1546942097.171 * [misc]progress: [Phase 1 of 3] Setting up. 1546942097.171 * * * [misc]progress: [1/2] Preparing points 1546942097.171 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1546942097.232 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.232 * * * * [misc]points: Sampling 195 additional inputs, on iter 1 have 61 / 256 1546942097.257 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.258 * * * * [misc]points: Sampling 149 additional inputs, on iter 2 have 107 / 256 1546942097.316 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.316 * * * * [misc]points: Sampling 112 additional inputs, on iter 3 have 144 / 256 1546942097.348 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.348 * * * * [misc]points: Sampling 76 additional inputs, on iter 4 have 180 / 256 1546942097.360 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.360 * * * * [misc]points: Sampling 61 additional inputs, on iter 5 have 195 / 256 1546942097.370 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.370 * * * * [misc]points: Sampling 49 additional inputs, on iter 6 have 207 / 256 1546942097.379 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.379 * * * * [misc]points: Sampling 44 additional inputs, on iter 7 have 212 / 256 1546942097.387 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.387 * * * * [misc]points: Sampling 31 additional inputs, on iter 8 have 225 / 256 1546942097.393 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.393 * * * * [misc]points: Sampling 20 additional inputs, on iter 9 have 236 / 256 1546942097.400 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.400 * * * * [misc]points: Sampling 16 additional inputs, on iter 10 have 240 / 256 1546942097.405 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.405 * * * * [misc]points: Sampling 14 additional inputs, on iter 11 have 242 / 256 1546942097.410 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.410 * * * * [misc]points: Sampling 13 additional inputs, on iter 12 have 243 / 256 1546942097.415 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.415 * * * * [misc]points: Sampling 9 additional inputs, on iter 13 have 247 / 256 1546942097.419 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.419 * * * * [misc]points: Sampling 5 additional inputs, on iter 14 have 251 / 256 1546942097.422 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.422 * * * * [misc]points: Sampling 5 additional inputs, on iter 15 have 251 / 256 1546942097.454 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.454 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 253 / 256 1546942097.458 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.458 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 254 / 256 1546942097.461 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.461 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 254 / 256 1546942097.467 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.467 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 254 / 256 1546942097.471 * * * * [misc]points: Filtering points with unrepresentable outputs 1546942097.471 * * * * [exit]points: Sampled 257 points with exact outputs 1546942097.471 * * * [misc]progress: [2/2] Setting up program. 1546942097.474 * [misc]progress: [Phase 2 of 3] Improving. 1546942097.474 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1546942097.474 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1546942097.474 * * [misc]simplify: iters left: 6 (13 enodes) 1546942097.478 * * [misc]simplify: iters left: 5 (28 enodes) 1546942097.481 * * [misc]simplify: iters left: 4 (44 enodes) 1546942097.491 * * [misc]simplify: iters left: 3 (54 enodes) 1546942097.503 * * [misc]simplify: iters left: 2 (57 enodes) 1546942097.514 * * [misc]simplify: iters left: 1 (65 enodes) 1546942097.529 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546942097.529 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942097.543 * * [misc]progress: iteration 1 / 4 1546942097.543 * * * [misc]progress: picking best candidate 1546942097.549 * * * * [misc]pick: Picked # 1546942097.549 * * * [misc]progress: localizing error 1546942097.577 * * * [misc]progress: generating rewritten candidates 1546942097.577 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1546942097.581 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1546942097.583 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1546942097.594 * * * [misc]progress: generating series expansions 1546942097.594 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1546942097.594 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546942097.595 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546942097.595 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546942097.595 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546942097.595 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546942097.595 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942097.595 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.595 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942097.595 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.595 * [misc]taylor: Taking taylor expansion of k in k 1546942097.595 * [misc]backup-simplify: Simplify 0 into 0 1546942097.595 * [misc]backup-simplify: Simplify 1 into 1 1546942097.595 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546942097.595 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546942097.595 * [misc]taylor: Taking taylor expansion of 2 in k 1546942097.595 * [misc]backup-simplify: Simplify 2 into 2 1546942097.595 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546942097.595 * [misc]taylor: Taking taylor expansion of n in k 1546942097.595 * [misc]backup-simplify: Simplify n into n 1546942097.595 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.595 * [misc]backup-simplify: Simplify PI into PI 1546942097.595 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546942097.595 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546942097.595 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546942097.596 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942097.596 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.596 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942097.596 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546942097.596 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546942097.596 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942097.596 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942097.596 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942097.596 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942097.596 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.596 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942097.596 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.596 * [misc]taylor: Taking taylor expansion of k in n 1546942097.596 * [misc]backup-simplify: Simplify k into k 1546942097.596 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942097.596 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942097.596 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.596 * [misc]backup-simplify: Simplify 2 into 2 1546942097.596 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942097.596 * [misc]taylor: Taking taylor expansion of n in n 1546942097.596 * [misc]backup-simplify: Simplify 0 into 0 1546942097.597 * [misc]backup-simplify: Simplify 1 into 1 1546942097.597 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.597 * [misc]backup-simplify: Simplify PI into PI 1546942097.597 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942097.597 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942097.597 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942097.598 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942097.598 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.598 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942097.598 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942097.598 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942097.599 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.599 * [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)))) 1546942097.599 * [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))))) 1546942097.599 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942097.599 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942097.599 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942097.599 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942097.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.599 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942097.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.599 * [misc]taylor: Taking taylor expansion of k in n 1546942097.600 * [misc]backup-simplify: Simplify k into k 1546942097.600 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942097.600 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942097.600 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.600 * [misc]backup-simplify: Simplify 2 into 2 1546942097.600 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942097.600 * [misc]taylor: Taking taylor expansion of n in n 1546942097.600 * [misc]backup-simplify: Simplify 0 into 0 1546942097.600 * [misc]backup-simplify: Simplify 1 into 1 1546942097.600 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.600 * [misc]backup-simplify: Simplify PI into PI 1546942097.600 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942097.600 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942097.600 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942097.601 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942097.601 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.601 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942097.601 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942097.601 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942097.602 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.602 * [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)))) 1546942097.602 * [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))))) 1546942097.602 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546942097.602 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546942097.603 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942097.603 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.603 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942097.603 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.603 * [misc]taylor: Taking taylor expansion of k in k 1546942097.603 * [misc]backup-simplify: Simplify 0 into 0 1546942097.603 * [misc]backup-simplify: Simplify 1 into 1 1546942097.603 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546942097.603 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942097.603 * [misc]taylor: Taking taylor expansion of n in k 1546942097.603 * [misc]backup-simplify: Simplify n into n 1546942097.603 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942097.603 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942097.603 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942097.603 * [misc]taylor: Taking taylor expansion of 2 in k 1546942097.603 * [misc]backup-simplify: Simplify 2 into 2 1546942097.603 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.603 * [misc]backup-simplify: Simplify PI into PI 1546942097.603 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.603 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.603 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942097.604 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.604 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942097.604 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.604 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546942097.605 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942097.605 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942097.606 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942097.606 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942097.608 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942097.608 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942097.608 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.609 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.609 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546942097.610 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942097.610 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.610 * [misc]backup-simplify: Simplify 0 into 0 1546942097.610 * [misc]backup-simplify: Simplify 0 into 0 1546942097.611 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942097.611 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942097.613 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942097.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.613 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942097.613 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942097.613 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942097.613 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546942097.614 * [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))))))) 1546942097.615 * [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))))))) 1546942097.616 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942097.617 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942097.620 * [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 1546942097.620 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942097.620 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.620 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.621 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.621 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942097.622 * [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 1546942097.622 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.622 * [misc]backup-simplify: Simplify 0 into 0 1546942097.623 * [misc]backup-simplify: Simplify 0 into 0 1546942097.623 * [misc]backup-simplify: Simplify 0 into 0 1546942097.623 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942097.624 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942097.627 * [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 1546942097.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.627 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942097.627 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.628 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942097.629 * [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))))) 1546942097.631 * [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))))) 1546942097.634 * [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))))) 1546942097.634 * [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)))) 1546942097.634 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546942097.634 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942097.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546942097.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546942097.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942097.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.634 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942097.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.634 * [misc]taylor: Taking taylor expansion of k in k 1546942097.634 * [misc]backup-simplify: Simplify 0 into 0 1546942097.634 * [misc]backup-simplify: Simplify 1 into 1 1546942097.634 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.634 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546942097.634 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546942097.634 * [misc]taylor: Taking taylor expansion of 2 in k 1546942097.635 * [misc]backup-simplify: Simplify 2 into 2 1546942097.635 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942097.635 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.635 * [misc]backup-simplify: Simplify PI into PI 1546942097.635 * [misc]taylor: Taking taylor expansion of n in k 1546942097.635 * [misc]backup-simplify: Simplify n into n 1546942097.635 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942097.635 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546942097.635 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546942097.635 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942097.635 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942097.635 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942097.635 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546942097.635 * [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)))) 1546942097.635 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942097.635 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942097.635 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942097.635 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942097.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.635 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942097.636 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.636 * [misc]taylor: Taking taylor expansion of k in n 1546942097.636 * [misc]backup-simplify: Simplify k into k 1546942097.636 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.636 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942097.636 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942097.636 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.636 * [misc]backup-simplify: Simplify 2 into 2 1546942097.636 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.636 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.636 * [misc]backup-simplify: Simplify PI into PI 1546942097.636 * [misc]taylor: Taking taylor expansion of n in n 1546942097.636 * [misc]backup-simplify: Simplify 0 into 0 1546942097.636 * [misc]backup-simplify: Simplify 1 into 1 1546942097.636 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.636 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.637 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.637 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942097.637 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942097.637 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942097.637 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.637 * [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))) 1546942097.638 * [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)))) 1546942097.638 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942097.638 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942097.638 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942097.638 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942097.638 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.638 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942097.638 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.638 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.638 * [misc]taylor: Taking taylor expansion of k in n 1546942097.638 * [misc]backup-simplify: Simplify k into k 1546942097.638 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.638 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942097.638 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942097.638 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.638 * [misc]backup-simplify: Simplify 2 into 2 1546942097.638 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.638 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.638 * [misc]backup-simplify: Simplify PI into PI 1546942097.638 * [misc]taylor: Taking taylor expansion of n in n 1546942097.638 * [misc]backup-simplify: Simplify 0 into 0 1546942097.638 * [misc]backup-simplify: Simplify 1 into 1 1546942097.638 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.639 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.639 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.639 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942097.639 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942097.639 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942097.640 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.640 * [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))) 1546942097.640 * [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)))) 1546942097.640 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546942097.640 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546942097.640 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942097.640 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.640 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942097.640 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.641 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.641 * [misc]taylor: Taking taylor expansion of k in k 1546942097.641 * [misc]backup-simplify: Simplify 0 into 0 1546942097.641 * [misc]backup-simplify: Simplify 1 into 1 1546942097.641 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.641 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546942097.641 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942097.641 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942097.641 * [misc]taylor: Taking taylor expansion of 2 in k 1546942097.641 * [misc]backup-simplify: Simplify 2 into 2 1546942097.641 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.641 * [misc]backup-simplify: Simplify PI into PI 1546942097.641 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.641 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.641 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942097.641 * [misc]taylor: Taking taylor expansion of n in k 1546942097.641 * [misc]backup-simplify: Simplify n into n 1546942097.641 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942097.642 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942097.642 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942097.642 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942097.642 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942097.642 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546942097.642 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546942097.643 * [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)))) 1546942097.643 * [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)))) 1546942097.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942097.644 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942097.646 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942097.646 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942097.646 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942097.646 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.647 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.647 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546942097.649 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942097.649 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.649 * [misc]backup-simplify: Simplify 0 into 0 1546942097.649 * [misc]backup-simplify: Simplify 0 into 0 1546942097.649 * [misc]backup-simplify: Simplify 0 into 0 1546942097.650 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.651 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942097.657 * [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 1546942097.657 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942097.657 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.658 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.658 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.659 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546942097.661 * [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 1546942097.661 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.661 * [misc]backup-simplify: Simplify 0 into 0 1546942097.661 * [misc]backup-simplify: Simplify 0 into 0 1546942097.662 * [misc]backup-simplify: Simplify 0 into 0 1546942097.662 * [misc]backup-simplify: Simplify 0 into 0 1546942097.664 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.665 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942097.673 * [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 1546942097.673 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.674 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942097.674 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.674 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.675 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.676 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546942097.683 * [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 1546942097.683 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.683 * [misc]backup-simplify: Simplify 0 into 0 1546942097.683 * [misc]backup-simplify: Simplify 0 into 0 1546942097.684 * [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))))) 1546942097.685 * [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)) 1546942097.685 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546942097.685 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942097.685 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546942097.685 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546942097.685 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942097.685 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942097.685 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.685 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.685 * [misc]taylor: Taking taylor expansion of k in k 1546942097.685 * [misc]backup-simplify: Simplify 0 into 0 1546942097.685 * [misc]backup-simplify: Simplify 1 into 1 1546942097.685 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.685 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.685 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546942097.685 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546942097.685 * [misc]taylor: Taking taylor expansion of -2 in k 1546942097.685 * [misc]backup-simplify: Simplify -2 into -2 1546942097.685 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942097.685 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.685 * [misc]backup-simplify: Simplify PI into PI 1546942097.685 * [misc]taylor: Taking taylor expansion of n in k 1546942097.685 * [misc]backup-simplify: Simplify n into n 1546942097.686 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942097.686 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546942097.686 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546942097.686 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942097.686 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942097.686 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546942097.686 * [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))) 1546942097.686 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942097.686 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942097.686 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942097.687 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942097.687 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942097.687 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.687 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.687 * [misc]taylor: Taking taylor expansion of k in n 1546942097.687 * [misc]backup-simplify: Simplify k into k 1546942097.687 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.687 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.687 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942097.687 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942097.687 * [misc]taylor: Taking taylor expansion of -2 in n 1546942097.687 * [misc]backup-simplify: Simplify -2 into -2 1546942097.687 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.687 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.687 * [misc]backup-simplify: Simplify PI into PI 1546942097.687 * [misc]taylor: Taking taylor expansion of n in n 1546942097.687 * [misc]backup-simplify: Simplify 0 into 0 1546942097.687 * [misc]backup-simplify: Simplify 1 into 1 1546942097.688 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.688 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942097.689 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942097.689 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942097.689 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942097.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942097.690 * [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))) 1546942097.691 * [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)))) 1546942097.691 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942097.691 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942097.691 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942097.691 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942097.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942097.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.691 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.691 * [misc]taylor: Taking taylor expansion of k in n 1546942097.691 * [misc]backup-simplify: Simplify k into k 1546942097.691 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.691 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942097.691 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942097.691 * [misc]taylor: Taking taylor expansion of -2 in n 1546942097.691 * [misc]backup-simplify: Simplify -2 into -2 1546942097.691 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.691 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.691 * [misc]backup-simplify: Simplify PI into PI 1546942097.691 * [misc]taylor: Taking taylor expansion of n in n 1546942097.691 * [misc]backup-simplify: Simplify 0 into 0 1546942097.691 * [misc]backup-simplify: Simplify 1 into 1 1546942097.692 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.692 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942097.692 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942097.692 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942097.693 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942097.693 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942097.694 * [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))) 1546942097.694 * [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)))) 1546942097.695 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546942097.695 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546942097.695 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942097.695 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942097.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.695 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.695 * [misc]taylor: Taking taylor expansion of k in k 1546942097.695 * [misc]backup-simplify: Simplify 0 into 0 1546942097.695 * [misc]backup-simplify: Simplify 1 into 1 1546942097.695 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.695 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546942097.695 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546942097.695 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546942097.695 * [misc]taylor: Taking taylor expansion of -2 in k 1546942097.695 * [misc]backup-simplify: Simplify -2 into -2 1546942097.695 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.695 * [misc]backup-simplify: Simplify PI into PI 1546942097.696 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942097.696 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942097.696 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942097.696 * [misc]taylor: Taking taylor expansion of n in k 1546942097.696 * [misc]backup-simplify: Simplify n into n 1546942097.696 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942097.696 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942097.696 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942097.697 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942097.697 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546942097.698 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546942097.698 * [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)))) 1546942097.699 * [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)))) 1546942097.700 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942097.701 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942097.703 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546942097.704 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942097.704 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942097.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.705 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942097.705 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546942097.707 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942097.707 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.707 * [misc]backup-simplify: Simplify 0 into 0 1546942097.707 * [misc]backup-simplify: Simplify 0 into 0 1546942097.707 * [misc]backup-simplify: Simplify 0 into 0 1546942097.709 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.710 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942097.715 * [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 1546942097.715 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.715 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942097.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.716 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942097.717 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546942097.719 * [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 1546942097.720 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.720 * [misc]backup-simplify: Simplify 0 into 0 1546942097.720 * [misc]backup-simplify: Simplify 0 into 0 1546942097.720 * [misc]backup-simplify: Simplify 0 into 0 1546942097.720 * [misc]backup-simplify: Simplify 0 into 0 1546942097.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.723 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942097.731 * [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 1546942097.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.732 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942097.732 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.732 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942097.733 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546942097.737 * [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 1546942097.737 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.737 * [misc]backup-simplify: Simplify 0 into 0 1546942097.737 * [misc]backup-simplify: Simplify 0 into 0 1546942097.738 * [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))))) 1546942097.738 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1546942097.738 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546942097.738 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546942097.738 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942097.738 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.738 * [misc]backup-simplify: Simplify 2 into 2 1546942097.738 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942097.738 * [misc]taylor: Taking taylor expansion of n in n 1546942097.738 * [misc]backup-simplify: Simplify 0 into 0 1546942097.738 * [misc]backup-simplify: Simplify 1 into 1 1546942097.738 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.738 * [misc]backup-simplify: Simplify PI into PI 1546942097.738 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942097.738 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.738 * [misc]backup-simplify: Simplify 2 into 2 1546942097.739 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942097.739 * [misc]taylor: Taking taylor expansion of n in n 1546942097.739 * [misc]backup-simplify: Simplify 0 into 0 1546942097.739 * [misc]backup-simplify: Simplify 1 into 1 1546942097.739 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.739 * [misc]backup-simplify: Simplify PI into PI 1546942097.739 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942097.739 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942097.739 * [misc]backup-simplify: Simplify 0 into 0 1546942097.740 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942097.741 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942097.741 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.742 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942097.743 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942097.743 * [misc]backup-simplify: Simplify 0 into 0 1546942097.744 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942097.746 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942097.746 * [misc]backup-simplify: Simplify 0 into 0 1546942097.748 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942097.750 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546942097.750 * [misc]backup-simplify: Simplify 0 into 0 1546942097.753 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546942097.755 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546942097.755 * [misc]backup-simplify: Simplify 0 into 0 1546942097.757 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546942097.759 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546942097.760 * [misc]backup-simplify: Simplify 0 into 0 1546942097.762 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546942097.764 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546942097.764 * [misc]backup-simplify: Simplify 0 into 0 1546942097.765 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546942097.765 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546942097.765 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546942097.765 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942097.765 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.765 * [misc]backup-simplify: Simplify 2 into 2 1546942097.765 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.765 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.765 * [misc]backup-simplify: Simplify PI into PI 1546942097.765 * [misc]taylor: Taking taylor expansion of n in n 1546942097.765 * [misc]backup-simplify: Simplify 0 into 0 1546942097.765 * [misc]backup-simplify: Simplify 1 into 1 1546942097.765 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.765 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942097.765 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.765 * [misc]backup-simplify: Simplify 2 into 2 1546942097.765 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.765 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.765 * [misc]backup-simplify: Simplify PI into PI 1546942097.765 * [misc]taylor: Taking taylor expansion of n in n 1546942097.765 * [misc]backup-simplify: Simplify 0 into 0 1546942097.765 * [misc]backup-simplify: Simplify 1 into 1 1546942097.765 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.766 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.766 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.766 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942097.767 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942097.767 * [misc]backup-simplify: Simplify 0 into 0 1546942097.768 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.768 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942097.768 * [misc]backup-simplify: Simplify 0 into 0 1546942097.769 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.770 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942097.770 * [misc]backup-simplify: Simplify 0 into 0 1546942097.771 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.772 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942097.772 * [misc]backup-simplify: Simplify 0 into 0 1546942097.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.775 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546942097.775 * [misc]backup-simplify: Simplify 0 into 0 1546942097.776 * [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 1546942097.778 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546942097.778 * [misc]backup-simplify: Simplify 0 into 0 1546942097.779 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546942097.779 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546942097.779 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546942097.779 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942097.779 * [misc]taylor: Taking taylor expansion of -2 in n 1546942097.779 * [misc]backup-simplify: Simplify -2 into -2 1546942097.779 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.779 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.779 * [misc]backup-simplify: Simplify PI into PI 1546942097.779 * [misc]taylor: Taking taylor expansion of n in n 1546942097.779 * [misc]backup-simplify: Simplify 0 into 0 1546942097.779 * [misc]backup-simplify: Simplify 1 into 1 1546942097.779 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.779 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942097.779 * [misc]taylor: Taking taylor expansion of -2 in n 1546942097.779 * [misc]backup-simplify: Simplify -2 into -2 1546942097.779 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.779 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.779 * [misc]backup-simplify: Simplify PI into PI 1546942097.779 * [misc]taylor: Taking taylor expansion of n in n 1546942097.779 * [misc]backup-simplify: Simplify 0 into 0 1546942097.779 * [misc]backup-simplify: Simplify 1 into 1 1546942097.779 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.780 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942097.780 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942097.780 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942097.781 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942097.781 * [misc]backup-simplify: Simplify 0 into 0 1546942097.781 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.782 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942097.782 * [misc]backup-simplify: Simplify 0 into 0 1546942097.783 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.784 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942097.784 * [misc]backup-simplify: Simplify 0 into 0 1546942097.785 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.786 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942097.786 * [misc]backup-simplify: Simplify 0 into 0 1546942097.787 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.790 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546942097.790 * [misc]backup-simplify: Simplify 0 into 0 1546942097.793 * [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 1546942097.796 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546942097.796 * [misc]backup-simplify: Simplify 0 into 0 1546942097.796 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546942097.796 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1546942097.796 * [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)))) 1546942097.797 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1546942097.797 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546942097.797 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546942097.797 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.797 * [misc]taylor: Taking taylor expansion of k in k 1546942097.797 * [misc]backup-simplify: Simplify 0 into 0 1546942097.797 * [misc]backup-simplify: Simplify 1 into 1 1546942097.797 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.797 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942097.798 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942097.798 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546942097.798 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546942097.798 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546942097.798 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942097.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.798 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942097.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.798 * [misc]taylor: Taking taylor expansion of k in k 1546942097.798 * [misc]backup-simplify: Simplify 0 into 0 1546942097.798 * [misc]backup-simplify: Simplify 1 into 1 1546942097.798 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546942097.798 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546942097.798 * [misc]taylor: Taking taylor expansion of 2 in k 1546942097.798 * [misc]backup-simplify: Simplify 2 into 2 1546942097.798 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546942097.798 * [misc]taylor: Taking taylor expansion of n in k 1546942097.798 * [misc]backup-simplify: Simplify n into n 1546942097.798 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.798 * [misc]backup-simplify: Simplify PI into PI 1546942097.798 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546942097.799 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546942097.799 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546942097.799 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942097.799 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.799 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942097.799 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546942097.799 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546942097.799 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546942097.799 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546942097.799 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.799 * [misc]taylor: Taking taylor expansion of k in n 1546942097.800 * [misc]backup-simplify: Simplify k into k 1546942097.800 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.800 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546942097.800 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942097.800 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546942097.800 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942097.800 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942097.800 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942097.800 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942097.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.800 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942097.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.800 * [misc]taylor: Taking taylor expansion of k in n 1546942097.800 * [misc]backup-simplify: Simplify k into k 1546942097.800 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942097.800 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942097.800 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.800 * [misc]backup-simplify: Simplify 2 into 2 1546942097.800 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942097.800 * [misc]taylor: Taking taylor expansion of n in n 1546942097.800 * [misc]backup-simplify: Simplify 0 into 0 1546942097.800 * [misc]backup-simplify: Simplify 1 into 1 1546942097.800 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.800 * [misc]backup-simplify: Simplify PI into PI 1546942097.801 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942097.801 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942097.802 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942097.802 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942097.803 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.803 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942097.803 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942097.803 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942097.803 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.804 * [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)))) 1546942097.804 * [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))))) 1546942097.804 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546942097.804 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546942097.804 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.804 * [misc]taylor: Taking taylor expansion of k in n 1546942097.804 * [misc]backup-simplify: Simplify k into k 1546942097.804 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.804 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546942097.804 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942097.804 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546942097.804 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942097.805 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942097.805 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942097.805 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942097.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.805 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942097.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.805 * [misc]taylor: Taking taylor expansion of k in n 1546942097.805 * [misc]backup-simplify: Simplify k into k 1546942097.805 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942097.805 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942097.805 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.805 * [misc]backup-simplify: Simplify 2 into 2 1546942097.805 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942097.805 * [misc]taylor: Taking taylor expansion of n in n 1546942097.805 * [misc]backup-simplify: Simplify 0 into 0 1546942097.805 * [misc]backup-simplify: Simplify 1 into 1 1546942097.805 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.805 * [misc]backup-simplify: Simplify PI into PI 1546942097.805 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942097.805 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942097.805 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942097.806 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942097.806 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.806 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942097.806 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942097.806 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942097.807 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.807 * [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)))) 1546942097.807 * [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))))) 1546942097.808 * [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))) 1546942097.808 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1546942097.808 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546942097.808 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546942097.808 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942097.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.808 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942097.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.808 * [misc]taylor: Taking taylor expansion of k in k 1546942097.808 * [misc]backup-simplify: Simplify 0 into 0 1546942097.808 * [misc]backup-simplify: Simplify 1 into 1 1546942097.808 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546942097.808 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942097.808 * [misc]taylor: Taking taylor expansion of n in k 1546942097.808 * [misc]backup-simplify: Simplify n into n 1546942097.808 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942097.808 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942097.808 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942097.808 * [misc]taylor: Taking taylor expansion of 2 in k 1546942097.809 * [misc]backup-simplify: Simplify 2 into 2 1546942097.809 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.809 * [misc]backup-simplify: Simplify PI into PI 1546942097.809 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.809 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.809 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942097.809 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.809 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942097.810 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.810 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546942097.810 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942097.810 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546942097.810 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.810 * [misc]taylor: Taking taylor expansion of k in k 1546942097.810 * [misc]backup-simplify: Simplify 0 into 0 1546942097.810 * [misc]backup-simplify: Simplify 1 into 1 1546942097.811 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.811 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942097.811 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942097.811 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1546942097.811 * [misc]backup-simplify: Simplify 0 into 0 1546942097.812 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942097.813 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942097.815 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942097.815 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942097.815 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.815 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.816 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.816 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546942097.817 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942097.818 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1546942097.818 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.818 * [misc]backup-simplify: Simplify 0 into 0 1546942097.