]simplify: iters left: 5 (21 enodes) 1546679976.037 * * [misc]simplify: iters left: 4 (44 enodes) 1546679976.056 * * [misc]simplify: iters left: 3 (125 enodes) 1546679976.114 * * [misc]simplify: iters left: 2 (343 enodes) 1546679976.275 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1546679976.275 * [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))))))) 1546679976.275 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1546679976.276 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.276 * * [misc]simplify: iters left: 6 (12 enodes) 1546679976.280 * * [misc]simplify: iters left: 5 (19 enodes) 1546679976.286 * * [misc]simplify: iters left: 4 (32 enodes) 1546679976.297 * * [misc]simplify: iters left: 3 (67 enodes) 1546679976.328 * * [misc]simplify: iters left: 2 (194 enodes) 1546679976.436 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546679976.436 * [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))))))) 1546679976.436 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1546679976.436 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1546679976.436 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1546679976.437 * [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))))) 1546679976.437 * * [misc]simplify: iters left: 6 (14 enodes) 1546679976.439 * * [misc]simplify: iters left: 5 (26 enodes) 1546679976.444 * * [misc]simplify: iters left: 4 (58 enodes) 1546679976.455 * * [misc]simplify: iters left: 3 (117 enodes) 1546679976.481 * * [misc]simplify: iters left: 2 (193 enodes) 1546679976.527 * * [misc]simplify: iters left: 1 (263 enodes) 1546679976.632 * [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))))) 1546679976.632 * [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)))))))) 1546679976.632 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1546679976.632 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1546679976.632 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1546679976.633 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1546679976.633 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1546679976.633 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546679976.633 * * [misc]simplify: iters left: 6 (10 enodes) 1546679976.636 * * [misc]simplify: iters left: 5 (14 enodes) 1546679976.640 * * [misc]simplify: iters left: 4 (16 enodes) 1546679976.644 * * [misc]simplify: iters left: 3 (17 enodes) 1546679976.649 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546679976.650 * [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))))))) 1546679976.650 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546679976.650 * * [misc]simplify: iters left: 6 (10 enodes) 1546679976.653 * * [misc]simplify: iters left: 5 (13 enodes) 1546679976.657 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546679976.657 * [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)))))) 1546679976.657 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1546679976.657 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546679976.657 * * [misc]simplify: iters left: 6 (10 enodes) 1546679976.661 * * [misc]simplify: iters left: 5 (14 enodes) 1546679976.665 * * [misc]simplify: iters left: 4 (16 enodes) 1546679976.670 * * [misc]simplify: iters left: 3 (17 enodes) 1546679976.675 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546679976.675 * [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))))))) 1546679976.675 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546679976.675 * * [misc]simplify: iters left: 6 (10 enodes) 1546679976.678 * * [misc]simplify: iters left: 5 (13 enodes) 1546679976.682 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546679976.682 * [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)))))) 1546679976.682 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1546679976.683 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546679976.683 * * [misc]simplify: iters left: 6 (11 enodes) 1546679976.686 * * [misc]simplify: iters left: 5 (15 enodes) 1546679976.691 * * [misc]simplify: iters left: 4 (20 enodes) 1546679976.698 * * [misc]simplify: iters left: 3 (21 enodes) 1546679976.704 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546679976.704 * [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))))))) 1546679976.705 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546679976.705 * * [misc]simplify: iters left: 6 (9 enodes) 1546679976.707 * * [misc]simplify: iters left: 5 (11 enodes) 1546679976.711 * * [misc]simplify: iters left: 4 (14 enodes) 1546679976.715 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546679976.715 * [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))))))) 1546679976.715 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1546679976.716 * [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)))))) 1546679976.716 * * [misc]simplify: iters left: 6 (14 enodes) 1546679976.721 * * [misc]simplify: iters left: 5 (23 enodes) 1546679976.728 * * [misc]simplify: iters left: 4 (35 enodes) 1546679976.739 * * [misc]simplify: iters left: 3 (38 enodes) 1546679976.749 * * [misc]simplify: iters left: 2 (41 enodes) 1546679976.761 * [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)))))) 1546679976.761 * [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)))))))) 1546679976.762 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.762 * * [misc]simplify: iters left: 6 (12 enodes) 1546679976.765 * * [misc]simplify: iters left: 5 (15 enodes) 1546679976.770 * * [misc]simplify: iters left: 4 (18 enodes) 1546679976.776 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.776 * [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)))))))) 1546679976.776 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1546679976.776 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.776 * * [misc]simplify: iters left: 6 (13 enodes) 1546679976.781 * * [misc]simplify: iters left: 5 (18 enodes) 1546679976.786 * * [misc]simplify: iters left: 4 (23 enodes) 1546679976.793 * * [misc]simplify: iters left: 3 (24 enodes) 1546679976.799 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.800 * [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)))))))) 1546679976.800 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.800 * * [misc]simplify: iters left: 6 (12 enodes) 1546679976.802 * * [misc]simplify: iters left: 5 (15 enodes) 1546679976.804 * * [misc]simplify: iters left: 4 (18 enodes) 1546679976.807 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.807 * [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)))))))) 1546679976.807 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1546679976.807 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546679976.807 * * [misc]simplify: iters left: 6 (6 enodes) 1546679976.808 * * [misc]simplify: iters left: 5 (10 enodes) 1546679976.810 * * [misc]simplify: iters left: 4 (16 enodes) 1546679976.812 * * [misc]simplify: iters left: 3 (18 enodes) 1546679976.814 * * [misc]simplify: iters left: 2 (23 enodes) 1546679976.817 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546679976.817 * [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))))))) 1546679976.817 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679976.817 * * [misc]simplify: iters left: 6 (11 enodes) 1546679976.819 * * [misc]simplify: iters left: 5 (14 enodes) 1546679976.821 * * [misc]simplify: iters left: 4 (17 enodes) 1546679976.823 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679976.823 * [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))))))) 1546679976.824 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1546679976.824 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546679976.824 * * [misc]simplify: iters left: 5 (9 enodes) 1546679976.825 * * [misc]simplify: iters left: 4 (11 enodes) 1546679976.827 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546679976.827 * [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))))))) 1546679976.827 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546679976.827 * * [misc]simplify: iters left: 6 (10 enodes) 1546679976.828 * * [misc]simplify: iters left: 5 (13 enodes) 1546679976.831 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546679976.831 * [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)))))) 1546679976.831 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1546679976.832 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546679976.832 * * [misc]simplify: iters left: 5 (9 enodes) 1546679976.834 * * [misc]simplify: iters left: 4 (11 enodes) 1546679976.837 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546679976.837 * [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))))))) 1546679976.837 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546679976.837 * * [misc]simplify: iters left: 6 (10 enodes) 1546679976.840 * * [misc]simplify: iters left: 5 (13 enodes) 1546679976.843 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546679976.844 * [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)))))) 1546679976.844 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1546679976.844 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546679976.844 * * [misc]simplify: iters left: 6 (10 enodes) 1546679976.847 * * [misc]simplify: iters left: 5 (12 enodes) 1546679976.851 * * [misc]simplify: iters left: 4 (15 enodes) 1546679976.853 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546679976.853 * [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))))))) 1546679976.853 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546679976.853 * * [misc]simplify: iters left: 6 (9 enodes) 1546679976.855 * * [misc]simplify: iters left: 5 (11 enodes) 1546679976.856 * * [misc]simplify: iters left: 4 (14 enodes) 1546679976.858 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546679976.858 * [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))))))) 1546679976.859 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1546679976.859 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679976.859 * * [misc]simplify: iters left: 6 (13 enodes) 1546679976.861 * * [misc]simplify: iters left: 5 (18 enodes) 1546679976.864 * * [misc]simplify: iters left: 4 (21 enodes) 1546679976.867 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679976.867 * [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)))))))) 1546679976.867 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.867 * * [misc]simplify: iters left: 6 (12 enodes) 1546679976.869 * * [misc]simplify: iters left: 5 (15 enodes) 1546679976.871 * * [misc]simplify: iters left: 4 (18 enodes) 1546679976.874 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.874 * [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)))))))) 1546679976.874 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1546679976.874 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.874 * * [misc]simplify: iters left: 6 (12 enodes) 1546679976.876 * * [misc]simplify: iters left: 5 (15 enodes) 1546679976.878 * * [misc]simplify: iters left: 4 (18 enodes) 1546679976.881 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.881 * [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)))))))) 1546679976.881 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.881 * * [misc]simplify: iters left: 6 (12 enodes) 1546679976.883 * * [misc]simplify: iters left: 5 (15 enodes) 1546679976.885 * * [misc]simplify: iters left: 4 (18 enodes) 1546679976.888 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.888 * [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)))))))) 1546679976.888 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1546679976.888 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546679976.888 * * [misc]simplify: iters left: 4 (5 enodes) 1546679976.889 * * [misc]simplify: iters left: 3 (7 enodes) 1546679976.890 * * [misc]simplify: iters left: 2 (9 enodes) 1546679976.891 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546679976.891 * [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))))))) 1546679976.892 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679976.892 * * [misc]simplify: iters left: 6 (11 enodes) 1546679976.893 * * [misc]simplify: iters left: 5 (14 enodes) 1546679976.895 * * [misc]simplify: iters left: 4 (17 enodes) 1546679976.898 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679976.898 * [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))))))) 1546679976.898 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1546679976.898 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546679976.898 * * [misc]simplify: iters left: 5 (7 enodes) 1546679976.899 * * [misc]simplify: iters left: 4 (11 enodes) 1546679976.901 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546679976.901 * [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))))))) 1546679976.901 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546679976.901 * * [misc]simplify: iters left: 6 (9 enodes) 1546679976.902 * * [misc]simplify: iters left: 5 (12 enodes) 1546679976.904 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546679976.904 * [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)))))) 1546679976.904 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1546679976.905 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546679976.905 * * [misc]simplify: iters left: 5 (7 enodes) 1546679976.906 * * [misc]simplify: iters left: 4 (11 enodes) 1546679976.907 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546679976.907 * [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))))))) 1546679976.907 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546679976.907 * * [misc]simplify: iters left: 6 (9 enodes) 1546679976.909 * * [misc]simplify: iters left: 5 (12 enodes) 1546679976.910 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546679976.911 * [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)))))) 1546679976.911 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1546679976.911 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1546679976.911 * * [misc]simplify: iters left: 6 (9 enodes) 1546679976.912 * * [misc]simplify: iters left: 5 (13 enodes) 1546679976.914 * * [misc]simplify: iters left: 4 (16 enodes) 1546679976.917 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1546679976.917 * [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))))))) 1546679976.917 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546679976.917 * * [misc]simplify: iters left: 6 (8 enodes) 1546679976.920 * * [misc]simplify: iters left: 5 (10 enodes) 1546679976.923 * * [misc]simplify: iters left: 4 (13 enodes) 1546679976.928 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546679976.928 * [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))))))) 1546679976.928 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1546679976.929 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679976.929 * * [misc]simplify: iters left: 6 (12 enodes) 1546679976.933 * * [misc]simplify: iters left: 5 (19 enodes) 1546679976.938 * * [misc]simplify: iters left: 4 (22 enodes) 1546679976.945 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679976.945 * [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)))))))) 1546679976.945 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.945 * * [misc]simplify: iters left: 6 (11 enodes) 1546679976.948 * * [misc]simplify: iters left: 5 (14 enodes) 1546679976.953 * * [misc]simplify: iters left: 4 (17 enodes) 1546679976.958 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.958 * [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)))))))) 1546679976.958 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1546679976.958 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.958 * * [misc]simplify: iters left: 6 (11 enodes) 1546679976.962 * * [misc]simplify: iters left: 5 (16 enodes) 1546679976.965 * * [misc]simplify: iters left: 4 (19 enodes) 1546679976.967 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679976.967 * [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)))))))) 1546679976.967 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.967 * * [misc]simplify: iters left: 6 (11 enodes) 1546679976.969 * * [misc]simplify: iters left: 5 (14 enodes) 1546679976.971 * * [misc]simplify: iters left: 4 (17 enodes) 1546679976.974 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546679976.974 * [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)))))))) 1546679976.974 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1546679976.974 * [enter]simplify: Simplifying (/ 1 1) 1546679976.974 * * [misc]simplify: iters left: 2 (2 enodes) 1546679976.974 * * [misc]simplify: iters left: 1 (4 enodes) 1546679976.975 * [exit]simplify: Simplified to 1 1546679976.975 * [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))))))) 1546679976.975 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679976.975 * * [misc]simplify: iters left: 6 (10 enodes) 1546679976.977 * * [misc]simplify: iters left: 5 (13 enodes) 1546679976.978 * * [misc]simplify: iters left: 4 (16 enodes) 1546679976.981 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546679976.981 * [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))))))) 1546679976.981 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1546679976.981 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1546679976.981 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1546679976.981 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1546679976.981 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546679976.981 * * [misc]simplify: iters left: 5 (7 enodes) 1546679976.982 * * [misc]simplify: iters left: 4 (10 enodes) 1546679976.984 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546679976.984 * [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)))))) 1546679976.984 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1546679976.984 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546679976.984 * * [misc]simplify: iters left: 5 (7 enodes) 1546679976.985 * * [misc]simplify: iters left: 4 (10 enodes) 1546679976.987 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546679976.987 * [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)))))) 1546679976.987 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1546679976.987 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1546679976.987 * * [misc]simplify: iters left: 5 (6 enodes) 1546679976.988 * * [misc]simplify: iters left: 4 (8 enodes) 1546679976.989 * * [misc]simplify: iters left: 3 (11 enodes) 1546679976.991 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1546679976.991 * [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)))))) 1546679976.991 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1546679976.991 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546679976.991 * * [misc]simplify: iters left: 6 (9 enodes) 1546679976.994 * * [misc]simplify: iters left: 5 (12 enodes) 1546679976.997 * * [misc]simplify: iters left: 4 (15 enodes) 1546679977.002 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546679977.002 * [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))))))) 1546679977.002 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1546679977.002 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546679977.002 * * [misc]simplify: iters left: 6 (9 enodes) 1546679977.005 * * [misc]simplify: iters left: 5 (12 enodes) 1546679977.009 * * [misc]simplify: iters left: 4 (15 enodes) 1546679977.013 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546679977.013 * [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))))))) 1546679977.013 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1546679977.013 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546679977.013 * * [misc]simplify: iters left: 5 (8 enodes) 1546679977.016 * * [misc]simplify: iters left: 4 (11 enodes) 1546679977.019 * * [misc]simplify: iters left: 3 (14 enodes) 1546679977.023 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546679977.023 * [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)))))) 1546679977.023 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1546679977.024 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546679977.024 * * [misc]simplify: iters left: 4 (4 enodes) 1546679977.025 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546679977.025 * [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)))))) 1546679977.025 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1546679977.026 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546679977.026 * * [misc]simplify: iters left: 2 (3 enodes) 1546679977.027 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546679977.027 * [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)))))) 1546679977.027 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1546679977.027 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1546679977.027 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546679977.027 * * [misc]simplify: iters left: 3 (6 enodes) 1546679977.029 * * [misc]simplify: iters left: 2 (7 enodes) 1546679977.031 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546679977.031 * [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))))) 1546679977.032 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1546679977.032 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1546679977.032 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546679977.032 * * [misc]simplify: iters left: 6 (18 enodes) 1546679977.039 * * [misc]simplify: iters left: 5 (36 enodes) 1546679977.052 * * [misc]simplify: iters left: 4 (90 enodes) 1546679977.096 * * [misc]simplify: iters left: 3 (297 enodes) 1546679977.269 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546679977.269 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546679977.269 