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942097.819 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942097.820 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942097.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.820 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942097.820 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942097.820 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942097.821 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546942097.822 * [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))))))) 1546942097.823 * [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))))))) 1546942097.823 * [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))))))) 1546942097.824 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942097.825 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942097.828 * [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 1546942097.828 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942097.828 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.828 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.829 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.829 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942097.831 * [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 1546942097.831 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.831 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1546942097.832 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1546942097.832 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.832 * [misc]backup-simplify: Simplify 0 into 0 1546942097.832 * [misc]backup-simplify: Simplify 0 into 0 1546942097.832 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546942097.833 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942097.835 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942097.836 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942097.841 * [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 1546942097.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942097.842 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.842 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.842 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942097.845 * [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))))) 1546942097.849 * [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)))))))) 1546942097.852 * [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)))))))) 1546942097.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942097.856 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546942097.865 * [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 1546942097.865 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1546942097.865 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.866 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.866 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942097.867 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546942097.871 * [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 1546942097.871 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.871 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1546942097.872 * [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 1546942097.872 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.872 * [misc]backup-simplify: Simplify 0 into 0 1546942097.872 * [misc]backup-simplify: Simplify 0 into 0 1546942097.873 * [misc]backup-simplify: Simplify 0 into 0 1546942097.873 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.874 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942097.877 * [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 1546942097.878 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942097.886 * [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 1546942097.886 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.886 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546942097.887 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.887 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.887 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546942097.890 * [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))))))) 1546942097.895 * [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)))))))))))))) 1546942097.899 * [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)))))))))))))) 1546942097.905 * [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)))))))))))))))))))))) 1546942097.906 * [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))))) 1546942097.906 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1546942097.906 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546942097.906 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546942097.906 * [misc]taylor: Taking taylor expansion of k in k 1546942097.906 * [misc]backup-simplify: Simplify 0 into 0 1546942097.906 * [misc]backup-simplify: Simplify 1 into 1 1546942097.906 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942097.906 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942097.906 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942097.906 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546942097.906 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546942097.906 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942097.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.906 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942097.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.906 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.906 * [misc]taylor: Taking taylor expansion of k in k 1546942097.906 * [misc]backup-simplify: Simplify 0 into 0 1546942097.906 * [misc]backup-simplify: Simplify 1 into 1 1546942097.906 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.907 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546942097.907 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546942097.907 * [misc]taylor: Taking taylor expansion of 2 in k 1546942097.907 * [misc]backup-simplify: Simplify 2 into 2 1546942097.907 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942097.907 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.907 * [misc]backup-simplify: Simplify PI into PI 1546942097.907 * [misc]taylor: Taking taylor expansion of n in k 1546942097.907 * [misc]backup-simplify: Simplify n into n 1546942097.907 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942097.907 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546942097.907 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546942097.907 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942097.907 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942097.907 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942097.907 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546942097.907 * [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)))) 1546942097.907 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546942097.907 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546942097.907 * [misc]taylor: Taking taylor expansion of k in n 1546942097.907 * [misc]backup-simplify: Simplify k into k 1546942097.907 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546942097.907 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546942097.907 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942097.908 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942097.908 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942097.908 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942097.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942097.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.908 * [misc]taylor: Taking taylor expansion of k in n 1546942097.908 * [misc]backup-simplify: Simplify k into k 1546942097.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.908 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942097.908 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942097.908 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.908 * [misc]backup-simplify: Simplify 2 into 2 1546942097.908 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.908 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.908 * [misc]backup-simplify: Simplify PI into PI 1546942097.908 * [misc]taylor: Taking taylor expansion of n in n 1546942097.908 * [misc]backup-simplify: Simplify 0 into 0 1546942097.908 * [misc]backup-simplify: Simplify 1 into 1 1546942097.908 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.908 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.909 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.909 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942097.909 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942097.909 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942097.909 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.909 * [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))) 1546942097.910 * [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)))) 1546942097.910 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of k in n 1546942097.910 * [misc]backup-simplify: Simplify k into k 1546942097.910 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546942097.910 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546942097.910 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.910 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.910 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of k in n 1546942097.910 * [misc]backup-simplify: Simplify k into k 1546942097.910 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.910 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of 2 in n 1546942097.910 * [misc]backup-simplify: Simplify 2 into 2 1546942097.910 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.910 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.910 * [misc]backup-simplify: Simplify PI into PI 1546942097.910 * [misc]taylor: Taking taylor expansion of n in n 1546942097.910 * [misc]backup-simplify: Simplify 0 into 0 1546942097.910 * [misc]backup-simplify: Simplify 1 into 1 1546942097.911 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.911 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.911 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.911 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942097.911 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942097.911 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942097.912 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.912 * [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))) 1546942097.912 * [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)))) 1546942097.913 * [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)) 1546942097.913 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1546942097.913 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546942097.913 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546942097.913 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942097.913 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.913 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942097.913 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.913 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.913 * [misc]taylor: Taking taylor expansion of k in k 1546942097.913 * [misc]backup-simplify: Simplify 0 into 0 1546942097.913 * [misc]backup-simplify: Simplify 1 into 1 1546942097.913 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.913 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546942097.913 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942097.913 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942097.913 * [misc]taylor: Taking taylor expansion of 2 in k 1546942097.913 * [misc]backup-simplify: Simplify 2 into 2 1546942097.913 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.913 * [misc]backup-simplify: Simplify PI into PI 1546942097.914 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942097.914 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942097.914 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942097.914 * [misc]taylor: Taking taylor expansion of n in k 1546942097.914 * [misc]backup-simplify: Simplify n into n 1546942097.914 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942097.914 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942097.914 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942097.914 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942097.914 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942097.915 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546942097.915 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546942097.916 * [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)))) 1546942097.916 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546942097.916 * [misc]taylor: Taking taylor expansion of k in k 1546942097.916 * [misc]backup-simplify: Simplify 0 into 0 1546942097.916 * [misc]backup-simplify: Simplify 1 into 1 1546942097.916 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942097.916 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942097.916 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1546942097.917 * [misc]backup-simplify: Simplify 0 into 0 1546942097.917 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942097.918 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942097.919 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942097.919 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942097.919 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942097.920 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.920 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.920 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.920 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546942097.921 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942097.922 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546942097.922 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.922 * [misc]backup-simplify: Simplify 0 into 0 1546942097.922 * [misc]backup-simplify: Simplify 0 into 0 1546942097.922 * [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)))))) 1546942097.923 * [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)))))) 1546942097.924 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.924 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942097.927 * [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 1546942097.927 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.927 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942097.927 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.928 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.928 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.928 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546942097.930 * [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 1546942097.931 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1546942097.932 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546942097.932 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.932 * [misc]backup-simplify: Simplify 0 into 0 1546942097.932 * [misc]backup-simplify: Simplify 0 into 0 1546942097.932 * [misc]backup-simplify: Simplify 0 into 0 1546942097.933 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942097.934 * [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)))))) 1546942097.934 * [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)))))) 1546942097.936 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.938 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942097.945 * [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 1546942097.946 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.946 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942097.946 * [misc]backup-simplify: Simplify (- 0) into 0 1546942097.946 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.947 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942097.948 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546942097.952 * [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 1546942097.952 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1546942097.953 * [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 1546942097.953 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.953 * [misc]backup-simplify: Simplify 0 into 0 1546942097.953 * [misc]backup-simplify: Simplify 0 into 0 1546942097.953 * [misc]backup-simplify: Simplify 0 into 0 1546942097.953 * [misc]backup-simplify: Simplify 0 into 0 1546942097.955 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942097.956 * [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)))))) 1546942097.956 * [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)))))) 1546942097.959 * [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)))))))) 1546942097.959 * [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))) 1546942097.959 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1546942097.959 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546942097.959 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942097.959 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546942097.959 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546942097.960 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942097.960 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942097.960 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.960 * [misc]taylor: Taking taylor expansion of k in k 1546942097.960 * [misc]backup-simplify: Simplify 0 into 0 1546942097.960 * [misc]backup-simplify: Simplify 1 into 1 1546942097.960 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.960 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.960 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546942097.960 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546942097.960 * [misc]taylor: Taking taylor expansion of -2 in k 1546942097.960 * [misc]backup-simplify: Simplify -2 into -2 1546942097.960 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942097.960 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.960 * [misc]backup-simplify: Simplify PI into PI 1546942097.960 * [misc]taylor: Taking taylor expansion of n in k 1546942097.960 * [misc]backup-simplify: Simplify n into n 1546942097.960 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942097.960 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546942097.960 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546942097.961 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942097.961 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942097.961 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546942097.961 * [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))) 1546942097.961 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546942097.961 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546942097.961 * [misc]taylor: Taking taylor expansion of -1 in k 1546942097.961 * [misc]backup-simplify: Simplify -1 into -1 1546942097.961 * [misc]taylor: Taking taylor expansion of k in k 1546942097.961 * [misc]backup-simplify: Simplify 0 into 0 1546942097.961 * [misc]backup-simplify: Simplify 1 into 1 1546942097.961 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546942097.962 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942097.962 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546942097.963 * [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)))) 1546942097.963 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of k in n 1546942097.963 * [misc]backup-simplify: Simplify k into k 1546942097.963 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.963 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of -2 in n 1546942097.963 * [misc]backup-simplify: Simplify -2 into -2 1546942097.963 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.963 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.963 * [misc]backup-simplify: Simplify PI into PI 1546942097.963 * [misc]taylor: Taking taylor expansion of n in n 1546942097.963 * [misc]backup-simplify: Simplify 0 into 0 1546942097.963 * [misc]backup-simplify: Simplify 1 into 1 1546942097.964 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.964 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942097.964 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942097.964 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942097.965 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942097.965 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942097.966 * [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))) 1546942097.966 * [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)))) 1546942097.966 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546942097.966 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546942097.967 * [misc]taylor: Taking taylor expansion of -1 in n 1546942097.967 * [misc]backup-simplify: Simplify -1 into -1 1546942097.967 * [misc]taylor: Taking taylor expansion of k in n 1546942097.967 * [misc]backup-simplify: Simplify k into k 1546942097.967 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546942097.967 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546942097.967 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546942097.967 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546942097.967 * [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))) 1546942097.968 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of k in n 1546942097.968 * [misc]backup-simplify: Simplify k into k 1546942097.968 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942097.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942097.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.968 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of -2 in n 1546942097.968 * [misc]backup-simplify: Simplify -2 into -2 1546942097.968 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942097.968 * [misc]taylor: Taking taylor expansion of PI in n 1546942097.968 * [misc]backup-simplify: Simplify PI into PI 1546942097.968 * [misc]taylor: Taking taylor expansion of n in n 1546942097.968 * [misc]backup-simplify: Simplify 0 into 0 1546942097.968 * [misc]backup-simplify: Simplify 1 into 1 1546942097.968 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942097.968 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942097.969 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942097.969 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942097.969 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942097.969 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942097.970 * [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))) 1546942097.970 * [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)))) 1546942097.970 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546942097.970 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546942097.970 * [misc]taylor: Taking taylor expansion of -1 in n 1546942097.970 * [misc]backup-simplify: Simplify -1 into -1 1546942097.970 * [misc]taylor: Taking taylor expansion of k in n 1546942097.970 * [misc]backup-simplify: Simplify k into k 1546942097.970 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546942097.970 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546942097.971 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546942097.971 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546942097.971 * [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))) 1546942097.971 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1546942097.971 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546942097.971 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546942097.971 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942097.971 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942097.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.971 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942097.971 * [misc]taylor: Taking taylor expansion of k in k 1546942097.971 * [misc]backup-simplify: Simplify 0 into 0 1546942097.971 * [misc]backup-simplify: Simplify 1 into 1 1546942097.971 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942097.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942097.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942097.971 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546942097.971 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546942097.971 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546942097.972 * [misc]taylor: Taking taylor expansion of -2 in k 1546942097.972 * [misc]backup-simplify: Simplify -2 into -2 1546942097.972 * [misc]taylor: Taking taylor expansion of PI in k 1546942097.972 * [misc]backup-simplify: Simplify PI into PI 1546942097.972 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942097.972 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942097.972 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942097.972 * [misc]taylor: Taking taylor expansion of n in k 1546942097.972 * [misc]backup-simplify: Simplify n into n 1546942097.972 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942097.972 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942097.972 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942097.972 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942097.973 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546942097.973 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546942097.973 * [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)))) 1546942097.973 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546942097.973 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546942097.973 * [misc]taylor: Taking taylor expansion of -1 in k 1546942097.974 * [misc]backup-simplify: Simplify -1 into -1 1546942097.974 * [misc]taylor: Taking taylor expansion of k in k 1546942097.974 * [misc]backup-simplify: Simplify 0 into 0 1546942097.974 * [misc]backup-simplify: Simplify 1 into 1 1546942097.974 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546942097.974 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942097.974 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546942097.974 * [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))))) 1546942097.975 * [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))))) 1546942097.976 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942097.976 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942097.977 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546942097.977 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942097.978 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942097.978 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.978 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942097.978 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546942097.979 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942097.980 * [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 1546942097.980 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.980 * [misc]backup-simplify: Simplify 0 into 0 1546942097.980 * [misc]backup-simplify: Simplify 0 into 0 1546942097.980 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546942097.981 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942097.981 * [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)))))) 1546942097.982 * [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)))))) 1546942097.983 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.983 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942097.986 * [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 1546942097.986 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.986 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942097.986 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942097.987 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942097.987 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546942097.989 * [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 1546942097.989 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942097.989 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546942097.990 * [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 1546942097.990 * [misc]taylor: Taking taylor expansion of 0 in k 1546942097.990 * [misc]backup-simplify: Simplify 0 into 0 1546942097.990 * [misc]backup-simplify: Simplify 0 into 0 1546942097.990 * [misc]backup-simplify: Simplify 0 into 0 1546942097.990 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942097.991 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942097.992 * [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)))))) 1546942097.992 * [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)))))) 1546942097.994 * [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))))))))))) 1546942097.994 * * * [misc]progress: simplifying candidates 1546942097.994 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1546942097.994 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1546942097.994 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1546942097.994 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546942097.994 * * [misc]simplify: iters left: 6 (11 enodes) 1546942097.996 * * [misc]simplify: iters left: 5 (21 enodes) 1546942097.999 * * [misc]simplify: iters left: 4 (47 enodes) 1546942098.008 * * [misc]simplify: iters left: 3 (113 enodes) 1546942098.041 * * [misc]simplify: iters left: 2 (328 enodes) 1546942098.292 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546942098.292 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1546942098.292 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1546942098.292 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1546942098.293 * [enter]simplify: Simplifying (* PI (* n 2)) 1546942098.293 * * [misc]simplify: iters left: 4 (5 enodes) 1546942098.294 * * [misc]simplify: iters left: 3 (9 enodes) 1546942098.297 * * [misc]simplify: iters left: 2 (15 enodes) 1546942098.301 * * [misc]simplify: iters left: 1 (17 enodes) 1546942098.305 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546942098.305 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1546942098.305 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1546942098.306 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546942098.306 * * [misc]simplify: iters left: 5 (8 enodes) 1546942098.308 * * [misc]simplify: iters left: 4 (12 enodes) 1546942098.309 * * [misc]simplify: iters left: 3 (18 enodes) 1546942098.312 * * [misc]simplify: iters left: 2 (20 enodes) 1546942098.315 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546942098.315 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1546942098.315 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1546942098.315 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546942098.315 * * [misc]simplify: iters left: 5 (6 enodes) 1546942098.316 * * [misc]simplify: iters left: 4 (8 enodes) 1546942098.317 * * [misc]simplify: iters left: 3 (11 enodes) 1546942098.319 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546942098.319 * [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))) 1546942098.319 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1546942098.319 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546942098.319 * * [misc]simplify: iters left: 5 (6 enodes) 1546942098.320 * * [misc]simplify: iters left: 4 (8 enodes) 1546942098.321 * * [misc]simplify: iters left: 3 (11 enodes) 1546942098.322 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546942098.322 * [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))) 1546942098.322 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1546942098.323 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546942098.323 * * [misc]simplify: iters left: 4 (5 enodes) 1546942098.323 * * [misc]simplify: iters left: 3 (7 enodes) 1546942098.324 * * [misc]simplify: iters left: 2 (10 enodes) 1546942098.326 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546942098.326 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1546942098.326 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1546942098.326 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942098.326 * * [misc]simplify: iters left: 5 (9 enodes) 1546942098.327 * * [misc]simplify: iters left: 4 (15 enodes) 1546942098.329 * * [misc]simplify: iters left: 3 (21 enodes) 1546942098.332 * * [misc]simplify: iters left: 2 (22 enodes) 1546942098.335 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942098.335 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546942098.335 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1546942098.335 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942098.335 * * [misc]simplify: iters left: 5 (9 enodes) 1546942098.336 * * [misc]simplify: iters left: 4 (15 enodes) 1546942098.338 * * [misc]simplify: iters left: 3 (21 enodes) 1546942098.341 * * [misc]simplify: iters left: 2 (22 enodes) 1546942098.343 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942098.343 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546942098.344 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1546942098.344 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546942098.344 * * [misc]simplify: iters left: 5 (7 enodes) 1546942098.345 * * [misc]simplify: iters left: 4 (9 enodes) 1546942098.346 * * [misc]simplify: iters left: 3 (12 enodes) 1546942098.348 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546942098.348 * [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))) 1546942098.348 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1546942098.348 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1546942098.349 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1546942098.349 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1546942098.349 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546942098.349 * * [misc]simplify: iters left: 6 (14 enodes) 1546942098.351 * * [misc]simplify: iters left: 5 (27 enodes) 1546942098.360 * * [misc]simplify: iters left: 4 (55 enodes) 1546942098.384 * * [misc]simplify: iters left: 3 (144 enodes) 1546942098.478 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546942098.478 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546942098.478 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1546942098.479 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546942098.479 * * [misc]simplify: iters left: 6 (14 enodes) 1546942098.483 * * [misc]simplify: iters left: 5 (27 enodes) 1546942098.492 * * [misc]simplify: iters left: 4 (55 enodes) 1546942098.515 * * [misc]simplify: iters left: 3 (144 enodes) 1546942098.592 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546942098.592 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546942098.592 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1546942098.593 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1546942098.593 * * [misc]simplify: iters left: 6 (14 enodes) 1546942098.595 * * [misc]simplify: iters left: 5 (24 enodes) 1546942098.600 * * [misc]simplify: iters left: 4 (43 enodes) 1546942098.607 * * [misc]simplify: iters left: 3 (73 enodes) 1546942098.623 * * [misc]simplify: iters left: 2 (220 enodes) 1546942098.860 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1546942098.860 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1546942098.860 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1546942098.861 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1546942098.861 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1546942098.861 * [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))) 1546942098.861 * * [misc]simplify: iters left: 6 (16 enodes) 1546942098.867 * * [misc]simplify: iters left: 5 (31 enodes) 1546942098.877 * * [misc]simplify: iters left: 4 (67 enodes) 1546942098.898 * * [misc]simplify: iters left: 3 (124 enodes) 1546942098.945 * * [misc]simplify: iters left: 2 (195 enodes) 1546942099.021 * * [misc]simplify: iters left: 1 (309 enodes) 1546942099.197 * [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)))) 1546942099.197 * [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)))))) 1546942099.197 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1546942099.197 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1546942099.197 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1546942099.197 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1546942099.197 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1546942099.197 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942099.197 * * [misc]simplify: iters left: 6 (12 enodes) 1546942099.201 * * [misc]simplify: iters left: 5 (19 enodes) 1546942099.206 * * [misc]simplify: iters left: 4 (25 enodes) 1546942099.213 * * [misc]simplify: iters left: 3 (26 enodes) 1546942099.220 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942099.220 * [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))))) 1546942099.220 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546942099.220 * * [misc]simplify: iters left: 6 (12 enodes) 1546942099.224 * * [misc]simplify: iters left: 5 (18 enodes) 1546942099.226 * * [misc]simplify: iters left: 4 (24 enodes) 1546942099.229 * * [misc]simplify: iters left: 3 (25 enodes) 1546942099.232 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546942099.232 * [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))))) 1546942099.232 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1546942099.232 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546942099.232 * * [misc]simplify: iters left: 6 (11 enodes) 1546942099.234 * * [misc]simplify: iters left: 5 (16 enodes) 1546942099.236 * * [misc]simplify: iters left: 4 (22 enodes) 1546942099.240 * * [misc]simplify: iters left: 3 (24 enodes) 1546942099.243 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546942099.243 * [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))))) 1546942099.243 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546942099.243 * * [misc]simplify: iters left: 6 (12 enodes) 1546942099.245 * * [misc]simplify: iters left: 5 (18 enodes) 1546942099.248 * * [misc]simplify: iters left: 4 (24 enodes) 1546942099.251 * * [misc]simplify: iters left: 3 (25 enodes) 1546942099.254 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546942099.254 * [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))))) 1546942099.254 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1546942099.254 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546942099.254 * * [misc]simplify: iters left: 6 (9 enodes) 1546942099.255 * * [misc]simplify: iters left: 5 (16 enodes) 1546942099.258 * * [misc]simplify: iters left: 4 (24 enodes) 1546942099.261 * * [misc]simplify: iters left: 3 (26 enodes) 1546942099.263 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546942099.263 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546942099.264 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546942099.264 * * [misc]simplify: iters left: 6 (11 enodes) 1546942099.265 * * [misc]simplify: iters left: 5 (17 enodes) 1546942099.268 * * [misc]simplify: iters left: 4 (23 enodes) 1546942099.271 * * [misc]simplify: iters left: 3 (24 enodes) 1546942099.274 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546942099.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546942099.274 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1546942099.274 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942099.274 * * [misc]simplify: iters left: 6 (12 enodes) 1546942099.276 * * [misc]simplify: iters left: 5 (19 enodes) 1546942099.279 * * [misc]simplify: iters left: 4 (25 enodes) 1546942099.285 * * [misc]simplify: iters left: 3 (26 enodes) 1546942099.291 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942099.291 * [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))))) 1546942099.291 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546942099.292 * * [misc]simplify: iters left: 6 (12 enodes) 1546942099.295 * * [misc]simplify: iters left: 5 (18 enodes) 1546942099.301 * * [misc]simplify: iters left: 4 (24 enodes) 1546942099.307 * * [misc]simplify: iters left: 3 (25 enodes) 1546942099.313 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546942099.313 * [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))))) 1546942099.313 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1546942099.314 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546942099.314 * * [misc]simplify: iters left: 6 (11 enodes) 1546942099.317 * * [misc]simplify: iters left: 5 (16 enodes) 1546942099.321 * * [misc]simplify: iters left: 4 (22 enodes) 1546942099.327 * * [misc]simplify: iters left: 3 (24 enodes) 1546942099.334 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546942099.334 * [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))))) 1546942099.334 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546942099.334 * * [misc]simplify: iters left: 6 (12 enodes) 1546942099.338 * * [misc]simplify: iters left: 5 (18 enodes) 1546942099.344 * * [misc]simplify: iters left: 4 (24 enodes) 1546942099.350 * * [misc]simplify: iters left: 3 (25 enodes) 1546942099.356 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546942099.356 * [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))))) 1546942099.356 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1546942099.357 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546942099.357 * * [misc]simplify: iters left: 6 (9 enodes) 1546942099.359 * * [misc]simplify: iters left: 5 (16 enodes) 1546942099.364 * * [misc]simplify: iters left: 4 (24 enodes) 1546942099.370 * * [misc]simplify: iters left: 3 (26 enodes) 1546942099.375 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546942099.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546942099.376 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546942099.376 * * [misc]simplify: iters left: 6 (11 enodes) 1546942099.379 * * [misc]simplify: iters left: 5 (17 enodes) 1546942099.384 * * [misc]simplify: iters left: 4 (23 enodes) 1546942099.390 * * [misc]simplify: iters left: 3 (24 enodes) 1546942099.396 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546942099.396 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546942099.396 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1546942099.396 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942099.397 * * [misc]simplify: iters left: 6 (11 enodes) 1546942099.400 * * [misc]simplify: iters left: 5 (15 enodes) 1546942099.404 * * [misc]simplify: iters left: 4 (18 enodes) 1546942099.409 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942099.410 * [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))))) 1546942099.410 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942099.410 * * [misc]simplify: iters left: 6 (11 enodes) 1546942099.413 * * [misc]simplify: iters left: 5 (14 enodes) 1546942099.417 * * [misc]simplify: iters left: 4 (17 enodes) 1546942099.422 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942099.422 * [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))))) 1546942099.422 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1546942099.422 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942099.422 * * [misc]simplify: iters left: 6 (10 enodes) 1546942099.425 * * [misc]simplify: iters left: 5 (12 enodes) 1546942099.429 * * [misc]simplify: iters left: 4 (15 enodes) 1546942099.433 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942099.433 * [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))))) 1546942099.433 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942099.433 * * [misc]simplify: iters left: 6 (11 enodes) 1546942099.437 * * [misc]simplify: iters left: 5 (14 enodes) 1546942099.441 * * [misc]simplify: iters left: 4 (17 enodes) 1546942099.446 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942099.446 * [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))))) 1546942099.446 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1546942099.446 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1546942099.446 * * [misc]simplify: iters left: 6 (9 enodes) 1546942099.449 * * [misc]simplify: iters left: 5 (13 enodes) 1546942099.454 * * [misc]simplify: iters left: 4 (18 enodes) 1546942099.458 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546942099.458 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942099.459 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546942099.459 * * [misc]simplify: iters left: 6 (10 enodes) 1546942099.462 * * [misc]simplify: iters left: 5 (13 enodes) 1546942099.464 * * [misc]simplify: iters left: 4 (16 enodes) 1546942099.467 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546942099.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942099.467 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1546942099.467 * [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)))) 1546942099.467 * * [misc]simplify: iters left: 6 (16 enodes) 1546942099.469 * * [misc]simplify: iters left: 5 (28 enodes) 1546942099.473 * * [misc]simplify: iters left: 4 (46 enodes) 1546942099.481 * * [misc]simplify: iters left: 3 (50 enodes) 1546942099.487 * * [misc]simplify: iters left: 2 (53 enodes) 1546942099.494 * [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)))) 1546942099.494 * [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))))) 1546942099.494 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942099.494 * * [misc]simplify: iters left: 6 (14 enodes) 1546942099.497 * * [misc]simplify: iters left: 5 (20 enodes) 1546942099.503 * * [misc]simplify: iters left: 4 (29 enodes) 1546942099.510 * * [misc]simplify: iters left: 3 (30 enodes) 1546942099.514 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942099.514 * [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))))) 1546942099.514 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1546942099.515 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546942099.515 * * [misc]simplify: iters left: 6 (15 enodes) 1546942099.517 * * [misc]simplify: iters left: 5 (23 enodes) 1546942099.520 * * [misc]simplify: iters left: 4 (34 enodes) 1546942099.525 * * [misc]simplify: iters left: 3 (37 enodes) 1546942099.529 * [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)))))) 1546942099.529 * [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))))) 1546942099.529 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942099.530 * * [misc]simplify: iters left: 6 (14 enodes) 1546942099.532 * * [misc]simplify: iters left: 5 (20 enodes) 1546942099.534 * * [misc]simplify: iters left: 4 (29 enodes) 1546942099.538 * * [misc]simplify: iters left: 3 (30 enodes) 1546942099.545 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942099.545 * [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))))) 1546942099.545 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1546942099.545 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1546942099.545 * * [misc]simplify: iters left: 6 (14 enodes) 1546942099.550 * * [misc]simplify: iters left: 5 (24 enodes) 1546942099.554 * * [misc]simplify: iters left: 4 (39 enodes) 1546942099.559 * * [misc]simplify: iters left: 3 (54 enodes) 1546942099.567 * * [misc]simplify: iters left: 2 (80 enodes) 1546942099.578 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546942099.578 * [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)))) 1546942099.578 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546942099.578 * * [misc]simplify: iters left: 6 (13 enodes) 1546942099.582 * * [misc]simplify: iters left: 5 (19 enodes) 1546942099.588 * * [misc]simplify: iters left: 4 (28 enodes) 1546942099.596 * * [misc]simplify: iters left: 3 (30 enodes) 1546942099.603 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546942099.603 * [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)))) 1546942099.603 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1546942099.604 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942099.604 * * [misc]simplify: iters left: 6 (15 enodes) 1546942099.608 * * [misc]simplify: iters left: 5 (23 enodes) 1546942099.615 * * [misc]simplify: iters left: 4 (32 enodes) 1546942099.624 * * [misc]simplify: iters left: 3 (34 enodes) 1546942099.632 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942099.632 * [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))))) 1546942099.632 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942099.633 * * [misc]simplify: iters left: 6 (14 enodes) 1546942099.637 * * [misc]simplify: iters left: 5 (20 enodes) 1546942099.643 * * [misc]simplify: iters left: 4 (29 enodes) 1546942099.650 * * [misc]simplify: iters left: 3 (30 enodes) 1546942099.658 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942099.658 * [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))))) 1546942099.658 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1546942099.658 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942099.658 * * [misc]simplify: iters left: 6 (14 enodes) 1546942099.662 * * [misc]simplify: iters left: 5 (20 enodes) 1546942099.668 * * [misc]simplify: iters left: 4 (29 enodes) 1546942099.676 * * [misc]simplify: iters left: 3 (30 enodes) 1546942099.683 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942099.683 * [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))))) 1546942099.684 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942099.684 * * [misc]simplify: iters left: 6 (14 enodes) 1546942099.688 * * [misc]simplify: iters left: 5 (20 enodes) 1546942099.694 * * [misc]simplify: iters left: 4 (29 enodes) 1546942099.703 * * [misc]simplify: iters left: 3 (30 enodes) 1546942099.707 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942099.707 * [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))))) 1546942099.707 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1546942099.707 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1546942099.707 * * [misc]simplify: iters left: 6 (13 enodes) 1546942099.709 * * [misc]simplify: iters left: 5 (21 enodes) 1546942099.712 * * [misc]simplify: iters left: 4 (32 enodes) 1546942099.716 * * [misc]simplify: iters left: 3 (33 enodes) 1546942099.720 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546942099.720 * [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)))) 1546942099.720 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546942099.720 * * [misc]simplify: iters left: 6 (13 enodes) 1546942099.722 * * [misc]simplify: iters left: 5 (19 enodes) 1546942099.725 * * [misc]simplify: iters left: 4 (28 enodes) 1546942099.728 * * [misc]simplify: iters left: 3 (30 enodes) 1546942099.732 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546942099.732 * [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)))) 1546942099.732 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1546942099.732 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942099.733 * * [misc]simplify: iters left: 6 (6 enodes) 1546942099.733 * * [misc]simplify: iters left: 5 (10 enodes) 1546942099.735 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1546942099.735 * [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))))) 1546942099.735 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942099.735 * * [misc]simplify: iters left: 6 (13 enodes) 1546942099.737 * * [misc]simplify: iters left: 5 (19 enodes) 1546942099.740 * * [misc]simplify: iters left: 4 (28 enodes) 1546942099.748 * * [misc]simplify: iters left: 3 (30 enodes) 1546942099.755 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942099.755 * [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))))) 1546942099.755 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1546942099.756 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1546942099.756 * * [misc]simplify: iters left: 4 (5 enodes) 1546942099.757 * * [misc]simplify: iters left: 3 (7 enodes) 1546942099.759 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546942099.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546942099.759 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942099.759 * * [misc]simplify: iters left: 6 (13 enodes) 1546942099.763 * * [misc]simplify: iters left: 5 (19 enodes) 1546942099.768 * * [misc]simplify: iters left: 4 (28 enodes) 1546942099.772 * * [misc]simplify: iters left: 3 (30 enodes) 1546942099.775 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942099.776 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546942099.776 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1546942099.776 * [enter]simplify: Simplifying (/ 1 1) 1546942099.776 * * [misc]simplify: iters left: 2 (2 enodes) 1546942099.776 * * [misc]simplify: iters left: 1 (4 enodes) 1546942099.776 * [exit]simplify: Simplified to 1 1546942099.777 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546942099.777 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546942099.777 * * [misc]simplify: iters left: 6 (12 enodes) 1546942099.778 * * [misc]simplify: iters left: 5 (18 enodes) 1546942099.781 * * [misc]simplify: iters left: 4 (27 enodes) 1546942099.785 * * [misc]simplify: iters left: 3 (29 enodes) 1546942099.789 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546942099.789 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546942099.789 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1546942099.789 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1546942099.789 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1546942099.789 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1546942099.789 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546942099.790 * * [misc]simplify: iters left: 2 (3 enodes) 1546942099.790 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546942099.790 * [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)))) 1546942099.790 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1546942099.790 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546942099.790 * * [misc]simplify: iters left: 2 (3 enodes) 1546942099.791 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546942099.791 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546942099.791 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1546942099.791 * [enter]simplify: Simplifying (sqrt k) 1546942099.791 * * [misc]simplify: iters left: 1 (2 enodes) 1546942099.791 * [exit]simplify: Simplified to (sqrt k) 1546942099.791 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1546942099.791 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1546942099.792 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546942099.792 * * [misc]simplify: iters left: 5 (7 enodes) 1546942099.793 * * [misc]simplify: iters left: 4 (12 enodes) 1546942099.794 * * [misc]simplify: iters left: 3 (18 enodes) 1546942099.798 * * [misc]simplify: iters left: 2 (20 enodes) 1546942099.803 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546942099.803 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546942099.803 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1546942099.803 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546942099.803 * * [misc]simplify: iters left: 5 (7 enodes) 1546942099.806 * * [misc]simplify: iters left: 4 (12 enodes) 1546942099.809 * * [misc]simplify: iters left: 3 (18 enodes) 1546942099.814 * * [misc]simplify: iters left: 2 (20 enodes) 1546942099.819 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546942099.819 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546942099.819 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1546942099.819 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546942099.819 * * [misc]simplify: iters left: 5 (7 enodes) 1546942099.822 * * [misc]simplify: iters left: 4 (9 enodes) 1546942099.824 * * [misc]simplify: iters left: 3 (12 enodes) 1546942099.828 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546942099.828 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546942099.828 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1546942099.828 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942099.828 * * [misc]simplify: iters left: 6 (12 enodes) 1546942099.830 * * [misc]simplify: iters left: 5 (18 enodes) 1546942099.832 * * [misc]simplify: iters left: 4 (27 enodes) 1546942099.836 * * [misc]simplify: iters left: 3 (29 enodes) 1546942099.840 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942099.840 * [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))))))) 1546942099.840 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1546942099.840 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546942099.840 * * [misc]simplify: iters left: 6 (11 enodes) 1546942099.842 * * [misc]simplify: iters left: 5 (17 enodes) 1546942099.844 * * [misc]simplify: iters left: 4 (26 enodes) 1546942099.848 * * [misc]simplify: iters left: 3 (27 enodes) 1546942099.851 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546942099.851 * [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))))))) 1546942099.851 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1546942099.851 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1546942099.851 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546942099.851 * * [misc]simplify: iters left: 5 (7 enodes) 1546942099.852 * * [misc]simplify: iters left: 4 (12 enodes) 1546942099.854 * * [misc]simplify: iters left: 3 (18 enodes) 1546942099.856 * * [misc]simplify: iters left: 2 (20 enodes) 1546942099.858 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546942099.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1546942099.859 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1546942099.859 * [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))))) 1546942099.859 * * [misc]simplify: iters left: 6 (37 enodes) 1546942099.867 * * [misc]simplify: iters left: 5 (108 enodes) 1546942099.893 * * [misc]simplify: iters left: 4 (368 enodes) 1546942100.126 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546942100.127 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1546942100.127 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1546942100.127 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546942100.127 * * [misc]simplify: iters left: 6 (15 enodes) 1546942100.130 * * [misc]simplify: iters left: 5 (33 enodes) 1546942100.136 * * [misc]simplify: iters left: 4 (64 enodes) 1546942100.148 * * [misc]simplify: iters left: 3 (179 enodes) 1546942100.242 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546942100.242 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546942100.243 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1546942100.243 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546942100.243 * * [misc]simplify: iters left: 6 (15 enodes) 1546942100.246 * * [misc]simplify: iters left: 5 (30 enodes) 1546942100.252 * * [misc]simplify: iters left: 4 (65 enodes) 1546942100.265 * * [misc]simplify: iters left: 3 (208 enodes) 1546942100.351 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546942100.351 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1546942100.352 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1546942100.352 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546942100.352 * * [misc]simplify: iters left: 4 (5 enodes) 1546942100.353 * * [misc]simplify: iters left: 3 (9 enodes) 1546942100.354 * * [misc]simplify: iters left: 2 (15 enodes) 1546942100.356 * * [misc]simplify: iters left: 1 (17 enodes) 1546942100.358 * [exit]simplify: Simplified to (* (* PI n) 2) 1546942100.358 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942100.358 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1546942100.358 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546942100.358 * * [misc]simplify: iters left: 4 (5 enodes) 1546942100.359 * * [misc]simplify: iters left: 3 (9 enodes) 1546942100.360 * * [misc]simplify: iters left: 2 (15 enodes) 1546942100.362 * * [misc]simplify: iters left: 1 (17 enodes) 1546942100.364 * [exit]simplify: Simplified to (* (* PI n) 2) 1546942100.364 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942100.364 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1546942100.364 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546942100.364 * * [misc]simplify: iters left: 4 (5 enodes) 1546942100.365 * * [misc]simplify: iters left: 3 (9 enodes) 1546942100.367 * * [misc]simplify: iters left: 2 (15 enodes) 1546942100.369 * * [misc]simplify: iters left: 1 (17 enodes) 1546942100.373 * [exit]simplify: Simplified to (* (* PI n) 2) 1546942100.373 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942100.373 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1546942100.373 * [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)))))))))))))))))))))) 1546942100.373 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546942100.373 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1546942100.373 * [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)))))))) 1546942100.373 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546942100.373 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1546942100.374 * [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))))))))))) 1546942100.374 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546942100.374 * * * [misc]progress: adding candidates to table 1546942101.186 * * [misc]progress: iteration 2 / 4 1546942101.186 * * * [misc]progress: picking best candidate 1546942101.232 * * * * [misc]pick: Picked # 1546942101.232 * * * [misc]progress: localizing error 1546942101.249 * * * [misc]progress: generating rewritten candidates 1546942101.249 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) 1546942101.253 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) 1546942101.256 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1546942101.277 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1) 1546942101.280 * * * [misc]progress: generating series expansions 1546942101.280 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) 1546942101.280 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546942101.281 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546942101.281 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546942101.281 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546942101.281 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546942101.281 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942101.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.281 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942101.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.281 * [misc]taylor: Taking taylor expansion of k in k 1546942101.281 * [misc]backup-simplify: Simplify 0 into 0 1546942101.281 * [misc]backup-simplify: Simplify 1 into 1 1546942101.281 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546942101.281 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546942101.281 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.281 * [misc]backup-simplify: Simplify 2 into 2 1546942101.281 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546942101.281 * [misc]taylor: Taking taylor expansion of n in k 1546942101.281 * [misc]backup-simplify: Simplify n into n 1546942101.281 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.281 * [misc]backup-simplify: Simplify PI into PI 1546942101.281 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546942101.281 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546942101.281 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546942101.282 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942101.282 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.282 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.282 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546942101.282 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546942101.282 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942101.282 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942101.282 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942101.282 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942101.282 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.282 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.282 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942101.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.283 * [misc]taylor: Taking taylor expansion of k in n 1546942101.283 * [misc]backup-simplify: Simplify k into k 1546942101.283 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942101.283 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942101.283 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.283 * [misc]backup-simplify: Simplify 2 into 2 1546942101.283 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942101.283 * [misc]taylor: Taking taylor expansion of n in n 1546942101.283 * [misc]backup-simplify: Simplify 0 into 0 1546942101.283 * [misc]backup-simplify: Simplify 1 into 1 1546942101.283 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.283 * [misc]backup-simplify: Simplify PI into PI 1546942101.283 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942101.283 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942101.284 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942101.285 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942101.285 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.285 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942101.285 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942101.285 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942101.286 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.287 * [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)))) 1546942101.287 * [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))))) 1546942101.287 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942101.287 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942101.287 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942101.288 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942101.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.288 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942101.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.288 * [misc]taylor: Taking taylor expansion of k in n 1546942101.288 * [misc]backup-simplify: Simplify k into k 1546942101.288 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942101.288 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942101.288 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.288 * [misc]backup-simplify: Simplify 2 into 2 1546942101.288 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942101.288 * [misc]taylor: Taking taylor expansion of n in n 1546942101.288 * [misc]backup-simplify: Simplify 0 into 0 1546942101.288 * [misc]backup-simplify: Simplify 1 into 1 1546942101.288 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.288 * [misc]backup-simplify: Simplify PI into PI 1546942101.288 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942101.288 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942101.289 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942101.290 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942101.290 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.290 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942101.290 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942101.290 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942101.291 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.292 * [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)))) 1546942101.292 * [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))))) 1546942101.292 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546942101.292 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546942101.292 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942101.292 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.292 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942101.292 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.293 * [misc]taylor: Taking taylor expansion of k in k 1546942101.293 * [misc]backup-simplify: Simplify 0 into 0 1546942101.293 * [misc]backup-simplify: Simplify 1 into 1 1546942101.293 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546942101.293 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942101.293 * [misc]taylor: Taking taylor expansion of n in k 1546942101.293 * [misc]backup-simplify: Simplify n into n 1546942101.293 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942101.293 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942101.293 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942101.293 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.293 * [misc]backup-simplify: Simplify 2 into 2 1546942101.293 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.293 * [misc]backup-simplify: Simplify PI into PI 1546942101.293 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.294 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.294 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942101.294 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.294 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.295 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.295 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546942101.296 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942101.296 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942101.297 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942101.298 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942101.301 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942101.301 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942101.301 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.302 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.302 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.303 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546942101.305 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942101.305 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.305 * [misc]backup-simplify: Simplify 0 into 0 1546942101.305 * [misc]backup-simplify: Simplify 0 into 0 1546942101.305 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942101.306 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942101.309 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942101.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.309 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942101.309 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942101.309 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942101.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546942101.312 * [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))))))) 1546942101.312 * [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))))))) 1546942101.313 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.314 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942101.317 * [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 1546942101.317 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942101.317 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.318 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.318 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942101.320 * [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 1546942101.320 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.320 * [misc]backup-simplify: Simplify 0 into 0 1546942101.320 * [misc]backup-simplify: Simplify 0 into 0 1546942101.320 * [misc]backup-simplify: Simplify 0 into 0 1546942101.321 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942101.322 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.325 * [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 1546942101.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.325 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942101.325 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.326 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942101.330 * [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))))) 1546942101.331 * [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))))) 1546942101.334 * [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))))) 1546942101.335 * [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)))) 1546942101.335 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546942101.335 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942101.335 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546942101.335 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546942101.335 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942101.335 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.335 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.335 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.335 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.335 * [misc]taylor: Taking taylor expansion of k in k 1546942101.335 * [misc]backup-simplify: Simplify 0 into 0 1546942101.335 * [misc]backup-simplify: Simplify 1 into 1 1546942101.335 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.335 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546942101.335 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546942101.335 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.335 * [misc]backup-simplify: Simplify 2 into 2 1546942101.335 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942101.335 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.335 * [misc]backup-simplify: Simplify PI into PI 1546942101.335 * [misc]taylor: Taking taylor expansion of n in k 1546942101.335 * [misc]backup-simplify: Simplify n into n 1546942101.335 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942101.335 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546942101.335 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546942101.335 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.335 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942101.336 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942101.336 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546942101.336 * [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)))) 1546942101.336 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942101.336 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942101.336 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942101.336 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942101.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.336 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.336 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.336 * [misc]taylor: Taking taylor expansion of k in n 1546942101.336 * [misc]backup-simplify: Simplify k into k 1546942101.336 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.336 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942101.336 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942101.336 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.336 * [misc]backup-simplify: Simplify 2 into 2 1546942101.336 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.336 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.336 * [misc]backup-simplify: Simplify PI into PI 1546942101.336 * [misc]taylor: Taking taylor expansion of n in n 1546942101.336 * [misc]backup-simplify: Simplify 0 into 0 1546942101.336 * [misc]backup-simplify: Simplify 1 into 1 1546942101.336 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.337 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.337 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.337 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.337 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942101.337 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942101.338 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.338 * [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))) 1546942101.338 * [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)))) 1546942101.338 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942101.338 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942101.338 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942101.338 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942101.338 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.338 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.338 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.338 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.338 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.339 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.339 * [misc]taylor: Taking taylor expansion of k in n 1546942101.339 * [misc]backup-simplify: Simplify k into k 1546942101.339 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.339 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942101.339 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942101.339 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.339 * [misc]backup-simplify: Simplify 2 into 2 1546942101.339 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.339 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.339 * [misc]backup-simplify: Simplify PI into PI 1546942101.339 * [misc]taylor: Taking taylor expansion of n in n 1546942101.339 * [misc]backup-simplify: Simplify 0 into 0 1546942101.339 * [misc]backup-simplify: Simplify 1 into 1 1546942101.339 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.339 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.339 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.339 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.339 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942101.340 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942101.340 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.340 * [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))) 1546942101.341 * [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)))) 1546942101.341 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546942101.341 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546942101.341 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942101.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.341 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.341 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.341 * [misc]taylor: Taking taylor expansion of k in k 1546942101.341 * [misc]backup-simplify: Simplify 0 into 0 1546942101.341 * [misc]backup-simplify: Simplify 1 into 1 1546942101.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.341 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546942101.341 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942101.341 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942101.341 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.341 * [misc]backup-simplify: Simplify 2 into 2 1546942101.341 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.341 * [misc]backup-simplify: Simplify PI into PI 1546942101.341 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.342 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.342 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942101.342 * [misc]taylor: Taking taylor expansion of n in k 1546942101.342 * [misc]backup-simplify: Simplify n into n 1546942101.342 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942101.342 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.342 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942101.342 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942101.342 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942101.342 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546942101.343 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546942101.343 * [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)))) 1546942101.344 * [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)))) 1546942101.344 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942101.345 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942101.346 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942101.346 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942101.347 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942101.347 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.347 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.347 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.348 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546942101.349 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942101.349 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.349 * [misc]backup-simplify: Simplify 0 into 0 1546942101.349 * [misc]backup-simplify: Simplify 0 into 0 1546942101.349 * [misc]backup-simplify: Simplify 0 into 0 1546942101.349 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.350 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.353 * [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 1546942101.353 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.353 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942101.353 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.353 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.354 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.354 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546942101.356 * [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 1546942101.356 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.356 * [misc]backup-simplify: Simplify 0 into 0 1546942101.356 * [misc]backup-simplify: Simplify 0 into 0 1546942101.356 * [misc]backup-simplify: Simplify 0 into 0 1546942101.356 * [misc]backup-simplify: Simplify 0 into 0 1546942101.357 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.358 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.362 * [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 1546942101.362 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.362 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942101.362 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.363 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.364 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546942101.366 * [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 1546942101.366 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.366 * [misc]backup-simplify: Simplify 0 into 0 1546942101.366 * [misc]backup-simplify: Simplify 0 into 0 1546942101.366 * [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))))) 1546942101.366 * [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)) 1546942101.366 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546942101.366 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942101.366 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546942101.366 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546942101.366 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942101.366 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.366 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.367 * [misc]taylor: Taking taylor expansion of k in k 1546942101.367 * [misc]backup-simplify: Simplify 0 into 0 1546942101.367 * [misc]backup-simplify: Simplify 1 into 1 1546942101.367 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.367 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546942101.367 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546942101.367 * [misc]taylor: Taking taylor expansion of -2 in k 1546942101.367 * [misc]backup-simplify: Simplify -2 into -2 1546942101.367 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942101.367 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.367 * [misc]backup-simplify: Simplify PI into PI 1546942101.367 * [misc]taylor: Taking taylor expansion of n in k 1546942101.367 * [misc]backup-simplify: Simplify n into n 1546942101.367 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942101.367 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546942101.367 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546942101.367 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.367 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.367 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546942101.367 * [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))) 1546942101.367 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942101.367 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942101.368 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942101.368 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942101.368 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.368 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.368 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.368 * [misc]taylor: Taking taylor expansion of k in n 1546942101.368 * [misc]backup-simplify: Simplify k into k 1546942101.368 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.368 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.368 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942101.368 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942101.368 * [misc]taylor: Taking taylor expansion of -2 in n 1546942101.368 * [misc]backup-simplify: Simplify -2 into -2 1546942101.368 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.368 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.368 * [misc]backup-simplify: Simplify PI into PI 1546942101.368 * [misc]taylor: Taking taylor expansion of n in n 1546942101.368 * [misc]backup-simplify: Simplify 0 into 0 1546942101.368 * [misc]backup-simplify: Simplify 1 into 1 1546942101.368 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.368 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.369 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942101.369 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.369 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942101.369 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.369 * [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))) 1546942101.370 * [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)))) 1546942101.370 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942101.370 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942101.370 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942101.370 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942101.370 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.370 * [misc]taylor: Taking taylor expansion of k in n 1546942101.370 * [misc]backup-simplify: Simplify k into k 1546942101.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.370 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942101.370 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942101.370 * [misc]taylor: Taking taylor expansion of -2 in n 1546942101.370 * [misc]backup-simplify: Simplify -2 into -2 1546942101.370 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.370 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.370 * [misc]backup-simplify: Simplify PI into PI 1546942101.370 * [misc]taylor: Taking taylor expansion of n in n 1546942101.370 * [misc]backup-simplify: Simplify 0 into 0 1546942101.370 * [misc]backup-simplify: Simplify 1 into 1 1546942101.370 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.371 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.371 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942101.371 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.371 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942101.372 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.372 * [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))) 1546942101.373 * [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)))) 1546942101.373 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546942101.373 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546942101.373 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942101.373 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.373 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.373 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.373 * [misc]taylor: Taking taylor expansion of k in k 1546942101.373 * [misc]backup-simplify: Simplify 0 into 0 1546942101.373 * [misc]backup-simplify: Simplify 1 into 1 1546942101.373 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.373 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.373 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546942101.373 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546942101.374 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546942101.374 * [misc]taylor: Taking taylor expansion of -2 in k 1546942101.374 * [misc]backup-simplify: Simplify -2 into -2 1546942101.374 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.374 * [misc]backup-simplify: Simplify PI into PI 1546942101.374 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.375 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942101.375 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942101.375 * [misc]taylor: Taking taylor expansion of n in k 1546942101.375 * [misc]backup-simplify: Simplify n into n 1546942101.375 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942101.375 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.375 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.375 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942101.376 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546942101.376 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546942101.377 * [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)))) 1546942101.378 * [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)))) 1546942101.379 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942101.379 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942101.382 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546942101.382 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942101.382 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942101.382 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.383 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.384 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546942101.385 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942101.385 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.385 * [misc]backup-simplify: Simplify 0 into 0 1546942101.385 * [misc]backup-simplify: Simplify 0 into 0 1546942101.385 * [misc]backup-simplify: Simplify 0 into 0 1546942101.387 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.388 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.392 * [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 1546942101.393 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942101.393 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.394 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.394 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546942101.397 * [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 1546942101.397 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.397 * [misc]backup-simplify: Simplify 0 into 0 1546942101.397 * [misc]backup-simplify: Simplify 0 into 0 1546942101.397 * [misc]backup-simplify: Simplify 0 into 0 1546942101.397 * [misc]backup-simplify: Simplify 0 into 0 1546942101.399 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.400 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.408 * [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 1546942101.408 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.408 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942101.408 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.409 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.410 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546942101.413 * [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 1546942101.413 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.413 * [misc]backup-simplify: Simplify 0 into 0 1546942101.413 * [misc]backup-simplify: Simplify 0 into 0 1546942101.413 * [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))))) 1546942101.413 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) 1546942101.413 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546942101.413 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546942101.413 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546942101.413 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546942101.413 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546942101.413 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942101.413 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.413 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942101.413 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.413 * [misc]taylor: Taking taylor expansion of k in k 1546942101.413 * [misc]backup-simplify: Simplify 0 into 0 1546942101.413 * [misc]backup-simplify: Simplify 1 into 1 1546942101.413 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546942101.414 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546942101.414 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.414 * [misc]backup-simplify: Simplify 2 into 2 1546942101.414 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546942101.414 * [misc]taylor: Taking taylor expansion of n in k 1546942101.414 * [misc]backup-simplify: Simplify n into n 1546942101.414 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.414 * [misc]backup-simplify: Simplify PI into PI 1546942101.414 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546942101.414 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546942101.414 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546942101.414 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942101.414 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.414 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.414 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546942101.414 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546942101.414 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942101.414 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942101.414 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942101.414 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942101.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.414 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942101.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.414 * [misc]taylor: Taking taylor expansion of k in n 1546942101.414 * [misc]backup-simplify: Simplify k into k 1546942101.414 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942101.414 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942101.414 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.414 * [misc]backup-simplify: Simplify 2 into 2 1546942101.415 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942101.415 * [misc]taylor: Taking taylor expansion of n in n 1546942101.415 * [misc]backup-simplify: Simplify 0 into 0 1546942101.415 * [misc]backup-simplify: Simplify 1 into 1 1546942101.415 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.415 * [misc]backup-simplify: Simplify PI into PI 1546942101.415 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942101.415 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942101.415 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942101.416 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942101.416 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.416 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942101.416 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942101.416 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942101.417 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.417 * [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)))) 1546942101.417 * [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))))) 1546942101.418 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942101.418 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942101.418 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942101.418 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942101.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.418 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942101.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.418 * [misc]taylor: Taking taylor expansion of k in n 1546942101.418 * [misc]backup-simplify: Simplify k into k 1546942101.418 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942101.418 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942101.418 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.418 * [misc]backup-simplify: Simplify 2 into 2 1546942101.418 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942101.418 * [misc]taylor: Taking taylor expansion of n in n 1546942101.418 * [misc]backup-simplify: Simplify 0 into 0 1546942101.418 * [misc]backup-simplify: Simplify 1 into 1 1546942101.418 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.418 * [misc]backup-simplify: Simplify PI into PI 1546942101.418 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942101.418 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942101.418 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942101.419 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942101.419 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.419 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942101.419 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942101.419 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942101.420 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.420 * [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)))) 1546942101.420 * [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))))) 1546942101.421 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546942101.421 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546942101.421 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942101.421 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.421 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942101.421 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.421 * [misc]taylor: Taking taylor expansion of k in k 1546942101.421 * [misc]backup-simplify: Simplify 0 into 0 1546942101.421 * [misc]backup-simplify: Simplify 1 into 1 1546942101.421 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546942101.421 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942101.421 * [misc]taylor: Taking taylor expansion of n in k 1546942101.421 * [misc]backup-simplify: Simplify n into n 1546942101.421 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942101.421 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942101.421 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942101.421 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.421 * [misc]backup-simplify: Simplify 2 into 2 1546942101.421 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.421 * [misc]backup-simplify: Simplify PI into PI 1546942101.421 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.421 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.421 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942101.422 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.422 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.422 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.422 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546942101.423 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942101.423 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942101.424 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942101.424 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942101.426 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942101.426 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942101.426 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.426 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.427 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.427 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546942101.428 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942101.428 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.428 * [misc]backup-simplify: Simplify 0 into 0 1546942101.428 * [misc]backup-simplify: Simplify 0 into 0 1546942101.429 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942101.429 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942101.431 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942101.431 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.431 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942101.431 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942101.431 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942101.432 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546942101.432 * [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))))))) 1546942101.433 * [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))))))) 1546942101.434 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.435 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942101.438 * [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 1546942101.438 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942101.438 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.438 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.439 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.439 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942101.441 * [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 1546942101.441 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.441 * [misc]backup-simplify: Simplify 0 into 0 1546942101.441 * [misc]backup-simplify: Simplify 0 into 0 1546942101.441 * [misc]backup-simplify: Simplify 0 into 0 1546942101.443 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942101.444 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.450 * [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 1546942101.450 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942101.451 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.452 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942101.454 * [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))))) 1546942101.456 * [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))))) 1546942101.461 * [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))))) 1546942101.461 * [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)))) 1546942101.461 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546942101.461 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942101.461 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546942101.461 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546942101.462 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942101.462 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.462 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.462 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.462 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.462 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.462 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.462 * [misc]taylor: Taking taylor expansion of k in k 1546942101.462 * [misc]backup-simplify: Simplify 0 into 0 1546942101.462 * [misc]backup-simplify: Simplify 1 into 1 1546942101.462 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.462 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546942101.462 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546942101.462 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.462 * [misc]backup-simplify: Simplify 2 into 2 1546942101.462 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942101.462 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.462 * [misc]backup-simplify: Simplify PI into PI 1546942101.462 * [misc]taylor: Taking taylor expansion of n in k 1546942101.462 * [misc]backup-simplify: Simplify n into n 1546942101.462 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942101.462 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546942101.462 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546942101.463 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.463 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942101.463 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942101.463 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546942101.463 * [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)))) 1546942101.463 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942101.463 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942101.463 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942101.463 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942101.463 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.463 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.464 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.464 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.464 * [misc]taylor: Taking taylor expansion of k in n 1546942101.464 * [misc]backup-simplify: Simplify k into k 1546942101.464 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.464 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942101.464 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942101.464 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.464 * [misc]backup-simplify: Simplify 2 into 2 1546942101.464 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.464 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.464 * [misc]backup-simplify: Simplify PI into PI 1546942101.464 * [misc]taylor: Taking taylor expansion of n in n 1546942101.464 * [misc]backup-simplify: Simplify 0 into 0 1546942101.464 * [misc]backup-simplify: Simplify 1 into 1 1546942101.464 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.465 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.465 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.465 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.465 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942101.465 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942101.466 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.467 * [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))) 1546942101.467 * [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)))) 1546942101.467 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942101.467 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942101.467 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942101.467 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942101.467 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.467 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.467 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.468 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.468 * [misc]taylor: Taking taylor expansion of k in n 1546942101.468 * [misc]backup-simplify: Simplify k into k 1546942101.468 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.468 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942101.468 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942101.468 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.468 * [misc]backup-simplify: Simplify 2 into 2 1546942101.468 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.468 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.468 * [misc]backup-simplify: Simplify PI into PI 1546942101.468 * [misc]taylor: Taking taylor expansion of n in n 1546942101.468 * [misc]backup-simplify: Simplify 0 into 0 1546942101.468 * [misc]backup-simplify: Simplify 1 into 1 1546942101.468 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.468 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.469 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.469 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.469 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942101.469 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942101.470 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.470 * [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))) 1546942101.471 * [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)))) 1546942101.471 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546942101.471 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546942101.471 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942101.