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1546679977.269 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546679977.269 * * [misc]simplify: iters left: 6 (18 enodes) 1546679977.273 * * [misc]simplify: iters left: 5 (36 enodes) 1546679977.280 * * [misc]simplify: iters left: 4 (90 enodes) 1546679977.305 * * [misc]simplify: iters left: 3 (297 enodes) 1546679977.428 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546679977.428 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546679977.428 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1546679977.428 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679977.429 * * [misc]simplify: iters left: 6 (18 enodes) 1546679977.435 * * [misc]simplify: iters left: 5 (34 enodes) 1546679977.447 * * [misc]simplify: iters left: 4 (78 enodes) 1546679977.468 * * [misc]simplify: iters left: 3 (217 enodes) 1546679977.581 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546679977.581 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546679977.581 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1546679977.581 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679977.581 * * [misc]simplify: iters left: 6 (17 enodes) 1546679977.587 * * [misc]simplify: iters left: 5 (30 enodes) 1546679977.598 * * [misc]simplify: iters left: 4 (65 enodes) 1546679977.628 * * [misc]simplify: iters left: 3 (170 enodes) 1546679977.672 * * [misc]simplify: iters left: 2 (315 enodes) 1546679977.813 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1546679977.813 * [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)))))) 1546679977.813 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1546679977.813 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546679977.814 * * [misc]simplify: iters left: 6 (18 enodes) 1546679977.817 * * [misc]simplify: iters left: 5 (33 enodes) 1546679977.825 * * [misc]simplify: iters left: 4 (68 enodes) 1546679977.845 * * [misc]simplify: iters left: 3 (204 enodes) 1546679977.938 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1546679977.938 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1546679977.939 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1546679977.939 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546679977.939 * * [misc]simplify: iters left: 6 (18 enodes) 1546679977.942 * * [misc]simplify: iters left: 5 (33 enodes) 1546679977.948 * * [misc]simplify: iters left: 4 (68 enodes) 1546679977.967 * * [misc]simplify: iters left: 3 (204 enodes) 1546679978.081 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1546679978.081 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1546679978.081 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1546679978.082 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679978.082 * * [misc]simplify: iters left: 6 (18 enodes) 1546679978.085 * * [misc]simplify: iters left: 5 (31 enodes) 1546679978.090 * * [misc]simplify: iters left: 4 (56 enodes) 1546679978.102 * * [misc]simplify: iters left: 3 (127 enodes) 1546679978.163 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1546679978.163 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1546679978.163 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1546679978.163 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679978.163 * * [misc]simplify: iters left: 6 (17 enodes) 1546679978.169 * * [misc]simplify: iters left: 5 (27 enodes) 1546679978.177 * * [misc]simplify: iters left: 4 (44 enodes) 1546679978.192 * * [misc]simplify: iters left: 3 (84 enodes) 1546679978.228 * * [misc]simplify: iters left: 2 (222 enodes) 1546679978.356 * [exit]simplify: Simplified to (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))) 1546679978.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))))) 1546679978.357 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1546679978.357 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546679978.357 * * [misc]simplify: iters left: 6 (19 enodes) 1546679978.364 * * [misc]simplify: iters left: 5 (38 enodes) 1546679978.377 * * [misc]simplify: iters left: 4 (77 enodes) 1546679978.409 * * [misc]simplify: iters left: 3 (215 enodes) 1546679978.523 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546679978.523 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546679978.523 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1546679978.523 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546679978.524 * * [misc]simplify: iters left: 6 (19 enodes) 1546679978.531 * * [misc]simplify: iters left: 5 (38 enodes) 1546679978.539 * * [misc]simplify: iters left: 4 (77 enodes) 1546679978.558 * * [misc]simplify: iters left: 3 (215 enodes) 1546679978.670 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546679978.670 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546679978.670 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1546679978.670 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679978.670 * * [misc]simplify: iters left: 6 (19 enodes) 1546679978.673 * * [misc]simplify: iters left: 5 (36 enodes) 1546679978.683 * * [misc]simplify: iters left: 4 (65 enodes) 1546679978.704 * * [misc]simplify: iters left: 3 (130 enodes) 1546679978.771 * * [misc]simplify: iters left: 2 (462 enodes) 1546679979.194 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1546679979.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1546679979.194 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1546679979.194 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679979.195 * * [misc]simplify: iters left: 6 (18 enodes) 1546679979.201 * * [misc]simplify: iters left: 5 (32 enodes) 1546679979.211 * * [misc]simplify: iters left: 4 (47 enodes) 1546679979.225 * * [misc]simplify: iters left: 3 (73 enodes) 1546679979.250 * * [misc]simplify: iters left: 2 (156 enodes) 1546679979.353 * [exit]simplify: Simplified to (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1546679979.353 * [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)))))) 1546679979.353 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1546679979.353 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546679979.353 * * [misc]simplify: iters left: 6 (19 enodes) 1546679979.360 * * [misc]simplify: iters left: 5 (40 enodes) 1546679979.366 * * [misc]simplify: iters left: 4 (82 enodes) 1546679979.394 * * [misc]simplify: iters left: 3 (210 enodes) 1546679979.500 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546679979.500 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546679979.500 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1546679979.500 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546679979.500 * * [misc]simplify: iters left: 6 (19 enodes) 1546679979.509 * * [misc]simplify: iters left: 5 (40 enodes) 1546679979.520 * * [misc]simplify: iters left: 4 (82 enodes) 1546679979.537 * * [misc]simplify: iters left: 3 (210 enodes) 1546679979.623 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546679979.623 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546679979.623 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1546679979.624 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679979.624 * * [misc]simplify: iters left: 6 (19 enodes) 1546679979.627 * * [misc]simplify: iters left: 5 (38 enodes) 1546679979.634 * * [misc]simplify: iters left: 4 (70 enodes) 1546679979.646 * * [misc]simplify: iters left: 3 (133 enodes) 1546679979.719 * * [misc]simplify: iters left: 2 (490 enodes) 1546679980.074 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546679980.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546679980.074 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1546679980.074 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679980.074 * * [misc]simplify: iters left: 6 (18 enodes) 1546679980.078 * * [misc]simplify: iters left: 5 (34 enodes) 1546679980.083 * * [misc]simplify: iters left: 4 (56 enodes) 1546679980.092 * * [misc]simplify: iters left: 3 (83 enodes) 1546679980.126 * * [misc]simplify: iters left: 2 (189 enodes) 1546679980.239 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))) 1546679980.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))))) 1546679980.240 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1546679980.240 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1546679980.240 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1546679980.240 * [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)))))) 1546679980.240 * * [misc]simplify: iters left: 6 (22 enodes) 1546679980.245 * * [misc]simplify: iters left: 5 (49 enodes) 1546679980.255 * * [misc]simplify: iters left: 4 (146 enodes) 1546679980.345 * [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)))))) 1546679980.345 * [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)))))))) 1546679980.345 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1546679980.345 * [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)))))) 1546679980.346 * * [misc]simplify: iters left: 6 (20 enodes) 1546679980.350 * * [misc]simplify: iters left: 5 (48 enodes) 1546679980.361 * * [misc]simplify: iters left: 4 (131 enodes) 1546679980.447 * [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)))))) 1546679980.447 * [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)))))))) 1546679980.447 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1546679980.448 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1546679980.448 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1546679980.448 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1546679980.448 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1546679980.448 * [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))))))) 1546679980.448 * * [misc]simplify: iters left: 6 (20 enodes) 1546679980.455 * * [misc]simplify: iters left: 5 (33 enodes) 1546679980.460 * * [misc]simplify: iters left: 4 (46 enodes) 1546679980.467 * * [misc]simplify: iters left: 3 (53 enodes) 1546679980.474 * * [misc]simplify: iters left: 2 (56 enodes) 1546679980.482 * [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))))))) 1546679980.482 * [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)))))))) 1546679980.483 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679980.483 * * [misc]simplify: iters left: 6 (18 enodes) 1546679980.489 * * [misc]simplify: iters left: 5 (25 enodes) 1546679980.496 * * [misc]simplify: iters left: 4 (29 enodes) 1546679980.504 * * [misc]simplify: iters left: 3 (33 enodes) 1546679980.513 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546679980.513 * [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)))))))) 1546679980.513 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1546679980.514 * [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)))))) 1546679980.514 * * [misc]simplify: iters left: 6 (19 enodes) 1546679980.518 * * [misc]simplify: iters left: 5 (28 enodes) 1546679980.522 * * [misc]simplify: iters left: 4 (34 enodes) 1546679980.528 * * [misc]simplify: iters left: 3 (39 enodes) 1546679980.533 * [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)))))) 1546679980.533 * [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)))))))) 1546679980.533 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679980.533 * * [misc]simplify: iters left: 6 (18 enodes) 1546679980.536 * * [misc]simplify: iters left: 5 (25 enodes) 1546679980.540 * * [misc]simplify: iters left: 4 (29 enodes) 1546679980.548 * * [misc]simplify: iters left: 3 (33 enodes) 1546679980.557 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546679980.557 * [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)))))))) 1546679980.557 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1546679980.558 * [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))) 1546679980.558 * * [misc]simplify: iters left: 6 (20 enodes) 1546679980.565 * * [misc]simplify: iters left: 5 (34 enodes) 1546679980.576 * * [misc]simplify: iters left: 4 (53 enodes) 1546679980.594 * * [misc]simplify: iters left: 3 (98 enodes) 1546679980.619 * * [misc]simplify: iters left: 2 (155 enodes) 1546679980.655 * * [misc]simplify: iters left: 1 (186 enodes) 1546679980.702 * [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)))))) 1546679980.702 * [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))))))) 1546679980.703 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679980.703 * * [misc]simplify: iters left: 6 (19 enodes) 1546679980.710 * * [misc]simplify: iters left: 5 (29 enodes) 1546679980.718 * * [misc]simplify: iters left: 4 (34 enodes) 1546679980.726 * * [misc]simplify: iters left: 3 (40 enodes) 1546679980.731 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546679980.731 * [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)))))) 1546679980.731 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1546679980.731 * [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))) 1546679980.731 * * [misc]simplify: iters left: 6 (20 enodes) 1546679980.735 * * [misc]simplify: iters left: 5 (34 enodes) 1546679980.740 * * [misc]simplify: iters left: 4 (53 enodes) 1546679980.750 * * [misc]simplify: iters left: 3 (98 enodes) 1546679980.776 * * [misc]simplify: iters left: 2 (155 enodes) 1546679980.830 * * [misc]simplify: iters left: 1 (186 enodes) 1546679980.894 * [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)))))) 1546679980.894 * [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))))))) 1546679980.894 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679980.894 * * [misc]simplify: iters left: 6 (19 enodes) 1546679980.902 * * [misc]simplify: iters left: 5 (29 enodes) 1546679980.910 * * [misc]simplify: iters left: 4 (34 enodes) 1546679980.921 * * [misc]simplify: iters left: 3 (40 enodes) 1546679980.929 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546679980.929 * [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)))))) 1546679980.929 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1546679980.929 * [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))))) 1546679980.930 * * [misc]simplify: iters left: 6 (19 enodes) 1546679980.933 * * [misc]simplify: iters left: 5 (31 enodes) 1546679980.938 * * [misc]simplify: iters left: 4 (50 enodes) 1546679980.947 * * [misc]simplify: iters left: 3 (95 enodes) 1546679980.969 * * [misc]simplify: iters left: 2 (150 enodes) 1546679981.003 * * [misc]simplify: iters left: 1 (181 enodes) 1546679981.049 * [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)))))) 1546679981.049 * [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))))))) 1546679981.049 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679981.049 * * [misc]simplify: iters left: 6 (16 enodes) 1546679981.055 * * [misc]simplify: iters left: 5 (24 enodes) 1546679981.062 * * [misc]simplify: iters left: 4 (31 enodes) 1546679981.069 * * [misc]simplify: iters left: 3 (37 enodes) 1546679981.074 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679981.074 * [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))))))) 1546679981.074 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1546679981.074 * [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))))))) 1546679981.074 * * [misc]simplify: iters left: 6 (22 enodes) 1546679981.079 * * [misc]simplify: iters left: 5 (39 enodes) 1546679981.085 * * [misc]simplify: iters left: 4 (74 enodes) 1546679981.100 * * [misc]simplify: iters left: 3 (149 enodes) 1546679981.133 * * [misc]simplify: iters left: 2 (277 enodes) 1546679981.253 * * [misc]simplify: iters left: 1 (387 enodes) 1546679981.464 * [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))))) 1546679981.465 * [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)))))))) 1546679981.465 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679981.465 * * [misc]simplify: iters left: 6 (19 enodes) 1546679981.470 * * [misc]simplify: iters left: 5 (28 enodes) 1546679981.474 * * [misc]simplify: iters left: 4 (35 enodes) 1546679981.479 * * [misc]simplify: iters left: 3 (41 enodes) 1546679981.484 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546679981.485 * [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))))) 1546679981.485 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1546679981.485 * [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)))))) 1546679981.485 * * [misc]simplify: iters left: 6 (21 enodes) 1546679981.489 * * [misc]simplify: iters left: 5 (34 enodes) 1546679981.494 * * [misc]simplify: iters left: 4 (53 enodes) 1546679981.503 * * [misc]simplify: iters left: 3 (98 enodes) 1546679981.529 * * [misc]simplify: iters left: 2 (151 enodes) 1546679981.583 * * [misc]simplify: iters left: 1 (184 enodes) 1546679981.650 * [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)))))) 1546679981.650 * [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)))))))) 1546679981.650 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679981.650 * * [misc]simplify: iters left: 6 (19 enodes) 1546679981.657 * * [misc]simplify: iters left: 5 (28 enodes) 1546679981.665 * * [misc]simplify: iters left: 4 (35 enodes) 1546679981.675 * * [misc]simplify: iters left: 3 (41 enodes) 1546679981.685 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546679981.685 * [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))))) 1546679981.685 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1546679981.686 * [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)) 1546679981.686 * * [misc]simplify: iters left: 6 (17 enodes) 1546679981.692 * * [misc]simplify: iters left: 5 (29 enodes) 1546679981.704 * * [misc]simplify: iters left: 4 (51 enodes) 1546679981.720 * * [misc]simplify: iters left: 3 (95 enodes) 1546679981.746 * * [misc]simplify: iters left: 2 (277 enodes) 1546679981.856 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546679981.856 * [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))))))) 1546679981.856 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679981.856 * * [misc]simplify: iters left: 6 (18 enodes) 1546679981.862 * * [misc]simplify: iters left: 5 (27 enodes) 1546679981.866 * * [misc]simplify: iters left: 4 (34 enodes) 1546679981.871 * * [misc]simplify: iters left: 3 (40 enodes) 1546679981.877 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679981.877 * [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))))))) 1546679981.877 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1546679981.877 * [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))) 1546679981.877 * * [misc]simplify: iters left: 6 (19 enodes) 1546679981.881 * * [misc]simplify: iters left: 5 (31 enodes) 1546679981.888 * * [misc]simplify: iters left: 4 (42 enodes) 1546679981.900 * * [misc]simplify: iters left: 3 (58 enodes) 1546679981.914 * * [misc]simplify: iters left: 2 (70 enodes) 1546679981.924 * * [misc]simplify: iters left: 1 (76 enodes) 1546679981.935 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546679981.935 * [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))))))) 1546679981.935 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679981.935 * * [misc]simplify: iters left: 6 (19 enodes) 1546679981.939 * * [misc]simplify: iters left: 5 (29 enodes) 1546679981.943 * * [misc]simplify: iters left: 4 (34 enodes) 1546679981.950 * * [misc]simplify: iters left: 3 (40 enodes) 1546679981.960 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546679981.960 * [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)))))) 1546679981.960 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1546679981.960 * [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))) 1546679981.961 * * [misc]simplify: iters left: 6 (19 enodes) 1546679981.967 * * [misc]simplify: iters left: 5 (31 enodes) 1546679981.975 * * [misc]simplify: iters left: 4 (42 enodes) 1546679981.981 * * [misc]simplify: iters left: 3 (58 enodes) 1546679981.989 * * [misc]simplify: iters left: 2 (70 enodes) 1546679981.999 * * [misc]simplify: iters left: 1 (76 enodes) 1546679982.015 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546679982.015 * [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))))))) 1546679982.015 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679982.015 * * [misc]simplify: iters left: 6 (19 enodes) 1546679982.022 * * [misc]simplify: iters left: 5 (29 enodes) 1546679982.030 * * [misc]simplify: iters left: 4 (34 enodes) 1546679982.036 * * [misc]simplify: iters left: 3 (40 enodes) 1546679982.041 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546679982.041 * [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)))))) 1546679982.041 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1546679982.041 * [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))))) 1546679982.042 * * [misc]simplify: iters left: 6 (18 enodes) 1546679982.045 * * [misc]simplify: iters left: 5 (28 enodes) 1546679982.049 * * [misc]simplify: iters left: 4 (39 enodes) 1546679982.055 * * [misc]simplify: iters left: 3 (55 enodes) 1546679982.063 * * [misc]simplify: iters left: 2 (67 enodes) 1546679982.077 * * [misc]simplify: iters left: 1 (73 enodes) 1546679982.097 * [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))))) 1546679982.098 * [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))))))) 1546679982.098 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679982.098 * * [misc]simplify: iters left: 6 (16 enodes) 1546679982.104 * * [misc]simplify: iters left: 5 (24 enodes) 1546679982.107 * * [misc]simplify: iters left: 4 (31 enodes) 1546679982.112 * * [misc]simplify: iters left: 3 (37 enodes) 1546679982.117 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679982.117 * [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))))))) 1546679982.117 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1546679982.117 * [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))))))) 