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.471 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.471 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.471 * [misc]taylor: Taking taylor expansion of k in k 1546942101.471 * [misc]backup-simplify: Simplify 0 into 0 1546942101.471 * [misc]backup-simplify: Simplify 1 into 1 1546942101.472 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.472 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546942101.472 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942101.472 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942101.472 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.472 * [misc]backup-simplify: Simplify 2 into 2 1546942101.472 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.472 * [misc]backup-simplify: Simplify PI into PI 1546942101.472 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.472 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.472 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942101.473 * [misc]taylor: Taking taylor expansion of n in k 1546942101.473 * [misc]backup-simplify: Simplify n into n 1546942101.473 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942101.473 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.473 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942101.473 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942101.473 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942101.474 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546942101.474 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546942101.475 * [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)))) 1546942101.475 * [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)))) 1546942101.477 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942101.477 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942101.480 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942101.480 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942101.480 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942101.480 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.480 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.481 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.482 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546942101.484 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942101.484 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.484 * [misc]backup-simplify: Simplify 0 into 0 1546942101.484 * [misc]backup-simplify: Simplify 0 into 0 1546942101.484 * [misc]backup-simplify: Simplify 0 into 0 1546942101.486 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.487 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.491 * [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 1546942101.492 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.492 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942101.492 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.492 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.493 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.494 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546942101.496 * [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 1546942101.496 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.496 * [misc]backup-simplify: Simplify 0 into 0 1546942101.496 * [misc]backup-simplify: Simplify 0 into 0 1546942101.496 * [misc]backup-simplify: Simplify 0 into 0 1546942101.496 * [misc]backup-simplify: Simplify 0 into 0 1546942101.497 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.499 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.507 * [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 1546942101.507 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.507 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942101.508 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.508 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.509 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546942101.513 * [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 1546942101.513 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.513 * [misc]backup-simplify: Simplify 0 into 0 1546942101.513 * [misc]backup-simplify: Simplify 0 into 0 1546942101.514 * [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))))) 1546942101.514 * [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)) 1546942101.514 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546942101.514 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942101.514 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546942101.514 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546942101.514 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942101.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.515 * [misc]taylor: Taking taylor expansion of k in k 1546942101.515 * [misc]backup-simplify: Simplify 0 into 0 1546942101.515 * [misc]backup-simplify: Simplify 1 into 1 1546942101.515 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.515 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546942101.515 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546942101.515 * [misc]taylor: Taking taylor expansion of -2 in k 1546942101.515 * [misc]backup-simplify: Simplify -2 into -2 1546942101.515 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942101.515 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.515 * [misc]backup-simplify: Simplify PI into PI 1546942101.515 * [misc]taylor: Taking taylor expansion of n in k 1546942101.515 * [misc]backup-simplify: Simplify n into n 1546942101.515 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942101.515 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546942101.515 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546942101.516 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.516 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.516 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546942101.516 * [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))) 1546942101.516 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942101.516 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942101.516 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942101.516 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942101.516 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.516 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.516 * [misc]taylor: Taking taylor expansion of k in n 1546942101.516 * [misc]backup-simplify: Simplify k into k 1546942101.517 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.517 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942101.517 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942101.517 * [misc]taylor: Taking taylor expansion of -2 in n 1546942101.517 * [misc]backup-simplify: Simplify -2 into -2 1546942101.517 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.517 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.517 * [misc]backup-simplify: Simplify PI into PI 1546942101.517 * [misc]taylor: Taking taylor expansion of n in n 1546942101.517 * [misc]backup-simplify: Simplify 0 into 0 1546942101.517 * [misc]backup-simplify: Simplify 1 into 1 1546942101.517 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.518 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.518 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942101.518 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.518 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942101.519 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.520 * [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))) 1546942101.520 * [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)))) 1546942101.520 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942101.520 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942101.520 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942101.520 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942101.520 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.520 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.521 * [misc]taylor: Taking taylor expansion of k in n 1546942101.521 * [misc]backup-simplify: Simplify k into k 1546942101.521 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.521 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942101.521 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942101.521 * [misc]taylor: Taking taylor expansion of -2 in n 1546942101.521 * [misc]backup-simplify: Simplify -2 into -2 1546942101.521 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.521 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.521 * [misc]backup-simplify: Simplify PI into PI 1546942101.521 * [misc]taylor: Taking taylor expansion of n in n 1546942101.521 * [misc]backup-simplify: Simplify 0 into 0 1546942101.521 * [misc]backup-simplify: Simplify 1 into 1 1546942101.521 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.521 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.522 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942101.522 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.522 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942101.523 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.523 * [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))) 1546942101.524 * [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)))) 1546942101.524 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546942101.524 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546942101.524 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942101.524 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.524 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.524 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.524 * [misc]taylor: Taking taylor expansion of k in k 1546942101.524 * [misc]backup-simplify: Simplify 0 into 0 1546942101.524 * [misc]backup-simplify: Simplify 1 into 1 1546942101.525 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.525 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546942101.525 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546942101.525 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546942101.525 * [misc]taylor: Taking taylor expansion of -2 in k 1546942101.525 * [misc]backup-simplify: Simplify -2 into -2 1546942101.525 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.525 * [misc]backup-simplify: Simplify PI into PI 1546942101.525 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.525 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942101.525 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942101.526 * [misc]taylor: Taking taylor expansion of n in k 1546942101.526 * [misc]backup-simplify: Simplify n into n 1546942101.526 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942101.526 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.526 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.526 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942101.527 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546942101.527 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546942101.528 * [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)))) 1546942101.528 * [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)))) 1546942101.530 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942101.530 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942101.532 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546942101.532 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942101.532 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942101.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.533 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546942101.534 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942101.534 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.534 * [misc]backup-simplify: Simplify 0 into 0 1546942101.534 * [misc]backup-simplify: Simplify 0 into 0 1546942101.534 * [misc]backup-simplify: Simplify 0 into 0 1546942101.535 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.536 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.539 * [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 1546942101.539 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.539 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942101.539 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.540 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546942101.541 * [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 1546942101.541 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.541 * [misc]backup-simplify: Simplify 0 into 0 1546942101.542 * [misc]backup-simplify: Simplify 0 into 0 1546942101.542 * [misc]backup-simplify: Simplify 0 into 0 1546942101.542 * [misc]backup-simplify: Simplify 0 into 0 1546942101.543 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.543 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.548 * [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 1546942101.548 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.548 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942101.548 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.549 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.549 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546942101.551 * [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 1546942101.551 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.551 * [misc]backup-simplify: Simplify 0 into 0 1546942101.551 * [misc]backup-simplify: Simplify 0 into 0 1546942101.552 * [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))))) 1546942101.552 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1546942101.552 * [misc]backup-simplify: Simplify (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546942101.552 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546942101.552 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546942101.552 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546942101.552 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546942101.552 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942101.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.552 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942101.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.553 * [misc]taylor: Taking taylor expansion of k in k 1546942101.553 * [misc]backup-simplify: Simplify 0 into 0 1546942101.553 * [misc]backup-simplify: Simplify 1 into 1 1546942101.553 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546942101.553 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546942101.553 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.553 * [misc]backup-simplify: Simplify 2 into 2 1546942101.553 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546942101.553 * [misc]taylor: Taking taylor expansion of n in k 1546942101.553 * [misc]backup-simplify: Simplify n into n 1546942101.553 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.553 * [misc]backup-simplify: Simplify PI into PI 1546942101.553 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546942101.553 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546942101.553 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546942101.553 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942101.553 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.553 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.553 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546942101.553 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546942101.553 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942101.553 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942101.553 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942101.553 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942101.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.553 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942101.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.553 * [misc]taylor: Taking taylor expansion of k in n 1546942101.553 * [misc]backup-simplify: Simplify k into k 1546942101.554 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942101.554 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942101.554 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.554 * [misc]backup-simplify: Simplify 2 into 2 1546942101.554 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942101.554 * [misc]taylor: Taking taylor expansion of n in n 1546942101.554 * [misc]backup-simplify: Simplify 0 into 0 1546942101.554 * [misc]backup-simplify: Simplify 1 into 1 1546942101.554 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.554 * [misc]backup-simplify: Simplify PI into PI 1546942101.554 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942101.554 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942101.554 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942101.555 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942101.555 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.555 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942101.555 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942101.555 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942101.556 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.556 * [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)))) 1546942101.556 * [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))))) 1546942101.556 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942101.556 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942101.556 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942101.556 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942101.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.556 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942101.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.557 * [misc]taylor: Taking taylor expansion of k in n 1546942101.557 * [misc]backup-simplify: Simplify k into k 1546942101.557 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942101.557 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942101.557 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.557 * [misc]backup-simplify: Simplify 2 into 2 1546942101.557 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942101.557 * [misc]taylor: Taking taylor expansion of n in n 1546942101.557 * [misc]backup-simplify: Simplify 0 into 0 1546942101.557 * [misc]backup-simplify: Simplify 1 into 1 1546942101.557 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.557 * [misc]backup-simplify: Simplify PI into PI 1546942101.557 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942101.557 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942101.557 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942101.558 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942101.558 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.558 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942101.558 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942101.558 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942101.559 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.559 * [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)))) 1546942101.559 * [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))))) 1546942101.559 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546942101.559 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546942101.559 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942101.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.559 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942101.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.560 * [misc]taylor: Taking taylor expansion of k in k 1546942101.560 * [misc]backup-simplify: Simplify 0 into 0 1546942101.560 * [misc]backup-simplify: Simplify 1 into 1 1546942101.560 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546942101.560 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942101.560 * [misc]taylor: Taking taylor expansion of n in k 1546942101.560 * [misc]backup-simplify: Simplify n into n 1546942101.560 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942101.560 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942101.560 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942101.560 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.560 * [misc]backup-simplify: Simplify 2 into 2 1546942101.560 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.560 * [misc]backup-simplify: Simplify PI into PI 1546942101.560 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.560 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.560 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942101.560 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.561 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.561 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.561 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546942101.562 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942101.562 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942101.563 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942101.563 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942101.565 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942101.565 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942101.565 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.565 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.565 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.566 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546942101.567 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942101.567 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.567 * [misc]backup-simplify: Simplify 0 into 0 1546942101.567 * [misc]backup-simplify: Simplify 0 into 0 1546942101.567 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942101.568 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942101.569 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942101.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.570 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942101.570 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942101.570 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942101.570 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546942101.571 * [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))))))) 1546942101.572 * [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))))))) 1546942101.573 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.574 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942101.577 * [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 1546942101.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942101.578 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.578 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.579 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942101.579 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942101.582 * [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 1546942101.583 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.583 * [misc]backup-simplify: Simplify 0 into 0 1546942101.583 * [misc]backup-simplify: Simplify 0 into 0 1546942101.583 * [misc]backup-simplify: Simplify 0 into 0 1546942101.584 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942101.585 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.590 * [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 1546942101.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.591 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942101.591 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.592 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942101.595 * [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))))) 1546942101.597 * [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))))) 1546942101.602 * [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))))) 1546942101.603 * [misc]backup-simplify: Simplify (* (sqrt (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) (sqrt (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1546942101.603 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546942101.603 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942101.603 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546942101.603 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546942101.603 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942101.603 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.603 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.603 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.603 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.603 * [misc]taylor: Taking taylor expansion of k in k 1546942101.603 * [misc]backup-simplify: Simplify 0 into 0 1546942101.603 * [misc]backup-simplify: Simplify 1 into 1 1546942101.603 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.603 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546942101.603 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546942101.603 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.603 * [misc]backup-simplify: Simplify 2 into 2 1546942101.603 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942101.603 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.603 * [misc]backup-simplify: Simplify PI into PI 1546942101.604 * [misc]taylor: Taking taylor expansion of n in k 1546942101.604 * [misc]backup-simplify: Simplify n into n 1546942101.604 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942101.604 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546942101.604 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546942101.604 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.604 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942101.604 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942101.604 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546942101.605 * [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)))) 1546942101.605 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942101.605 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942101.605 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942101.605 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942101.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.605 * [misc]taylor: Taking taylor expansion of k in n 1546942101.605 * [misc]backup-simplify: Simplify k into k 1546942101.605 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.605 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942101.605 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942101.605 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.605 * [misc]backup-simplify: Simplify 2 into 2 1546942101.605 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.605 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.605 * [misc]backup-simplify: Simplify PI into PI 1546942101.605 * [misc]taylor: Taking taylor expansion of n in n 1546942101.605 * [misc]backup-simplify: Simplify 0 into 0 1546942101.605 * [misc]backup-simplify: Simplify 1 into 1 1546942101.606 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.606 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.606 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.607 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.607 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942101.607 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942101.608 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.608 * [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))) 1546942101.609 * [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)))) 1546942101.609 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942101.609 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942101.609 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942101.609 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942101.609 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.609 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.609 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.609 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.609 * [misc]taylor: Taking taylor expansion of k in n 1546942101.609 * [misc]backup-simplify: Simplify k into k 1546942101.609 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.609 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942101.609 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942101.609 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.610 * [misc]backup-simplify: Simplify 2 into 2 1546942101.610 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.610 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.610 * [misc]backup-simplify: Simplify PI into PI 1546942101.610 * [misc]taylor: Taking taylor expansion of n in n 1546942101.610 * [misc]backup-simplify: Simplify 0 into 0 1546942101.610 * [misc]backup-simplify: Simplify 1 into 1 1546942101.610 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.610 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.611 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.611 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.611 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942101.611 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942101.611 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.612 * [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))) 1546942101.612 * [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)))) 1546942101.612 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546942101.612 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546942101.612 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942101.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.613 * [misc]taylor: Taking taylor expansion of k in k 1546942101.613 * [misc]backup-simplify: Simplify 0 into 0 1546942101.613 * [misc]backup-simplify: Simplify 1 into 1 1546942101.613 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.613 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546942101.613 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942101.613 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942101.613 * [misc]taylor: Taking taylor expansion of 2 in k 1546942101.613 * [misc]backup-simplify: Simplify 2 into 2 1546942101.613 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.613 * [misc]backup-simplify: Simplify PI into PI 1546942101.613 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.613 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942101.613 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942101.613 * [misc]taylor: Taking taylor expansion of n in k 1546942101.613 * [misc]backup-simplify: Simplify n into n 1546942101.613 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942101.613 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.614 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942101.614 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942101.614 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942101.614 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546942101.614 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546942101.615 * [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)))) 1546942101.615 * [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)))) 1546942101.616 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942101.616 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942101.618 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942101.618 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942101.618 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942101.618 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.619 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546942101.620 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942101.620 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.620 * [misc]backup-simplify: Simplify 0 into 0 1546942101.620 * [misc]backup-simplify: Simplify 0 into 0 1546942101.620 * [misc]backup-simplify: Simplify 0 into 0 1546942101.621 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.621 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.624 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546942101.625 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.625 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942101.625 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.625 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.625 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.626 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546942101.627 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546942101.627 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.627 * [misc]backup-simplify: Simplify 0 into 0 1546942101.627 * [misc]backup-simplify: Simplify 0 into 0 1546942101.627 * [misc]backup-simplify: Simplify 0 into 0 1546942101.627 * [misc]backup-simplify: Simplify 0 into 0 1546942101.628 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.629 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.634 * [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 1546942101.634 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.634 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942101.634 * [misc]backup-simplify: Simplify (- 0) into 0 1546942101.634 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.635 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942101.635 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546942101.637 * [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 1546942101.637 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.637 * [misc]backup-simplify: Simplify 0 into 0 1546942101.637 * [misc]backup-simplify: Simplify 0 into 0 1546942101.638 * [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))))) 1546942101.638 * [misc]backup-simplify: Simplify (* (sqrt (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1546942101.638 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546942101.638 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942101.638 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546942101.638 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546942101.638 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942101.638 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.638 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.638 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.638 * [misc]taylor: Taking taylor expansion of k in k 1546942101.638 * [misc]backup-simplify: Simplify 0 into 0 1546942101.638 * [misc]backup-simplify: Simplify 1 into 1 1546942101.638 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.639 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.639 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546942101.639 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546942101.639 * [misc]taylor: Taking taylor expansion of -2 in k 1546942101.639 * [misc]backup-simplify: Simplify -2 into -2 1546942101.639 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942101.639 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.639 * [misc]backup-simplify: Simplify PI into PI 1546942101.639 * [misc]taylor: Taking taylor expansion of n in k 1546942101.639 * [misc]backup-simplify: Simplify n into n 1546942101.639 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942101.639 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546942101.639 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546942101.639 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.639 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.639 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546942101.639 * [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))) 1546942101.639 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942101.639 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942101.639 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942101.639 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942101.639 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.639 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.639 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.639 * [misc]taylor: Taking taylor expansion of k in n 1546942101.639 * [misc]backup-simplify: Simplify k into k 1546942101.639 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.640 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942101.640 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942101.640 * [misc]taylor: Taking taylor expansion of -2 in n 1546942101.640 * [misc]backup-simplify: Simplify -2 into -2 1546942101.640 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.640 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.640 * [misc]backup-simplify: Simplify PI into PI 1546942101.640 * [misc]taylor: Taking taylor expansion of n in n 1546942101.640 * [misc]backup-simplify: Simplify 0 into 0 1546942101.640 * [misc]backup-simplify: Simplify 1 into 1 1546942101.640 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.640 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.640 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942101.640 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.641 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942101.641 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.641 * [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))) 1546942101.642 * [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)))) 1546942101.642 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942101.642 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942101.642 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942101.642 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942101.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942101.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942101.642 * [misc]taylor: Taking taylor expansion of k in n 1546942101.642 * [misc]backup-simplify: Simplify k into k 1546942101.642 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942101.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942101.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.642 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942101.642 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942101.642 * [misc]taylor: Taking taylor expansion of -2 in n 1546942101.642 * [misc]backup-simplify: Simplify -2 into -2 1546942101.642 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.642 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.642 * [misc]backup-simplify: Simplify PI into PI 1546942101.642 * [misc]taylor: Taking taylor expansion of n in n 1546942101.642 * [misc]backup-simplify: Simplify 0 into 0 1546942101.642 * [misc]backup-simplify: Simplify 1 into 1 1546942101.642 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.642 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.643 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942101.643 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942101.643 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942101.643 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.644 * [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))) 1546942101.644 * [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)))) 1546942101.644 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546942101.644 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546942101.645 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942101.645 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942101.645 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.645 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942101.645 * [misc]taylor: Taking taylor expansion of k in k 1546942101.645 * [misc]backup-simplify: Simplify 0 into 0 1546942101.645 * [misc]backup-simplify: Simplify 1 into 1 1546942101.645 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942101.645 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942101.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942101.645 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546942101.645 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546942101.645 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546942101.645 * [misc]taylor: Taking taylor expansion of -2 in k 1546942101.645 * [misc]backup-simplify: Simplify -2 into -2 1546942101.645 * [misc]taylor: Taking taylor expansion of PI in k 1546942101.645 * [misc]backup-simplify: Simplify PI into PI 1546942101.645 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.645 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942101.645 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942101.645 * [misc]taylor: Taking taylor expansion of n in k 1546942101.645 * [misc]backup-simplify: Simplify n into n 1546942101.645 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942101.646 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942101.646 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942101.646 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942101.646 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546942101.646 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546942101.647 * [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)))) 1546942101.647 * [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)))) 1546942101.648 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942101.648 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942101.650 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546942101.650 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942101.650 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942101.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.651 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.651 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546942101.652 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942101.652 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.652 * [misc]backup-simplify: Simplify 0 into 0 1546942101.652 * [misc]backup-simplify: Simplify 0 into 0 1546942101.652 * [misc]backup-simplify: Simplify 0 into 0 1546942101.653 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.653 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.656 * [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 1546942101.656 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942101.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.657 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.658 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546942101.659 * [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 1546942101.659 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.659 * [misc]backup-simplify: Simplify 0 into 0 1546942101.659 * [misc]backup-simplify: Simplify 0 into 0 1546942101.659 * [misc]backup-simplify: Simplify 0 into 0 1546942101.659 * [misc]backup-simplify: Simplify 0 into 0 1546942101.660 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.661 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.665 * [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 1546942101.665 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942101.666 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942101.666 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942101.666 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942101.667 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546942101.670 * [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 1546942101.670 * [misc]taylor: Taking taylor expansion of 0 in k 1546942101.670 * [misc]backup-simplify: Simplify 0 into 0 1546942101.670 * [misc]backup-simplify: Simplify 0 into 0 1546942101.671 * [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))))) 1546942101.671 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1) 1546942101.671 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546942101.671 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546942101.671 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942101.671 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.671 * [misc]backup-simplify: Simplify 2 into 2 1546942101.671 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942101.671 * [misc]taylor: Taking taylor expansion of n in n 1546942101.671 * [misc]backup-simplify: Simplify 0 into 0 1546942101.671 * [misc]backup-simplify: Simplify 1 into 1 1546942101.671 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.671 * [misc]backup-simplify: Simplify PI into PI 1546942101.671 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942101.671 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.671 * [misc]backup-simplify: Simplify 2 into 2 1546942101.671 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942101.671 * [misc]taylor: Taking taylor expansion of n in n 1546942101.672 * [misc]backup-simplify: Simplify 0 into 0 1546942101.672 * [misc]backup-simplify: Simplify 1 into 1 1546942101.672 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.672 * [misc]backup-simplify: Simplify PI into PI 1546942101.672 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942101.672 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942101.672 * [misc]backup-simplify: Simplify 0 into 0 1546942101.673 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942101.673 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942101.674 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.675 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942101.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942101.676 * [misc]backup-simplify: Simplify 0 into 0 1546942101.677 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.679 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942101.679 * [misc]backup-simplify: Simplify 0 into 0 1546942101.681 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942101.683 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546942101.683 * [misc]backup-simplify: Simplify 0 into 0 1546942101.686 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546942101.689 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546942101.689 * [misc]backup-simplify: Simplify 0 into 0 1546942101.692 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546942101.696 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546942101.696 * [misc]backup-simplify: Simplify 0 into 0 1546942101.700 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546942101.704 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546942101.704 * [misc]backup-simplify: Simplify 0 into 0 1546942101.704 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546942101.704 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546942101.704 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546942101.704 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942101.704 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.704 * [misc]backup-simplify: Simplify 2 into 2 1546942101.704 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.704 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.704 * [misc]backup-simplify: Simplify PI into PI 1546942101.704 * [misc]taylor: Taking taylor expansion of n in n 1546942101.704 * [misc]backup-simplify: Simplify 0 into 0 1546942101.704 * [misc]backup-simplify: Simplify 1 into 1 1546942101.705 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.705 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942101.705 * [misc]taylor: Taking taylor expansion of 2 in n 1546942101.705 * [misc]backup-simplify: Simplify 2 into 2 1546942101.705 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.705 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.705 * [misc]backup-simplify: Simplify PI into PI 1546942101.705 * [misc]taylor: Taking taylor expansion of n in n 1546942101.705 * [misc]backup-simplify: Simplify 0 into 0 1546942101.705 * [misc]backup-simplify: Simplify 1 into 1 1546942101.705 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.706 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.706 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942101.708 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942101.708 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942101.708 * [misc]backup-simplify: Simplify 0 into 0 1546942101.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.711 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.711 * [misc]backup-simplify: Simplify 0 into 0 1546942101.713 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.714 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.714 * [misc]backup-simplify: Simplify 0 into 0 1546942101.716 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.718 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942101.718 * [misc]backup-simplify: Simplify 0 into 0 1546942101.720 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.723 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546942101.723 * [misc]backup-simplify: Simplify 0 into 0 1546942101.725 * [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 1546942101.728 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546942101.728 * [misc]backup-simplify: Simplify 0 into 0 1546942101.729 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546942101.729 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546942101.729 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546942101.729 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942101.729 * [misc]taylor: Taking taylor expansion of -2 in n 1546942101.729 * [misc]backup-simplify: Simplify -2 into -2 1546942101.729 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.729 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.729 * [misc]backup-simplify: Simplify PI into PI 1546942101.729 * [misc]taylor: Taking taylor expansion of n in n 1546942101.729 * [misc]backup-simplify: Simplify 0 into 0 1546942101.729 * [misc]backup-simplify: Simplify 1 into 1 1546942101.730 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.730 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942101.730 * [misc]taylor: Taking taylor expansion of -2 in n 1546942101.730 * [misc]backup-simplify: Simplify -2 into -2 1546942101.730 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942101.730 * [misc]taylor: Taking taylor expansion of PI in n 1546942101.730 * [misc]backup-simplify: Simplify PI into PI 1546942101.730 * [misc]taylor: Taking taylor expansion of n in n 1546942101.730 * [misc]backup-simplify: Simplify 0 into 0 1546942101.730 * [misc]backup-simplify: Simplify 1 into 1 1546942101.730 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942101.730 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.731 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942101.732 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942101.732 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942101.732 * [misc]backup-simplify: Simplify 0 into 0 1546942101.734 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.735 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942101.735 * [misc]backup-simplify: Simplify 0 into 0 1546942101.737 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.738 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942101.738 * [misc]backup-simplify: Simplify 0 into 0 1546942101.740 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.742 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942101.742 * [misc]backup-simplify: Simplify 0 into 0 1546942101.744 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942101.747 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546942101.747 * [misc]backup-simplify: Simplify 0 into 0 1546942101.750 * [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 1546942101.753 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546942101.753 * [misc]backup-simplify: Simplify 0 into 0 1546942101.753 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546942101.754 * * * [misc]progress: simplifying candidates 1546942101.754 * * * * [misc]progress: [ 1 / 102 ] simplifiying candidate # 1546942101.754 * * * * [misc]progress: [ 2 / 102 ] simplifiying candidate # 1546942101.754 * * * * [misc]progress: [ 3 / 102 ] simplifiying candidate # 1546942101.754 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546942101.754 * * [misc]simplify: iters left: 6 (11 enodes) 1546942101.758 * * [misc]simplify: iters left: 5 (21 enodes) 1546942101.764 * * [misc]simplify: iters left: 4 (47 enodes) 1546942101.773 * * [misc]simplify: iters left: 3 (113 enodes) 1546942101.805 * * [misc]simplify: iters left: 2 (328 enodes) 1546942102.040 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546942102.040 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))))) (sqrt k))) 1546942102.040 * * * * [misc]progress: [ 4 / 102 ] simplifiying candidate # 1546942102.040 * * * * [misc]progress: [ 5 / 102 ] simplifiying candidate # 1546942102.041 * [enter]simplify: Simplifying (* PI (* n 2)) 1546942102.041 * * [misc]simplify: iters left: 4 (5 enodes) 1546942102.042 * * [misc]simplify: iters left: 3 (9 enodes) 1546942102.045 * * [misc]simplify: iters left: 2 (15 enodes) 1546942102.049 * * [misc]simplify: iters left: 1 (17 enodes) 1546942102.053 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546942102.053 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.053 * * * * [misc]progress: [ 6 / 102 ] simplifiying candidate # 1546942102.053 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546942102.053 * * [misc]simplify: iters left: 5 (8 enodes) 1546942102.056 * * [misc]simplify: iters left: 4 (12 enodes) 1546942102.060 * * [misc]simplify: iters left: 3 (18 enodes) 1546942102.065 * * [misc]simplify: iters left: 2 (20 enodes) 1546942102.069 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546942102.070 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt k))) 1546942102.070 * * * * [misc]progress: [ 7 / 102 ] simplifiying candidate # 1546942102.070 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546942102.070 * * [misc]simplify: iters left: 5 (6 enodes) 1546942102.072 * * [misc]simplify: iters left: 4 (8 enodes) 1546942102.074 * * [misc]simplify: iters left: 3 (11 enodes) 1546942102.077 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546942102.077 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.077 * * * * [misc]progress: [ 8 / 102 ] simplifiying candidate # 1546942102.078 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546942102.078 * * [misc]simplify: iters left: 5 (6 enodes) 1546942102.079 * * [misc]simplify: iters left: 4 (8 enodes) 1546942102.082 * * [misc]simplify: iters left: 3 (11 enodes) 1546942102.085 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546942102.085 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.085 * * * * [misc]progress: [ 9 / 102 ] simplifiying candidate # 1546942102.085 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546942102.085 * * [misc]simplify: iters left: 4 (5 enodes) 1546942102.087 * * [misc]simplify: iters left: 3 (7 enodes) 1546942102.089 * * [misc]simplify: iters left: 2 (10 enodes) 1546942102.092 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546942102.092 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.092 * * * * [misc]progress: [ 10 / 102 ] simplifiying candidate # 1546942102.092 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942102.092 * * [misc]simplify: iters left: 5 (9 enodes) 1546942102.095 * * [misc]simplify: iters left: 4 (15 enodes) 1546942102.099 * * [misc]simplify: iters left: 3 (21 enodes) 1546942102.105 * * [misc]simplify: iters left: 2 (22 enodes) 1546942102.110 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942102.110 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))) (sqrt k))) 1546942102.110 * * * * [misc]progress: [ 11 / 102 ] simplifiying candidate # 1546942102.110 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942102.111 * * [misc]simplify: iters left: 5 (9 enodes) 1546942102.113 * * [misc]simplify: iters left: 4 (15 enodes) 1546942102.118 * * [misc]simplify: iters left: 3 (21 enodes) 1546942102.123 * * [misc]simplify: iters left: 2 (22 enodes) 1546942102.129 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942102.129 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))) (sqrt k))) 1546942102.129 * * * * [misc]progress: [ 12 / 102 ] simplifiying candidate # 1546942102.129 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546942102.129 * * [misc]simplify: iters left: 5 (7 enodes) 1546942102.131 * * [misc]simplify: iters left: 4 (9 enodes) 1546942102.134 * * [misc]simplify: iters left: 3 (12 enodes) 1546942102.137 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546942102.137 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.137 * * * * [misc]progress: [ 13 / 102 ] simplifiying candidate # 1546942102.137 * * * * [misc]progress: [ 14 / 102 ] simplifiying candidate # 1546942102.137 * * * * [misc]progress: [ 15 / 102 ] simplifiying candidate # 1546942102.137 * * * * [misc]progress: [ 16 / 102 ] simplifiying candidate # 1546942102.137 * * * * [misc]progress: [ 17 / 102 ] simplifiying candidate # 1546942102.137 * * * * [misc]progress: [ 18 / 102 ] simplifiying candidate # 1546942102.138 * * * * [misc]progress: [ 19 / 102 ] simplifiying candidate # 1546942102.138 * * * * [misc]progress: [ 20 / 102 ] simplifiying candidate # 1546942102.138 * * * * [misc]progress: [ 21 / 102 ] simplifiying candidate # 1546942102.138 * * * * [misc]progress: [ 22 / 102 ] simplifiying candidate # 1546942102.138 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546942102.138 * * [misc]simplify: iters left: 6 (11 enodes) 1546942102.142 * * [misc]simplify: iters left: 5 (21 enodes) 1546942102.149 * * [misc]simplify: iters left: 4 (47 enodes) 1546942102.163 * * [misc]simplify: iters left: 3 (113 enodes) 1546942102.195 * * [misc]simplify: iters left: 2 (328 enodes) 1546942102.452 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546942102.452 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.452 * * * * [misc]progress: [ 23 / 102 ] simplifiying candidate # 1546942102.452 * * * * [misc]progress: [ 24 / 102 ] simplifiying candidate # 1546942102.452 * [enter]simplify: Simplifying (* PI (* n 2)) 1546942102.452 * * [misc]simplify: iters left: 4 (5 enodes) 1546942102.454 * * [misc]simplify: iters left: 3 (9 enodes) 1546942102.456 * * [misc]simplify: iters left: 2 (15 enodes) 1546942102.460 * * [misc]simplify: iters left: 1 (17 enodes) 1546942102.464 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546942102.465 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.465 * * * * [misc]progress: [ 25 / 102 ] simplifiying candidate # 1546942102.465 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546942102.465 * * [misc]simplify: iters left: 5 (8 enodes) 1546942102.468 * * [misc]simplify: iters left: 4 (12 enodes) 1546942102.471 * * [misc]simplify: iters left: 3 (18 enodes) 1546942102.474 * * [misc]simplify: iters left: 2 (20 enodes) 1546942102.476 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546942102.476 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.476 * * * * [misc]progress: [ 26 / 102 ] simplifiying candidate # 1546942102.477 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546942102.477 * * [misc]simplify: iters left: 5 (6 enodes) 1546942102.477 * * [misc]simplify: iters left: 4 (8 enodes) 1546942102.479 * * [misc]simplify: iters left: 3 (11 enodes) 1546942102.480 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546942102.480 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.480 * * * * [misc]progress: [ 27 / 102 ] simplifiying candidate # 1546942102.480 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546942102.480 * * [misc]simplify: iters left: 5 (6 enodes) 1546942102.481 * * [misc]simplify: iters left: 4 (8 enodes) 1546942102.482 * * [misc]simplify: iters left: 3 (11 enodes) 1546942102.484 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546942102.484 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.484 * * * * [misc]progress: [ 28 / 102 ] simplifiying candidate # 1546942102.484 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546942102.484 * * [misc]simplify: iters left: 4 (5 enodes) 1546942102.485 * * [misc]simplify: iters left: 3 (7 enodes) 1546942102.486 * * [misc]simplify: iters left: 2 (10 enodes) 1546942102.487 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546942102.487 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.488 * * * * [misc]progress: [ 29 / 102 ] simplifiying candidate # 1546942102.488 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942102.488 * * [misc]simplify: iters left: 5 (9 enodes) 1546942102.489 * * [misc]simplify: iters left: 4 (15 enodes) 1546942102.491 * * [misc]simplify: iters left: 3 (21 enodes) 1546942102.494 * * [misc]simplify: iters left: 2 (22 enodes) 1546942102.498 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942102.498 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.498 * * * * [misc]progress: [ 30 / 102 ] simplifiying candidate # 1546942102.498 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942102.499 * * [misc]simplify: iters left: 5 (9 enodes) 1546942102.501 * * [misc]simplify: iters left: 4 (15 enodes) 1546942102.506 * * [misc]simplify: iters left: 3 (21 enodes) 1546942102.511 * * [misc]simplify: iters left: 2 (22 enodes) 1546942102.517 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942102.517 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.517 * * * * [misc]progress: [ 31 / 102 ] simplifiying candidate # 1546942102.517 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546942102.517 * * [misc]simplify: iters left: 5 (7 enodes) 1546942102.520 * * [misc]simplify: iters left: 4 (9 enodes) 1546942102.525 * * [misc]simplify: iters left: 3 (12 enodes) 1546942102.526 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546942102.526 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (sqrt (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.526 * * * * [misc]progress: [ 32 / 102 ] simplifiying candidate # 1546942102.527 * * * * [misc]progress: [ 33 / 102 ] simplifiying candidate # 1546942102.527 * * * * [misc]progress: [ 34 / 102 ] simplifiying candidate # 1546942102.527 * * * * [misc]progress: [ 35 / 102 ] simplifiying candidate # 1546942102.527 * * * * [misc]progress: [ 36 / 102 ] simplifiying candidate # 1546942102.527 * * * * [misc]progress: [ 37 / 102 ] simplifiying candidate # 1546942102.527 * * * * [misc]progress: [ 38 / 102 ] simplifiying candidate # 1546942102.527 * * * * [misc]progress: [ 39 / 102 ] simplifiying candidate # 1546942102.527 * * * * [misc]progress: [ 40 / 102 ] simplifiying candidate # 1546942102.527 * * * * [misc]progress: [ 41 / 102 ] simplifiying candidate # 1546942102.527 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546942102.527 * * [misc]simplify: iters left: 5 (10 enodes) 1546942102.529 * * [misc]simplify: iters left: 4 (16 enodes) 1546942102.531 * * [misc]simplify: iters left: 3 (25 enodes) 1546942102.534 * * [misc]simplify: iters left: 2 (26 enodes) 1546942102.537 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546942102.538 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (+ 1/2 1/2)) (sqrt k))) 1546942102.538 * [enter]simplify: Simplifying (+ 1/2 1/2) 1546942102.538 * * [misc]simplify: iters left: 2 (2 enodes) 1546942102.539 * * [misc]simplify: iters left: 1 (3 enodes) 1546942102.539 * [exit]simplify: Simplified to 1 1546942102.539 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1546942102.539 * * * * [misc]progress: [ 42 / 102 ] simplifiying candidate # 1546942102.539 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546942102.539 * * [misc]simplify: iters left: 6 (11 enodes) 1546942102.541 * * [misc]simplify: iters left: 5 (17 enodes) 1546942102.545 * * [misc]simplify: iters left: 4 (26 enodes) 1546942102.552 * * [misc]simplify: iters left: 3 (27 enodes) 1546942102.558 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546942102.558 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (+ 1 1)) (sqrt k))) 1546942102.559 * [enter]simplify: Simplifying (+ 1 1) 1546942102.559 * * [misc]simplify: iters left: 2 (2 enodes) 1546942102.560 * * [misc]simplify: iters left: 1 (5 enodes) 1546942102.561 * [exit]simplify: Simplified to 2 1546942102.561 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 2) (sqrt k))) 1546942102.561 * * * * [misc]progress: [ 43 / 102 ] simplifiying candidate # 1546942102.561 * [enter]simplify: Simplifying (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546942102.562 * * [misc]simplify: iters left: 6 (11 enodes) 1546942102.565 * * [misc]simplify: iters left: 5 (17 enodes) 1546942102.571 * * [misc]simplify: iters left: 4 (26 enodes) 1546942102.574 * * [misc]simplify: iters left: 3 (27 enodes) 1546942102.578 * [exit]simplify: Simplified to (* (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546942102.578 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1/2) (sqrt k))) 1546942102.578 * * * * [misc]progress: [ 44 / 102 ] simplifiying candidate # 1546942102.578 * [enter]simplify: Simplifying (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942102.578 * * [misc]simplify: iters left: 6 (12 enodes) 1546942102.580 * * [misc]simplify: iters left: 5 (18 enodes) 1546942102.582 * * [misc]simplify: iters left: 4 (28 enodes) 1546942102.586 * * [misc]simplify: iters left: 3 (30 enodes) 1546942102.589 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546942102.589 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1) (sqrt k))) 1546942102.589 * * * * [misc]progress: [ 45 / 102 ] simplifiying candidate # 1546942102.589 * * * * [misc]progress: [ 46 / 102 ] simplifiying candidate # 1546942102.590 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546942102.590 * * [misc]simplify: iters left: 6 (11 enodes) 1546942102.591 * * [misc]simplify: iters left: 5 (17 enodes) 1546942102.594 * * [misc]simplify: iters left: 4 (26 enodes) 1546942102.597 * * [misc]simplify: iters left: 3 (27 enodes) 1546942102.601 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546942102.601 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (+ 1 1)) (sqrt k))) 1546942102.601 * * * * [misc]progress: [ 47 / 102 ] simplifiying candidate # 1546942102.601 * * * * [misc]progress: [ 48 / 102 ] simplifiying candidate # 1546942102.601 * [enter]simplify: Simplifying (+ (log (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (log (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546942102.601 * * [misc]simplify: iters left: 6 (13 enodes) 1546942102.605 * * [misc]simplify: iters left: 5 (19 enodes) 1546942102.611 * * [misc]simplify: iters left: 4 (28 enodes) 1546942102.618 * * [misc]simplify: iters left: 3 (30 enodes) 1546942102.627 * [exit]simplify: Simplified to (+ (log (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (log (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546942102.627 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (log (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (log (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) (sqrt k))) 1546942102.627 * * * * [misc]progress: [ 49 / 102 ] simplifiying candidate # 1546942102.627 * * * * [misc]progress: [ 50 / 102 ] simplifiying candidate # 1546942102.627 * * * * [misc]progress: [ 51 / 102 ] simplifiying candidate # 1546942102.628 * [enter]simplify: Simplifying (* (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546942102.628 * * [misc]simplify: iters left: 6 (14 enodes) 1546942102.633 * * [misc]simplify: iters left: 5 (25 enodes) 1546942102.640 * * [misc]simplify: iters left: 4 (43 enodes) 1546942102.652 * * [misc]simplify: iters left: 3 (51 enodes) 1546942102.665 * * [misc]simplify: iters left: 2 (56 enodes) 1546942102.677 * * [misc]simplify: iters left: 1 (59 enodes) 1546942102.690 * [exit]simplify: Simplified to (pow (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 3) 1546942102.690 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 3)) (sqrt k))) 1546942102.690 * * * * [misc]progress: [ 52 / 102 ] simplifiying candidate # 1546942102.690 * * * * [misc]progress: [ 53 / 102 ] simplifiying candidate # 1546942102.690 * * * * [misc]progress: [ 54 / 102 ] simplifiying candidate # 1546942102.691 * [enter]simplify: Simplifying (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546942102.691 * * [misc]simplify: iters left: 6 (11 enodes) 1546942102.694 * * [misc]simplify: iters left: 5 (17 enodes) 1546942102.699 * * [misc]simplify: iters left: 4 (26 enodes) 1546942102.706 * * [misc]simplify: iters left: 3 (27 enodes) 1546942102.713 * [exit]simplify: Simplified to (* (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546942102.713 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.713 * * * * [misc]progress: [ 55 / 102 ] simplifiying candidate # 1546942102.713 * * * * [misc]progress: [ 56 / 102 ] simplifiying candidate # 1546942102.714 * [enter]simplify: Simplifying (* PI (* n 2)) 1546942102.714 * * [misc]simplify: iters left: 4 (5 enodes) 1546942102.715 * * [misc]simplify: iters left: 3 (9 enodes) 1546942102.718 * * [misc]simplify: iters left: 2 (15 enodes) 1546942102.722 * * [misc]simplify: iters left: 1 (17 enodes) 1546942102.726 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546942102.726 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1546942102.726 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546942102.727 * * [misc]simplify: iters left: 4 (5 enodes) 1546942102.728 * * [misc]simplify: iters left: 3 (7 enodes) 1546942102.730 * * [misc]simplify: iters left: 2 (10 enodes) 1546942102.733 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546942102.733 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942102.733 * * * * [misc]progress: [ 57 / 102 ] simplifiying candidate # 1546942102.734 * [enter]simplify: Simplifying (* (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) 1/2))) 1546942102.734 * * [misc]simplify: iters left: 6 (9 enodes) 1546942102.737 * * [misc]simplify: iters left: 5 (14 enodes) 1546942102.741 * * [misc]simplify: iters left: 4 (21 enodes) 1546942102.746 * * [misc]simplify: iters left: 3 (22 enodes) 1546942102.751 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546942102.751 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (* (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt k))) 1546942102.751 * [enter]simplify: Simplifying (* (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1546942102.751 * * [misc]simplify: iters left: 6 (10 enodes) 1546942102.754 * * [misc]simplify: iters left: 5 (14 enodes) 1546942102.758 * * [misc]simplify: iters left: 4 (21 enodes) 1546942102.764 * * [misc]simplify: iters left: 3 (22 enodes) 1546942102.766 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546942102.766 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1546942102.766 * * * * [misc]progress: [ 58 / 102 ] simplifiying candidate # 1546942102.766 * * * * [misc]progress: [ 59 / 102 ] simplifiying candidate # 1546942102.766 * [enter]simplify: Simplifying (cbrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942102.766 * * [misc]simplify: iters left: 6 (12 enodes) 1546942102.768 * * [misc]simplify: iters left: 5 (18 enodes) 1546942102.771 * * [misc]simplify: iters left: 4 (27 enodes) 1546942102.775 * * [misc]simplify: iters left: 3 (29 enodes) 1546942102.778 * [exit]simplify: Simplified to (cbrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942102.778 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.778 * * * * [misc]progress: [ 60 / 102 ] simplifiying candidate # 1546942102.779 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1546942102.779 * * [misc]simplify: iters left: 6 (10 enodes) 1546942102.780 * * [misc]simplify: iters left: 5 (16 enodes) 1546942102.783 * * [misc]simplify: iters left: 4 (22 enodes) 1546942102.785 * * [misc]simplify: iters left: 3 (24 enodes) 1546942102.788 * [exit]simplify: Simplified to (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) 1546942102.788 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* (* PI 2) n) (- (/ k 2))))) (sqrt k))) 1546942102.788 * * * * [misc]progress: [ 61 / 102 ] simplifiying candidate # 1546942102.789 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1546942102.789 * * [misc]simplify: iters left: 6 (10 enodes) 1546942102.790 * * [misc]simplify: iters left: 5 (16 enodes) 1546942102.792 * * [misc]simplify: iters left: 4 (22 enodes) 1546942102.795 * * [misc]simplify: iters left: 3 (24 enodes) 1546942102.801 * [exit]simplify: Simplified to (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) 1546942102.801 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* (* PI 2) n) (- (/ k 2))))) (sqrt k))) 1546942102.801 * * * * [misc]progress: [ 62 / 102 ] simplifiying candidate # 1546942102.802 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546942102.802 * * [misc]simplify: iters left: 6 (9 enodes) 1546942102.805 * * [misc]simplify: iters left: 5 (12 enodes) 1546942102.808 * * [misc]simplify: iters left: 4 (15 enodes) 1546942102.812 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546942102.812 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.812 * * * * [misc]progress: [ 63 / 102 ] simplifiying candidate # 1546942102.813 * [enter]simplify: Simplifying (sqrt (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942102.813 * * [misc]simplify: iters left: 6 (12 enodes) 1546942102.816 * * [misc]simplify: iters left: 5 (18 enodes) 1546942102.822 * * [misc]simplify: iters left: 4 (27 enodes) 1546942102.829 * * [misc]simplify: iters left: 3 (29 enodes) 1546942102.837 * [exit]simplify: Simplified to (sqrt (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942102.837 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (sqrt (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.837 * * * * [misc]progress: [ 64 / 102 ] simplifiying candidate # 1546942102.837 * [enter]simplify: Simplifying (sqrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942102.837 * * [misc]simplify: iters left: 6 (12 enodes) 1546942102.841 * * [misc]simplify: iters left: 5 (18 enodes) 1546942102.847 * * [misc]simplify: iters left: 4 (27 enodes) 1546942102.854 * * [misc]simplify: iters left: 3 (29 enodes) 1546942102.861 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942102.861 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.861 * * * * [misc]progress: [ 65 / 102 ] simplifiying candidate # 1546942102.862 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546942102.862 * * [misc]simplify: iters left: 6 (11 enodes) 1546942102.865 * * [misc]simplify: iters left: 5 (17 enodes) 1546942102.870 * * [misc]simplify: iters left: 4 (26 enodes) 1546942102.877 * * [misc]simplify: iters left: 3 (27 enodes) 1546942102.884 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546942102.884 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.884 * * * * [misc]progress: [ 66 / 102 ] simplifiying candidate # 1546942102.884 * [enter]simplify: Simplifying (sqrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942102.884 * * [misc]simplify: iters left: 6 (12 enodes) 1546942102.888 * * [misc]simplify: iters left: 5 (18 enodes) 1546942102.895 * * [misc]simplify: iters left: 4 (27 enodes) 1546942102.902 * * [misc]simplify: iters left: 3 (29 enodes) 1546942102.909 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942102.909 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.909 * * * * [misc]progress: [ 67 / 102 ] simplifiying candidate # 1546942102.909 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546942102.910 * * [misc]simplify: iters left: 6 (11 enodes) 1546942102.913 * * [misc]simplify: iters left: 5 (17 enodes) 1546942102.917 * * [misc]simplify: iters left: 4 (26 enodes) 1546942102.920 * * [misc]simplify: iters left: 3 (27 enodes) 1546942102.923 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546942102.923 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (sqrt k))) 1546942102.923 * * * * [misc]progress: [ 68 / 102 ] simplifiying candidate # 1546942102.923 * [enter]simplify: Simplifying (* (cbrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546942102.924 * * [misc]simplify: iters left: 6 (13 enodes) 1546942102.925 * * [misc]simplify: iters left: 5 (19 enodes) 1546942102.928 * * [misc]simplify: iters left: 4 (28 enodes) 1546942102.932 * * [misc]simplify: iters left: 3 (30 enodes) 1546942102.935 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546942102.936 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.936 * * * * [misc]progress: [ 69 / 102 ] simplifiying candidate # 1546942102.936 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) 1/2)) 1546942102.936 * * [misc]simplify: iters left: 6 (8 enodes) 1546942102.937 * * [misc]simplify: iters left: 5 (13 enodes) 1546942102.939 * * [misc]simplify: iters left: 4 (19 enodes) 1546942102.941 * * [misc]simplify: iters left: 3 (20 enodes) 1546942102.944 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1546942102.944 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.944 * * * * [misc]progress: [ 70 / 102 ] simplifiying candidate # 1546942102.944 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) 1/2)) 1546942102.944 * * [misc]simplify: iters left: 6 (8 enodes) 1546942102.945 * * [misc]simplify: iters left: 5 (13 enodes) 1546942102.947 * * [misc]simplify: iters left: 4 (19 enodes) 1546942102.951 * * [misc]simplify: iters left: 3 (20 enodes) 1546942102.956 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1546942102.956 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.956 * * * * [misc]progress: [ 71 / 102 ] simplifiying candidate # 1546942102.957 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1546942102.957 * * [misc]simplify: iters left: 6 (8 enodes) 1546942102.959 * * [misc]simplify: iters left: 5 (10 enodes) 1546942102.962 * * [misc]simplify: iters left: 4 (13 enodes) 1546942102.966 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546942102.966 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.966 * * * * [misc]progress: [ 72 / 102 ] simplifiying candidate # 1546942102.966 * [enter]simplify: Simplifying (sqrt (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546942102.967 * * [misc]simplify: iters left: 6 (13 enodes) 1546942102.971 * * [misc]simplify: iters left: 5 (20 enodes) 1546942102.976 * * [misc]simplify: iters left: 4 (29 enodes) 1546942102.984 * * [misc]simplify: iters left: 3 (30 enodes) 1546942102.991 * [exit]simplify: Simplified to (fabs (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942102.991 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (fabs (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942102.991 * * * * [misc]progress: [ 73 / 102 ] simplifiying candidate # 1546942102.992 * [enter]simplify: Simplifying (sqrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942102.992 * * [misc]simplify: iters left: 6 (12 enodes) 1546942102.996 * * [misc]simplify: iters left: 5 (18 enodes) 1546942102.998 * * [misc]simplify: iters left: 4 (27 enodes) 1546942103.002 * * [misc]simplify: iters left: 3 (29 enodes) 1546942103.006 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942103.006 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942103.006 * * * * [misc]progress: [ 74 / 102 ] simplifiying candidate # 1546942103.006 * [enter]simplify: Simplifying (sqrt 1) 1546942103.006 * * [misc]simplify: iters left: 1 (2 enodes) 1546942103.007 * [exit]simplify: Simplified to 1 1546942103.007 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942103.007 * * * * [misc]progress: [ 75 / 102 ] simplifiying candidate # 1546942103.007 * [enter]simplify: Simplifying (sqrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942103.007 * * [misc]simplify: iters left: 6 (12 enodes) 1546942103.009 * * [misc]simplify: iters left: 5 (18 enodes) 1546942103.012 * * [misc]simplify: iters left: 4 (27 enodes) 1546942103.015 * * [misc]simplify: iters left: 3 (29 enodes) 1546942103.019 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942103.019 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt k))) 1546942103.019 * * * * [misc]progress: [ 76 / 102 ] simplifiying candidate # 1546942103.019 * * * * [misc]progress: [ 77 / 102 ] simplifiying candidate # 1546942103.019 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (/ k 2))) 1546942103.019 * * [misc]simplify: iters left: 6 (9 enodes) 1546942103.020 * * [misc]simplify: iters left: 5 (13 enodes) 1546942103.022 * * [misc]simplify: iters left: 4 (19 enodes) 1546942103.025 * * [misc]simplify: iters left: 3 (20 enodes) 1546942103.027 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (/ k 2))) 1546942103.027 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k))) 1546942103.027 * * * * [misc]progress: [ 78 / 102 ] simplifiying candidate # 1546942103.027 * [enter]simplify: Simplifying (* (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942103.027 * * [misc]simplify: iters left: 6 (14 enodes) 1546942103.029 * * [misc]simplify: iters left: 5 (22 enodes) 1546942103.032 * * [misc]simplify: iters left: 4 (31 enodes) 1546942103.036 * * [misc]simplify: iters left: 3 (33 enodes) 1546942103.040 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1546942103.040 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))) 1546942103.040 * * * * [misc]progress: [ 79 / 102 ] simplifiying candidate # 1546942103.040 * * * * [misc]progress: [ 80 / 102 ] simplifiying candidate # 1546942103.040 * * * * [misc]progress: [ 81 / 102 ] simplifiying candidate # 1546942103.040 * * * * [misc]progress: [ 82 / 102 ] simplifiying candidate # 1546942103.040 * * * * [misc]progress: [ 83 / 102 ] simplifiying candidate # 1546942103.040 * * * * [misc]progress: [ 84 / 102 ] simplifiying candidate # 1546942103.041 * * * * [misc]progress: [ 85 / 102 ] simplifiying candidate # 1546942103.041 * * * * [misc]progress: [ 86 / 102 ] simplifiying candidate # 1546942103.041 * * * * [misc]progress: [ 87 / 102 ] simplifiying candidate # 1546942103.041 * * * * [misc]progress: [ 88 / 102 ] simplifiying candidate # 1546942103.041 * * * * [misc]progress: [ 89 / 102 ] simplifiying candidate # 1546942103.041 * * * * [misc]progress: [ 90 / 102 ] simplifiying candidate # 1546942103.041 * * * * [misc]progress: [ 91 / 102 ] simplifiying candidate # 1546942103.041 * [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))))) 1546942103.041 * * [misc]simplify: iters left: 6 (37 enodes) 1546942103.049 * * [misc]simplify: iters left: 5 (108 enodes) 1546942103.071 * * [misc]simplify: iters left: 4 (368 enodes) 1546942103.301 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546942103.301 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))))) (sqrt k))) 1546942103.302 * * * * [misc]progress: [ 92 / 102 ] simplifiying candidate # 1546942103.302 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546942103.302 * * [misc]simplify: iters left: 6 (15 enodes) 1546942103.308 * * [misc]simplify: iters left: 5 (33 enodes) 1546942103.318 * * [misc]simplify: iters left: 4 (64 enodes) 1546942103.339 * * [misc]simplify: iters left: 3 (179 enodes) 1546942103.453 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546942103.454 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1546942103.454 * * * * [misc]progress: [ 93 / 102 ] simplifiying candidate # 1546942103.454 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546942103.454 * * [misc]simplify: iters left: 6 (15 enodes) 1546942103.459 * * [misc]simplify: iters left: 5 (30 enodes) 1546942103.465 * * [misc]simplify: iters left: 4 (65 enodes) 1546942103.481 * * [misc]simplify: iters left: 3 (208 enodes) 1546942103.609 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546942103.610 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k))) 1546942103.610 * * * * [misc]progress: [ 94 / 102 ] simplifiying candidate # 1546942103.610 * [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))))) 1546942103.611 * * [misc]simplify: iters left: 6 (37 enodes) 1546942103.626 * * [misc]simplify: iters left: 5 (108 enodes) 1546942103.669 * * [misc]simplify: iters left: 4 (368 enodes) 1546942103.897 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546942103.897 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (sqrt (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942103.897 * * * * [misc]progress: [ 95 / 102 ] simplifiying candidate # 1546942103.897 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546942103.897 * * [misc]simplify: iters left: 6 (15 enodes) 1546942103.900 * * [misc]simplify: iters left: 5 (33 enodes) 1546942103.905 * * [misc]simplify: iters left: 4 (64 enodes) 1546942103.917 * * [misc]simplify: iters left: 3 (179 enodes) 1546942103.989 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546942103.989 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (sqrt (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942103.989 * * * * [misc]progress: [ 96 / 102 ] simplifiying candidate # 1546942103.990 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546942103.990 * * [misc]simplify: iters left: 6 (15 enodes) 1546942103.995 * * [misc]simplify: iters left: 5 (30 enodes) 1546942104.006 * * [misc]simplify: iters left: 4 (65 enodes) 1546942104.036 * * [misc]simplify: iters left: 3 (208 enodes) 1546942104.155 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546942104.155 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (sqrt (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1546942104.156 * * * * [misc]progress: [ 97 / 102 ] simplifiying candidate # 1546942104.156 * [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))))) 1546942104.157 * * [misc]simplify: iters left: 6 (37 enodes) 1546942104.172 * * [misc]simplify: iters left: 5 (108 enodes) 1546942104.220 * * [misc]simplify: iters left: 4 (368 enodes) 1546942104.480 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546942104.480 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1546942104.480 * * * * [misc]progress: [ 98 / 102 ] simplifiying candidate # 1546942104.480 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546942104.480 * * [misc]simplify: iters left: 6 (15 enodes) 1546942104.483 * * [misc]simplify: iters left: 5 (33 enodes) 1546942104.488 * * [misc]simplify: iters left: 4 (64 enodes) 1546942104.500 * * [misc]simplify: iters left: 3 (179 enodes) 1546942104.599 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546942104.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546942104.599 * * * * [misc]progress: [ 99 / 102 ] simplifiying candidate # 1546942104.599 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546942104.599 * * [misc]simplify: iters left: 6 (15 enodes) 1546942104.605 * * [misc]simplify: iters left: 5 (30 enodes) 1546942104.615 * * [misc]simplify: iters left: 4 (65 enodes) 1546942104.645 * * [misc]simplify: iters left: 3 (208 enodes) 1546942104.815 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546942104.815 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1546942104.815 * * * * [misc]progress: [ 100 / 102 ] simplifiying candidate # 1546942104.816 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546942104.816 * * [misc]simplify: iters left: 4 (5 enodes) 1546942104.817 * * [misc]simplify: iters left: 3 (9 enodes) 1546942104.820 * * [misc]simplify: iters left: 2 (15 enodes) 1546942104.824 * * [misc]simplify: iters left: 1 (17 enodes) 1546942104.828 * [exit]simplify: Simplified to (* (* PI n) 2) 1546942104.828 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (sqrt k))) 1546942104.828 * * * * [misc]progress: [ 101 / 102 ] simplifiying candidate # 1546942104.828 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546942104.828 * * [misc]simplify: iters left: 4 (5 enodes) 1546942104.830 * * [misc]simplify: iters left: 3 (9 enodes) 1546942104.833 * * [misc]simplify: iters left: 2 (15 enodes) 1546942104.837 * * [misc]simplify: iters left: 1 (17 enodes) 1546942104.841 * [exit]simplify: Simplified to (* (* PI n) 2) 1546942104.841 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (sqrt k))) 1546942104.841 * * * * [misc]progress: [ 102 / 102 ] simplifiying candidate # 1546942104.841 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546942104.841 * * [misc]simplify: iters left: 4 (5 enodes) 1546942104.843 * * [misc]simplify: iters left: 3 (9 enodes) 1546942104.846 * * [misc]simplify: iters left: 2 (15 enodes) 1546942104.850 * * [misc]simplify: iters left: 1 (17 enodes) 1546942104.854 * [exit]simplify: Simplified to (* (* PI n) 2) 1546942104.854 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (sqrt k))) 1546942104.854 * * * [misc]progress: adding candidates to table 1546942106.351 * * [misc]progress: iteration 3 / 4 1546942106.351 * * * [misc]progress: picking best candidate 1546942106.392 * * * * [misc]pick: Picked # 1546942106.392 * * * [misc]progress: localizing error 1546942106.406 * * * [misc]progress: generating rewritten candidates 1546942106.406 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) 1546942106.410 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) 1546942106.413 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1546942106.428 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1546942106.433 * * * [misc]progress: generating series expansions 1546942106.433 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) 1546942106.433 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546942106.433 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546942106.433 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546942106.433 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546942106.433 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546942106.433 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942106.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.434 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942106.434 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.434 * [misc]taylor: Taking taylor expansion of k in k 1546942106.434 * [misc]backup-simplify: Simplify 0 into 0 1546942106.434 * [misc]backup-simplify: Simplify 1 into 1 1546942106.434 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546942106.434 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546942106.434 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.434 * [misc]backup-simplify: Simplify 2 into 2 1546942106.434 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546942106.434 * [misc]taylor: Taking taylor expansion of n in k 1546942106.434 * [misc]backup-simplify: Simplify n into n 1546942106.434 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.434 * [misc]backup-simplify: Simplify PI into PI 1546942106.434 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546942106.434 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546942106.434 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546942106.434 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942106.435 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.435 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.435 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546942106.435 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546942106.435 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942106.435 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942106.435 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942106.435 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942106.435 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.435 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.435 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942106.435 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.435 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.435 * [misc]taylor: Taking taylor expansion of k in n 1546942106.435 * [misc]backup-simplify: Simplify k into k 1546942106.435 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942106.435 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942106.435 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.435 * [misc]backup-simplify: Simplify 2 into 2 1546942106.436 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942106.436 * [misc]taylor: Taking taylor expansion of n in n 1546942106.436 * [misc]backup-simplify: Simplify 0 into 0 1546942106.436 * [misc]backup-simplify: Simplify 1 into 1 1546942106.436 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.436 * [misc]backup-simplify: Simplify PI into PI 1546942106.436 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942106.436 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942106.437 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942106.437 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942106.438 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.438 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942106.438 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942106.438 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942106.439 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.439 * [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)))) 1546942106.440 * [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))))) 1546942106.440 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942106.440 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942106.440 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942106.440 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942106.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.440 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942106.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.440 * [misc]taylor: Taking taylor expansion of k in n 1546942106.440 * [misc]backup-simplify: Simplify k into k 1546942106.440 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942106.440 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942106.441 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.441 * [misc]backup-simplify: Simplify 2 into 2 1546942106.441 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942106.441 * [misc]taylor: Taking taylor expansion of n in n 1546942106.441 * [misc]backup-simplify: Simplify 0 into 0 1546942106.441 * [misc]backup-simplify: Simplify 1 into 1 1546942106.441 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.441 * [misc]backup-simplify: Simplify PI into PI 1546942106.441 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942106.441 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942106.442 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942106.442 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942106.443 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.443 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942106.443 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942106.443 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942106.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.444 * [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)))) 1546942106.445 * [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))))) 1546942106.445 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546942106.445 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546942106.445 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942106.445 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.445 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942106.445 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.445 * [misc]taylor: Taking taylor expansion of k in k 1546942106.445 * [misc]backup-simplify: Simplify 0 into 0 1546942106.445 * [misc]backup-simplify: Simplify 1 into 1 1546942106.445 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546942106.445 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942106.445 * [misc]taylor: Taking taylor expansion of n in k 1546942106.445 * [misc]backup-simplify: Simplify n into n 1546942106.445 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942106.445 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942106.445 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942106.446 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.446 * [misc]backup-simplify: Simplify 2 into 2 1546942106.446 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.446 * [misc]backup-simplify: Simplify PI into PI 1546942106.446 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.446 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.446 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942106.447 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.447 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.447 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.448 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546942106.448 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942106.449 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942106.450 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942106.451 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942106.454 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942106.