1546679982.117 * * [misc]simplify: iters left: 6 (21 enodes) 1546679982.121 * * [misc]simplify: iters left: 5 (34 enodes) 1546679982.126 * * [misc]simplify: iters left: 4 (49 enodes) 1546679982.135 * * [misc]simplify: iters left: 3 (79 enodes) 1546679982.148 * * [misc]simplify: iters left: 2 (118 enodes) 1546679982.170 * * [misc]simplify: iters left: 1 (151 enodes) 1546679982.196 * [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))) 1546679982.196 * [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)))))))) 1546679982.196 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679982.196 * * [misc]simplify: iters left: 6 (19 enodes) 1546679982.200 * * [misc]simplify: iters left: 5 (28 enodes) 1546679982.204 * * [misc]simplify: iters left: 4 (35 enodes) 1546679982.210 * * [misc]simplify: iters left: 3 (41 enodes) 1546679982.215 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546679982.215 * [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))))) 1546679982.216 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1546679982.216 * [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)))))) 1546679982.216 * * [misc]simplify: iters left: 6 (20 enodes) 1546679982.220 * * [misc]simplify: iters left: 5 (31 enodes) 1546679982.225 * * [misc]simplify: iters left: 4 (42 enodes) 1546679982.235 * * [misc]simplify: iters left: 3 (58 enodes) 1546679982.251 * * [misc]simplify: iters left: 2 (70 enodes) 1546679982.270 * * [misc]simplify: iters left: 1 (76 enodes) 1546679982.291 * [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)))) 1546679982.291 * [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)))))))) 1546679982.292 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679982.292 * * [misc]simplify: iters left: 6 (19 enodes) 1546679982.299 * * [misc]simplify: iters left: 5 (28 enodes) 1546679982.307 * * [misc]simplify: iters left: 4 (35 enodes) 1546679982.317 * * [misc]simplify: iters left: 3 (41 enodes) 1546679982.328 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546679982.328 * [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))))) 1546679982.328 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1546679982.328 * [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)) 1546679982.329 * * [misc]simplify: iters left: 6 (16 enodes) 1546679982.335 * * [misc]simplify: iters left: 5 (26 enodes) 1546679982.343 * * [misc]simplify: iters left: 4 (38 enodes) 1546679982.353 * * [misc]simplify: iters left: 3 (50 enodes) 1546679982.366 * * [misc]simplify: iters left: 2 (51 enodes) 1546679982.375 * * [misc]simplify: iters left: 1 (57 enodes) 1546679982.388 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546679982.388 * [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))))))) 1546679982.389 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679982.389 * * [misc]simplify: iters left: 6 (18 enodes) 1546679982.395 * * [misc]simplify: iters left: 5 (27 enodes) 1546679982.403 * * [misc]simplify: iters left: 4 (34 enodes) 1546679982.414 * * [misc]simplify: iters left: 3 (40 enodes) 1546679982.424 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679982.424 * [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))))))) 1546679982.424 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1546679982.425 * [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))) 1546679982.425 * * [misc]simplify: iters left: 6 (17 enodes) 1546679982.433 * * [misc]simplify: iters left: 5 (29 enodes) 1546679982.441 * * [misc]simplify: iters left: 4 (40 enodes) 1546679982.453 * * [misc]simplify: iters left: 3 (59 enodes) 1546679982.463 * * [misc]simplify: iters left: 2 (81 enodes) 1546679982.476 * * [misc]simplify: iters left: 1 (160 enodes) 1546679982.529 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546679982.529 * [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))))))) 1546679982.529 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546679982.529 * * [misc]simplify: iters left: 6 (18 enodes) 1546679982.534 * * [misc]simplify: iters left: 5 (28 enodes) 1546679982.538 * * [misc]simplify: iters left: 4 (33 enodes) 1546679982.543 * * [misc]simplify: iters left: 3 (39 enodes) 1546679982.547 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546679982.548 * [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)))))) 1546679982.548 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1546679982.548 * [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))) 1546679982.548 * * [misc]simplify: iters left: 6 (17 enodes) 1546679982.551 * * [misc]simplify: iters left: 5 (29 enodes) 1546679982.555 * * [misc]simplify: iters left: 4 (40 enodes) 1546679982.562 * * [misc]simplify: iters left: 3 (59 enodes) 1546679982.574 * * [misc]simplify: iters left: 2 (81 enodes) 1546679982.593 * * [misc]simplify: iters left: 1 (160 enodes) 1546679982.641 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546679982.641 * [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))))))) 1546679982.641 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546679982.642 * * [misc]simplify: iters left: 6 (18 enodes) 1546679982.648 * * [misc]simplify: iters left: 5 (28 enodes) 1546679982.652 * * [misc]simplify: iters left: 4 (33 enodes) 1546679982.657 * * [misc]simplify: iters left: 3 (39 enodes) 1546679982.662 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546679982.662 * [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)))))) 1546679982.662 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1546679982.662 * [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))))) 1546679982.662 * * [misc]simplify: iters left: 6 (16 enodes) 1546679982.665 * * [misc]simplify: iters left: 5 (26 enodes) 1546679982.669 * * [misc]simplify: iters left: 4 (37 enodes) 1546679982.675 * * [misc]simplify: iters left: 3 (56 enodes) 1546679982.683 * * [misc]simplify: iters left: 2 (78 enodes) 1546679982.698 * * [misc]simplify: iters left: 1 (140 enodes) 1546679982.731 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546679982.731 * [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))))))) 1546679982.731 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546679982.731 * * [misc]simplify: iters left: 6 (15 enodes) 1546679982.734 * * [misc]simplify: iters left: 5 (23 enodes) 1546679982.738 * * [misc]simplify: iters left: 4 (30 enodes) 1546679982.743 * * [misc]simplify: iters left: 3 (36 enodes) 1546679982.747 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546679982.747 * [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))))))) 1546679982.748 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1546679982.748 * [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))))))) 1546679982.748 * * [misc]simplify: iters left: 6 (19 enodes) 1546679982.752 * * [misc]simplify: iters left: 5 (32 enodes) 1546679982.757 * * [misc]simplify: iters left: 4 (47 enodes) 1546679982.765 * * [misc]simplify: iters left: 3 (78 enodes) 1546679982.778 * * [misc]simplify: iters left: 2 (146 enodes) 1546679982.835 * * [misc]simplify: iters left: 1 (394 enodes) 1546679983.051 * [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)))))) 1546679983.051 * [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)))))))) 1546679983.051 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679983.051 * * [misc]simplify: iters left: 6 (18 enodes) 1546679983.058 * * [misc]simplify: iters left: 5 (27 enodes) 1546679983.065 * * [misc]simplify: iters left: 4 (34 enodes) 1546679983.075 * * [misc]simplify: iters left: 3 (40 enodes) 1546679983.086 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546679983.086 * [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)))))))) 1546679983.086 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1546679983.086 * [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)))))) 1546679983.086 * * [misc]simplify: iters left: 6 (18 enodes) 1546679983.090 * * [misc]simplify: iters left: 5 (29 enodes) 1546679983.095 * * [misc]simplify: iters left: 4 (40 enodes) 1546679983.101 * * [misc]simplify: iters left: 3 (59 enodes) 1546679983.115 * * [misc]simplify: iters left: 2 (81 enodes) 1546679983.141 * * [misc]simplify: iters left: 1 (161 enodes) 1546679983.209 * [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)))))) 1546679983.210 * [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)))))))) 1546679983.210 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679983.210 * * [misc]simplify: iters left: 6 (18 enodes) 1546679983.217 * * [misc]simplify: iters left: 5 (27 enodes) 1546679983.224 * * [misc]simplify: iters left: 4 (34 enodes) 1546679983.234 * * [misc]simplify: iters left: 3 (40 enodes) 1546679983.244 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546679983.244 * [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)))))))) 1546679983.244 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1546679983.244 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1546679983.245 * * [misc]simplify: iters left: 6 (14 enodes) 1546679983.249 * * [misc]simplify: iters left: 5 (21 enodes) 1546679983.256 * * [misc]simplify: iters left: 4 (29 enodes) 1546679983.264 * * [misc]simplify: iters left: 3 (39 enodes) 1546679983.274 * * [misc]simplify: iters left: 2 (51 enodes) 1546679983.287 * * [misc]simplify: iters left: 1 (79 enodes) 1546679983.306 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546679983.306 * [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))))))) 1546679983.306 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679983.306 * * [misc]simplify: iters left: 6 (17 enodes) 1546679983.311 * * [misc]simplify: iters left: 5 (26 enodes) 1546679983.315 * * [misc]simplify: iters left: 4 (33 enodes) 1546679983.320 * * [misc]simplify: iters left: 3 (39 enodes) 1546679983.325 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679983.325 * [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))))))) 1546679983.325 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1546679983.325 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1546679983.325 * * [misc]simplify: iters left: 6 (13 enodes) 1546679983.328 * * [misc]simplify: iters left: 5 (21 enodes) 1546679983.331 * * [misc]simplify: iters left: 4 (31 enodes) 1546679983.335 * * [misc]simplify: iters left: 3 (46 enodes) 1546679983.344 * * [misc]simplify: iters left: 2 (72 enodes) 1546679983.363 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546679983.363 * [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))))))) 1546679983.363 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679983.363 * * [misc]simplify: iters left: 6 (17 enodes) 1546679983.369 * * [misc]simplify: iters left: 5 (26 enodes) 1546679983.377 * * [misc]simplify: iters left: 4 (33 enodes) 1546679983.387 * * [misc]simplify: iters left: 3 (39 enodes) 1546679983.397 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679983.397 * [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))))))) 1546679983.397 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1546679983.398 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1546679983.398 * * [misc]simplify: iters left: 6 (14 enodes) 1546679983.403 * * [misc]simplify: iters left: 5 (22 enodes) 1546679983.409 * * [misc]simplify: iters left: 4 (28 enodes) 1546679983.418 * * [misc]simplify: iters left: 3 (33 enodes) 1546679983.426 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546679983.426 * [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))))))) 1546679983.427 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546679983.427 * * [misc]simplify: iters left: 6 (16 enodes) 1546679983.433 * * [misc]simplify: iters left: 5 (25 enodes) 1546679983.440 * * [misc]simplify: iters left: 4 (32 enodes) 1546679983.452 * * [misc]simplify: iters left: 3 (45 enodes) 1546679983.463 * * [misc]simplify: iters left: 2 (47 enodes) 1546679983.473 * * [misc]simplify: iters left: 1 (52 enodes) 1546679983.484 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546679983.486 * [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))))))) 1546679983.486 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1546679983.486 * [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))) 1546679983.486 * * [misc]simplify: iters left: 6 (18 enodes) 1546679983.493 * * [misc]simplify: iters left: 5 (30 enodes) 1546679983.502 * * [misc]simplify: iters left: 4 (41 enodes) 1546679983.514 * * [misc]simplify: iters left: 3 (57 enodes) 1546679983.529 * * [misc]simplify: iters left: 2 (69 enodes) 1546679983.546 * * [misc]simplify: iters left: 1 (75 enodes) 1546679983.566 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1546679983.567 * [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))))) 1546679983.567 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1546679983.567 * * [misc]simplify: iters left: 6 (15 enodes) 1546679983.572 * * [misc]simplify: iters left: 5 (22 enodes) 1546679983.577 * * [misc]simplify: iters left: 4 (26 enodes) 1546679983.581 * * [misc]simplify: iters left: 3 (30 enodes) 1546679983.585 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1546679983.585 * [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))))) 1546679983.585 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1546679983.585 * [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))))))) 1546679983.585 * * [misc]simplify: iters left: 6 (19 enodes) 1546679983.589 * * [misc]simplify: iters left: 5 (28 enodes) 1546679983.595 * * [misc]simplify: iters left: 4 (32 enodes) 1546679983.600 * * [misc]simplify: iters left: 3 (36 enodes) 1546679983.605 * [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)))))) 1546679983.605 * [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)))))))) 1546679983.605 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679983.605 * * [misc]simplify: iters left: 6 (18 enodes) 1546679983.608 * * [misc]simplify: iters left: 5 (25 enodes) 1546679983.612 * * [misc]simplify: iters left: 4 (29 enodes) 1546679983.616 * * [misc]simplify: iters left: 3 (33 enodes) 1546679983.620 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546679983.620 * [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)))))))) 1546679983.621 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1546679983.621 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679983.621 * * [misc]simplify: iters left: 6 (18 enodes) 1546679983.624 * * [misc]simplify: iters left: 5 (25 enodes) 1546679983.627 * * [misc]simplify: iters left: 4 (29 enodes) 1546679983.632 * * [misc]simplify: iters left: 3 (33 enodes) 1546679983.636 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546679983.636 * [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)))))))) 1546679983.636 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679983.637 * * [misc]simplify: iters left: 6 (18 enodes) 1546679983.640 * * [misc]simplify: iters left: 5 (25 enodes) 1546679983.643 * * [misc]simplify: iters left: 4 (29 enodes) 1546679983.648 * * [misc]simplify: iters left: 3 (33 enodes) 1546679983.657 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546679983.657 * [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)))))))) 1546679983.657 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1546679983.657 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546679983.657 * * [misc]simplify: iters left: 6 (19 enodes) 1546679983.664 * * [misc]simplify: iters left: 5 (31 enodes) 1546679983.673 * * [misc]simplify: iters left: 4 (42 enodes) 1546679983.686 * * [misc]simplify: iters left: 3 (58 enodes) 1546679983.701 * * [misc]simplify: iters left: 2 (63 enodes) 1546679983.713 * * [misc]simplify: iters left: 1 (70 enodes) 1546679983.722 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1546679983.722 * [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))))))) 1546679983.722 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679983.723 * * [misc]simplify: iters left: 6 (19 enodes) 1546679983.726 * * [misc]simplify: iters left: 5 (29 enodes) 1546679983.730 * * [misc]simplify: iters left: 4 (34 enodes) 1546679983.735 * * [misc]simplify: iters left: 3 (40 enodes) 1546679983.740 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546679983.740 * [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)))))) 1546679983.740 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1546679983.741 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546679983.741 * * [misc]simplify: iters left: 6 (19 enodes) 1546679983.744 * * [misc]simplify: iters left: 5 (31 enodes) 1546679983.749 * * [misc]simplify: iters left: 4 (42 enodes) 1546679983.755 * * [misc]simplify: iters left: 3 (58 enodes) 1546679983.764 * * [misc]simplify: iters left: 2 (63 enodes) 1546679983.771 * * [misc]simplify: iters left: 1 (70 enodes) 1546679983.780 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1546679983.780 * [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))))))) 1546679983.780 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679983.780 * * [misc]simplify: iters left: 6 (19 enodes) 1546679983.784 * * [misc]simplify: iters left: 5 (29 enodes) 1546679983.787 * * [misc]simplify: iters left: 4 (34 enodes) 1546679983.794 * * [misc]simplify: iters left: 3 (40 enodes) 1546679983.802 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546679983.802 * [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)))))) 1546679983.802 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1546679983.802 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546679983.803 * * [misc]simplify: iters left: 6 (18 enodes) 1546679983.809 * * [misc]simplify: iters left: 5 (28 enodes) 1546679983.816 * * [misc]simplify: iters left: 4 (39 enodes) 1546679983.823 * * [misc]simplify: iters left: 3 (55 enodes) 1546679983.831 * * [misc]simplify: iters left: 2 (60 enodes) 1546679983.838 * * [misc]simplify: iters left: 1 (67 enodes) 1546679983.847 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546679983.847 * [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))))))) 1546679983.847 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679983.847 * * [misc]simplify: iters left: 6 (16 enodes) 1546679983.853 * * [misc]simplify: iters left: 5 (24 enodes) 1546679983.860 * * [misc]simplify: iters left: 4 (31 enodes) 1546679983.869 * * [misc]simplify: iters left: 3 (37 enodes) 1546679983.879 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679983.879 * [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))))))) 1546679983.879 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1546679983.879 * [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))))))) 1546679983.880 * * [misc]simplify: iters left: 6 (21 enodes) 1546679983.887 * * [misc]simplify: iters left: 5 (36 enodes) 1546679983.898 * * [misc]simplify: iters left: 4 (58 enodes) 1546679983.908 * * [misc]simplify: iters left: 3 (85 enodes) 1546679983.922 * * [misc]simplify: iters left: 2 (115 enodes) 1546679983.940 * * [misc]simplify: iters left: 1 (139 enodes) 1546679983.986 * [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)))))) 1546679983.986 * [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)))))))) 1546679983.986 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679983.986 * * [misc]simplify: iters left: 6 (19 enodes) 1546679983.993 * * [misc]simplify: iters left: 5 (28 enodes) 1546679984.001 * * [misc]simplify: iters left: 4 (35 enodes) 1546679984.011 * * [misc]simplify: iters left: 3 (41 enodes) 1546679984.022 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546679984.022 * [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))))) 1546679984.022 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1546679984.022 * [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)))))) 1546679984.022 * * [misc]simplify: iters left: 6 (20 enodes) 1546679984.031 * * [misc]simplify: iters left: 5 (31 enodes) 1546679984.040 * * [misc]simplify: iters left: 4 (42 enodes) 1546679984.053 * * [misc]simplify: iters left: 3 (58 enodes) 1546679984.069 * * [misc]simplify: iters left: 2 (63 enodes) 1546679984.084 * * [misc]simplify: iters left: 1 (70 enodes) 1546679984.102 * [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)))))) 1546679984.102 * [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)))))))) 1546679984.103 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679984.103 * * [misc]simplify: iters left: 6 (19 enodes) 1546679984.109 * * [misc]simplify: iters left: 5 (28 enodes) 1546679984.117 * * [misc]simplify: iters left: 4 (35 enodes) 1546679984.128 * * [misc]simplify: iters left: 3 (41 enodes) 1546679984.135 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546679984.135 * [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))))) 1546679984.135 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1546679984.135 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546679984.135 * * [misc]simplify: iters left: 6 (16 enodes) 1546679984.138 * * [misc]simplify: iters left: 5 (26 enodes) 1546679984.142 * * [misc]simplify: iters left: 4 (41 enodes) 1546679984.148 * * [misc]simplify: iters left: 3 (63 enodes) 1546679984.158 * * [misc]simplify: iters left: 2 (129 enodes) 1546679984.203 * * [misc]simplify: iters left: 1 (190 enodes) 1546679984.220 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679984.220 * [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))))))) 1546679984.220 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679984.221 * * [misc]simplify: iters left: 6 (18 enodes) 1546679984.224 * * [misc]simplify: iters left: 5 (27 enodes) 1546679984.229 * * [misc]simplify: iters left: 4 (34 enodes) 1546679984.239 * * [misc]simplify: iters left: 3 (40 enodes) 1546679984.244 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679984.244 * [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))))))) 1546679984.244 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1546679984.245 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546679984.245 * * [misc]simplify: iters left: 6 (18 enodes) 1546679984.248 * * [misc]simplify: iters left: 5 (28 enodes) 1546679984.252 * * [misc]simplify: iters left: 4 (35 enodes) 1546679984.258 * * [misc]simplify: iters left: 3 (41 enodes) 1546679984.264 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1546679984.264 * [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))))))) 1546679984.264 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679984.264 * * [misc]simplify: iters left: 6 (19 enodes) 1546679984.268 * * [misc]simplify: iters left: 5 (29 enodes) 1546679984.272 * * [misc]simplify: iters left: 4 (34 enodes) 1546679984.282 * * [misc]simplify: iters left: 3 (40 enodes) 1546679984.292 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546679984.292 * [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)))))) 1546679984.293 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1546679984.293 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546679984.293 * * [misc]simplify: iters left: 6 (18 enodes) 1546679984.299 * * [misc]simplify: iters left: 5 (28 enodes) 1546679984.307 * * [misc]simplify: iters left: 4 (35 enodes) 1546679984.317 * * [misc]simplify: iters left: 3 (41 enodes) 1546679984.327 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1546679984.327 * [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))))))) 1546679984.328 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679984.328 * * [misc]simplify: iters left: 6 (19 enodes) 1546679984.335 * * [misc]simplify: iters left: 5 (29 enodes) 1546679984.343 * * [misc]simplify: iters left: 4 (34 enodes) 1546679984.353 * * [misc]simplify: iters left: 3 (40 enodes) 1546679984.363 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546679984.363 * [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)))))) 1546679984.363 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1546679984.363 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546679984.364 * * [misc]simplify: iters left: 6 (17 enodes) 1546679984.367 * * [misc]simplify: iters left: 5 (25 enodes) 1546679984.370 * * [misc]simplify: iters left: 4 (32 enodes) 1546679984.375 * * [misc]simplify: iters left: 3 (38 enodes) 1546679984.380 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546679984.380 * [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))))))) 1546679984.380 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679984.380 * * [misc]simplify: iters left: 6 (16 enodes) 1546679984.383 * * [misc]simplify: iters left: 5 (24 enodes) 1546679984.388 * * [misc]simplify: iters left: 4 (31 enodes) 1546679984.394 * * [misc]simplify: iters left: 3 (37 enodes) 1546679984.403 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679984.403 * [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))))))) 1546679984.403 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1546679984.404 * [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))))))) 1546679984.404 * * [misc]simplify: iters left: 6 (20 enodes) 1546679984.411 * * [misc]simplify: iters left: 5 (31 enodes) 1546679984.420 * * [misc]simplify: iters left: 4 (40 enodes) 1546679984.432 * * [misc]simplify: iters left: 3 (53 enodes) 1546679984.447 * * [misc]simplify: iters left: 2 (61 enodes) 1546679984.461 * * [misc]simplify: iters left: 1 (63 enodes) 1546679984.478 * [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)))))) 1546679984.478 * [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)))))))) 1546679984.478 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679984.478 * * [misc]simplify: iters left: 6 (19 enodes) 1546679984.485 * * [misc]simplify: iters left: 5 (28 enodes) 1546679984.493 * * [misc]simplify: iters left: 4 (35 enodes) 1546679984.503 * * [misc]simplify: iters left: 3 (41 enodes) 1546679984.514 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546679984.514 * [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))))) 1546679984.514 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1546679984.514 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679984.514 * * [misc]simplify: iters left: 6 (19 enodes) 1546679984.521 * * [misc]simplify: iters left: 5 (28 enodes) 1546679984.529 * * [misc]simplify: iters left: 4 (35 enodes) 1546679984.539 * * [misc]simplify: iters left: 3 (41 enodes) 1546679984.545 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546679984.545 * [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)))))))) 1546679984.545 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679984.546 * * [misc]simplify: iters left: 6 (19 enodes) 1546679984.549 * * [misc]simplify: iters left: 5 (28 enodes) 1546679984.553 * * [misc]simplify: iters left: 4 (35 enodes) 1546679984.559 * * [misc]simplify: iters left: 3 (41 enodes) 1546679984.565 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546679984.565 * [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))))) 1546679984.565 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1546679984.566 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1546679984.566 * * [misc]simplify: iters left: 6 (15 enodes) 1546679984.571 * * [misc]simplify: iters left: 5 (23 enodes) 1546679984.579 * * [misc]simplify: iters left: 4 (34 enodes) 1546679984.587 * * [misc]simplify: iters left: 3 (39 enodes) 1546679984.596 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546679984.597 * [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))))))) 1546679984.597 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679984.597 * * [misc]simplify: iters left: 6 (18 enodes) 1546679984.604 * * [misc]simplify: iters left: 5 (27 enodes) 1546679984.611 * * [misc]simplify: iters left: 4 (34 enodes) 1546679984.621 * * [misc]simplify: iters left: 3 (40 enodes) 1546679984.631 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679984.631 * [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))))))) 1546679984.631 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1546679984.631 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1546679984.632 * * [misc]simplify: iters left: 6 (16 enodes) 1546679984.637 * * [misc]simplify: iters left: 5 (26 enodes) 1546679984.645 * * [misc]simplify: iters left: 4 (33 enodes) 1546679984.655 * * [misc]simplify: iters left: 3 (46 enodes) 1546679984.666 * * [misc]simplify: iters left: 2 (48 enodes) 1546679984.675 * * [misc]simplify: iters left: 1 (53 enodes) 1546679984.688 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546679984.688 * [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))))))) 1546679984.689 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546679984.689 * * [misc]simplify: iters left: 6 (18 enodes) 1546679984.696 * * [misc]simplify: iters left: 5 (28 enodes) 1546679984.703 * * [misc]simplify: iters left: 4 (33 enodes) 1546679984.718 * * [misc]simplify: iters left: 3 (39 enodes) 1546679984.728 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546679984.728 * [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)))))) 1546679984.728 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1546679984.728 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1546679984.729 * * [misc]simplify: iters left: 6 (16 enodes) 1546679984.735 * * [misc]simplify: iters left: 5 (26 enodes) 1546679984.742 * * [misc]simplify: iters left: 4 (33 enodes) 1546679984.752 * * [misc]simplify: iters left: 3 (46 enodes) 1546679984.764 * * [misc]simplify: iters left: 2 (48 enodes) 1546679984.768 * * [misc]simplify: iters left: 1 (53 enodes) 1546679984.775 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546679984.775 * [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))))))) 1546679984.775 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546679984.775 * * [misc]simplify: iters left: 6 (18 enodes) 1546679984.778 * * [misc]simplify: iters left: 5 (28 enodes) 1546679984.782 * * [misc]simplify: iters left: 4 (33 enodes) 1546679984.787 * * [misc]simplify: iters left: 3 (39 enodes) 1546679984.793 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546679984.793 * [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)))))) 1546679984.793 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1546679984.793 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1546679984.793 * * [misc]simplify: iters left: 6 (15 enodes) 1546679984.799 * * [misc]simplify: iters left: 5 (23 enodes) 1546679984.806 * * [misc]simplify: iters left: 4 (30 enodes) 1546679984.815 * * [misc]simplify: iters left: 3 (43 enodes) 1546679984.827 * * [misc]simplify: iters left: 2 (45 enodes) 1546679984.837 * * [misc]simplify: iters left: 1 (50 enodes) 1546679984.849 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546679984.849 * [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))))))) 1546679984.849 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546679984.849 * * [misc]simplify: iters left: 6 (15 enodes) 1546679984.855 * * [misc]simplify: iters left: 5 (23 enodes) 1546679984.862 * * [misc]simplify: iters left: 4 (30 enodes) 1546679984.871 * * [misc]simplify: iters left: 3 (36 enodes) 1546679984.880 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546679984.880 * [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))))))) 1546679984.880 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1546679984.880 * [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))))))) 1546679984.881 * * [misc]simplify: iters left: 6 (18 enodes) 1546679984.888 * * [misc]simplify: iters left: 5 (29 enodes) 1546679984.896 * * [misc]simplify: iters left: 4 (38 enodes) 1546679984.909 * * [misc]simplify: iters left: 3 (55 enodes) 1546679984.925 * * [misc]simplify: iters left: 2 (64 enodes) 1546679984.940 * * [misc]simplify: iters left: 1 (74 enodes) 1546679984.962 * [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)))))) 1546679984.962 * [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)))))))) 1546679984.962 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679984.962 * * [misc]simplify: iters left: 6 (18 enodes) 1546679984.968 * * [misc]simplify: iters left: 5 (27 enodes) 1546679984.976 * * [misc]simplify: iters left: 4 (34 enodes) 1546679984.981 * * [misc]simplify: iters left: 3 (40 enodes) 1546679984.987 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546679984.987 * [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)))))))) 1546679984.987 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1546679984.987 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679984.987 * * [misc]simplify: iters left: 6 (17 enodes) 1546679984.991 * * [misc]simplify: iters left: 5 (26 enodes) 1546679984.995 * * [misc]simplify: iters left: 4 (33 enodes) 1546679985.000 * * [misc]simplify: iters left: 3 (46 enodes) 1546679985.007 * * [misc]simplify: iters left: 2 (48 enodes) 1546679985.015 * * [misc]simplify: iters left: 1 (53 enodes) 1546679985.024 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546679985.024 * [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)))))))) 1546679985.024 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679985.024 * * [misc]simplify: iters left: 6 (18 enodes) 1546679985.027 * * [misc]simplify: iters left: 5 (27 enodes) 1546679985.031 * * [misc]simplify: iters left: 4 (34 enodes) 1546679985.036 * * [misc]simplify: iters left: 3 (40 enodes) 1546679985.041 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546679985.041 * [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)))))))) 1546679985.041 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1546679985.042 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1546679985.042 * * [misc]simplify: iters left: 6 (13 enodes) 1546679985.044 * * [misc]simplify: iters left: 5 (18 enodes) 1546679985.047 * * [misc]simplify: iters left: 4 (26 enodes) 1546679985.050 * * [misc]simplify: iters left: 3 (30 enodes) 1546679985.057 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546679985.057 * [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))))))) 1546679985.057 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679985.057 * * [misc]simplify: iters left: 6 (17 enodes) 1546679985.063 * * [misc]simplify: iters left: 5 (26 enodes) 1546679985.070 * * [misc]simplify: iters left: 4 (33 enodes) 1546679985.080 * * [misc]simplify: iters left: 3 (39 enodes) 1546679985.089 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679985.089 * [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))))))) 1546679985.090 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1546679985.090 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1546679985.090 * * [misc]simplify: iters left: 6 (12 enodes) 1546679985.095 * * [misc]simplify: iters left: 5 (18 enodes) 1546679985.100 * * [misc]simplify: iters left: 4 (24 enodes) 1546679985.108 * * [misc]simplify: iters left: 3 (25 enodes) 1546679985.113 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546679985.113 * [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))))))) 1546679985.113 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679985.113 * * [misc]simplify: iters left: 6 (17 enodes) 1546679985.116 * * [misc]simplify: iters left: 5 (26 enodes) 1546679985.120 * * [misc]simplify: iters left: 4 (33 enodes) 1546679985.125 * * [misc]simplify: iters left: 3 (39 enodes) 1546679985.130 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679985.131 * [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))))))) 1546679985.131 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1546679985.131 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1546679985.131 * * [misc]simplify: iters left: 6 (13 enodes) 1546679985.133 * * [misc]simplify: iters left: 5 (19 enodes) 1546679985.136 * * [misc]simplify: iters left: 4 (23 enodes) 1546679985.140 * * [misc]simplify: iters left: 3 (27 enodes) 1546679985.146 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546679985.146 * [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))))))) 1546679985.147 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546679985.147 * * [misc]simplify: iters left: 6 (16 enodes) 1546679985.153 * * [misc]simplify: iters left: 5 (25 enodes) 1546679985.160 * * [misc]simplify: iters left: 4 (32 enodes) 1546679985.170 * * [misc]simplify: iters left: 3 (45 enodes) 1546679985.178 * * [misc]simplify: iters left: 2 (47 enodes) 1546679985.183 * * [misc]simplify: iters left: 1 (52 enodes) 1546679985.189 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546679985.189 * [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))))))) 1546679985.189 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1546679985.190 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1546679985.190 * * [misc]simplify: iters left: 6 (17 enodes) 1546679985.193 * * [misc]simplify: iters left: 5 (27 enodes) 1546679985.197 * * [misc]simplify: iters left: 4 (34 enodes) 1546679985.202 * * [misc]simplify: iters left: 3 (40 enodes) 1546679985.208 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1546679985.208 * [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))))) 1546679985.208 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1546679985.208 * * [misc]simplify: iters left: 6 (15 enodes) 1546679985.214 * * [misc]simplify: iters left: 5 (22 enodes) 1546679985.220 * * [misc]simplify: iters left: 4 (26 enodes) 1546679985.224 * * [misc]simplify: iters left: 3 (30 enodes) 1546679985.228 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1546679985.228 * [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))))) 1546679985.228 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1546679985.228 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546679985.228 * * [misc]simplify: iters left: 6 (14 enodes) 1546679985.231 * * [misc]simplify: iters left: 5 (21 enodes) 1546679985.233 * * [misc]simplify: iters left: 4 (24 enodes) 1546679985.237 * [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)))))) 1546679985.237 * [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)))))))) 1546679985.237 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679985.237 * * [misc]simplify: iters left: 6 (17 enodes) 1546679985.241 * * [misc]simplify: iters left: 5 (26 enodes) 1546679985.244 * * [misc]simplify: iters left: 4 (33 enodes) 1546679985.249 * * [misc]simplify: iters left: 3 (45 enodes) 1546679985.262 * * [misc]simplify: iters left: 2 (70 enodes) 1546679985.287 * * [misc]simplify: iters left: 1 (91 enodes) 1546679985.315 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679985.315 * [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)))))))) 1546679985.315 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1546679985.315 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679985.315 * * [misc]simplify: iters left: 6 (13 enodes) 1546679985.317 * * [misc]simplify: iters left: 5 (18 enodes) 1546679985.320 * * [misc]simplify: iters left: 4 (21 enodes) 1546679985.323 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679985.323 * [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)))))))) 1546679985.323 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679985.324 * * [misc]simplify: iters left: 6 (17 enodes) 1546679985.328 * * [misc]simplify: iters left: 5 (26 enodes) 1546679985.332 * * [misc]simplify: iters left: 4 (33 enodes) 1546679985.339 * * [misc]simplify: iters left: 3 (45 enodes) 1546679985.352 * * [misc]simplify: iters left: 2 (70 enodes) 1546679985.378 * * [misc]simplify: iters left: 1 (91 enodes) 1546679985.409 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679985.409 * [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)))))))) 1546679985.409 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1546679985.410 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546679985.410 * * [misc]simplify: iters left: 6 (12 enodes) 1546679985.412 * * [misc]simplify: iters left: 5 (20 enodes) 1546679985.415 * * [misc]simplify: iters left: 4 (27 enodes) 1546679985.419 * * [misc]simplify: iters left: 3 (37 enodes) 1546679985.426 * * [misc]simplify: iters left: 2 (64 enodes) 1546679985.439 * * [misc]simplify: iters left: 1 (93 enodes) 1546679985.471 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679985.472 * [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))))))) 1546679985.472 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679985.472 * * [misc]simplify: iters left: 6 (18 enodes) 1546679985.479 * * [misc]simplify: iters left: 5 (30 enodes) 1546679985.487 * * [misc]simplify: iters left: 4 (41 enodes) 1546679985.501 * * [misc]simplify: iters left: 3 (76 enodes) 1546679985.519 * * [misc]simplify: iters left: 2 (142 enodes) 1546679985.582 * * [misc]simplify: iters left: 1 (391 enodes) 1546679985.924 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679985.924 * [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))))))) 1546679985.924 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1546679985.924 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546679985.925 * * [misc]simplify: iters left: 6 (12 enodes) 1546679985.929 * * [misc]simplify: iters left: 5 (20 enodes) 1546679985.934 * * [misc]simplify: iters left: 4 (27 enodes) 1546679985.943 * * [misc]simplify: iters left: 3 (37 enodes) 1546679985.956 * * [misc]simplify: iters left: 2 (64 enodes) 1546679985.981 * * [misc]simplify: iters left: 1 (93 enodes) 1546679986.012 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679986.012 * [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))))))) 1546679986.012 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679986.012 * * [misc]simplify: iters left: 6 (18 enodes) 1546679986.019 * * [misc]simplify: iters left: 5 (30 enodes) 1546679986.027 * * [misc]simplify: iters left: 4 (41 enodes) 1546679986.041 * * [misc]simplify: iters left: 3 (76 enodes) 1546679986.069 * * [misc]simplify: iters left: 2 (142 enodes) 1546679986.130 * * [misc]simplify: iters left: 1 (391 enodes) 1546679986.489 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679986.489 * [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))))))) 1546679986.489 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1546679986.490 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546679986.490 * * [misc]simplify: iters left: 6 (13 enodes) 1546679986.493 * * [misc]simplify: iters left: 5 (21 enodes) 1546679986.496 * * [misc]simplify: iters left: 4 (31 enodes) 1546679986.502 * * [misc]simplify: iters left: 3 (51 enodes) 1546679986.513 * * [misc]simplify: iters left: 2 (90 enodes) 1546679986.533 * * [misc]simplify: iters left: 1 (181 enodes) 1546679986.599 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679986.599 * [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))))))) 1546679986.600 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679986.600 * * [misc]simplify: iters left: 6 (15 enodes) 1546679986.605 * * [misc]simplify: iters left: 5 (25 enodes) 1546679986.613 * * [misc]simplify: iters left: 4 (38 enodes) 1546679986.626 * * [misc]simplify: iters left: 3 (73 enodes) 1546679986.652 * * [misc]simplify: iters left: 2 (139 enodes) 1546679986.749 * * [misc]simplify: iters left: 1 (375 enodes) 1546679987.010 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546679987.010 * [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)))))) 1546679987.010 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1546679987.011 * [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))))))) 1546679987.011 * * [misc]simplify: iters left: 6 (16 enodes) 1546679987.016 * * [misc]simplify: iters left: 5 (29 enodes) 1546679987.026 * * [misc]simplify: iters left: 4 (50 enodes) 1546679987.041 * * [misc]simplify: iters left: 3 (70 enodes) 1546679987.067 * * [misc]simplify: iters left: 2 (169 enodes) 1546679987.164 * [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)))) 1546679987.164 * [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)))))))) 1546679987.164 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679987.164 * * [misc]simplify: iters left: 6 (18 enodes) 1546679987.168 * * [misc]simplify: iters left: 5 (29 enodes) 1546679987.172 * * [misc]simplify: iters left: 4 (42 enodes) 1546679987.179 * * [misc]simplify: iters left: 3 (77 enodes) 1546679987.196 * * [misc]simplify: iters left: 2 (143 enodes) 1546679987.253 * * [misc]simplify: iters left: 1 (394 enodes) 1546679987.452 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546679987.452 * [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)))))) 1546679987.452 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1546679987.452 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679987.453 * * [misc]simplify: iters left: 6 (15 enodes) 1546679987.458 * * [misc]simplify: iters left: 5 (24 enodes) 1546679987.465 * * [misc]simplify: iters left: 4 (34 enodes) 1546679987.475 * * [misc]simplify: iters left: 3 (54 enodes) 1546679987.494 * * [misc]simplify: iters left: 2 (93 enodes) 1546679987.522 * * [misc]simplify: iters left: 1 (182 enodes) 1546679987.614 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679987.614 * [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)))))))) 1546679987.614 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679987.614 * * [misc]simplify: iters left: 6 (18 enodes) 1546679987.621 * * [misc]simplify: iters left: 5 (29 enodes) 1546679987.630 * * [misc]simplify: iters left: 4 (42 enodes) 1546679987.644 * * [misc]simplify: iters left: 3 (77 enodes) 1546679987.672 * * [misc]simplify: iters left: 2 (143 enodes) 1546679987.773 * * [misc]simplify: iters left: 1 (394 enodes) 1546679988.056 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546679988.056 * [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)))))) 1546679988.056 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1546679988.056 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546679988.056 * * [misc]simplify: iters left: 6 (7 enodes) 1546679988.059 * * [misc]simplify: iters left: 5 (13 enodes) 1546679988.063 * * [misc]simplify: iters left: 4 (22 enodes) 1546679988.069 * * [misc]simplify: iters left: 3 (24 enodes) 1546679988.073 * * [misc]simplify: iters left: 2 (29 enodes) 1546679988.080 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546679988.080 * [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))))))) 1546679988.081 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679988.081 * * [misc]simplify: iters left: 6 (17 enodes) 1546679988.087 * * [misc]simplify: iters left: 5 (28 enodes) 1546679988.095 * * [misc]simplify: iters left: 4 (41 enodes) 1546679988.109 * * [misc]simplify: iters left: 3 (76 enodes) 1546679988.134 * * [misc]simplify: iters left: 2 (142 enodes) 1546679988.181 * * [misc]simplify: iters left: 1 (380 enodes) 1546679988.507 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679988.507 * [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))))))) 1546679988.507 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1546679988.508 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546679988.508 * * [misc]simplify: iters left: 6 (11 enodes) 1546679988.511 * * [misc]simplify: iters left: 5 (17 enodes) 1546679988.515 * * [misc]simplify: iters left: 4 (20 enodes) 1546679988.521 * * [misc]simplify: iters left: 3 (22 enodes) 1546679988.528 * * [misc]simplify: iters left: 2 (34 enodes) 1546679988.537 * * [misc]simplify: iters left: 1 (42 enodes) 1546679988.546 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546679988.546 * [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))))))) 1546679988.546 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679988.547 * * [misc]simplify: iters left: 6 (18 enodes) 1546679988.553 * * [misc]simplify: iters left: 5 (30 enodes) 1546679988.561 * * [misc]simplify: iters left: 4 (41 enodes) 1546679988.575 * * [misc]simplify: iters left: 3 (76 enodes) 1546679988.602 * * [misc]simplify: iters left: 2 (142 enodes) 1546679988.674 * * [misc]simplify: iters left: 1 (391 enodes) 1546679988.947 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679988.947 * [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))))))) 1546679988.948 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1546679988.948 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546679988.948 * * [misc]simplify: iters left: 6 (11 enodes) 1546679988.952 * * [misc]simplify: iters left: 5 (17 enodes) 1546679988.956 * * [misc]simplify: iters left: 4 (20 enodes) 1546679988.962 * * [misc]simplify: iters left: 3 (22 enodes) 1546679988.969 * * [misc]simplify: iters left: 2 (34 enodes) 1546679988.978 * * [misc]simplify: iters left: 1 (42 enodes) 1546679988.985 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546679988.985 * [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))))))) 1546679988.986 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679988.986 * * [misc]simplify: iters left: 6 (18 enodes) 1546679988.989 * * [misc]simplify: iters left: 5 (30 enodes) 1546679988.994 * * [misc]simplify: iters left: 4 (41 enodes) 1546679989.001 * * [misc]simplify: iters left: 3 (76 enodes) 1546679989.016 * * [misc]simplify: iters left: 2 (142 enodes) 1546679989.082 * * [misc]simplify: iters left: 1 (391 enodes) 1546679989.423 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679989.424 * [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))))))) 1546679989.424 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1546679989.424 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546679989.424 * * [misc]simplify: iters left: 6 (12 enodes) 1546679989.428 * * [misc]simplify: iters left: 5 (18 enodes) 1546679989.433 * * [misc]simplify: iters left: 4 (24 enodes) 1546679989.440 * * [misc]simplify: iters left: 3 (32 enodes) 1546679989.450 * * [misc]simplify: iters left: 2 (41 enodes) 1546679989.463 * * [misc]simplify: iters left: 1 (51 enodes) 1546679989.475 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546679989.475 * [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))))))) 1546679989.476 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679989.476 * * [misc]simplify: iters left: 6 (15 enodes) 1546679989.482 * * [misc]simplify: iters left: 5 (25 enodes) 1546679989.489 * * [misc]simplify: iters left: 4 (38 enodes) 1546679989.503 * * [misc]simplify: iters left: 3 (73 enodes) 1546679989.531 * * [misc]simplify: iters left: 2 (139 enodes) 1546679989.616 * * [misc]simplify: iters left: 1 (375 enodes) 1546679989.866 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546679989.866 * [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)))))) 1546679989.866 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1546679989.866 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546679989.866 * * [misc]simplify: iters left: 6 (15 enodes) 1546679989.869 * * [misc]simplify: iters left: 5 (24 enodes) 1546679989.872 * * [misc]simplify: iters left: 4 (32 enodes) 1546679989.877 * * [misc]simplify: iters left: 3 (43 enodes) 1546679989.884 * * [misc]simplify: iters left: 2 (69 enodes) 1546679989.898 * * [misc]simplify: iters left: 1 (119 enodes) 1546679989.953 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679989.953 * [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)))))))) 1546679989.953 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679989.954 * * [misc]simplify: iters left: 6 (18 enodes) 1546679989.962 * * [misc]simplify: iters left: 5 (29 enodes) 1546679989.971 * * [misc]simplify: iters left: 4 (42 enodes) 1546679989.985 * * [misc]simplify: iters left: 3 (77 enodes) 1546679990.013 * * [misc]simplify: iters left: 2 (143 enodes) 1546679990.109 * * [misc]simplify: iters left: 1 (394 enodes) 1546679990.357 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546679990.357 * [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)))))) 1546679990.357 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1546679990.358 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679990.358 * * [misc]simplify: iters left: 6 (14 enodes) 1546679990.360 * * [misc]simplify: iters left: 5 (21 enodes) 1546679990.363 * * [misc]simplify: iters left: 4 (27 enodes) 1546679990.367 * * [misc]simplify: iters left: 3 (35 enodes) 1546679990.372 * * [misc]simplify: iters left: 2 (43 enodes) 1546679990.377 * * [misc]simplify: iters left: 1 (56 enodes) 1546679990.386 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546679990.387 * [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)))))))) 1546679990.387 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679990.387 * * [misc]simplify: iters left: 6 (18 enodes) 1546679990.393 * * [misc]simplify: iters left: 5 (29 enodes) 1546679990.402 * * [misc]simplify: iters left: 4 (42 enodes) 1546679990.416 * * [misc]simplify: iters left: 3 (77 enodes) 1546679990.430 * * [misc]simplify: iters left: 2 (143 enodes) 1546679990.483 * * [misc]simplify: iters left: 1 (394 enodes) 1546679990.756 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546679990.756 * [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)))))) 1546679990.756 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1546679990.757 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1546679990.757 * * [misc]simplify: iters left: 6 (6 enodes) 1546679990.759 * * [misc]simplify: iters left: 5 (10 enodes) 1546679990.763 * * [misc]simplify: iters left: 4 (16 enodes) 1546679990.765 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546679990.765 * [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))))))) 1546679990.765 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679990.765 * * [misc]simplify: iters left: 6 (17 enodes) 1546679990.768 * * [misc]simplify: iters left: 5 (28 enodes) 1546679990.773 * * [misc]simplify: iters left: 4 (41 enodes) 1546679990.780 * * [misc]simplify: iters left: 3 (76 enodes) 1546679990.796 * * [misc]simplify: iters left: 2 (142 enodes) 1546679990.860 * * [misc]simplify: iters left: 1 (380 enodes) 1546679991.226 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679991.226 * [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))))))) 1546679991.226 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1546679991.226 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546679991.226 * * [misc]simplify: iters left: 6 (8 enodes) 1546679991.230 * * [misc]simplify: iters left: 5 (14 enodes) 1546679991.234 * * [misc]simplify: iters left: 4 (15 enodes) 1546679991.238 * * [misc]simplify: iters left: 3 (19 enodes) 1546679991.242 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546679991.242 * [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))))))) 1546679991.243 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546679991.243 * * [misc]simplify: iters left: 6 (17 enodes) 1546679991.249 * * [misc]simplify: iters left: 5 (29 enodes) 1546679991.258 * * [misc]simplify: iters left: 4 (40 enodes) 1546679991.270 * * [misc]simplify: iters left: 3 (75 enodes) 1546679991.285 * * [misc]simplify: iters left: 2 (141 enodes) 1546679991.351 * * [misc]simplify: iters left: 1 (379 enodes) 1546679991.593 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546679991.593 * [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)))) 1546679991.593 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1546679991.593 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546679991.593 * * [misc]simplify: iters left: 6 (8 enodes) 1546679991.597 * * [misc]simplify: iters left: 5 (14 enodes) 1546679991.601 * * [misc]simplify: iters left: 4 (15 enodes) 1546679991.605 * * [misc]simplify: iters left: 3 (19 enodes) 1546679991.610 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546679991.610 * [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))))))) 1546679991.610 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546679991.610 * * [misc]simplify: iters left: 6 (17 enodes) 1546679991.616 * * [misc]simplify: iters left: 5 (29 enodes) 1546679991.625 * * [misc]simplify: iters left: 4 (40 enodes) 1546679991.638 * * [misc]simplify: iters left: 3 (75 enodes) 1546679991.657 * * [misc]simplify: iters left: 2 (141 enodes) 1546679991.717 * * [misc]simplify: iters left: 1 (379 enodes) 1546679991.984 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546679991.984 * [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)))) 1546679991.984 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1546679991.985 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1546679991.985 * * [misc]simplify: iters left: 6 (10 enodes) 1546679991.989 * * [misc]simplify: iters left: 5 (16 enodes) 1546679991.994 * * [misc]simplify: iters left: 4 (20 enodes) 1546679992.000 * * [misc]simplify: iters left: 3 (24 enodes) 1546679992.005 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546679992.005 * [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))))))) 1546679992.006 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546679992.006 * * [misc]simplify: iters left: 6 (14 enodes) 1546679992.011 * * [misc]simplify: iters left: 5 (24 enodes) 1546679992.019 * * [misc]simplify: iters left: 4 (37 enodes) 1546679992.032 * * [misc]simplify: iters left: 3 (72 enodes) 1546679992.058 * * [misc]simplify: iters left: 2 (138 enodes) 1546679992.145 * * [misc]simplify: iters left: 1 (391 enodes) 1546679992.407 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1546679992.408 * [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)))) 1546679992.408 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1546679992.408 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546679992.408 * * [misc]simplify: iters left: 6 (13 enodes) 1546679992.413 * * [misc]simplify: iters left: 5 (22 enodes) 1546679992.420 * * [misc]simplify: iters left: 4 (26 enodes) 1546679992.427 * * [misc]simplify: iters left: 3 (32 enodes) 1546679992.435 * * [misc]simplify: iters left: 2 (34 enodes) 1546679992.444 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546679992.444 * [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)))))))) 1546679992.444 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679992.444 * * [misc]simplify: iters left: 6 (17 enodes) 1546679992.450 * * [misc]simplify: iters left: 5 (28 enodes) 1546679992.458 * * [misc]simplify: iters left: 4 (41 enodes) 1546679992.474 * * [misc]simplify: iters left: 3 (76 enodes) 1546679992.488 * * [misc]simplify: iters left: 2 (142 enodes) 1546679992.536 * * [misc]simplify: iters left: 1 (382 enodes) 1546679992.861 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546679992.861 * [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))))))) 1546679992.861 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1546679992.862 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679992.862 * * [misc]simplify: iters left: 6 (12 enodes) 1546679992.866 * * [misc]simplify: iters left: 5 (19 enodes) 1546679992.869 * * [misc]simplify: iters left: 4 (23 enodes) 1546679992.872 * * [misc]simplify: iters left: 3 (27 enodes) 1546679992.875 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1546679992.875 * [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)))))))) 1546679992.876 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679992.876 * * [misc]simplify: iters left: 6 (17 enodes) 1546679992.879 * * [misc]simplify: iters left: 5 (28 enodes) 1546679992.883 * * [misc]simplify: iters left: 4 (41 enodes) 1546679992.891 * * [misc]simplify: iters left: 3 (76 enodes) 1546679992.910 * * [misc]simplify: iters left: 2 (142 enodes) 1546679992.978 * * [misc]simplify: iters left: 1 (382 enodes) 1546679993.295 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546679993.295 * [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))))))) 1546679993.295 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1546679993.295 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1546679993.296 * * [misc]simplify: iters left: 4 (3 enodes) 1546679993.297 * * [misc]simplify: iters left: 3 (5 enodes) 1546679993.298 * [exit]simplify: Simplified to 1 1546679993.298 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546679993.298 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679993.298 * * [misc]simplify: iters left: 6 (16 enodes) 1546679993.304 * * [misc]simplify: iters left: 5 (27 enodes) 1546679993.312 * * [misc]simplify: iters left: 4 (40 enodes) 1546679993.319 * * [misc]simplify: iters left: 3 (75 enodes) 1546679993.334 * * [misc]simplify: iters left: 2 (141 enodes) 1546679993.393 * * [misc]simplify: iters left: 1 (376 enodes) 1546679993.716 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546679993.716 * [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)))))) 1546679993.716 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1546679993.717 * [enter]simplify: Simplifying (/ 1 1) 1546679993.717 * * [misc]simplify: iters left: 2 (2 enodes) 1546679993.717 * * [misc]simplify: iters left: 1 (4 enodes) 1546679993.717 * [exit]simplify: Simplified to 1 1546679993.717 * [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))))))) 1546679993.718 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679993.718 * * [misc]simplify: iters left: 6 (16 enodes) 1546679993.721 * * [misc]simplify: iters left: 5 (27 enodes) 1546679993.725 * * [misc]simplify: iters left: 4 (40 enodes) 1546679993.733 * * [misc]simplify: iters left: 3 (75 enodes) 1546679993.751 * * [misc]simplify: iters left: 2 (141 enodes) 1546679993.815 * * [misc]simplify: iters left: 1 (376 enodes) 1546679994.491 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546679994.491 * [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)))))) 1546679994.491 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1546679994.491 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1546679994.491 * * [misc]simplify: iters left: 3 (4 enodes) 1546679994.492 * * [misc]simplify: iters left: 2 (6 enodes) 1546679994.494 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546679994.494 * [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))))))) 1546679994.494 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546679994.494 * * [misc]simplify: iters left: 6 (15 enodes) 1546679994.500 * * [misc]simplify: iters left: 5 (26 enodes) 1546679994.508 * * [misc]simplify: iters left: 4 (35 enodes) 1546679994.520 * * [misc]simplify: iters left: 3 (61 enodes) 1546679994.543 * * [misc]simplify: iters left: 2 (82 enodes) 1546679994.567 * * [misc]simplify: iters left: 1 (85 enodes) 1546679994.586 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546679994.586 * [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)))))) 1546679994.586 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1546679994.586 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1546679994.587 * * [misc]simplify: iters left: 6 (10 enodes) 1546679994.590 * * [misc]simplify: iters left: 5 (16 enodes) 1546679994.594 * * [misc]simplify: iters left: 4 (19 enodes) 1546679994.599 * * [misc]simplify: iters left: 3 (21 enodes) 1546679994.606 * * [misc]simplify: iters left: 2 (33 enodes) 1546679994.614 * * [misc]simplify: iters left: 1 (41 enodes) 1546679994.623 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546679994.623 * [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))))) 1546679994.623 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1546679994.624 * * [misc]simplify: iters left: 6 (14 enodes) 1546679994.631 * * [misc]simplify: iters left: 5 (23 enodes) 1546679994.637 * * [misc]simplify: iters left: 4 (30 enodes) 1546679994.647 * * [misc]simplify: iters left: 3 (42 enodes) 1546679994.659 * * [misc]simplify: iters left: 2 (67 enodes) 1546679994.679 * * [misc]simplify: iters left: 1 (88 enodes) 1546679994.694 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546679994.694 * [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))))) 1546679994.694 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1546679994.694 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546679994.694 * * [misc]simplify: iters left: 6 (14 enodes) 1546679994.696 * * [misc]simplify: iters left: 5 (21 enodes) 1546679994.699 * * [misc]simplify: iters left: 4 (24 enodes) 1546679994.703 * [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)))))) 1546679994.703 * [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)))))))) 1546679994.703 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679994.703 * * [misc]simplify: iters left: 6 (17 enodes) 1546679994.706 * * [misc]simplify: iters left: 5 (26 enodes) 1546679994.713 * * [misc]simplify: iters left: 4 (33 enodes) 1546679994.723 * * [misc]simplify: iters left: 3 (45 enodes) 1546679994.736 * * [misc]simplify: iters left: 2 (70 enodes) 1546679994.763 * * [misc]simplify: iters left: 1 (91 enodes) 1546679994.793 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679994.794 * [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)))))))) 1546679994.794 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1546679994.794 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679994.794 * * [misc]simplify: iters left: 6 (13 enodes) 1546679994.798 * * [misc]simplify: iters left: 5 (18 enodes) 1546679994.804 * * [misc]simplify: iters left: 4 (21 enodes) 1546679994.810 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679994.810 * [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)))))))) 1546679994.811 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679994.811 * * [misc]simplify: iters left: 6 (17 enodes) 1546679994.818 * * [misc]simplify: iters left: 5 (26 enodes) 