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942106.454 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.454 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.455 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.456 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546942106.457 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942106.457 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.457 * [misc]backup-simplify: Simplify 0 into 0 1546942106.457 * [misc]backup-simplify: Simplify 0 into 0 1546942106.458 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942106.459 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942106.461 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942106.461 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.462 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942106.462 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942106.462 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942106.463 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546942106.464 * [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))))))) 1546942106.466 * [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))))))) 1546942106.467 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.469 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942106.473 * [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 1546942106.474 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942106.474 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.475 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.475 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942106.478 * [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 1546942106.478 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.478 * [misc]backup-simplify: Simplify 0 into 0 1546942106.478 * [misc]backup-simplify: Simplify 0 into 0 1546942106.478 * [misc]backup-simplify: Simplify 0 into 0 1546942106.479 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942106.480 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942106.485 * [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 1546942106.486 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.486 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942106.486 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.486 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.487 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942106.490 * [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))))) 1546942106.492 * [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))))) 1546942106.497 * [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))))) 1546942106.497 * [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)))) 1546942106.497 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546942106.497 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942106.497 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546942106.497 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546942106.497 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942106.497 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.498 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.498 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.498 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.498 * [misc]taylor: Taking taylor expansion of k in k 1546942106.498 * [misc]backup-simplify: Simplify 0 into 0 1546942106.498 * [misc]backup-simplify: Simplify 1 into 1 1546942106.498 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.498 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546942106.498 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546942106.498 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.498 * [misc]backup-simplify: Simplify 2 into 2 1546942106.498 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942106.498 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.498 * [misc]backup-simplify: Simplify PI into PI 1546942106.498 * [misc]taylor: Taking taylor expansion of n in k 1546942106.498 * [misc]backup-simplify: Simplify n into n 1546942106.498 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942106.498 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546942106.498 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546942106.499 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.499 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942106.499 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942106.499 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546942106.499 * [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)))) 1546942106.499 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942106.499 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942106.499 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942106.499 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942106.499 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.500 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.500 * [misc]taylor: Taking taylor expansion of k in n 1546942106.500 * [misc]backup-simplify: Simplify k into k 1546942106.500 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.500 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942106.500 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942106.500 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.500 * [misc]backup-simplify: Simplify 2 into 2 1546942106.500 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.500 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.500 * [misc]backup-simplify: Simplify PI into PI 1546942106.500 * [misc]taylor: Taking taylor expansion of n in n 1546942106.500 * [misc]backup-simplify: Simplify 0 into 0 1546942106.500 * [misc]backup-simplify: Simplify 1 into 1 1546942106.500 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.501 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.501 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.501 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.501 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942106.501 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942106.502 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.503 * [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))) 1546942106.503 * [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)))) 1546942106.503 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942106.503 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942106.504 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942106.504 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942106.504 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.504 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.504 * [misc]taylor: Taking taylor expansion of k in n 1546942106.504 * [misc]backup-simplify: Simplify k into k 1546942106.504 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.504 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942106.504 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942106.504 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.504 * [misc]backup-simplify: Simplify 2 into 2 1546942106.504 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.504 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.504 * [misc]backup-simplify: Simplify PI into PI 1546942106.504 * [misc]taylor: Taking taylor expansion of n in n 1546942106.504 * [misc]backup-simplify: Simplify 0 into 0 1546942106.504 * [misc]backup-simplify: Simplify 1 into 1 1546942106.504 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.505 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.505 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.505 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.505 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942106.506 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942106.506 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.507 * [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))) 1546942106.508 * [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)))) 1546942106.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546942106.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546942106.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942106.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.508 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.508 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.508 * [misc]taylor: Taking taylor expansion of k in k 1546942106.508 * [misc]backup-simplify: Simplify 0 into 0 1546942106.508 * [misc]backup-simplify: Simplify 1 into 1 1546942106.508 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.508 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546942106.508 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942106.508 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942106.508 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.508 * [misc]backup-simplify: Simplify 2 into 2 1546942106.508 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.508 * [misc]backup-simplify: Simplify PI into PI 1546942106.509 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.509 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.509 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942106.509 * [misc]taylor: Taking taylor expansion of n in k 1546942106.509 * [misc]backup-simplify: Simplify n into n 1546942106.509 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942106.510 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.510 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942106.510 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942106.510 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942106.510 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546942106.511 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546942106.512 * [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)))) 1546942106.512 * [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)))) 1546942106.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942106.514 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942106.517 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942106.517 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942106.517 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942106.517 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.517 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.518 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.519 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546942106.520 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942106.520 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.520 * [misc]backup-simplify: Simplify 0 into 0 1546942106.520 * [misc]backup-simplify: Simplify 0 into 0 1546942106.520 * [misc]backup-simplify: Simplify 0 into 0 1546942106.522 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.523 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942106.528 * [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 1546942106.528 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.528 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942106.531 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.532 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.533 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546942106.535 * [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 1546942106.535 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.535 * [misc]backup-simplify: Simplify 0 into 0 1546942106.535 * [misc]backup-simplify: Simplify 0 into 0 1546942106.535 * [misc]backup-simplify: Simplify 0 into 0 1546942106.535 * [misc]backup-simplify: Simplify 0 into 0 1546942106.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.538 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.546 * [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 1546942106.546 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942106.547 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.548 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.549 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546942106.553 * [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 1546942106.553 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.553 * [misc]backup-simplify: Simplify 0 into 0 1546942106.553 * [misc]backup-simplify: Simplify 0 into 0 1546942106.554 * [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))))) 1546942106.554 * [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)) 1546942106.554 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546942106.554 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942106.554 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546942106.554 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546942106.554 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942106.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.554 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.554 * [misc]taylor: Taking taylor expansion of k in k 1546942106.554 * [misc]backup-simplify: Simplify 0 into 0 1546942106.554 * [misc]backup-simplify: Simplify 1 into 1 1546942106.555 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.555 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546942106.555 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546942106.555 * [misc]taylor: Taking taylor expansion of -2 in k 1546942106.555 * [misc]backup-simplify: Simplify -2 into -2 1546942106.555 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942106.555 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.555 * [misc]backup-simplify: Simplify PI into PI 1546942106.555 * [misc]taylor: Taking taylor expansion of n in k 1546942106.555 * [misc]backup-simplify: Simplify n into n 1546942106.555 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942106.555 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546942106.555 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546942106.555 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.555 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.556 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546942106.556 * [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))) 1546942106.556 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942106.556 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942106.556 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942106.556 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942106.556 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.556 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.556 * [misc]taylor: Taking taylor expansion of k in n 1546942106.556 * [misc]backup-simplify: Simplify k into k 1546942106.556 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.556 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942106.556 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942106.556 * [misc]taylor: Taking taylor expansion of -2 in n 1546942106.556 * [misc]backup-simplify: Simplify -2 into -2 1546942106.556 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.556 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.556 * [misc]backup-simplify: Simplify PI into PI 1546942106.556 * [misc]taylor: Taking taylor expansion of n in n 1546942106.556 * [misc]backup-simplify: Simplify 0 into 0 1546942106.557 * [misc]backup-simplify: Simplify 1 into 1 1546942106.557 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.557 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942106.558 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942106.558 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.558 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942106.558 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.559 * [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))) 1546942106.560 * [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)))) 1546942106.560 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942106.560 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942106.560 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942106.560 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942106.560 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.560 * [misc]taylor: Taking taylor expansion of k in n 1546942106.560 * [misc]backup-simplify: Simplify k into k 1546942106.560 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.560 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942106.560 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942106.560 * [misc]taylor: Taking taylor expansion of -2 in n 1546942106.560 * [misc]backup-simplify: Simplify -2 into -2 1546942106.560 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.560 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.560 * [misc]backup-simplify: Simplify PI into PI 1546942106.560 * [misc]taylor: Taking taylor expansion of n in n 1546942106.560 * [misc]backup-simplify: Simplify 0 into 0 1546942106.560 * [misc]backup-simplify: Simplify 1 into 1 1546942106.561 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.561 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942106.561 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942106.561 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.562 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942106.562 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.563 * [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))) 1546942106.563 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546942106.563 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546942106.563 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546942106.563 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942106.563 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.564 * [misc]taylor: Taking taylor expansion of k in k 1546942106.564 * [misc]backup-simplify: Simplify 0 into 0 1546942106.564 * [misc]backup-simplify: Simplify 1 into 1 1546942106.564 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.564 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546942106.564 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546942106.564 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546942106.564 * [misc]taylor: Taking taylor expansion of -2 in k 1546942106.564 * [misc]backup-simplify: Simplify -2 into -2 1546942106.564 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.564 * [misc]backup-simplify: Simplify PI into PI 1546942106.564 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942106.564 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942106.564 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942106.564 * [misc]taylor: Taking taylor expansion of n in k 1546942106.564 * [misc]backup-simplify: Simplify n into n 1546942106.564 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942106.565 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.565 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.565 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942106.565 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546942106.565 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546942106.566 * [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)))) 1546942106.566 * [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)))) 1546942106.567 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942106.567 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942106.569 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546942106.569 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942106.569 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942106.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.569 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.570 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546942106.571 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942106.571 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.571 * [misc]backup-simplify: Simplify 0 into 0 1546942106.571 * [misc]backup-simplify: Simplify 0 into 0 1546942106.571 * [misc]backup-simplify: Simplify 0 into 0 1546942106.572 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.572 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942106.575 * [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 1546942106.575 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.575 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942106.575 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.576 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.576 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546942106.578 * [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 1546942106.578 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.578 * [misc]backup-simplify: Simplify 0 into 0 1546942106.578 * [misc]backup-simplify: Simplify 0 into 0 1546942106.578 * [misc]backup-simplify: Simplify 0 into 0 1546942106.578 * [misc]backup-simplify: Simplify 0 into 0 1546942106.579 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.580 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.584 * [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 1546942106.584 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.584 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942106.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.585 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.585 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546942106.587 * [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 1546942106.588 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.588 * [misc]backup-simplify: Simplify 0 into 0 1546942106.588 * [misc]backup-simplify: Simplify 0 into 0 1546942106.588 * [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))))) 1546942106.588 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) 1546942106.588 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546942106.588 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546942106.588 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546942106.588 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546942106.588 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546942106.588 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942106.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.588 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942106.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.588 * [misc]taylor: Taking taylor expansion of k in k 1546942106.588 * [misc]backup-simplify: Simplify 0 into 0 1546942106.588 * [misc]backup-simplify: Simplify 1 into 1 1546942106.588 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546942106.588 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546942106.588 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.588 * [misc]backup-simplify: Simplify 2 into 2 1546942106.588 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546942106.588 * [misc]taylor: Taking taylor expansion of n in k 1546942106.589 * [misc]backup-simplify: Simplify n into n 1546942106.589 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.589 * [misc]backup-simplify: Simplify PI into PI 1546942106.589 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546942106.589 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546942106.589 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546942106.589 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942106.589 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.589 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.589 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546942106.589 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546942106.589 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942106.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942106.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942106.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942106.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.589 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942106.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.589 * [misc]taylor: Taking taylor expansion of k in n 1546942106.589 * [misc]backup-simplify: Simplify k into k 1546942106.589 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942106.589 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942106.589 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.589 * [misc]backup-simplify: Simplify 2 into 2 1546942106.589 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942106.589 * [misc]taylor: Taking taylor expansion of n in n 1546942106.589 * [misc]backup-simplify: Simplify 0 into 0 1546942106.589 * [misc]backup-simplify: Simplify 1 into 1 1546942106.590 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.590 * [misc]backup-simplify: Simplify PI into PI 1546942106.590 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942106.590 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942106.590 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942106.591 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942106.591 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.591 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942106.591 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942106.591 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942106.592 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.592 * [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)))) 1546942106.592 * [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))))) 1546942106.592 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942106.592 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942106.592 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942106.592 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942106.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.592 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942106.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.592 * [misc]taylor: Taking taylor expansion of k in n 1546942106.592 * [misc]backup-simplify: Simplify k into k 1546942106.592 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942106.593 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942106.593 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.593 * [misc]backup-simplify: Simplify 2 into 2 1546942106.593 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942106.593 * [misc]taylor: Taking taylor expansion of n in n 1546942106.593 * [misc]backup-simplify: Simplify 0 into 0 1546942106.593 * [misc]backup-simplify: Simplify 1 into 1 1546942106.593 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.593 * [misc]backup-simplify: Simplify PI into PI 1546942106.593 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942106.593 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942106.593 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942106.594 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942106.594 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.594 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942106.594 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942106.594 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942106.595 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.595 * [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)))) 1546942106.595 * [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))))) 1546942106.596 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546942106.596 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546942106.596 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942106.596 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.596 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942106.596 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.596 * [misc]taylor: Taking taylor expansion of k in k 1546942106.596 * [misc]backup-simplify: Simplify 0 into 0 1546942106.596 * [misc]backup-simplify: Simplify 1 into 1 1546942106.596 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546942106.596 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942106.596 * [misc]taylor: Taking taylor expansion of n in k 1546942106.596 * [misc]backup-simplify: Simplify n into n 1546942106.596 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942106.596 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942106.596 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942106.596 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.596 * [misc]backup-simplify: Simplify 2 into 2 1546942106.596 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.596 * [misc]backup-simplify: Simplify PI into PI 1546942106.597 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.597 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.597 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942106.597 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.597 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.598 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.599 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546942106.599 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942106.600 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942106.601 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942106.602 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942106.605 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942106.605 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942106.606 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.606 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.606 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.607 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546942106.609 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942106.609 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.609 * [misc]backup-simplify: Simplify 0 into 0 1546942106.609 * [misc]backup-simplify: Simplify 0 into 0 1546942106.610 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942106.610 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942106.613 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942106.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.613 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942106.614 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942106.614 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942106.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546942106.616 * [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))))))) 1546942106.617 * [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))))))) 1546942106.619 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.621 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942106.626 * [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 1546942106.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942106.626 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.626 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.627 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.628 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942106.630 * [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 1546942106.630 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.630 * [misc]backup-simplify: Simplify 0 into 0 1546942106.630 * [misc]backup-simplify: Simplify 0 into 0 1546942106.630 * [misc]backup-simplify: Simplify 0 into 0 1546942106.632 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942106.633 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942106.637 * [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 1546942106.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.638 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942106.638 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.639 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942106.641 * [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))))) 1546942106.643 * [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))))) 1546942106.648 * [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))))) 1546942106.648 * [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)))) 1546942106.649 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546942106.649 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942106.649 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546942106.649 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546942106.649 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942106.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.649 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.649 * [misc]taylor: Taking taylor expansion of k in k 1546942106.649 * [misc]backup-simplify: Simplify 0 into 0 1546942106.649 * [misc]backup-simplify: Simplify 1 into 1 1546942106.649 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.649 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546942106.649 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546942106.649 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.649 * [misc]backup-simplify: Simplify 2 into 2 1546942106.649 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942106.649 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.649 * [misc]backup-simplify: Simplify PI into PI 1546942106.649 * [misc]taylor: Taking taylor expansion of n in k 1546942106.649 * [misc]backup-simplify: Simplify n into n 1546942106.649 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942106.649 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546942106.650 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546942106.650 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.650 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942106.650 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942106.650 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546942106.650 * [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)))) 1546942106.650 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942106.650 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942106.650 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942106.651 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942106.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.651 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.651 * [misc]taylor: Taking taylor expansion of k in n 1546942106.651 * [misc]backup-simplify: Simplify k into k 1546942106.651 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.651 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942106.651 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942106.651 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.651 * [misc]backup-simplify: Simplify 2 into 2 1546942106.651 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.651 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.651 * [misc]backup-simplify: Simplify PI into PI 1546942106.651 * [misc]taylor: Taking taylor expansion of n in n 1546942106.651 * [misc]backup-simplify: Simplify 0 into 0 1546942106.651 * [misc]backup-simplify: Simplify 1 into 1 1546942106.651 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.652 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.652 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.652 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.652 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942106.653 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942106.654 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.654 * [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))) 1546942106.655 * [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)))) 1546942106.655 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942106.655 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942106.655 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942106.655 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942106.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.655 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.655 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.655 * [misc]taylor: Taking taylor expansion of k in n 1546942106.655 * [misc]backup-simplify: Simplify k into k 1546942106.655 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.655 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942106.655 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942106.655 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.655 * [misc]backup-simplify: Simplify 2 into 2 1546942106.656 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.656 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.656 * [misc]backup-simplify: Simplify PI into PI 1546942106.656 * [misc]taylor: Taking taylor expansion of n in n 1546942106.656 * [misc]backup-simplify: Simplify 0 into 0 1546942106.656 * [misc]backup-simplify: Simplify 1 into 1 1546942106.656 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.656 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.657 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.657 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.657 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942106.657 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942106.658 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.658 * [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))) 1546942106.659 * [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)))) 1546942106.659 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546942106.659 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546942106.659 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942106.659 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.659 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.659 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.659 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.659 * [misc]taylor: Taking taylor expansion of k in k 1546942106.659 * [misc]backup-simplify: Simplify 0 into 0 1546942106.659 * [misc]backup-simplify: Simplify 1 into 1 1546942106.659 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.659 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546942106.659 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942106.660 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942106.660 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.660 * [misc]backup-simplify: Simplify 2 into 2 1546942106.660 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.660 * [misc]backup-simplify: Simplify PI into PI 1546942106.660 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.660 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.660 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942106.660 * [misc]taylor: Taking taylor expansion of n in k 1546942106.660 * [misc]backup-simplify: Simplify n into n 1546942106.661 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942106.661 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.661 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942106.661 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942106.661 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942106.662 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546942106.662 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546942106.663 * [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)))) 1546942106.663 * [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)))) 1546942106.665 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942106.665 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942106.668 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942106.668 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942106.668 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942106.668 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.669 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.669 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.670 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546942106.671 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942106.671 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.672 * [misc]backup-simplify: Simplify 0 into 0 1546942106.672 * [misc]backup-simplify: Simplify 0 into 0 1546942106.672 * [misc]backup-simplify: Simplify 0 into 0 1546942106.673 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.674 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942106.680 * [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 1546942106.680 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.680 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942106.680 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.681 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.681 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.682 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546942106.684 * [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 1546942106.684 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.684 * [misc]backup-simplify: Simplify 0 into 0 1546942106.684 * [misc]backup-simplify: Simplify 0 into 0 1546942106.684 * [misc]backup-simplify: Simplify 0 into 0 1546942106.684 * [misc]backup-simplify: Simplify 0 into 0 1546942106.686 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.688 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.695 * [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 1546942106.695 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942106.696 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.697 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.698 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546942106.701 * [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 1546942106.701 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.701 * [misc]backup-simplify: Simplify 0 into 0 1546942106.701 * [misc]backup-simplify: Simplify 0 into 0 1546942106.702 * [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))))) 1546942106.702 * [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)) 1546942106.702 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546942106.702 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942106.703 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546942106.703 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546942106.703 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942106.703 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.703 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.703 * [misc]taylor: Taking taylor expansion of k in k 1546942106.703 * [misc]backup-simplify: Simplify 0 into 0 1546942106.703 * [misc]backup-simplify: Simplify 1 into 1 1546942106.703 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.703 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546942106.703 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546942106.703 * [misc]taylor: Taking taylor expansion of -2 in k 1546942106.703 * [misc]backup-simplify: Simplify -2 into -2 1546942106.703 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942106.703 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.703 * [misc]backup-simplify: Simplify PI into PI 1546942106.703 * [misc]taylor: Taking taylor expansion of n in k 1546942106.703 * [misc]backup-simplify: Simplify n into n 1546942106.703 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942106.703 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546942106.704 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546942106.704 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.704 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.704 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546942106.705 * [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))) 1546942106.705 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942106.705 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942106.705 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942106.705 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942106.705 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.705 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.705 * [misc]taylor: Taking taylor expansion of k in n 1546942106.705 * [misc]backup-simplify: Simplify k into k 1546942106.705 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.705 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942106.705 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942106.705 * [misc]taylor: Taking taylor expansion of -2 in n 1546942106.705 * [misc]backup-simplify: Simplify -2 into -2 1546942106.705 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.705 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.705 * [misc]backup-simplify: Simplify PI into PI 1546942106.705 * [misc]taylor: Taking taylor expansion of n in n 1546942106.705 * [misc]backup-simplify: Simplify 0 into 0 1546942106.705 * [misc]backup-simplify: Simplify 1 into 1 1546942106.706 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.706 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942106.706 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942106.706 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.707 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942106.707 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.708 * [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))) 1546942106.708 * [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)))) 1546942106.708 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942106.709 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942106.709 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942106.709 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942106.709 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.709 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.709 * [misc]taylor: Taking taylor expansion of k in n 1546942106.709 * [misc]backup-simplify: Simplify k into k 1546942106.709 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.709 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942106.709 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942106.709 * [misc]taylor: Taking taylor expansion of -2 in n 1546942106.709 * [misc]backup-simplify: Simplify -2 into -2 1546942106.709 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.709 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.709 * [misc]backup-simplify: Simplify PI into PI 1546942106.709 * [misc]taylor: Taking taylor expansion of n in n 1546942106.709 * [misc]backup-simplify: Simplify 0 into 0 1546942106.709 * [misc]backup-simplify: Simplify 1 into 1 1546942106.709 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.710 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942106.710 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942106.710 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.710 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942106.711 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.711 * [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))) 1546942106.712 * [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)))) 1546942106.712 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546942106.712 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546942106.712 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942106.712 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.712 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.712 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.712 * [misc]taylor: Taking taylor expansion of k in k 1546942106.712 * [misc]backup-simplify: Simplify 0 into 0 1546942106.713 * [misc]backup-simplify: Simplify 1 into 1 1546942106.713 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.713 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546942106.713 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546942106.713 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546942106.713 * [misc]taylor: Taking taylor expansion of -2 in k 1546942106.713 * [misc]backup-simplify: Simplify -2 into -2 1546942106.713 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.713 * [misc]backup-simplify: Simplify PI into PI 1546942106.713 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942106.714 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942106.714 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942106.714 * [misc]taylor: Taking taylor expansion of n in k 1546942106.714 * [misc]backup-simplify: Simplify n into n 1546942106.714 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942106.714 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.714 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.714 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942106.715 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546942106.715 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546942106.716 * [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)))) 1546942106.716 * [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)))) 1546942106.718 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942106.718 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942106.720 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546942106.720 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942106.720 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942106.720 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.721 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.721 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546942106.722 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942106.722 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.722 * [misc]backup-simplify: Simplify 0 into 0 1546942106.722 * [misc]backup-simplify: Simplify 0 into 0 1546942106.722 * [misc]backup-simplify: Simplify 0 into 0 1546942106.723 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.724 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942106.726 * [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 1546942106.727 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.727 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942106.727 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.727 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.728 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546942106.729 * [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 1546942106.729 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.729 * [misc]backup-simplify: Simplify 0 into 0 1546942106.729 * [misc]backup-simplify: Simplify 0 into 0 1546942106.729 * [misc]backup-simplify: Simplify 0 into 0 1546942106.729 * [misc]backup-simplify: Simplify 0 into 0 1546942106.730 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.731 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.736 * [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 1546942106.737 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942106.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.737 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.738 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546942106.740 * [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 1546942106.740 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.740 * [misc]backup-simplify: Simplify 0 into 0 1546942106.740 * [misc]backup-simplify: Simplify 0 into 0 1546942106.741 * [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))))) 1546942106.741 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1546942106.741 * [misc]backup-simplify: Simplify (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1546942106.741 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1546942106.741 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546942106.741 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546942106.741 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.741 * [misc]taylor: Taking taylor expansion of k in k 1546942106.741 * [misc]backup-simplify: Simplify 0 into 0 1546942106.741 * [misc]backup-simplify: Simplify 1 into 1 1546942106.741 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.741 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942106.742 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942106.742 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546942106.742 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546942106.742 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546942106.742 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942106.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.742 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942106.