1546679994.825 * * [misc]simplify: iters left: 4 (33 enodes) 1546679994.830 * * [misc]simplify: iters left: 3 (45 enodes) 1546679994.837 * * [misc]simplify: iters left: 2 (70 enodes) 1546679994.855 * * [misc]simplify: iters left: 1 (91 enodes) 1546679994.887 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679994.887 * [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)))))))) 1546679994.887 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1546679994.888 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546679994.888 * * [misc]simplify: iters left: 6 (12 enodes) 1546679994.892 * * [misc]simplify: iters left: 5 (20 enodes) 1546679994.898 * * [misc]simplify: iters left: 4 (27 enodes) 1546679994.906 * * [misc]simplify: iters left: 3 (37 enodes) 1546679994.919 * * [misc]simplify: iters left: 2 (64 enodes) 1546679994.931 * * [misc]simplify: iters left: 1 (93 enodes) 1546679994.947 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679994.947 * [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))))))) 1546679994.948 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679994.948 * * [misc]simplify: iters left: 6 (18 enodes) 1546679994.951 * * [misc]simplify: iters left: 5 (30 enodes) 1546679994.957 * * [misc]simplify: iters left: 4 (41 enodes) 1546679994.971 * * [misc]simplify: iters left: 3 (76 enodes) 1546679995.002 * * [misc]simplify: iters left: 2 (142 enodes) 1546679995.075 * * [misc]simplify: iters left: 1 (391 enodes) 1546679995.354 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679995.354 * [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))))))) 1546679995.355 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1546679995.355 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546679995.355 * * [misc]simplify: iters left: 6 (12 enodes) 1546679995.357 * * [misc]simplify: iters left: 5 (20 enodes) 1546679995.360 * * [misc]simplify: iters left: 4 (27 enodes) 1546679995.364 * * [misc]simplify: iters left: 3 (37 enodes) 1546679995.371 * * [misc]simplify: iters left: 2 (64 enodes) 1546679995.383 * * [misc]simplify: iters left: 1 (93 enodes) 1546679995.399 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679995.400 * [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))))))) 1546679995.400 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679995.400 * * [misc]simplify: iters left: 6 (18 enodes) 1546679995.403 * * [misc]simplify: iters left: 5 (30 enodes) 1546679995.408 * * [misc]simplify: iters left: 4 (41 enodes) 1546679995.418 * * [misc]simplify: iters left: 3 (76 enodes) 1546679995.446 * * [misc]simplify: iters left: 2 (142 enodes) 1546679995.519 * * [misc]simplify: iters left: 1 (391 enodes) 1546679995.794 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679995.794 * [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))))))) 1546679995.794 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1546679995.794 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546679995.794 * * [misc]simplify: iters left: 6 (13 enodes) 1546679995.796 * * [misc]simplify: iters left: 5 (21 enodes) 1546679995.800 * * [misc]simplify: iters left: 4 (31 enodes) 1546679995.805 * * [misc]simplify: iters left: 3 (51 enodes) 1546679995.815 * * [misc]simplify: iters left: 2 (90 enodes) 1546679995.829 * * [misc]simplify: iters left: 1 (181 enodes) 1546679995.906 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679995.906 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546679995.907 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679995.907 * * [misc]simplify: iters left: 6 (15 enodes) 1546679995.912 * * [misc]simplify: iters left: 5 (25 enodes) 1546679995.919 * * [misc]simplify: iters left: 4 (38 enodes) 1546679995.932 * * [misc]simplify: iters left: 3 (73 enodes) 1546679995.945 * * [misc]simplify: iters left: 2 (139 enodes) 1546679996.026 * * [misc]simplify: iters left: 1 (375 enodes) 1546679996.357 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546679996.357 * [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)))))) 1546679996.357 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1546679996.357 * [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))))))) 1546679996.358 * * [misc]simplify: iters left: 6 (16 enodes) 1546679996.363 * * [misc]simplify: iters left: 5 (29 enodes) 1546679996.372 * * [misc]simplify: iters left: 4 (50 enodes) 1546679996.380 * * [misc]simplify: iters left: 3 (70 enodes) 1546679996.395 * * [misc]simplify: iters left: 2 (169 enodes) 1546679996.460 * [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)))) 1546679996.460 * [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)))))))) 1546679996.461 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679996.461 * * [misc]simplify: iters left: 6 (18 enodes) 1546679996.464 * * [misc]simplify: iters left: 5 (29 enodes) 1546679996.468 * * [misc]simplify: iters left: 4 (42 enodes) 1546679996.476 * * [misc]simplify: iters left: 3 (77 enodes) 1546679996.501 * * [misc]simplify: iters left: 2 (143 enodes) 1546679996.560 * * [misc]simplify: iters left: 1 (394 enodes) 1546679996.793 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546679996.793 * [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)))))) 1546679996.793 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1546679996.793 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679996.793 * * [misc]simplify: iters left: 6 (15 enodes) 1546679996.796 * * [misc]simplify: iters left: 5 (24 enodes) 1546679996.799 * * [misc]simplify: iters left: 4 (34 enodes) 1546679996.805 * * [misc]simplify: iters left: 3 (54 enodes) 1546679996.817 * * [misc]simplify: iters left: 2 (93 enodes) 1546679996.841 * * [misc]simplify: iters left: 1 (182 enodes) 1546679996.906 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546679996.906 * [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)))))))) 1546679996.907 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679996.907 * * [misc]simplify: iters left: 6 (18 enodes) 1546679996.911 * * [misc]simplify: iters left: 5 (29 enodes) 1546679996.916 * * [misc]simplify: iters left: 4 (42 enodes) 1546679996.924 * * [misc]simplify: iters left: 3 (77 enodes) 1546679996.939 * * [misc]simplify: iters left: 2 (143 enodes) 1546679997.008 * * [misc]simplify: iters left: 1 (394 enodes) 1546679997.308 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546679997.309 * [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)))))) 1546679997.309 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1546679997.309 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546679997.309 * * [misc]simplify: iters left: 6 (7 enodes) 1546679997.310 * * [misc]simplify: iters left: 5 (13 enodes) 1546679997.313 * * [misc]simplify: iters left: 4 (22 enodes) 1546679997.317 * * [misc]simplify: iters left: 3 (24 enodes) 1546679997.320 * * [misc]simplify: iters left: 2 (29 enodes) 1546679997.323 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546679997.323 * [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))))))) 1546679997.323 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679997.324 * * [misc]simplify: iters left: 6 (17 enodes) 1546679997.327 * * [misc]simplify: iters left: 5 (28 enodes) 1546679997.331 * * [misc]simplify: iters left: 4 (41 enodes) 1546679997.341 * * [misc]simplify: iters left: 3 (76 enodes) 1546679997.369 * * [misc]simplify: iters left: 2 (142 enodes) 1546679997.435 * * [misc]simplify: iters left: 1 (380 enodes) 1546679997.688 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679997.689 * [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))))))) 1546679997.689 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1546679997.689 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546679997.689 * * [misc]simplify: iters left: 6 (11 enodes) 1546679997.691 * * [misc]simplify: iters left: 5 (17 enodes) 1546679997.693 * * [misc]simplify: iters left: 4 (20 enodes) 1546679997.695 * * [misc]simplify: iters left: 3 (22 enodes) 1546679997.699 * * [misc]simplify: iters left: 2 (34 enodes) 1546679997.704 * * [misc]simplify: iters left: 1 (42 enodes) 1546679997.708 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546679997.708 * [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))))))) 1546679997.709 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679997.709 * * [misc]simplify: iters left: 6 (18 enodes) 1546679997.712 * * [misc]simplify: iters left: 5 (30 enodes) 1546679997.720 * * [misc]simplify: iters left: 4 (41 enodes) 1546679997.735 * * [misc]simplify: iters left: 3 (76 enodes) 1546679997.761 * * [misc]simplify: iters left: 2 (142 enodes) 1546679997.861 * * [misc]simplify: iters left: 1 (391 enodes) 1546679998.143 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679998.143 * [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))))))) 1546679998.143 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1546679998.143 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546679998.143 * * [misc]simplify: iters left: 6 (11 enodes) 1546679998.147 * * [misc]simplify: iters left: 5 (17 enodes) 1546679998.152 * * [misc]simplify: iters left: 4 (20 enodes) 1546679998.154 * * [misc]simplify: iters left: 3 (22 enodes) 1546679998.158 * * [misc]simplify: iters left: 2 (34 enodes) 1546679998.163 * * [misc]simplify: iters left: 1 (42 enodes) 1546679998.167 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546679998.167 * [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))))))) 1546679998.168 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546679998.168 * * [misc]simplify: iters left: 6 (18 enodes) 1546679998.171 * * [misc]simplify: iters left: 5 (30 enodes) 1546679998.175 * * [misc]simplify: iters left: 4 (41 enodes) 1546679998.182 * * [misc]simplify: iters left: 3 (76 enodes) 1546679998.201 * * [misc]simplify: iters left: 2 (142 enodes) 1546679998.300 * * [misc]simplify: iters left: 1 (391 enodes) 1546679998.654 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546679998.654 * [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))))))) 1546679998.654 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1546679998.654 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546679998.654 * * [misc]simplify: iters left: 6 (12 enodes) 1546679998.656 * * [misc]simplify: iters left: 5 (18 enodes) 1546679998.658 * * [misc]simplify: iters left: 4 (24 enodes) 1546679998.662 * * [misc]simplify: iters left: 3 (32 enodes) 1546679998.667 * * [misc]simplify: iters left: 2 (41 enodes) 1546679998.673 * * [misc]simplify: iters left: 1 (51 enodes) 1546679998.679 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546679998.679 * [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))))))) 1546679998.679 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546679998.679 * * [misc]simplify: iters left: 6 (15 enodes) 1546679998.683 * * [misc]simplify: iters left: 5 (25 enodes) 1546679998.686 * * [misc]simplify: iters left: 4 (38 enodes) 1546679998.694 * * [misc]simplify: iters left: 3 (73 enodes) 1546679998.712 * * [misc]simplify: iters left: 2 (139 enodes) 1546679998.760 * * [misc]simplify: iters left: 1 (375 enodes) 1546679999.010 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546679999.010 * [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)))))) 1546679999.010 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1546679999.010 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546679999.011 * * [misc]simplify: iters left: 6 (15 enodes) 1546679999.015 * * [misc]simplify: iters left: 5 (24 enodes) 1546679999.023 * * [misc]simplify: iters left: 4 (32 enodes) 1546679999.032 * * [misc]simplify: iters left: 3 (43 enodes) 1546679999.046 * * [misc]simplify: iters left: 2 (69 enodes) 1546679999.069 * * [misc]simplify: iters left: 1 (119 enodes) 1546679999.125 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679999.125 * [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)))))))) 1546679999.125 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679999.125 * * [misc]simplify: iters left: 6 (18 enodes) 1546679999.131 * * [misc]simplify: iters left: 5 (29 enodes) 1546679999.140 * * [misc]simplify: iters left: 4 (42 enodes) 1546679999.154 * * [misc]simplify: iters left: 3 (77 enodes) 1546679999.180 * * [misc]simplify: iters left: 2 (143 enodes) 1546679999.249 * * [misc]simplify: iters left: 1 (394 enodes) 1546679999.506 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546679999.506 * [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)))))) 1546679999.506 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1546679999.507 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679999.507 * * [misc]simplify: iters left: 6 (14 enodes) 1546679999.509 * * [misc]simplify: iters left: 5 (21 enodes) 1546679999.512 * * [misc]simplify: iters left: 4 (27 enodes) 1546679999.516 * * [misc]simplify: iters left: 3 (35 enodes) 1546679999.524 * * [misc]simplify: iters left: 2 (43 enodes) 1546679999.537 * * [misc]simplify: iters left: 1 (56 enodes) 1546679999.552 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546679999.552 * [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)))))))) 1546679999.552 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546679999.552 * * [misc]simplify: iters left: 6 (18 enodes) 1546679999.559 * * [misc]simplify: iters left: 5 (29 enodes) 1546679999.567 * * [misc]simplify: iters left: 4 (42 enodes) 1546679999.583 * * [misc]simplify: iters left: 3 (77 enodes) 1546679999.610 * * [misc]simplify: iters left: 2 (143 enodes) 1546679999.707 * * [misc]simplify: iters left: 1 (394 enodes) 1546679999.963 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546679999.963 * [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)))))) 1546679999.963 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1546679999.964 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1546679999.964 * * [misc]simplify: iters left: 6 (6 enodes) 1546679999.965 * * [misc]simplify: iters left: 5 (10 enodes) 1546679999.967 * * [misc]simplify: iters left: 4 (16 enodes) 1546679999.969 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546679999.969 * [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))))))) 1546679999.969 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546679999.969 * * [misc]simplify: iters left: 6 (17 enodes) 1546679999.972 * * [misc]simplify: iters left: 5 (28 enodes) 1546679999.978 * * [misc]simplify: iters left: 4 (41 enodes) 1546679999.987 * * [misc]simplify: iters left: 3 (76 enodes) 1546680000.013 * * [misc]simplify: iters left: 2 (142 enodes) 1546680000.083 * * [misc]simplify: iters left: 1 (380 enodes) 1546680000.406 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546680000.406 * [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))))))) 1546680000.406 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1546680000.406 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546680000.406 * * [misc]simplify: iters left: 6 (8 enodes) 1546680000.408 * * [misc]simplify: iters left: 5 (14 enodes) 1546680000.410 * * [misc]simplify: iters left: 4 (15 enodes) 1546680000.412 * * [misc]simplify: iters left: 3 (19 enodes) 1546680000.415 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546680000.415 * [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))))))) 1546680000.415 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546680000.415 * * [misc]simplify: iters left: 6 (17 enodes) 1546680000.418 * * [misc]simplify: iters left: 5 (29 enodes) 1546680000.422 * * [misc]simplify: iters left: 4 (40 enodes) 1546680000.429 * * [misc]simplify: iters left: 3 (75 enodes) 1546680000.445 * * [misc]simplify: iters left: 2 (141 enodes) 1546680000.495 * * [misc]simplify: iters left: 1 (379 enodes) 1546680000.768 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546680000.768 * [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)))) 1546680000.768 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1546680000.768 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546680000.768 * * [misc]simplify: iters left: 6 (8 enodes) 1546680000.770 * * [misc]simplify: iters left: 5 (14 enodes) 1546680000.772 * * [misc]simplify: iters left: 4 (15 enodes) 1546680000.775 * * [misc]simplify: iters left: 3 (19 enodes) 1546680000.777 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546680000.777 * [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))))))) 1546680000.777 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546680000.777 * * [misc]simplify: iters left: 6 (17 enodes) 1546680000.781 * * [misc]simplify: iters left: 5 (29 enodes) 1546680000.787 * * [misc]simplify: iters left: 4 (40 enodes) 1546680000.804 * * [misc]simplify: iters left: 3 (75 enodes) 1546680000.833 * * [misc]simplify: iters left: 2 (141 enodes) 1546680000.918 * * [misc]simplify: iters left: 1 (379 enodes) 1546680001.182 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546680001.182 * [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)))) 1546680001.182 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1546680001.183 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1546680001.183 * * [misc]simplify: iters left: 6 (10 enodes) 1546680001.187 * * [misc]simplify: iters left: 5 (16 enodes) 1546680001.191 * * [misc]simplify: iters left: 4 (20 enodes) 1546680001.201 * * [misc]simplify: iters left: 3 (24 enodes) 1546680001.207 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546680001.207 * [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))))))) 1546680001.207 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546680001.208 * * [misc]simplify: iters left: 6 (14 enodes) 1546680001.213 * * [misc]simplify: iters left: 5 (24 enodes) 1546680001.220 * * [misc]simplify: iters left: 4 (37 enodes) 1546680001.233 * * [misc]simplify: iters left: 3 (72 enodes) 1546680001.259 * * [misc]simplify: iters left: 2 (138 enodes) 1546680001.338 * * [misc]simplify: iters left: 1 (391 enodes) 1546680001.637 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1546680001.637 * [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)))) 1546680001.637 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1546680001.637 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546680001.638 * * [misc]simplify: iters left: 6 (13 enodes) 1546680001.644 * * [misc]simplify: iters left: 5 (22 enodes) 1546680001.649 * * [misc]simplify: iters left: 4 (26 enodes) 1546680001.653 * * [misc]simplify: iters left: 3 (32 enodes) 1546680001.658 * * [misc]simplify: iters left: 2 (34 enodes) 1546680001.664 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546680001.664 * [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)))))))) 1546680001.665 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680001.665 * * [misc]simplify: iters left: 6 (17 enodes) 1546680001.672 * * [misc]simplify: iters left: 5 (28 enodes) 1546680001.680 * * [misc]simplify: iters left: 4 (41 enodes) 1546680001.694 * * [misc]simplify: iters left: 3 (76 enodes) 1546680001.712 * * [misc]simplify: iters left: 2 (142 enodes) 1546680001.766 * * [misc]simplify: iters left: 1 (382 enodes) 1546680002.078 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546680002.078 * [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))))))) 1546680002.078 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1546680002.078 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680002.078 * * [misc]simplify: iters left: 6 (12 enodes) 1546680002.081 * * [misc]simplify: iters left: 5 (19 enodes) 1546680002.084 * * [misc]simplify: iters left: 4 (23 enodes) 1546680002.090 * * [misc]simplify: iters left: 3 (27 enodes) 1546680002.096 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1546680002.096 * [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)))))))) 1546680002.097 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680002.097 * * [misc]simplify: iters left: 6 (17 enodes) 1546680002.102 * * [misc]simplify: iters left: 5 (28 enodes) 1546680002.110 * * [misc]simplify: iters left: 4 (41 enodes) 1546680002.123 * * [misc]simplify: iters left: 3 (76 enodes) 1546680002.149 * * [misc]simplify: iters left: 2 (142 enodes) 1546680002.218 * * [misc]simplify: iters left: 1 (382 enodes) 1546680002.569 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546680002.569 * [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))))))) 1546680002.569 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1546680002.569 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1546680002.569 * * [misc]simplify: iters left: 4 (3 enodes) 1546680002.571 * * [misc]simplify: iters left: 3 (5 enodes) 1546680002.571 * [exit]simplify: Simplified to 1 1546680002.571 * [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))))))) 1546680002.572 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680002.572 * * [misc]simplify: iters left: 6 (16 enodes) 1546680002.578 * * [misc]simplify: iters left: 5 (27 enodes) 1546680002.586 * * [misc]simplify: iters left: 4 (40 enodes) 1546680002.601 * * [misc]simplify: iters left: 3 (75 enodes) 1546680002.630 * * [misc]simplify: iters left: 2 (141 enodes) 1546680002.680 * * [misc]simplify: iters left: 1 (376 enodes) 1546680002.944 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546680002.944 * [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)))))) 1546680002.944 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1546680002.945 * [enter]simplify: Simplifying (/ 1 1) 1546680002.945 * * [misc]simplify: iters left: 2 (2 enodes) 1546680002.945 * * [misc]simplify: iters left: 1 (4 enodes) 1546680002.945 * [exit]simplify: Simplified to 1 1546680002.945 * [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))))))) 1546680002.946 