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.742 * [misc]taylor: Taking taylor expansion of k in k 1546942106.742 * [misc]backup-simplify: Simplify 0 into 0 1546942106.742 * [misc]backup-simplify: Simplify 1 into 1 1546942106.742 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546942106.742 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546942106.742 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.742 * [misc]backup-simplify: Simplify 2 into 2 1546942106.742 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546942106.742 * [misc]taylor: Taking taylor expansion of n in k 1546942106.742 * [misc]backup-simplify: Simplify n into n 1546942106.742 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.742 * [misc]backup-simplify: Simplify PI into PI 1546942106.742 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546942106.742 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546942106.742 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546942106.742 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942106.742 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.743 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.743 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546942106.743 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546942106.743 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of k in n 1546942106.743 * [misc]backup-simplify: Simplify k into k 1546942106.743 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.743 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546942106.743 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942106.743 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546942106.743 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.743 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.743 * [misc]taylor: Taking taylor expansion of k in n 1546942106.743 * [misc]backup-simplify: Simplify k into k 1546942106.743 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.743 * [misc]backup-simplify: Simplify 2 into 2 1546942106.743 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942106.743 * [misc]taylor: Taking taylor expansion of n in n 1546942106.743 * [misc]backup-simplify: Simplify 0 into 0 1546942106.743 * [misc]backup-simplify: Simplify 1 into 1 1546942106.743 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.743 * [misc]backup-simplify: Simplify PI into PI 1546942106.744 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942106.744 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942106.744 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942106.744 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942106.745 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.745 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942106.745 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942106.745 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942106.745 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.746 * [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)))) 1546942106.746 * [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))))) 1546942106.746 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546942106.746 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546942106.746 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.746 * [misc]taylor: Taking taylor expansion of k in n 1546942106.746 * [misc]backup-simplify: Simplify k into k 1546942106.746 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.746 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546942106.746 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942106.746 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546942106.746 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546942106.746 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546942106.746 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546942106.746 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942106.746 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.746 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942106.746 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.746 * [misc]taylor: Taking taylor expansion of k in n 1546942106.747 * [misc]backup-simplify: Simplify k into k 1546942106.747 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546942106.747 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942106.747 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.747 * [misc]backup-simplify: Simplify 2 into 2 1546942106.747 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942106.747 * [misc]taylor: Taking taylor expansion of n in n 1546942106.747 * [misc]backup-simplify: Simplify 0 into 0 1546942106.747 * [misc]backup-simplify: Simplify 1 into 1 1546942106.747 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.747 * [misc]backup-simplify: Simplify PI into PI 1546942106.747 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942106.747 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942106.747 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942106.748 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942106.748 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.748 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942106.748 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942106.748 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942106.749 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.749 * [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)))) 1546942106.749 * [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))))) 1546942106.750 * [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))) 1546942106.750 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1546942106.750 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546942106.750 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546942106.750 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942106.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.750 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942106.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.750 * [misc]taylor: Taking taylor expansion of k in k 1546942106.750 * [misc]backup-simplify: Simplify 0 into 0 1546942106.750 * [misc]backup-simplify: Simplify 1 into 1 1546942106.750 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546942106.750 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942106.750 * [misc]taylor: Taking taylor expansion of n in k 1546942106.750 * [misc]backup-simplify: Simplify n into n 1546942106.750 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942106.750 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942106.750 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942106.750 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.750 * [misc]backup-simplify: Simplify 2 into 2 1546942106.750 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.750 * [misc]backup-simplify: Simplify PI into PI 1546942106.751 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.751 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.751 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942106.751 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.751 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.752 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.752 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546942106.753 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546942106.753 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546942106.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.753 * [misc]taylor: Taking taylor expansion of k in k 1546942106.753 * [misc]backup-simplify: Simplify 0 into 0 1546942106.753 * [misc]backup-simplify: Simplify 1 into 1 1546942106.753 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.753 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942106.754 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942106.754 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1546942106.754 * [misc]backup-simplify: Simplify 0 into 0 1546942106.755 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942106.756 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942106.759 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942106.760 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942106.760 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.760 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.760 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.761 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546942106.763 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942106.763 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1546942106.763 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.763 * [misc]backup-simplify: Simplify 0 into 0 1546942106.764 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942106.765 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942106.767 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942106.768 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.768 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942106.768 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942106.768 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942106.769 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546942106.770 * [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))))))) 1546942106.772 * [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))))))) 1546942106.773 * [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))))))) 1546942106.775 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.776 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942106.781 * [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 1546942106.781 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942106.781 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.782 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.783 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942106.785 * [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 1546942106.785 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.786 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1546942106.787 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1546942106.787 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.787 * [misc]backup-simplify: Simplify 0 into 0 1546942106.787 * [misc]backup-simplify: Simplify 0 into 0 1546942106.787 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546942106.788 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942106.790 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942106.791 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942106.796 * [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 1546942106.796 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.796 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942106.796 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.796 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.797 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546942106.799 * [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))))) 1546942106.804 * [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)))))))) 1546942106.806 * [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)))))))) 1546942106.808 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942106.810 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546942106.819 * [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 1546942106.820 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1546942106.820 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.821 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546942106.822 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546942106.825 * [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 1546942106.826 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.826 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1546942106.827 * [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 1546942106.827 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.827 * [misc]backup-simplify: Simplify 0 into 0 1546942106.827 * [misc]backup-simplify: Simplify 0 into 0 1546942106.827 * [misc]backup-simplify: Simplify 0 into 0 1546942106.828 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.829 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942106.832 * [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 1546942106.833 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.841 * [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 1546942106.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.842 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546942106.842 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.842 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.843 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546942106.847 * [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))))))) 1546942106.855 * [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)))))))))))))) 1546942106.863 * [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)))))))))))))) 1546942106.874 * [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)))))))))))))))))))))) 1546942106.875 * [misc]backup-simplify: Simplify (* (sqrt (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) (sqrt (/ (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))))) 1546942106.875 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1546942106.875 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546942106.875 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546942106.875 * [misc]taylor: Taking taylor expansion of k in k 1546942106.875 * [misc]backup-simplify: Simplify 0 into 0 1546942106.875 * [misc]backup-simplify: Simplify 1 into 1 1546942106.875 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942106.876 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942106.876 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942106.876 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546942106.876 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546942106.876 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942106.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.876 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.876 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.876 * [misc]taylor: Taking taylor expansion of k in k 1546942106.876 * [misc]backup-simplify: Simplify 0 into 0 1546942106.876 * [misc]backup-simplify: Simplify 1 into 1 1546942106.876 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.877 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546942106.877 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546942106.877 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.877 * [misc]backup-simplify: Simplify 2 into 2 1546942106.877 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942106.877 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.877 * [misc]backup-simplify: Simplify PI into PI 1546942106.877 * [misc]taylor: Taking taylor expansion of n in k 1546942106.877 * [misc]backup-simplify: Simplify n into n 1546942106.877 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942106.877 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546942106.877 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546942106.877 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.877 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942106.878 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942106.878 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546942106.878 * [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)))) 1546942106.878 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546942106.878 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546942106.878 * [misc]taylor: Taking taylor expansion of k in n 1546942106.878 * [misc]backup-simplify: Simplify k into k 1546942106.878 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546942106.878 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546942106.878 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942106.878 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942106.878 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942106.878 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942106.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.878 * [misc]taylor: Taking taylor expansion of k in n 1546942106.879 * [misc]backup-simplify: Simplify k into k 1546942106.879 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.879 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942106.879 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942106.879 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.879 * [misc]backup-simplify: Simplify 2 into 2 1546942106.879 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.879 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.879 * [misc]backup-simplify: Simplify PI into PI 1546942106.879 * [misc]taylor: Taking taylor expansion of n in n 1546942106.879 * [misc]backup-simplify: Simplify 0 into 0 1546942106.879 * [misc]backup-simplify: Simplify 1 into 1 1546942106.879 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.879 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.880 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.880 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.880 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942106.880 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942106.881 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.882 * [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))) 1546942106.882 * [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)))) 1546942106.882 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546942106.882 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546942106.882 * [misc]taylor: Taking taylor expansion of k in n 1546942106.882 * [misc]backup-simplify: Simplify k into k 1546942106.882 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546942106.882 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546942106.882 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942106.883 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546942106.883 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546942106.883 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942106.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.883 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.883 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.883 * [misc]taylor: Taking taylor expansion of k in n 1546942106.883 * [misc]backup-simplify: Simplify k into k 1546942106.883 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.883 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546942106.883 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942106.883 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.883 * [misc]backup-simplify: Simplify 2 into 2 1546942106.883 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.883 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.883 * [misc]backup-simplify: Simplify PI into PI 1546942106.883 * [misc]taylor: Taking taylor expansion of n in n 1546942106.883 * [misc]backup-simplify: Simplify 0 into 0 1546942106.883 * [misc]backup-simplify: Simplify 1 into 1 1546942106.883 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.884 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.884 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.884 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.884 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942106.884 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942106.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.886 * [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))) 1546942106.886 * [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)))) 1546942106.887 * [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)) 1546942106.887 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1546942106.887 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546942106.887 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546942106.887 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942106.887 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.887 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.887 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.888 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.888 * [misc]taylor: Taking taylor expansion of k in k 1546942106.888 * [misc]backup-simplify: Simplify 0 into 0 1546942106.888 * [misc]backup-simplify: Simplify 1 into 1 1546942106.888 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.888 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546942106.888 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546942106.888 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546942106.888 * [misc]taylor: Taking taylor expansion of 2 in k 1546942106.888 * [misc]backup-simplify: Simplify 2 into 2 1546942106.888 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.888 * [misc]backup-simplify: Simplify PI into PI 1546942106.888 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.889 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546942106.889 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942106.889 * [misc]taylor: Taking taylor expansion of n in k 1546942106.889 * [misc]backup-simplify: Simplify n into n 1546942106.889 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942106.889 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.889 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942106.889 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942106.890 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942106.890 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546942106.891 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546942106.891 * [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)))) 1546942106.891 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546942106.891 * [misc]taylor: Taking taylor expansion of k in k 1546942106.891 * [misc]backup-simplify: Simplify 0 into 0 1546942106.891 * [misc]backup-simplify: Simplify 1 into 1 1546942106.892 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942106.892 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942106.893 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1546942106.893 * [misc]backup-simplify: Simplify 0 into 0 1546942106.894 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942106.894 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942106.897 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546942106.897 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942106.897 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942106.898 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.898 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.898 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.899 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546942106.901 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942106.901 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546942106.902 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.902 * [misc]backup-simplify: Simplify 0 into 0 1546942106.902 * [misc]backup-simplify: Simplify 0 into 0 1546942106.902 * [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)))))) 1546942106.903 * [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)))))) 1546942106.904 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.905 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942106.909 * [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 1546942106.909 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.910 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942106.910 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.910 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.910 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.911 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546942106.912 * [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 1546942106.913 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1546942106.913 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546942106.913 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.913 * [misc]backup-simplify: Simplify 0 into 0 1546942106.913 * [misc]backup-simplify: Simplify 0 into 0 1546942106.913 * [misc]backup-simplify: Simplify 0 into 0 1546942106.914 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942106.915 * [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)))))) 1546942106.915 * [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)))))) 1546942106.916 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.917 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.921 * [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 1546942106.921 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942106.922 * [misc]backup-simplify: Simplify (- 0) into 0 1546942106.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.923 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546942106.923 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546942106.925 * [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 1546942106.926 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1546942106.926 * [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 1546942106.926 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.926 * [misc]backup-simplify: Simplify 0 into 0 1546942106.926 * [misc]backup-simplify: Simplify 0 into 0 1546942106.926 * [misc]backup-simplify: Simplify 0 into 0 1546942106.926 * [misc]backup-simplify: Simplify 0 into 0 1546942106.927 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942106.928 * [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)))))) 1546942106.928 * [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)))))) 1546942106.930 * [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)))))))) 1546942106.930 * [misc]backup-simplify: Simplify (* (sqrt (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) (sqrt (/ (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))) 1546942106.930 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1546942106.930 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546942106.930 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942106.930 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546942106.930 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546942106.930 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942106.930 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.930 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.930 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.930 * [misc]taylor: Taking taylor expansion of k in k 1546942106.930 * [misc]backup-simplify: Simplify 0 into 0 1546942106.930 * [misc]backup-simplify: Simplify 1 into 1 1546942106.930 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.930 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.930 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546942106.931 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546942106.931 * [misc]taylor: Taking taylor expansion of -2 in k 1546942106.931 * [misc]backup-simplify: Simplify -2 into -2 1546942106.931 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546942106.931 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.931 * [misc]backup-simplify: Simplify PI into PI 1546942106.931 * [misc]taylor: Taking taylor expansion of n in k 1546942106.931 * [misc]backup-simplify: Simplify n into n 1546942106.931 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546942106.931 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546942106.931 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546942106.931 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.931 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.931 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546942106.931 * [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))) 1546942106.931 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546942106.931 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546942106.931 * [misc]taylor: Taking taylor expansion of -1 in k 1546942106.931 * [misc]backup-simplify: Simplify -1 into -1 1546942106.931 * [misc]taylor: Taking taylor expansion of k in k 1546942106.931 * [misc]backup-simplify: Simplify 0 into 0 1546942106.931 * [misc]backup-simplify: Simplify 1 into 1 1546942106.931 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546942106.932 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942106.932 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546942106.932 * [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)))) 1546942106.932 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of k in n 1546942106.932 * [misc]backup-simplify: Simplify k into k 1546942106.932 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.932 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of -2 in n 1546942106.932 * [misc]backup-simplify: Simplify -2 into -2 1546942106.932 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.932 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.932 * [misc]backup-simplify: Simplify PI into PI 1546942106.933 * [misc]taylor: Taking taylor expansion of n in n 1546942106.933 * [misc]backup-simplify: Simplify 0 into 0 1546942106.933 * [misc]backup-simplify: Simplify 1 into 1 1546942106.933 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.933 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942106.933 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942106.933 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.933 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942106.934 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.934 * [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))) 1546942106.934 * [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)))) 1546942106.934 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546942106.934 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546942106.935 * [misc]taylor: Taking taylor expansion of -1 in n 1546942106.935 * [misc]backup-simplify: Simplify -1 into -1 1546942106.935 * [misc]taylor: Taking taylor expansion of k in n 1546942106.935 * [misc]backup-simplify: Simplify k into k 1546942106.935 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546942106.935 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546942106.935 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546942106.935 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546942106.935 * [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))) 1546942106.935 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546942106.935 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942106.935 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546942106.935 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546942106.935 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942106.935 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942106.935 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.935 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942106.935 * [misc]taylor: Taking taylor expansion of k in n 1546942106.935 * [misc]backup-simplify: Simplify k into k 1546942106.935 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942106.935 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942106.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.936 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546942106.936 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942106.936 * [misc]taylor: Taking taylor expansion of -2 in n 1546942106.936 * [misc]backup-simplify: Simplify -2 into -2 1546942106.936 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942106.936 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.936 * [misc]backup-simplify: Simplify PI into PI 1546942106.936 * [misc]taylor: Taking taylor expansion of n in n 1546942106.936 * [misc]backup-simplify: Simplify 0 into 0 1546942106.936 * [misc]backup-simplify: Simplify 1 into 1 1546942106.936 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942106.936 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942106.936 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942106.936 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942106.936 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942106.937 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.937 * [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))) 1546942106.938 * [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)))) 1546942106.938 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546942106.938 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546942106.938 * [misc]taylor: Taking taylor expansion of -1 in n 1546942106.938 * [misc]backup-simplify: Simplify -1 into -1 1546942106.938 * [misc]taylor: Taking taylor expansion of k in n 1546942106.938 * [misc]backup-simplify: Simplify k into k 1546942106.938 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546942106.938 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546942106.938 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546942106.938 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546942106.938 * [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))) 1546942106.938 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1546942106.938 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546942106.938 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546942106.938 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942106.938 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942106.938 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.939 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942106.939 * [misc]taylor: Taking taylor expansion of k in k 1546942106.939 * [misc]backup-simplify: Simplify 0 into 0 1546942106.939 * [misc]backup-simplify: Simplify 1 into 1 1546942106.939 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942106.939 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942106.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942106.939 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546942106.939 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546942106.939 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546942106.939 * [misc]taylor: Taking taylor expansion of -2 in k 1546942106.939 * [misc]backup-simplify: Simplify -2 into -2 1546942106.939 * [misc]taylor: Taking taylor expansion of PI in k 1546942106.939 * [misc]backup-simplify: Simplify PI into PI 1546942106.939 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942106.939 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546942106.939 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942106.939 * [misc]taylor: Taking taylor expansion of n in k 1546942106.939 * [misc]backup-simplify: Simplify n into n 1546942106.939 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942106.940 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942106.940 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942106.940 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942106.940 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546942106.940 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546942106.941 * [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)))) 1546942106.941 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546942106.941 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546942106.941 * [misc]taylor: Taking taylor expansion of -1 in k 1546942106.941 * [misc]backup-simplify: Simplify -1 into -1 1546942106.941 * [misc]taylor: Taking taylor expansion of k in k 1546942106.941 * [misc]backup-simplify: Simplify 0 into 0 1546942106.941 * [misc]backup-simplify: Simplify 1 into 1 1546942106.941 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546942106.941 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942106.941 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546942106.942 * [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))))) 1546942106.942 * [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))))) 1546942106.943 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942106.943 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942106.946 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546942106.946 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942106.946 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942106.947 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.947 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.948 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546942106.949 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942106.950 * [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 1546942106.950 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.950 * [misc]backup-simplify: Simplify 0 into 0 1546942106.950 * [misc]backup-simplify: Simplify 0 into 0 1546942106.951 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546942106.952 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942106.953 * [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)))))) 1546942106.953 * [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)))))) 1546942106.955 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.957 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942106.962 * [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 1546942106.962 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.962 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942106.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942106.963 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546942106.964 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546942106.966 * [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 1546942106.966 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942106.967 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546942106.968 * [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 1546942106.968 * [misc]taylor: Taking taylor expansion of 0 in k 1546942106.968 * [misc]backup-simplify: Simplify 0 into 0 1546942106.968 * [misc]backup-simplify: Simplify 0 into 0 1546942106.968 * [misc]backup-simplify: Simplify 0 into 0 1546942106.968 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942106.970 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942106.971 * [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)))))) 1546942106.973 * [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)))))) 1546942106.975 * [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))))))))))) 1546942106.976 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) 1546942106.976 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546942106.976 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546942106.976 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942106.976 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.976 * [misc]backup-simplify: Simplify 2 into 2 1546942106.976 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942106.976 * [misc]taylor: Taking taylor expansion of n in n 1546942106.976 * [misc]backup-simplify: Simplify 0 into 0 1546942106.976 * [misc]backup-simplify: Simplify 1 into 1 1546942106.976 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.976 * [misc]backup-simplify: Simplify PI into PI 1546942106.976 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546942106.976 * [misc]taylor: Taking taylor expansion of 2 in n 1546942106.976 * [misc]backup-simplify: Simplify 2 into 2 1546942106.976 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942106.976 * [misc]taylor: Taking taylor expansion of n in n 1546942106.976 * [misc]backup-simplify: Simplify 0 into 0 1546942106.976 * [misc]backup-simplify: Simplify 1 into 1 1546942106.976 * [misc]taylor: Taking taylor expansion of PI in n 1546942106.976 * [misc]backup-simplify: Simplify PI into PI 1546942106.977 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942106.977 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942106.977 * [misc]backup-simplify: Simplify 0 into 0 1546942106.978 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942106.978 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546942106.978 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942106.980 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942106.981 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546942106.981 * [misc]backup-simplify: Simplify 0 into 0 1546942106.982 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942106.984 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546942106.984 * [misc]backup-simplify: Simplify 0 into 0 1546942106.986 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942106.988 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546942106.988 * [misc]backup-simplify: Simplify 0 into 0 1546942106.990 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546942106.993 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546942106.993 * [misc]backup-simplify: Simplify 0 into 0 1546942106.997 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546942107.000 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546942107.000 * [misc]backup-simplify: Simplify 0 into 0 1546942107.004 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546942107.008 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546942107.008 * [misc]backup-simplify: Simplify 0 into 0 1546942107.009 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546942107.009 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546942107.009 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546942107.009 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942107.009 * [misc]taylor: Taking taylor expansion of 2 in n 1546942107.009 * [misc]backup-simplify: Simplify 2 into 2 1546942107.009 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942107.009 * [misc]taylor: Taking taylor expansion of PI in n 1546942107.009 * [misc]backup-simplify: Simplify PI into PI 1546942107.009 * [misc]taylor: Taking taylor expansion of n in n 1546942107.009 * [misc]backup-simplify: Simplify 0 into 0 1546942107.009 * [misc]backup-simplify: Simplify 1 into 1 1546942107.010 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942107.010 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546942107.010 * [misc]taylor: Taking taylor expansion of 2 in n 1546942107.010 * [misc]backup-simplify: Simplify 2 into 2 1546942107.010 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942107.010 * [misc]taylor: Taking taylor expansion of PI in n 1546942107.010 * [misc]backup-simplify: Simplify PI into PI 1546942107.010 * [misc]taylor: Taking taylor expansion of n in n 1546942107.010 * [misc]backup-simplify: Simplify 0 into 0 1546942107.010 * [misc]backup-simplify: Simplify 1 into 1 1546942107.010 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942107.011 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942107.011 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546942107.012 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942107.012 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546942107.013 * [misc]backup-simplify: Simplify 0 into 0 1546942107.014 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942107.015 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942107.015 * [misc]backup-simplify: Simplify 0 into 0 1546942107.016 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942107.018 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942107.018 * [misc]backup-simplify: Simplify 0 into 0 1546942107.020 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942107.022 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942107.022 * [misc]backup-simplify: Simplify 0 into 0 1546942107.024 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942107.027 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546942107.027 * [misc]backup-simplify: Simplify 0 into 0 1546942107.029 * [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 1546942107.033 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546942107.033 * [misc]backup-simplify: Simplify 0 into 0 1546942107.033 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546942107.033 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546942107.033 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546942107.034 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942107.034 * [misc]taylor: Taking taylor expansion of -2 in n 1546942107.034 * [misc]backup-simplify: Simplify -2 into -2 1546942107.034 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942107.034 * [misc]taylor: Taking taylor expansion of PI in n 1546942107.034 * [misc]backup-simplify: Simplify PI into PI 1546942107.034 * [misc]taylor: Taking taylor expansion of n in n 1546942107.034 * [misc]backup-simplify: Simplify 0 into 0 1546942107.034 * [misc]backup-simplify: Simplify 1 into 1 1546942107.034 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942107.034 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546942107.034 * [misc]taylor: Taking taylor expansion of -2 in n 1546942107.034 * [misc]backup-simplify: Simplify -2 into -2 1546942107.034 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546942107.034 * [misc]taylor: Taking taylor expansion of PI in n 1546942107.034 * [misc]backup-simplify: Simplify PI into PI 1546942107.034 * [misc]taylor: Taking taylor expansion of n in n 1546942107.034 * [misc]backup-simplify: Simplify 0 into 0 1546942107.034 * [misc]backup-simplify: Simplify 1 into 1 1546942107.034 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546942107.035 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942107.035 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546942107.036 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546942107.037 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546942107.037 * [misc]backup-simplify: Simplify 0 into 0 1546942107.038 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942107.039 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546942107.039 * [misc]backup-simplify: Simplify 0 into 0 1546942107.040 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942107.041 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546942107.041 * [misc]backup-simplify: Simplify 0 into 0 1546942107.042 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942107.043 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546942107.043 * [misc]backup-simplify: Simplify 0 into 0 1546942107.044 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942107.046 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546942107.046 * [misc]backup-simplify: Simplify 0 into 0 1546942107.047 * [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 1546942107.049 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546942107.049 * [misc]backup-simplify: Simplify 0 into 0 1546942107.049 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546942107.049 * * * [misc]progress: simplifying candidates 1546942107.049 * * * * [misc]progress: [ 1 / 134 ] simplifiying candidate # 1546942107.049 * * * * [misc]progress: [ 2 / 134 ] simplifiying candidate # 1546942107.050 * * * * [misc]progress: [ 3 / 134 ] simplifiying candidate # 1546942107.050 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546942107.050 * * [misc]simplify: iters left: 6 (11 enodes) 1546942107.052 * * [misc]simplify: iters left: 5 (21 enodes) 1546942107.055 * * [misc]simplify: iters left: 4 (47 enodes) 1546942107.064 * * [misc]simplify: iters left: 3 (113 enodes) 1546942107.108 * * [misc]simplify: iters left: 2 (328 enodes) 1546942107.389 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546942107.389 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))))) 1546942107.389 * * * * [misc]progress: [ 4 / 134 ] simplifiying candidate # 1546942107.389 * * * * [misc]progress: [ 5 / 134 ] simplifiying candidate # 1546942107.389 * [enter]simplify: Simplifying (* PI (* n 2)) 1546942107.389 * * [misc]simplify: iters left: 4 (5 enodes) 1546942107.391 * * [misc]simplify: iters left: 3 (9 enodes) 1546942107.394 * * [misc]simplify: iters left: 2 (15 enodes) 1546942107.398 * * [misc]simplify: iters left: 1 (17 enodes) 1546942107.402 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546942107.402 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))))) 1546942107.402 * * * * [misc]progress: [ 6 / 134 ] simplifiying candidate # 1546942107.403 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546942107.403 * * [misc]simplify: iters left: 5 (8 enodes) 1546942107.405 * * [misc]simplify: iters left: 4 (12 enodes) 1546942107.409 * * [misc]simplify: iters left: 3 (18 enodes) 1546942107.414 * * [misc]simplify: iters left: 2 (20 enodes) 1546942107.419 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546942107.419 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))))) 1546942107.419 * * * * [misc]progress: [ 7 / 134 ] simplifiying candidate # 1546942107.419 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546942107.419 * * [misc]simplify: iters left: 5 (6 enodes) 1546942107.421 * * [misc]simplify: iters left: 4 (8 enodes) 1546942107.424 * * [misc]simplify: iters left: 3 (11 enodes) 1546942107.427 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546942107.427 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))))) 1546942107.427 * * * * [misc]progress: [ 8 / 134 ] simplifiying candidate # 1546942107.427 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546942107.427 * * [misc]simplify: iters left: 5 (6 enodes) 1546942107.429 * * [misc]simplify: iters left: 4 (8 enodes) 1546942107.431 * * [misc]simplify: iters left: 3 (11 enodes) 1546942107.434 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546942107.434 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))))) 1546942107.434 * * * * [misc]progress: [ 9 / 134 ] simplifiying candidate # 1546942107.434 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546942107.435 * * [misc]simplify: iters left: 4 (5 enodes) 1546942107.436 * * [misc]simplify: iters left: 3 (7 enodes) 1546942107.438 * * [misc]simplify: iters left: 2 (10 enodes) 1546942107.441 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546942107.441 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.441 * * * * [misc]progress: [ 10 / 134 ] simplifiying candidate # 1546942107.441 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942107.441 * * [misc]simplify: iters left: 5 (9 enodes) 1546942107.444 * * [misc]simplify: iters left: 4 (15 enodes) 1546942107.448 * * [misc]simplify: iters left: 3 (21 enodes) 1546942107.454 * * [misc]simplify: iters left: 2 (22 enodes) 1546942107.459 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942107.459 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))))) 1546942107.459 * * * * [misc]progress: [ 11 / 134 ] simplifiying candidate # 1546942107.460 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942107.460 * * [misc]simplify: iters left: 5 (9 enodes) 1546942107.463 * * [misc]simplify: iters left: 4 (15 enodes) 1546942107.467 * * [misc]simplify: iters left: 3 (21 enodes) 1546942107.472 * * [misc]simplify: iters left: 2 (22 enodes) 1546942107.478 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942107.478 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))))) 1546942107.478 * * * * [misc]progress: [ 12 / 134 ] simplifiying candidate # 1546942107.478 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546942107.478 * * [misc]simplify: iters left: 5 (7 enodes) 1546942107.480 * * [misc]simplify: iters left: 4 (9 enodes) 1546942107.486 * * [misc]simplify: iters left: 3 (12 enodes) 1546942107.489 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546942107.490 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1546942107.490 * * * * [misc]progress: [ 13 / 134 ] simplifiying candidate # 1546942107.490 * * * * [misc]progress: [ 14 / 134 ] simplifiying candidate # 1546942107.490 * * * * [misc]progress: [ 15 / 134 ] simplifiying candidate # 1546942107.490 * * * * [misc]progress: [ 16 / 134 ] simplifiying candidate # 1546942107.490 * * * * [misc]progress: [ 17 / 134 ] simplifiying candidate # 1546942107.490 * * * * [misc]progress: [ 18 / 134 ] simplifiying candidate # 1546942107.490 * * * * [misc]progress: [ 19 / 134 ] simplifiying candidate # 1546942107.490 * * * * [misc]progress: [ 20 / 134 ] simplifiying candidate # 1546942107.490 * * * * [misc]progress: [ 21 / 134 ] simplifiying candidate # 1546942107.490 * * * * [misc]progress: [ 22 / 134 ] simplifiying candidate # 1546942107.491 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546942107.491 * * [misc]simplify: iters left: 6 (11 enodes) 1546942107.494 * * [misc]simplify: iters left: 5 (21 enodes) 1546942107.498 * * [misc]simplify: iters left: 4 (47 enodes) 1546942107.507 * * [misc]simplify: iters left: 3 (113 enodes) 1546942107.545 * * [misc]simplify: iters left: 2 (328 enodes) 1546942107.810 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546942107.811 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (sqrt (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.811 * * * * [misc]progress: [ 23 / 134 ] simplifiying candidate # 1546942107.811 * * * * [misc]progress: [ 24 / 134 ] simplifiying candidate # 1546942107.811 * [enter]simplify: Simplifying (* PI (* n 2)) 1546942107.811 * * [misc]simplify: iters left: 4 (5 enodes) 1546942107.813 * * [misc]simplify: iters left: 3 (9 enodes) 1546942107.815 * * [misc]simplify: iters left: 2 (15 enodes) 1546942107.820 * * [misc]simplify: iters left: 1 (17 enodes) 1546942107.823 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546942107.824 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (sqrt (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.824 * * * * [misc]progress: [ 25 / 134 ] simplifiying candidate # 1546942107.824 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546942107.824 * * [misc]simplify: iters left: 5 (8 enodes) 1546942107.826 * * [misc]simplify: iters left: 4 (12 enodes) 1546942107.830 * * [misc]simplify: iters left: 3 (18 enodes) 1546942107.835 * * [misc]simplify: iters left: 2 (20 enodes) 1546942107.840 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546942107.840 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (sqrt (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.840 * * * * [misc]progress: [ 26 / 134 ] simplifiying candidate # 1546942107.840 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546942107.840 * * [misc]simplify: iters left: 5 (6 enodes) 1546942107.842 * * [misc]simplify: iters left: 4 (8 enodes) 1546942107.845 * * [misc]simplify: iters left: 3 (11 enodes) 1546942107.848 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546942107.848 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (sqrt (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.848 * * * * [misc]progress: [ 27 / 134 ] simplifiying candidate # 1546942107.848 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546942107.848 * * [misc]simplify: iters left: 5 (6 enodes) 1546942107.850 * * [misc]simplify: iters left: 4 (8 enodes) 1546942107.856 * * [misc]simplify: iters left: 3 (11 enodes) 1546942107.859 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546942107.859 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (sqrt (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.859 * * * * [misc]progress: [ 28 / 134 ] simplifiying candidate # 1546942107.859 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546942107.859 * * [misc]simplify: iters left: 4 (5 enodes) 1546942107.860 * * [misc]simplify: iters left: 3 (7 enodes) 1546942107.862 * * [misc]simplify: iters left: 2 (10 enodes) 1546942107.865 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546942107.865 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (sqrt (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.865 * * * * [misc]progress: [ 29 / 134 ] simplifiying candidate # 1546942107.865 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942107.865 * * [misc]simplify: iters left: 5 (9 enodes) 1546942107.868 * * [misc]simplify: iters left: 4 (15 enodes) 1546942107.871 * * [misc]simplify: iters left: 3 (21 enodes) 1546942107.876 * * [misc]simplify: iters left: 2 (22 enodes) 1546942107.881 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942107.881 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.881 * * * * [misc]progress: [ 30 / 134 ] simplifiying candidate # 1546942107.882 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546942107.882 * * [misc]simplify: iters left: 5 (9 enodes) 1546942107.884 * * [misc]simplify: iters left: 4 (15 enodes) 1546942107.888 * * [misc]simplify: iters left: 3 (21 enodes) 1546942107.893 * * [misc]simplify: iters left: 2 (22 enodes) 1546942107.898 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546942107.898 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.898 * * * * [misc]progress: [ 31 / 134 ] simplifiying candidate # 1546942107.898 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546942107.898 * * [misc]simplify: iters left: 5 (7 enodes) 1546942107.900 * * [misc]simplify: iters left: 4 (9 enodes) 1546942107.902 * * [misc]simplify: iters left: 3 (12 enodes) 1546942107.905 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546942107.905 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (sqrt (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942107.905 * * * * [misc]progress: [ 32 / 134 ] simplifiying candidate # 1546942107.906 * * * * [misc]progress: [ 33 / 134 ] simplifiying candidate # 1546942107.906 * * * * [misc]progress: [ 34 / 134 ] simplifiying candidate # 1546942107.906 * * * * [misc]progress: [ 35 / 134 ] simplifiying candidate # 1546942107.906 * * * * [misc]progress: [ 36 / 134 ] simplifiying candidate # 1546942107.906 * * * * [misc]progress: [ 37 / 134 ] simplifiying candidate # 1546942107.906 * * * * [misc]progress: [ 38 / 134 ] simplifiying candidate # 1546942107.906 * * * * [misc]progress: [ 39 / 134 ] simplifiying candidate # 1546942107.906 * * * * [misc]progress: [ 40 / 134 ] simplifiying candidate # 1546942107.906 * * * * [misc]progress: [ 41 / 134 ] simplifiying candidate # 1546942107.906 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546942107.906 * * [misc]simplify: iters left: 6 (12 enodes) 1546942107.910 * * [misc]simplify: iters left: 5 (18 enodes) 1546942107.914 * * [misc]simplify: iters left: 4 (27 enodes) 1546942107.921 * * [misc]simplify: iters left: 3 (29 enodes) 1546942107.927 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546942107.