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680002.946 * * [misc]simplify: iters left: 6 (16 enodes) 1546680002.949 * * [misc]simplify: iters left: 5 (27 enodes) 1546680002.953 * * [misc]simplify: iters left: 4 (40 enodes) 1546680002.960 * * [misc]simplify: iters left: 3 (75 enodes) 1546680002.974 * * [misc]simplify: iters left: 2 (141 enodes) 1546680003.032 * * [misc]simplify: iters left: 1 (376 enodes) 1546680003.407 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546680003.407 * [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)))))) 1546680003.407 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1546680003.407 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1546680003.407 * * [misc]simplify: iters left: 3 (4 enodes) 1546680003.408 * * [misc]simplify: iters left: 2 (6 enodes) 1546680003.408 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546680003.408 * [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))))))) 1546680003.409 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546680003.409 * * [misc]simplify: iters left: 6 (15 enodes) 1546680003.412 * * [misc]simplify: iters left: 5 (26 enodes) 1546680003.416 * * [misc]simplify: iters left: 4 (35 enodes) 1546680003.422 * * [misc]simplify: iters left: 3 (61 enodes) 1546680003.435 * * [misc]simplify: iters left: 2 (82 enodes) 1546680003.457 * * [misc]simplify: iters left: 1 (85 enodes) 1546680003.475 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546680003.475 * [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)))))) 1546680003.476 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1546680003.476 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1546680003.476 * * [misc]simplify: iters left: 6 (10 enodes) 1546680003.479 * * [misc]simplify: iters left: 5 (16 enodes) 1546680003.484 * * [misc]simplify: iters left: 4 (19 enodes) 1546680003.489 * * [misc]simplify: iters left: 3 (21 enodes) 1546680003.496 * * [misc]simplify: iters left: 2 (33 enodes) 1546680003.505 * * [misc]simplify: iters left: 1 (41 enodes) 1546680003.513 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546680003.514 * [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))))) 1546680003.515 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1546680003.515 * * [misc]simplify: iters left: 6 (14 enodes) 1546680003.520 * * [misc]simplify: iters left: 5 (23 enodes) 1546680003.527 * * [misc]simplify: iters left: 4 (30 enodes) 1546680003.537 * * [misc]simplify: iters left: 3 (42 enodes) 1546680003.550 * * [misc]simplify: iters left: 2 (67 enodes) 1546680003.574 * * [misc]simplify: iters left: 1 (88 enodes) 1546680003.605 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546680003.605 * [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))))) 1546680003.605 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1546680003.605 * [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))))))) 1546680003.606 * * [misc]simplify: iters left: 6 (15 enodes) 1546680003.611 * * [misc]simplify: iters left: 5 (22 enodes) 1546680003.617 * * [misc]simplify: iters left: 4 (25 enodes) 1546680003.622 * [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))))))) 1546680003.622 * [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)))))))) 1546680003.622 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680003.622 * * [misc]simplify: iters left: 6 (14 enodes) 1546680003.624 * * [misc]simplify: iters left: 5 (17 enodes) 1546680003.627 * * [misc]simplify: iters left: 4 (20 enodes) 1546680003.630 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680003.630 * [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)))))))) 1546680003.630 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1546680003.630 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680003.630 * * [misc]simplify: iters left: 6 (14 enodes) 1546680003.632 * * [misc]simplify: iters left: 5 (19 enodes) 1546680003.635 * * [misc]simplify: iters left: 4 (22 enodes) 1546680003.638 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680003.638 * [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)))))))) 1546680003.638 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680003.638 * * [misc]simplify: iters left: 6 (14 enodes) 1546680003.641 * * [misc]simplify: iters left: 5 (17 enodes) 1546680003.644 * * [misc]simplify: iters left: 4 (20 enodes) 1546680003.647 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680003.647 * [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)))))))) 1546680003.647 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1546680003.647 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546680003.647 * * [misc]simplify: iters left: 6 (13 enodes) 1546680003.651 * * [misc]simplify: iters left: 5 (21 enodes) 1546680003.657 * * [misc]simplify: iters left: 4 (28 enodes) 1546680003.665 * * [misc]simplify: iters left: 3 (36 enodes) 1546680003.678 * * [misc]simplify: iters left: 2 (62 enodes) 1546680003.697 * * [misc]simplify: iters left: 1 (94 enodes) 1546680003.718 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1546680003.718 * [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))))))) 1546680003.718 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546680003.718 * * [misc]simplify: iters left: 6 (15 enodes) 1546680003.721 * * [misc]simplify: iters left: 5 (21 enodes) 1546680003.724 * * [misc]simplify: iters left: 4 (25 enodes) 1546680003.728 * * [misc]simplify: iters left: 3 (27 enodes) 1546680003.734 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546680003.734 * [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)))))) 1546680003.734 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1546680003.734 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546680003.734 * * [misc]simplify: iters left: 6 (13 enodes) 1546680003.737 * * [misc]simplify: iters left: 5 (21 enodes) 1546680003.740 * * [misc]simplify: iters left: 4 (28 enodes) 1546680003.744 * * [misc]simplify: iters left: 3 (36 enodes) 1546680003.750 * * [misc]simplify: iters left: 2 (62 enodes) 1546680003.761 * * [misc]simplify: iters left: 1 (94 enodes) 1546680003.781 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1546680003.781 * [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))))))) 1546680003.781 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546680003.782 * * [misc]simplify: iters left: 6 (15 enodes) 1546680003.784 * * [misc]simplify: iters left: 5 (21 enodes) 1546680003.787 * * [misc]simplify: iters left: 4 (25 enodes) 1546680003.790 * * [misc]simplify: iters left: 3 (27 enodes) 1546680003.794 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546680003.794 * [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)))))) 1546680003.794 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1546680003.794 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546680003.795 * * [misc]simplify: iters left: 6 (14 enodes) 1546680003.798 * * [misc]simplify: iters left: 5 (22 enodes) 1546680003.806 * * [misc]simplify: iters left: 4 (32 enodes) 1546680003.816 * * [misc]simplify: iters left: 3 (55 enodes) 1546680003.835 * * [misc]simplify: iters left: 2 (97 enodes) 1546680003.868 * * [misc]simplify: iters left: 1 (209 enodes) 1546680003.934 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546680003.935 * [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))))))) 1546680003.935 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546680003.935 * * [misc]simplify: iters left: 6 (12 enodes) 1546680003.939 * * [misc]simplify: iters left: 5 (16 enodes) 1546680003.944 * * [misc]simplify: iters left: 4 (22 enodes) 1546680003.950 * * [misc]simplify: iters left: 3 (24 enodes) 1546680003.954 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546680003.954 * [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)))))) 1546680003.954 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1546680003.954 * [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))))))) 1546680003.954 * * [misc]simplify: iters left: 6 (17 enodes) 1546680003.957 * * [misc]simplify: iters left: 5 (30 enodes) 1546680003.962 * * [misc]simplify: iters left: 4 (51 enodes) 1546680003.969 * * [misc]simplify: iters left: 3 (67 enodes) 1546680003.982 * * [misc]simplify: iters left: 2 (156 enodes) 1546680004.046 * * [misc]simplify: iters left: 1 (456 enodes) 1546680004.399 * [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)))) 1546680004.399 * [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)))))))) 1546680004.400 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680004.400 * * [misc]simplify: iters left: 6 (15 enodes) 1546680004.403 * * [misc]simplify: iters left: 5 (20 enodes) 1546680004.408 * * [misc]simplify: iters left: 4 (26 enodes) 1546680004.415 * * [misc]simplify: iters left: 3 (28 enodes) 1546680004.421 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546680004.422 * [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))))))) 1546680004.422 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1546680004.422 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680004.422 * * [misc]simplify: iters left: 6 (16 enodes) 1546680004.429 * * [misc]simplify: iters left: 5 (25 enodes) 1546680004.436 * * [misc]simplify: iters left: 4 (35 enodes) 1546680004.445 * * [misc]simplify: iters left: 3 (58 enodes) 1546680004.462 * * [misc]simplify: iters left: 2 (99 enodes) 1546680004.490 * * [misc]simplify: iters left: 1 (192 enodes) 1546680004.547 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546680004.548 * [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)))))))) 1546680004.548 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680004.548 * * [misc]simplify: iters left: 6 (15 enodes) 1546680004.550 * * [misc]simplify: iters left: 5 (20 enodes) 1546680004.555 * * [misc]simplify: iters left: 4 (26 enodes) 1546680004.561 * * [misc]simplify: iters left: 3 (28 enodes) 1546680004.567 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546680004.567 * [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))))))) 1546680004.568 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1546680004.568 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546680004.568 * * [misc]simplify: iters left: 6 (8 enodes) 1546680004.570 * * [misc]simplify: iters left: 5 (14 enodes) 1546680004.575 * * [misc]simplify: iters left: 4 (25 enodes) 1546680004.580 * * [misc]simplify: iters left: 3 (29 enodes) 1546680004.585 * * [misc]simplify: iters left: 2 (45 enodes) 1546680004.600 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546680004.600 * [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))))))) 1546680004.600 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680004.600 * * [misc]simplify: iters left: 6 (14 enodes) 1546680004.605 * * [misc]simplify: iters left: 5 (19 enodes) 1546680004.611 * * [misc]simplify: iters left: 4 (25 enodes) 1546680004.618 * * [misc]simplify: iters left: 3 (27 enodes) 1546680004.626 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1546680004.626 * [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)))))) 1546680004.626 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1546680004.627 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546680004.627 * * [misc]simplify: iters left: 6 (12 enodes) 1546680004.631 * * [misc]simplify: iters left: 5 (18 enodes) 1546680004.635 * * [misc]simplify: iters left: 4 (21 enodes) 1546680004.641 * * [misc]simplify: iters left: 3 (23 enodes) 1546680004.648 * * [misc]simplify: iters left: 2 (35 enodes) 1546680004.658 * * [misc]simplify: iters left: 1 (43 enodes) 1546680004.669 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546680004.669 * [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))))))) 1546680004.669 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546680004.669 * * [misc]simplify: iters left: 6 (15 enodes) 1546680004.674 * * [misc]simplify: iters left: 5 (21 enodes) 1546680004.680 * * [misc]simplify: iters left: 4 (25 enodes) 1546680004.687 * * [misc]simplify: iters left: 3 (27 enodes) 1546680004.695 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546680004.695 * [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)))))) 1546680004.695 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1546680004.695 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546680004.695 * * [misc]simplify: iters left: 6 (12 enodes) 1546680004.699 * * [misc]simplify: iters left: 5 (18 enodes) 1546680004.704 * * [misc]simplify: iters left: 4 (21 enodes) 1546680004.710 * * [misc]simplify: iters left: 3 (23 enodes) 1546680004.717 * * [misc]simplify: iters left: 2 (35 enodes) 1546680004.726 * * [misc]simplify: iters left: 1 (43 enodes) 1546680004.735 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546680004.736 * [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))))))) 1546680004.736 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546680004.736 * * [misc]simplify: iters left: 6 (15 enodes) 1546680004.740 * * [misc]simplify: iters left: 5 (21 enodes) 1546680004.746 * * [misc]simplify: iters left: 4 (25 enodes) 1546680004.752 * * [misc]simplify: iters left: 3 (27 enodes) 1546680004.758 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546680004.758 * [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)))))) 1546680004.758 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1546680004.759 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546680004.759 * * [misc]simplify: iters left: 6 (13 enodes) 1546680004.762 * * [misc]simplify: iters left: 5 (19 enodes) 1546680004.767 * * [misc]simplify: iters left: 4 (25 enodes) 1546680004.774 * * [misc]simplify: iters left: 3 (34 enodes) 1546680004.784 * * [misc]simplify: iters left: 2 (44 enodes) 1546680004.795 * * [misc]simplify: iters left: 1 (59 enodes) 1546680004.812 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546680004.812 * [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))))))) 1546680004.812 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546680004.813 * * [misc]simplify: iters left: 6 (12 enodes) 1546680004.816 * * [misc]simplify: iters left: 5 (16 enodes) 1546680004.823 * * [misc]simplify: iters left: 4 (22 enodes) 1546680004.829 * * [misc]simplify: iters left: 3 (24 enodes) 1546680004.834 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546680004.834 * [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)))))) 1546680004.834 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1546680004.834 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546680004.834 * * [misc]simplify: iters left: 6 (16 enodes) 1546680004.837 * * [misc]simplify: iters left: 5 (25 enodes) 1546680004.840 * * [misc]simplify: iters left: 4 (33 enodes) 1546680004.845 * * [misc]simplify: iters left: 3 (41 enodes) 1546680004.852 * * [misc]simplify: iters left: 2 (64 enodes) 1546680004.862 * * [misc]simplify: iters left: 1 (95 enodes) 1546680004.877 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546680004.877 * [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)))))))) 1546680004.877 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680004.877 * * [misc]simplify: iters left: 6 (15 enodes) 1546680004.880 * * [misc]simplify: iters left: 5 (20 enodes) 1546680004.883 * * [misc]simplify: iters left: 4 (26 enodes) 1546680004.886 * * [misc]simplify: iters left: 3 (28 enodes) 1546680004.890 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546680004.890 * [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))))))) 1546680004.890 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1546680004.891 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680004.891 * * [misc]simplify: iters left: 6 (15 enodes) 1546680004.893 * * [misc]simplify: iters left: 5 (22 enodes) 1546680004.896 * * [misc]simplify: iters left: 4 (28 enodes) 1546680004.900 * * [misc]simplify: iters left: 3 (37 enodes) 1546680004.907 * * [misc]simplify: iters left: 2 (47 enodes) 1546680004.913 * * [misc]simplify: iters left: 1 (62 enodes) 1546680004.922 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546680004.922 * [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)))))))) 1546680004.922 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680004.923 * * [misc]simplify: iters left: 6 (15 enodes) 1546680004.925 * * [misc]simplify: iters left: 5 (20 enodes) 1546680004.928 * * [misc]simplify: iters left: 4 (26 enodes) 1546680004.932 * * [misc]simplify: iters left: 3 (28 enodes) 1546680004.936 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546680004.936 * [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))))))) 1546680004.936 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1546680004.936 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1546680004.936 * * [misc]simplify: iters left: 6 (7 enodes) 1546680004.937 * * [misc]simplify: iters left: 5 (11 enodes) 1546680004.939 * * [misc]simplify: iters left: 4 (17 enodes) 1546680004.941 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546680004.941 * [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))))))) 1546680004.942 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680004.942 * * [misc]simplify: iters left: 6 (14 enodes) 1546680004.944 * * [misc]simplify: iters left: 5 (19 enodes) 1546680004.947 * * [misc]simplify: iters left: 4 (25 enodes) 1546680004.951 * * [misc]simplify: iters left: 3 (27 enodes) 1546680004.955 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1546680004.955 * [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)))))) 1546680004.955 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1546680004.955 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1546680004.955 * * [misc]simplify: iters left: 6 (9 enodes) 1546680004.957 * * [misc]simplify: iters left: 5 (15 enodes) 1546680004.959 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546680004.959 * [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))))))) 1546680004.959 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546680004.959 * * [misc]simplify: iters left: 6 (14 enodes) 1546680004.961 * * [misc]simplify: iters left: 5 (20 enodes) 1546680004.965 * * [misc]simplify: iters left: 4 (24 enodes) 1546680004.971 * * [misc]simplify: iters left: 3 (26 enodes) 1546680004.977 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546680004.977 * [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)))) 1546680004.977 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1546680004.978 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1546680004.978 * * [misc]simplify: iters left: 6 (9 enodes) 1546680004.981 * * [misc]simplify: iters left: 5 (15 enodes) 1546680004.984 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546680004.984 * [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))))))) 1546680004.985 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546680004.985 * * [misc]simplify: iters left: 6 (14 enodes) 1546680004.988 * * [misc]simplify: iters left: 5 (20 enodes) 1546680004.993 * * [misc]simplify: iters left: 4 (24 enodes) 1546680005.000 * * [misc]simplify: iters left: 3 (26 enodes) 1546680005.006 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546680005.006 * [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)))) 1546680005.006 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1546680005.006 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1546680005.006 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.009 * * [misc]simplify: iters left: 5 (17 enodes) 1546680005.012 * * [misc]simplify: iters left: 4 (20 enodes) 1546680005.015 * * [misc]simplify: iters left: 3 (24 enodes) 1546680005.017 * * [misc]simplify: iters left: 2 (26 enodes) 1546680005.021 * * [misc]simplify: iters left: 1 (28 enodes) 1546680005.024 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546680005.024 * [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))))))) 1546680005.024 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546680005.025 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.026 * * [misc]simplify: iters left: 5 (15 enodes) 1546680005.029 * * [misc]simplify: iters left: 4 (21 enodes) 1546680005.032 * * [misc]simplify: iters left: 3 (23 enodes) 1546680005.035 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546680005.035 * [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))))))) 1546680005.035 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1546680005.036 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546680005.036 * * [misc]simplify: iters left: 6 (14 enodes) 1546680005.041 * * [misc]simplify: iters left: 5 (23 enodes) 1546680005.047 * * [misc]simplify: iters left: 4 (26 enodes) 1546680005.055 * * [misc]simplify: iters left: 3 (31 enodes) 1546680005.062 * * [misc]simplify: iters left: 2 (34 enodes) 1546680005.073 * * [misc]simplify: iters left: 1 (48 enodes) 1546680005.088 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.088 * [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)))))))) 1546680005.089 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680005.089 * * [misc]simplify: iters left: 6 (14 enodes) 1546680005.093 * * [misc]simplify: iters left: 5 (19 enodes) 1546680005.099 * * [misc]simplify: iters left: 4 (25 enodes) 1546680005.107 * * [misc]simplify: iters left: 3 (27 enodes) 1546680005.114 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.114 * [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))))))) 1546680005.114 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1546680005.115 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680005.115 * * [misc]simplify: iters left: 6 (13 enodes) 1546680005.120 * * [misc]simplify: iters left: 5 (20 enodes) 1546680005.125 * * [misc]simplify: iters left: 4 (23 enodes) 1546680005.132 * * [misc]simplify: iters left: 3 (27 enodes) 1546680005.138 * * [misc]simplify: iters left: 2 (29 enodes) 1546680005.146 * * [misc]simplify: iters left: 1 (31 enodes) 1546680005.155 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.155 * [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)))))))) 1546680005.155 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546680005.155 * * [misc]simplify: iters left: 6 (14 enodes) 1546680005.161 * * [misc]simplify: iters left: 5 (19 enodes) 1546680005.168 * * [misc]simplify: iters left: 4 (25 enodes) 1546680005.175 * * [misc]simplify: iters left: 3 (27 enodes) 1546680005.183 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.183 * [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))))))) 1546680005.183 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1546680005.183 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1546680005.183 * * [misc]simplify: iters left: 4 (3 enodes) 1546680005.184 * * [misc]simplify: iters left: 3 (5 enodes) 1546680005.184 * [exit]simplify: Simplified to 1 1546680005.185 * [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))))))) 1546680005.185 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.185 * * [misc]simplify: iters left: 6 (13 enodes) 1546680005.187 * * [misc]simplify: iters left: 5 (18 enodes) 1546680005.190 * * [misc]simplify: iters left: 4 (24 enodes) 1546680005.194 * * [misc]simplify: iters left: 3 (26 enodes) 1546680005.198 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546680005.198 * [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)))) 1546680005.198 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1546680005.198 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1546680005.198 * * [misc]simplify: iters left: 4 (3 enodes) 1546680005.198 * * [misc]simplify: iters left: 3 (5 enodes) 1546680005.199 * [exit]simplify: Simplified to 1 1546680005.199 * [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))))))) 1546680005.199 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.199 * * [misc]simplify: iters left: 6 (13 enodes) 1546680005.201 * * [misc]simplify: iters left: 5 (18 enodes) 1546680005.204 * * [misc]simplify: iters left: 4 (24 enodes) 1546680005.208 * * [misc]simplify: iters left: 3 (26 enodes) 1546680005.211 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546680005.211 * [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)))) 1546680005.211 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1546680005.211 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1546680005.212 * * [misc]simplify: iters left: 4 (5 enodes) 1546680005.212 * * [misc]simplify: iters left: 3 (7 enodes) 1546680005.213 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546680005.213 * [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))))))) 1546680005.213 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.213 * * [misc]simplify: iters left: 6 (13 enodes) 1546680005.216 * * [misc]simplify: iters left: 5 (20 enodes) 1546680005.218 * * [misc]simplify: iters left: 4 (26 enodes) 1546680005.226 * * [misc]simplify: iters left: 3 (36 enodes) 1546680005.235 * * [misc]simplify: iters left: 2 (38 enodes) 1546680005.243 * * [misc]simplify: iters left: 1 (43 enodes) 1546680005.253 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546680005.253 * [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)))))) 1546680005.253 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1546680005.253 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1546680005.253 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.256 * * [misc]simplify: iters left: 5 (17 enodes) 1546680005.258 * * [misc]simplify: iters left: 4 (20 enodes) 1546680005.261 * * [misc]simplify: iters left: 3 (22 enodes) 1546680005.265 * * [misc]simplify: iters left: 2 (34 enodes) 1546680005.270 * * [misc]simplify: iters left: 1 (42 enodes) 1546680005.275 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546680005.275 * [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))))) 1546680005.275 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1546680005.275 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.277 * * [misc]simplify: iters left: 5 (14 enodes) 1546680005.279 * * [misc]simplify: iters left: 4 (17 enodes) 1546680005.281 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546680005.281 * [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))))) 1546680005.281 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1546680005.281 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1546680005.282 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1546680005.282 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1546680005.282 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.282 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.284 * * [misc]simplify: iters left: 5 (14 enodes) 1546680005.288 * * [misc]simplify: iters left: 4 (17 enodes) 1546680005.293 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.293 * [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))))))) 1546680005.293 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1546680005.293 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.294 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.297 * * [misc]simplify: iters left: 5 (14 enodes) 1546680005.301 * * [misc]simplify: iters left: 4 (17 enodes) 1546680005.306 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.307 * [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))))))) 1546680005.307 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1546680005.307 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546680005.307 * * [misc]simplify: iters left: 6 (10 enodes) 1546680005.310 * * [misc]simplify: iters left: 5 (13 enodes) 1546680005.314 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546680005.314 * [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))))) 1546680005.314 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1546680005.315 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546680005.315 * * [misc]simplify: iters left: 6 (10 enodes) 1546680005.318 * * [misc]simplify: iters left: 5 (13 enodes) 1546680005.322 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546680005.323 * [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))))) 1546680005.323 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1546680005.323 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546680005.323 * * [misc]simplify: iters left: 6 (9 enodes) 1546680005.326 * * [misc]simplify: iters left: 5 (11 enodes) 1546680005.329 * * [misc]simplify: iters left: 4 (14 enodes) 1546680005.334 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546680005.334 * [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)))))) 1546680005.334 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1546680005.334 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.334 * * [misc]simplify: iters left: 6 (12 enodes) 1546680005.338 * * [misc]simplify: iters left: 5 (15 enodes) 1546680005.341 * * [misc]simplify: iters left: 4 (18 enodes) 1546680005.343 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.344 * [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))))))) 1546680005.344 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1546680005.344 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.344 * * [misc]simplify: iters left: 6 (12 enodes) 1546680005.346 * * [misc]simplify: iters left: 5 (15 enodes) 1546680005.348 * * [misc]simplify: iters left: 4 (18 enodes) 1546680005.350 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.350 * [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))))))) 1546680005.350 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1546680005.351 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.351 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.352 * * [misc]simplify: iters left: 5 (14 enodes) 1546680005.354 * * [misc]simplify: iters left: 4 (17 enodes) 1546680005.357 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.357 * [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)))))) 1546680005.357 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1546680005.357 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546680005.357 * * [misc]simplify: iters left: 6 (10 enodes) 1546680005.359 * * [misc]simplify: iters left: 5 (13 enodes) 1546680005.361 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546680005.361 * [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))))) 1546680005.361 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1546680005.361 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546680005.361 * * [misc]simplify: iters left: 6 (10 enodes) 1546680005.362 * * [misc]simplify: iters left: 5 (13 enodes) 1546680005.364 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546680005.364 * [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))))) 1546680005.364 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1546680005.365 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546680005.365 * * [misc]simplify: iters left: 6 (9 enodes) 1546680005.366 * * [misc]simplify: iters left: 5 (11 enodes) 1546680005.368 * * [misc]simplify: iters left: 4 (14 enodes) 1546680005.370 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546680005.370 * [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)))))) 1546680005.370 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1546680005.370 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.370 * * [misc]simplify: iters left: 6 (12 enodes) 1546680005.372 * * [misc]simplify: iters left: 5 (15 enodes) 1546680005.375 * * [misc]simplify: iters left: 4 (18 enodes) 1546680005.378 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.378 * [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))))))) 1546680005.378 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1546680005.378 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.378 * * [misc]simplify: iters left: 6 (12 enodes) 1546680005.381 * * [misc]simplify: iters left: 5 (15 enodes) 1546680005.384 * * [misc]simplify: iters left: 4 (18 enodes) 1546680005.386 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.387 * [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))))))) 1546680005.387 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1546680005.387 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.387 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.389 * * [misc]simplify: iters left: 5 (14 enodes) 1546680005.391 * * [misc]simplify: iters left: 4 (17 enodes) 1546680005.394 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.394 * [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)))))) 1546680005.394 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1546680005.394 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546680005.394 * * [misc]simplify: iters left: 6 (9 enodes) 1546680005.396 * * [misc]simplify: iters left: 5 (12 enodes) 1546680005.398 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546680005.398 * [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))))) 1546680005.398 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1546680005.398 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546680005.398 * * [misc]simplify: iters left: 6 (9 enodes) 1546680005.400 * * [misc]simplify: iters left: 5 (12 enodes) 1546680005.402 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546680005.402 * [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))))) 1546680005.402 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1546680005.402 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546680005.402 * * [misc]simplify: iters left: 6 (8 enodes) 1546680005.403 * * [misc]simplify: iters left: 5 (10 enodes) 1546680005.405 * * [misc]simplify: iters left: 4 (13 enodes) 1546680005.407 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546680005.407 * [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)))))) 1546680005.407 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1546680005.407 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.407 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.409 * * [misc]simplify: iters left: 5 (14 enodes) 1546680005.411 * * [misc]simplify: iters left: 4 (17 enodes) 1546680005.413 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.413 * [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))))))) 1546680005.414 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1546680005.414 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.414 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.416 * * [misc]simplify: iters left: 5 (14 enodes) 1546680005.418 * * [misc]simplify: iters left: 4 (17 enodes) 1546680005.420 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546680005.420 * [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))))))) 1546680005.420 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1546680005.420 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.421 * * [misc]simplify: iters left: 6 (10 enodes) 1546680005.422 * * [misc]simplify: iters left: 5 (13 enodes) 1546680005.424 * * [misc]simplify: iters left: 4 (16 enodes) 1546680005.427 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.427 * [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)))))) 1546680005.427 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1546680005.427 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.427 * * [misc]simplify: iters left: 6 (10 enodes) 1546680005.429 * * [misc]simplify: iters left: 5 (13 enodes) 1546680005.431 * * [misc]simplify: iters left: 4 (16 enodes) 1546680005.433 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.433 * [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)))))) 1546680005.433 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1546680005.433 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1546680005.434 * * [misc]simplify: iters left: 6 (10 enodes) 1546680005.435 * * [misc]simplify: iters left: 5 (15 enodes) 1546680005.437 * * [misc]simplify: iters left: 4 (18 enodes) 1546680005.440 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1546680005.440 * [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)))))) 1546680005.440 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1546680005.440 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546680005.440 * * [misc]simplify: iters left: 3 (6 enodes) 1546680005.441 * * [misc]simplify: iters left: 2 (7 enodes) 1546680005.443 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546680005.443 * [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)))) 1546680005.443 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1546680005.443 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1546680005.443 * * [misc]simplify: iters left: 6 (12 enodes) 1546680005.445 * * [misc]simplify: iters left: 5 (18 enodes) 1546680005.449 * * [misc]simplify: iters left: 4 (22 enodes) 1546680005.455 * * [misc]simplify: iters left: 3 (26 enodes) 1546680005.462 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546680005.462 * [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))))))))) 1546680005.462 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1546680005.462 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1546680005.462 * * [misc]simplify: iters left: 6 (11 enodes) 1546680005.466 * * [misc]simplify: iters left: 5 (17 enodes) 1546680005.471 * * [misc]simplify: iters left: 4 (21 enodes) 1546680005.479 * * [misc]simplify: iters left: 3 (25 enodes) 1546680005.485 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546680005.485 * [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))))))))) 1546680005.485 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1546680005.485 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1546680005.485 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1546680005.485 * [enter]simplify: Simplifying (/ 1 1) 1546680005.485 * * [misc]simplify: iters left: 2 (2 enodes) 1546680005.486 * * [misc]simplify: iters left: 1 (4 enodes) 1546680005.487 * [exit]simplify: Simplified to 1 1546680005.487 * [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)))))) 1546680005.487 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1546680005.487 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546680005.487 * * [misc]simplify: iters left: 5 (8 enodes) 1546680005.490 * * [misc]simplify: iters left: 4 (11 enodes) 1546680005.494 * * [misc]simplify: iters left: 3 (14 enodes) 1546680005.498 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546680005.498 * [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))))) 1546680005.498 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1546680005.498 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1546680005.498 * [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))))) 1546680005.499 * * [misc]simplify: iters left: 6 (35 enodes) 1546680005.515 * * [misc]simplify: iters left: 5 (99 enodes) 1546680005.557 * * [misc]simplify: iters left: 4 (298 enodes) 1546680005.746 * [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))))))) 1546680005.746 * [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)))))))))) 1546680005.746 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1546680005.746 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1546680005.746 * * [misc]simplify: iters left: 6 (13 enodes) 1546680005.752 * * [misc]simplify: iters left: 5 (27 enodes) 1546680005.760 * * [misc]simplify: iters left: 4 (53 enodes) 1546680005.778 * * [misc]simplify: iters left: 3 (116 enodes) 1546680005.829 * * [misc]simplify: iters left: 2 (362 enodes) 1546680006.097 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1546680006.097 * [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))))) 1546680006.097 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1546680006.098 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1546680006.098 * * [misc]simplify: iters left: 6 (13 enodes) 1546680006.103 * * [misc]simplify: iters left: 5 (24 enodes) 1546680006.112 * * [misc]simplify: iters left: 4 (54 enodes) 1546680006.133 * * [misc]simplify: iters left: 3 (143 enodes) 1546680006.229 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1546680006.229 * [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))))))) 1546680006.229 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1546680006.229 * [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)))) 1546680006.230 * * [misc]simplify: iters left: 6 (18 enodes) 1546680006.236 * * [misc]simplify: iters left: 5 (39 enodes) 1546680006.251 * * [misc]simplify: iters left: 4 (104 enodes) 1546680006.286 * * [misc]simplify: iters left: 3 (275 enodes) 1546680006.400 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1546680006.400 * [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)))))) 1546680006.400 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1546680006.400 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546680006.400 * * [misc]simplify: iters left: 5 (6 enodes) 1546680006.402 * * [misc]simplify: iters left: 4 (9 enodes) 1546680006.406 * * [misc]simplify: iters left: 3 (17 enodes) 1546680006.410 * * [misc]simplify: iters left: 2 (20 enodes) 1546680006.415 * * [misc]simplify: iters left: 1 (24 enodes) 1546680006.424 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1546680006.424 * [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)))))) 1546680006.425 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1546680006.425 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546680006.425 * * [misc]simplify: iters left: 5 (6 enodes) 1546680006.427 * * [misc]simplify: iters left: 4 (9 enodes) 1546680006.430 * * [misc]simplify: iters left: 3 (17 enodes) 1546680006.434 * * [misc]simplify: iters left: 2 (20 enodes) 1546680006.439 * * [misc]simplify: iters left: 1 (24 enodes) 1546680006.448 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1546680006.448 * [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)))))) 1546680006.448 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1546680006.448 * [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)))))))))))) 1546680006.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546680006.448 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1546680006.449 * [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))))))))))) 1546680006.449 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546680006.449 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1546680006.449 * [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))))))))) 1546680006.449 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546680006.449 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1546680006.449 * [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))))))))))))))) 1546680006.449 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546680006.450 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1546680006.450 * [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)))))))) 1546680006.450 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546680006.450 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1546680006.450 * [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)))))))) 1546680006.450 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546680006.451 * * * [misc]progress: adding candidates to table 1546680010.105 * [misc]progress: [Phase 3 of 3] Extracting. 1546680010.105 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1546680010.108 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1546680010.108 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1546680010.191 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1546680010.243 * * * [misc]regime: Found split indices: #