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) (+ 1/2 1/2))) 1546942107.928 * [enter]simplify: Simplifying (+ 1/2 1/2) 1546942107.928 * * [misc]simplify: iters left: 2 (2 enodes) 1546942107.929 * * [misc]simplify: iters left: 1 (3 enodes) 1546942107.929 * [exit]simplify: Simplified to 1 1546942107.930 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1)) 1546942107.930 * * * * [misc]progress: [ 42 / 134 ] simplifiying candidate # 1546942107.930 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942107.930 * * [misc]simplify: iters left: 6 (13 enodes) 1546942107.933 * * [misc]simplify: iters left: 5 (19 enodes) 1546942107.938 * * [misc]simplify: iters left: 4 (28 enodes) 1546942107.945 * * [misc]simplify: iters left: 3 (30 enodes) 1546942107.951 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1546942107.952 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1))) 1546942107.952 * [enter]simplify: Simplifying (+ 1 1) 1546942107.952 * * [misc]simplify: iters left: 2 (2 enodes) 1546942107.953 * * [misc]simplify: iters left: 1 (5 enodes) 1546942107.954 * [exit]simplify: Simplified to 2 1546942107.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 2)) 1546942107.954 * * * * [misc]progress: [ 43 / 134 ] simplifiying candidate # 1546942107.954 * [enter]simplify: Simplifying (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942107.954 * * [misc]simplify: iters left: 6 (13 enodes) 1546942107.958 * * [misc]simplify: iters left: 5 (23 enodes) 1546942107.964 * * [misc]simplify: iters left: 4 (38 enodes) 1546942107.973 * * [misc]simplify: iters left: 3 (46 enodes) 1546942107.984 * * [misc]simplify: iters left: 2 (49 enodes) 1546942107.997 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) k) 1546942107.997 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) k) 1/2)) 1546942107.997 * * * * [misc]progress: [ 44 / 134 ] simplifiying candidate # 1546942107.997 * [enter]simplify: Simplifying (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546942107.998 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.000 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.003 * * [misc]simplify: iters left: 4 (30 enodes) 1546942108.010 * * [misc]simplify: iters left: 3 (31 enodes) 1546942108.018 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546942108.018 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1)) 1546942108.018 * * * * [misc]progress: [ 45 / 134 ] simplifiying candidate # 1546942108.018 * * * * [misc]progress: [ 46 / 134 ] simplifiying candidate # 1546942108.018 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.018 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.023 * * [misc]simplify: iters left: 5 (19 enodes) 1546942108.028 * * [misc]simplify: iters left: 4 (28 enodes) 1546942108.036 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.044 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.044 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1))) 1546942108.044 * * * * [misc]progress: [ 47 / 134 ] simplifiying candidate # 1546942108.044 * * * * [misc]progress: [ 48 / 134 ] simplifiying candidate # 1546942108.044 * [enter]simplify: Simplifying (+ (log (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.045 * * [misc]simplify: iters left: 6 (15 enodes) 1546942108.049 * * [misc]simplify: iters left: 5 (21 enodes) 1546942108.055 * * [misc]simplify: iters left: 4 (30 enodes) 1546942108.064 * * [misc]simplify: iters left: 3 (31 enodes) 1546942108.071 * [exit]simplify: Simplified to (+ (log (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.071 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (log (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))))) 1546942108.072 * * * * [misc]progress: [ 49 / 134 ] simplifiying candidate # 1546942108.072 * * * * [misc]progress: [ 50 / 134 ] simplifiying candidate # 1546942108.072 * * * * [misc]progress: [ 51 / 134 ] simplifiying candidate # 1546942108.072 * [enter]simplify: Simplifying (* (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.072 * * [misc]simplify: iters left: 6 (16 enodes) 1546942108.077 * * [misc]simplify: iters left: 5 (27 enodes) 1546942108.086 * * [misc]simplify: iters left: 4 (53 enodes) 1546942108.102 * * [misc]simplify: iters left: 3 (103 enodes) 1546942108.119 * * [misc]simplify: iters left: 2 (162 enodes) 1546942108.149 * * [misc]simplify: iters left: 1 (265 enodes) 1546942108.235 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942108.235 * [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)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1546942108.235 * * * * [misc]progress: [ 52 / 134 ] simplifiying candidate # 1546942108.235 * * * * [misc]progress: [ 53 / 134 ] simplifiying candidate # 1546942108.235 * * * * [misc]progress: [ 54 / 134 ] simplifiying candidate # 1546942108.236 * [enter]simplify: Simplifying (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.236 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.240 * * [misc]simplify: iters left: 5 (23 enodes) 1546942108.247 * * [misc]simplify: iters left: 4 (38 enodes) 1546942108.257 * * [misc]simplify: iters left: 3 (46 enodes) 1546942108.269 * * [misc]simplify: iters left: 2 (49 enodes) 1546942108.275 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) k) 1546942108.275 * [misc]simplify: Simplified (2 1) to (λ (k n) (sqrt (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) k))) 1546942108.275 * * * * [misc]progress: [ 55 / 134 ] simplifiying candidate # 1546942108.275 * * * * [misc]progress: [ 56 / 134 ] simplifiying candidate # 1546942108.275 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546942108.275 * * [misc]simplify: iters left: 5 (10 enodes) 1546942108.277 * * [misc]simplify: iters left: 4 (16 enodes) 1546942108.279 * * [misc]simplify: iters left: 3 (25 enodes) 1546942108.282 * * [misc]simplify: iters left: 2 (26 enodes) 1546942108.285 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546942108.285 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.286 * [enter]simplify: Simplifying (sqrt k) 1546942108.286 * * [misc]simplify: iters left: 1 (2 enodes) 1546942108.286 * [exit]simplify: Simplified to (sqrt k) 1546942108.286 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.286 * * * * [misc]progress: [ 57 / 134 ] simplifiying candidate # 1546942108.286 * [enter]simplify: Simplifying (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546942108.286 * * [misc]simplify: iters left: 6 (12 enodes) 1546942108.288 * * [misc]simplify: iters left: 5 (18 enodes) 1546942108.290 * * [misc]simplify: iters left: 4 (28 enodes) 1546942108.294 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.300 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546942108.300 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt k))))) 1546942108.301 * [enter]simplify: Simplifying (* (sqrt (sqrt k)) (sqrt (sqrt k))) 1546942108.301 * * [misc]simplify: iters left: 4 (4 enodes) 1546942108.302 * [exit]simplify: Simplified to (sqrt k) 1546942108.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.302 * * * * [misc]progress: [ 58 / 134 ] simplifiying candidate # 1546942108.302 * * * * [misc]progress: [ 59 / 134 ] simplifiying candidate # 1546942108.303 * [enter]simplify: Simplifying (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.303 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.307 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.313 * * [misc]simplify: iters left: 4 (29 enodes) 1546942108.320 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.328 * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.328 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.328 * * * * [misc]progress: [ 60 / 134 ] simplifiying candidate # 1546942108.328 * [enter]simplify: Simplifying (sqrt (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.328 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.332 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.338 * * [misc]simplify: iters left: 4 (29 enodes) 1546942108.346 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.354 * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.354 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) (sqrt (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.354 * * * * [misc]progress: [ 61 / 134 ] simplifiying candidate # 1546942108.354 * [enter]simplify: Simplifying (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.354 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.358 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.364 * * [misc]simplify: iters left: 4 (29 enodes) 1546942108.371 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.379 * [exit]simplify: Simplified to (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.379 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.379 * * * * [misc]progress: [ 62 / 134 ] simplifiying candidate # 1546942108.379 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))) 1546942108.380 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.384 * * [misc]simplify: iters left: 5 (19 enodes) 1546942108.390 * * [misc]simplify: iters left: 4 (25 enodes) 1546942108.397 * * [misc]simplify: iters left: 3 (26 enodes) 1546942108.404 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))) 1546942108.404 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))) 1546942108.404 * * * * [misc]progress: [ 63 / 134 ] simplifiying candidate # 1546942108.404 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1546942108.404 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.408 * * [misc]simplify: iters left: 5 (19 enodes) 1546942108.414 * * [misc]simplify: iters left: 4 (25 enodes) 1546942108.420 * * [misc]simplify: iters left: 3 (26 enodes) 1546942108.427 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1546942108.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1546942108.427 * * * * [misc]progress: [ 64 / 134 ] simplifiying candidate # 1546942108.427 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1546942108.428 * * [misc]simplify: iters left: 6 (12 enodes) 1546942108.431 * * [misc]simplify: iters left: 5 (18 enodes) 1546942108.436 * * [misc]simplify: iters left: 4 (24 enodes) 1546942108.443 * * [misc]simplify: iters left: 3 (25 enodes) 1546942108.449 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1546942108.449 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) 1))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1546942108.449 * * * * [misc]progress: [ 65 / 134 ] simplifiying candidate # 1546942108.450 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))) 1546942108.450 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.454 * * [misc]simplify: iters left: 5 (19 enodes) 1546942108.459 * * [misc]simplify: iters left: 4 (25 enodes) 1546942108.466 * * [misc]simplify: iters left: 3 (26 enodes) 1546942108.472 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))) 1546942108.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))) 1546942108.473 * * * * [misc]progress: [ 66 / 134 ] simplifiying candidate # 1546942108.473 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1546942108.473 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.477 * * [misc]simplify: iters left: 5 (19 enodes) 1546942108.482 * * [misc]simplify: iters left: 4 (25 enodes) 1546942108.489 * * [misc]simplify: iters left: 3 (26 enodes) 1546942108.496 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1546942108.496 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1546942108.496 * * * * [misc]progress: [ 67 / 134 ] simplifiying candidate # 1546942108.497 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1546942108.497 * * [misc]simplify: iters left: 6 (12 enodes) 1546942108.500 * * [misc]simplify: iters left: 5 (18 enodes) 1546942108.506 * * [misc]simplify: iters left: 4 (24 enodes) 1546942108.512 * * [misc]simplify: iters left: 3 (25 enodes) 1546942108.517 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1546942108.517 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) 1))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1546942108.517 * * * * [misc]progress: [ 68 / 134 ] simplifiying candidate # 1546942108.517 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546942108.517 * * [misc]simplify: iters left: 6 (12 enodes) 1546942108.519 * * [misc]simplify: iters left: 5 (15 enodes) 1546942108.521 * * [misc]simplify: iters left: 4 (18 enodes) 1546942108.523 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546942108.523 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546942108.523 * * * * [misc]progress: [ 69 / 134 ] simplifiying candidate # 1546942108.523 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546942108.523 * * [misc]simplify: iters left: 6 (12 enodes) 1546942108.526 * * [misc]simplify: iters left: 5 (15 enodes) 1546942108.528 * * [misc]simplify: iters left: 4 (18 enodes) 1546942108.530 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546942108.530 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546942108.530 * * * * [misc]progress: [ 70 / 134 ] simplifiying candidate # 1546942108.530 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.530 * * [misc]simplify: iters left: 6 (11 enodes) 1546942108.532 * * [misc]simplify: iters left: 5 (14 enodes) 1546942108.534 * * [misc]simplify: iters left: 4 (17 enodes) 1546942108.536 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.536 * * * * [misc]progress: [ 71 / 134 ] simplifiying candidate # 1546942108.536 * [enter]simplify: Simplifying (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546942108.536 * * [misc]simplify: iters left: 6 (15 enodes) 1546942108.539 * * [misc]simplify: iters left: 5 (21 enodes) 1546942108.541 * * [misc]simplify: iters left: 4 (30 enodes) 1546942108.546 * * [misc]simplify: iters left: 3 (31 enodes) 1546942108.552 * [exit]simplify: Simplified to (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546942108.552 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1546942108.552 * * * * [misc]progress: [ 72 / 134 ] simplifiying candidate # 1546942108.552 * [enter]simplify: Simplifying (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546942108.552 * * [misc]simplify: iters left: 6 (15 enodes) 1546942108.557 * * [misc]simplify: iters left: 5 (21 enodes) 1546942108.563 * * [misc]simplify: iters left: 4 (30 enodes) 1546942108.569 * * [misc]simplify: iters left: 3 (31 enodes) 1546942108.573 * [exit]simplify: Simplified to (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546942108.573 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1546942108.573 * * * * [misc]progress: [ 73 / 134 ] simplifiying candidate # 1546942108.573 * [enter]simplify: Simplifying (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))) 1546942108.573 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.575 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.578 * * [misc]simplify: iters left: 4 (29 enodes) 1546942108.582 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.585 * [exit]simplify: Simplified to (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))) 1546942108.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1))) (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))))) 1546942108.585 * * * * [misc]progress: [ 74 / 134 ] simplifiying candidate # 1546942108.586 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546942108.586 * * [misc]simplify: iters left: 6 (15 enodes) 1546942108.588 * * [misc]simplify: iters left: 5 (21 enodes) 1546942108.591 * * [misc]simplify: iters left: 4 (30 enodes) 1546942108.595 * * [misc]simplify: iters left: 3 (31 enodes) 1546942108.598 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546942108.598 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1546942108.598 * * * * [misc]progress: [ 75 / 134 ] simplifiying candidate # 1546942108.599 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546942108.599 * * [misc]simplify: iters left: 6 (15 enodes) 1546942108.603 * * [misc]simplify: iters left: 5 (21 enodes) 1546942108.609 * * [misc]simplify: iters left: 4 (30 enodes) 1546942108.617 * * [misc]simplify: iters left: 3 (31 enodes) 1546942108.625 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546942108.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1546942108.625 * * * * [misc]progress: [ 76 / 134 ] simplifiying candidate # 1546942108.626 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))) 1546942108.626 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.630 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.635 * * [misc]simplify: iters left: 4 (29 enodes) 1546942108.643 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.650 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))) 1546942108.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1))) (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))))) 1546942108.650 * * * * [misc]progress: [ 77 / 134 ] simplifiying candidate # 1546942108.651 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546942108.651 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.655 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.661 * * [misc]simplify: iters left: 4 (29 enodes) 1546942108.668 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.675 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546942108.675 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546942108.675 * * * * [misc]progress: [ 78 / 134 ] simplifiying candidate # 1546942108.676 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546942108.676 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.680 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.684 * * [misc]simplify: iters left: 4 (29 enodes) 1546942108.688 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.692 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546942108.692 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546942108.692 * * * * [misc]progress: [ 79 / 134 ] simplifiying candidate # 1546942108.692 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.692 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.694 * * [misc]simplify: iters left: 5 (19 enodes) 1546942108.697 * * [misc]simplify: iters left: 4 (28 enodes) 1546942108.700 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.704 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.704 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 1))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.704 * * * * [misc]progress: [ 80 / 134 ] simplifiying candidate # 1546942108.704 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.705 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.706 * * [misc]simplify: iters left: 5 (19 enodes) 1546942108.709 * * [misc]simplify: iters left: 4 (28 enodes) 1546942108.713 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.716 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.716 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt 1)) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.716 * * * * [misc]progress: [ 81 / 134 ] simplifiying candidate # 1546942108.717 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt k))) 1546942108.717 * * [misc]simplify: iters left: 4 (5 enodes) 1546942108.718 * * [misc]simplify: iters left: 3 (7 enodes) 1546942108.718 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1546942108.719 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (/ 1 (sqrt k))))) 1546942108.719 * * * * [misc]progress: [ 82 / 134 ] simplifiying candidate # 1546942108.719 * [enter]simplify: Simplifying (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.719 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.721 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.724 * * [misc]simplify: iters left: 4 (29 enodes) 1546942108.729 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.736 * [exit]simplify: Simplified to (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.736 * * * * [misc]progress: [ 83 / 134 ] simplifiying candidate # 1546942108.737 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.737 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.741 * * [misc]simplify: iters left: 5 (19 enodes) 1546942108.747 * * [misc]simplify: iters left: 4 (28 enodes) 1546942108.754 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.762 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1546942108.762 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.762 * * * * [misc]progress: [ 84 / 134 ] simplifiying candidate # 1546942108.762 * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.762 * * [misc]simplify: iters left: 6 (15 enodes) 1546942108.767 * * [misc]simplify: iters left: 5 (21 enodes) 1546942108.773 * * [misc]simplify: iters left: 4 (30 enodes) 1546942108.781 * * [misc]simplify: iters left: 3 (31 enodes) 1546942108.789 * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.789 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.789 * * * * [misc]progress: [ 85 / 134 ] simplifiying candidate # 1546942108.789 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942108.789 * * [misc]simplify: iters left: 6 (15 enodes) 1546942108.794 * * [misc]simplify: iters left: 5 (22 enodes) 1546942108.800 * * [misc]simplify: iters left: 4 (31 enodes) 1546942108.808 * * [misc]simplify: iters left: 3 (33 enodes) 1546942108.817 * [exit]simplify: Simplified to (fabs (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.817 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fabs (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.817 * * * * [misc]progress: [ 86 / 134 ] simplifiying candidate # 1546942108.817 * [enter]simplify: Simplifying (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.817 * * [misc]simplify: iters left: 6 (14 enodes) 1546942108.821 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.827 * * [misc]simplify: iters left: 4 (29 enodes) 1546942108.834 * * [misc]simplify: iters left: 3 (30 enodes) 1546942108.842 * [exit]simplify: Simplified to (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546942108.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.842 * * * * [misc]progress: [ 87 / 134 ] simplifiying candidate # 1546942108.842 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942108.842 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.846 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.849 * * [misc]simplify: iters left: 4 (26 enodes) 1546942108.853 * * [misc]simplify: iters left: 3 (28 enodes) 1546942108.857 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942108.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.857 * * * * [misc]progress: [ 88 / 134 ] simplifiying candidate # 1546942108.857 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))) 1546942108.857 * * [misc]simplify: iters left: 6 (12 enodes) 1546942108.859 * * [misc]simplify: iters left: 5 (17 enodes) 1546942108.861 * * [misc]simplify: iters left: 4 (23 enodes) 1546942108.864 * * [misc]simplify: iters left: 3 (24 enodes) 1546942108.867 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) 1546942108.867 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.867 * * * * [misc]progress: [ 89 / 134 ] simplifiying candidate # 1546942108.867 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) 1)) 1546942108.867 * * [misc]simplify: iters left: 6 (10 enodes) 1546942108.869 * * [misc]simplify: iters left: 5 (17 enodes) 1546942108.871 * * [misc]simplify: iters left: 4 (25 enodes) 1546942108.874 * * [misc]simplify: iters left: 3 (26 enodes) 1546942108.877 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1546942108.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.877 * * * * [misc]progress: [ 90 / 134 ] simplifiying candidate # 1546942108.877 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942108.877 * * [misc]simplify: iters left: 6 (13 enodes) 1546942108.879 * * [misc]simplify: iters left: 5 (20 enodes) 1546942108.881 * * [misc]simplify: iters left: 4 (26 enodes) 1546942108.886 * * [misc]simplify: iters left: 3 (28 enodes) 1546942108.894 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942108.894 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.894 * * * * [misc]progress: [ 91 / 134 ] simplifiying candidate # 1546942108.894 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))) 1546942108.894 * * [misc]simplify: iters left: 6 (12 enodes) 1546942108.898 * * [misc]simplify: iters left: 5 (17 enodes) 1546942108.902 * * [misc]simplify: iters left: 4 (23 enodes) 1546942108.908 * * [misc]simplify: iters left: 3 (24 enodes) 1546942108.914 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) 1546942108.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.914 * * * * [misc]progress: [ 92 / 134 ] simplifiying candidate # 1546942108.915 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) 1)) 1546942108.915 * * [misc]simplify: iters left: 6 (10 enodes) 1546942108.918 * * [misc]simplify: iters left: 5 (17 enodes) 1546942108.923 * * [misc]simplify: iters left: 4 (25 enodes) 1546942108.929 * * [misc]simplify: iters left: 3 (26 enodes) 1546942108.933 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1546942108.933 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.933 * * * * [misc]progress: [ 93 / 134 ] simplifiying candidate # 1546942108.933 * [enter]simplify: Simplifying (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942108.933 * * [misc]simplify: iters left: 6 (12 enodes) 1546942108.935 * * [misc]simplify: iters left: 5 (16 enodes) 1546942108.937 * * [misc]simplify: iters left: 4 (19 enodes) 1546942108.940 * [exit]simplify: Simplified to (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942108.940 * [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))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.940 * * * * [misc]progress: [ 94 / 134 ] simplifiying candidate # 1546942108.940 * [enter]simplify: Simplifying (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546942108.940 * * [misc]simplify: iters left: 6 (11 enodes) 1546942108.942 * * [misc]simplify: iters left: 5 (13 enodes) 1546942108.943 * * [misc]simplify: iters left: 4 (16 enodes) 1546942108.946 * [exit]simplify: Simplified to (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546942108.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.946 * * * * [misc]progress: [ 95 / 134 ] simplifiying candidate # 1546942108.946 * [enter]simplify: Simplifying (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1)) 1546942108.946 * * [misc]simplify: iters left: 6 (10 enodes) 1546942108.947 * * [misc]simplify: iters left: 5 (14 enodes) 1546942108.950 * * [misc]simplify: iters left: 4 (19 enodes) 1546942108.953 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546942108.953 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.953 * * * * [misc]progress: [ 96 / 134 ] simplifiying candidate # 1546942108.953 * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942108.953 * * [misc]simplify: iters left: 6 (17 enodes) 1546942108.956 * * [misc]simplify: iters left: 5 (29 enodes) 1546942108.960 * * [misc]simplify: iters left: 4 (48 enodes) 1546942108.969 * * [misc]simplify: iters left: 3 (52 enodes) 1546942108.982 * * [misc]simplify: iters left: 2 (55 enodes) 1546942108.995 * [exit]simplify: Simplified to (fabs (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546942108.995 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fabs (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942108.996 * * * * [misc]progress: [ 97 / 134 ] simplifiying candidate # 1546942108.996 * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1546942108.996 * * [misc]simplify: iters left: 6 (16 enodes) 1546942109.001 * * [misc]simplify: iters left: 5 (24 enodes) 1546942109.008 * * [misc]simplify: iters left: 4 (35 enodes) 1546942109.014 * * [misc]simplify: iters left: 3 (37 enodes) 1546942109.019 * [exit]simplify: Simplified to (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 1546942109.019 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (* (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942109.019 * * * * [misc]progress: [ 98 / 134 ] simplifiying candidate # 1546942109.019 * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1)) 1546942109.019 * * [misc]simplify: iters left: 6 (15 enodes) 1546942109.022 * * [misc]simplify: iters left: 5 (25 enodes) 1546942109.026 * * [misc]simplify: iters left: 4 (41 enodes) 1546942109.030 * * [misc]simplify: iters left: 3 (45 enodes) 1546942109.039 * * [misc]simplify: iters left: 2 (50 enodes) 1546942109.045 * [exit]simplify: Simplified to (fabs (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942109.045 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fabs (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942109.045 * * * * [misc]progress: [ 99 / 134 ] simplifiying candidate # 1546942109.045 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942109.045 * * [misc]simplify: iters left: 6 (16 enodes) 1546942109.047 * * [misc]simplify: iters left: 5 (24 enodes) 1546942109.052 * * [misc]simplify: iters left: 4 (33 enodes) 1546942109.056 * * [misc]simplify: iters left: 3 (34 enodes) 1546942109.060 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942109.060 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942109.060 * * * * [misc]progress: [ 100 / 134 ] simplifiying candidate # 1546942109.060 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546942109.061 * * [misc]simplify: iters left: 6 (15 enodes) 1546942109.063 * * [misc]simplify: iters left: 5 (21 enodes) 1546942109.065 * * [misc]simplify: iters left: 4 (30 enodes) 1546942109.069 * * [misc]simplify: iters left: 3 (31 enodes) 1546942109.073 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546942109.073 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942109.073 * * * * [misc]progress: [ 101 / 134 ] simplifiying candidate # 1546942109.073 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)) 1546942109.073 * * [misc]simplify: iters left: 6 (14 enodes) 1546942109.076 * * [misc]simplify: iters left: 5 (22 enodes) 1546942109.082 * * [misc]simplify: iters left: 4 (33 enodes) 1546942109.090 * * [misc]simplify: iters left: 3 (35 enodes) 1546942109.098 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546942109.098 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942109.098 * * * * [misc]progress: [ 102 / 134 ] simplifiying candidate # 1546942109.099 * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546942109.099 * * [misc]simplify: iters left: 6 (7 enodes) 1546942109.101 * * [misc]simplify: iters left: 5 (11 enodes) 1546942109.104 * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))) 1546942109.104 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (/ 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))) (sqrt k)))))) 1546942109.104 * * * * [misc]progress: [ 103 / 134 ] simplifiying candidate # 1546942109.104 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (sqrt k)))) 1546942109.104 * * [misc]simplify: iters left: 5 (6 enodes) 1546942109.105 * * [misc]simplify: iters left: 4 (8 enodes) 1546942109.106 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt k)))) 1546942109.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ 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))) (sqrt k)))))) 1546942109.106 * * * * [misc]progress: [ 104 / 134 ] simplifiying candidate # 1546942109.106 * [enter]simplify: Simplifying (sqrt (/ 1 1)) 1546942109.106 * * [misc]simplify: iters left: 3 (3 enodes) 1546942109.107 * * [misc]simplify: iters left: 2 (5 enodes) 1546942109.107 * [exit]simplify: Simplified to 1 1546942109.108 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942109.108 * * * * [misc]progress: [ 105 / 134 ] simplifiying candidate # 1546942109.108 * [enter]simplify: Simplifying (sqrt 1) 1546942109.108 * * [misc]simplify: iters left: 1 (2 enodes) 1546942109.108 * [exit]simplify: Simplified to 1 1546942109.108 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942109.108 * * * * [misc]progress: [ 106 / 134 ] simplifiying candidate # 1546942109.109 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546942109.109 * * [misc]simplify: iters left: 6 (11 enodes) 1546942109.110 * * [misc]simplify: iters left: 5 (17 enodes) 1546942109.113 * * [misc]simplify: iters left: 4 (26 enodes) 1546942109.116 * * [misc]simplify: iters left: 3 (27 enodes) 1546942109.120 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546942109.120 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942109.120 * * * * [misc]progress: [ 107 / 134 ] simplifiying candidate # 1546942109.120 * [enter]simplify: Simplifying (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546942109.120 * * [misc]simplify: iters left: 6 (14 enodes) 1546942109.122 * * [misc]simplify: iters left: 5 (20 enodes) 1546942109.125 * * [misc]simplify: iters left: 4 (29 enodes) 1546942109.129 * * [misc]simplify: iters left: 3 (30 enodes) 1546942109.133 * [exit]simplify: Simplified to (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546942109.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1546942109.133 * * * * [misc]progress: [ 108 / 134 ] simplifiying candidate # 1546942109.133 * * * * [misc]progress: [ 109 / 134 ] simplifiying candidate # 1546942109.133 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546942109.133 * * [misc]simplify: iters left: 2 (3 enodes) 1546942109.133 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546942109.133 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1546942109.133 * * * * [misc]progress: [ 110 / 134 ] simplifiying candidate # 1546942109.134 * [enter]simplify: Simplifying (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546942109.134 * * [misc]simplify: iters left: 6 (15 enodes) 1546942109.136 * * [misc]simplify: iters left: 5 (22 enodes) 1546942109.140 * * [misc]simplify: iters left: 4 (31 enodes) 1546942109.148 * * [misc]simplify: iters left: 3 (33 enodes) 1546942109.157 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546942109.157 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt k)))) 1546942109.157 * * * * [misc]progress: [ 111 / 134 ] simplifiying candidate # 1546942109.157 * * * * [misc]progress: [ 112 / 134 ] simplifiying candidate # 1546942109.157 * * * * [misc]progress: [ 113 / 134 ] simplifiying candidate # 1546942109.157 * * * * [misc]progress: [ 114 / 134 ] simplifiying candidate # 1546942109.157 * * * * [misc]progress: [ 115 / 134 ] simplifiying candidate # 1546942109.157 * * * * [misc]progress: [ 116 / 134 ] simplifiying candidate # 1546942109.158 * * * * [misc]progress: [ 117 / 134 ] simplifiying candidate # 1546942109.158 * * * * [misc]progress: [ 118 / 134 ] simplifiying candidate # 1546942109.158 * * * * [misc]progress: [ 119 / 134 ] simplifiying candidate # 1546942109.158 * * * * [misc]progress: [ 120 / 134 ] simplifiying candidate # 1546942109.158 * * * * [misc]progress: [ 121 / 134 ] simplifiying candidate # 1546942109.158 * * * * [misc]progress: [ 122 / 134 ] simplifiying candidate # 1546942109.158 * * * * [misc]progress: [ 123 / 134 ] simplifiying candidate # 1546942109.158 * [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))))) 1546942109.159 * * [misc]simplify: iters left: 6 (37 enodes) 1546942109.174 * * [misc]simplify: iters left: 5 (108 enodes) 1546942109.211 * * [misc]simplify: iters left: 4 (368 enodes) 1546942109.479 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546942109.479 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))))) 1546942109.479 * * * * [misc]progress: [ 124 / 134 ] simplifiying candidate # 1546942109.479 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546942109.479 * * [misc]simplify: iters left: 6 (15 enodes) 1546942109.483 * * [misc]simplify: iters left: 5 (33 enodes) 1546942109.488 * * [misc]simplify: iters left: 4 (64 enodes) 1546942109.500 * * [misc]simplify: iters left: 3 (179 enodes) 1546942109.621 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546942109.621 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))))) 1546942109.621 * * * * [misc]progress: [ 125 / 134 ] simplifiying candidate # 1546942109.621 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546942109.621 * * [misc]simplify: iters left: 6 (15 enodes) 1546942109.627 * * [misc]simplify: iters left: 5 (30 enodes) 1546942109.637 * * [misc]simplify: iters left: 4 (65 enodes) 1546942109.658 * * [misc]simplify: iters left: 3 (208 enodes) 1546942109.760 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546942109.760 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))))) 1546942109.761 * * * * [misc]progress: [ 126 / 134 ] simplifiying candidate # 1546942109.761 * [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))))) 1546942109.761 * * [misc]simplify: iters left: 6 (37 enodes) 1546942109.769 * * [misc]simplify: iters left: 5 (108 enodes) 1546942109.814 * * [misc]simplify: iters left: 4 (368 enodes) 1546942110.055 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546942110.055 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (sqrt (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942110.055 * * * * [misc]progress: [ 127 / 134 ] simplifiying candidate # 1546942110.055 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546942110.056 * * [misc]simplify: iters left: 6 (15 enodes) 1546942110.059 * * [misc]simplify: iters left: 5 (33 enodes) 1546942110.064 * * [misc]simplify: iters left: 4 (64 enodes) 1546942110.076 * * [misc]simplify: iters left: 3 (179 enodes) 1546942110.140 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546942110.140 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (sqrt (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942110.140 * * * * [misc]progress: [ 128 / 134 ] simplifiying candidate # 1546942110.140 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546942110.140 * * [misc]simplify: iters left: 6 (15 enodes) 1546942110.143 * * [misc]simplify: iters left: 5 (30 enodes) 1546942110.148 * * [misc]simplify: iters left: 4 (65 enodes) 1546942110.172 * * [misc]simplify: iters left: 3 (208 enodes) 1546942110.309 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546942110.309 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (sqrt (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1546942110.309 * * * * [misc]progress: [ 129 / 134 ] simplifiying candidate # 1546942110.310 * [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)))))))))))))))))))))) 1546942110.310 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546942110.310 * * * * [misc]progress: [ 130 / 134 ] simplifiying candidate # 1546942110.310 * [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)))))))) 1546942110.310 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546942110.310 * * * * [misc]progress: [ 131 / 134 ] simplifiying candidate # 1546942110.311 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1546942110.311 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546942110.311 * * * * [misc]progress: [ 132 / 134 ] simplifiying candidate # 1546942110.311 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546942110.311 * * [misc]simplify: iters left: 4 (5 enodes) 1546942110.313 * * [misc]simplify: iters left: 3 (9 enodes) 1546942110.315 * * [misc]simplify: iters left: 2 (15 enodes) 1546942110.319 * * [misc]simplify: iters left: 1 (17 enodes) 1546942110.323 * [exit]simplify: Simplified to (* (* PI n) 2) 1546942110.323 * [misc]simplify: Simplified (2 2 1 1 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))) (sqrt k))))) 1546942110.323 * * * * [misc]progress: [ 133 / 134 ] simplifiying candidate # 1546942110.324 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546942110.324 * * [misc]simplify: iters left: 4 (5 enodes) 1546942110.325 * * [misc]simplify: iters left: 3 (9 enodes) 1546942110.328 * * [misc]simplify: iters left: 2 (15 enodes) 1546942110.332 * * [misc]simplify: iters left: 1 (17 enodes) 1546942110.335 * [exit]simplify: Simplified to (* (* PI n) 2) 1546942110.336 * [misc]simplify: Simplified (2 2 1 1 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))) (sqrt k))))) 1546942110.336 * * * * [misc]progress: [ 134 / 134 ] simplifiying candidate # 1546942110.336 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546942110.336 * * [misc]simplify: iters left: 4 (5 enodes) 1546942110.337 * * [misc]simplify: iters left: 3 (9 enodes) 1546942110.338 * * [misc]simplify: iters left: 2 (15 enodes) 1546942110.340 * * [misc]simplify: iters left: 1 (17 enodes) 1546942110.342 * [exit]simplify: Simplified to (* (* PI n) 2) 1546942110.342 * [misc]simplify: Simplified (2 2 1 1 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))) (sqrt k))))) 1546942110.342 * * * [misc]progress: adding candidates to table 1546942112.213 * * [misc]progress: iteration 4 / 4 1546942112.213 * * * [misc]progress: picking best candidate 1546942112.238 * * * * [misc]pick: Picked # 1546942112.238 * * * [misc]progress: localizing error 1546942112.253 * * * [misc]progress: generating rewritten candidates 1546942112.253 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1546942112.254 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) 1546942112.255 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546942112.260 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546942112.268 * * * [misc]progress: generating series expansions 1546942112.268 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1546942112.269 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1546942112.269 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1546942112.269 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546942112.269 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546942112.269 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546942112.269 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.269 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.269 * [misc]taylor: Taking taylor expansion of k in k 1546942112.269 * [misc]backup-simplify: Simplify 0 into 0 1546942112.269 * [misc]backup-simplify: Simplify 1 into 1 1546942112.269 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.269 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.269 * [misc]backup-simplify: Simplify PI into PI 1546942112.269 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.269 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.269 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.270 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.270 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546942112.270 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546942112.270 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546942112.270 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546942112.270 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546942112.270 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.270 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.270 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.270 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.270 * [misc]taylor: Taking taylor expansion of k in k 1546942112.271 * [misc]backup-simplify: Simplify 0 into 0 1546942112.271 * [misc]backup-simplify: Simplify 1 into 1 1546942112.271 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.271 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.271 * [misc]backup-simplify: Simplify PI into PI 1546942112.271 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.271 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.271 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.271 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.271 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546942112.272 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546942112.272 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1546942112.275 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546942112.275 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942112.275 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.275 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.276 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546942112.279 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546942112.280 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1546942112.284 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546942112.285 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942112.285 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.285 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.287 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546942112.291 * [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))) 1546942112.292 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1546942112.295 * [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)))) 1546942112.295 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.295 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1546942112.295 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942112.295 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546942112.295 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546942112.295 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.296 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.296 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.296 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.296 * [misc]taylor: Taking taylor expansion of k in k 1546942112.296 * [misc]backup-simplify: Simplify 0 into 0 1546942112.296 * [misc]backup-simplify: Simplify 1 into 1 1546942112.296 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.296 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.296 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.296 * [misc]backup-simplify: Simplify PI into PI 1546942112.296 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.296 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.297 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.297 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.297 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546942112.298 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.298 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942112.298 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546942112.298 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546942112.298 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.298 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.298 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.298 * [misc]taylor: Taking taylor expansion of k in k 1546942112.298 * [misc]backup-simplify: Simplify 0 into 0 1546942112.298 * [misc]backup-simplify: Simplify 1 into 1 1546942112.298 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.298 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.298 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.298 * [misc]backup-simplify: Simplify PI into PI 1546942112.298 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.299 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.299 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.299 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.299 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546942112.300 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.300 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.300 * [misc]backup-simplify: Simplify 0 into 0 1546942112.300 * [misc]backup-simplify: Simplify 0 into 0 1546942112.300 * [misc]backup-simplify: Simplify 0 into 0 1546942112.300 * [misc]backup-simplify: Simplify 0 into 0 1546942112.300 * [misc]backup-simplify: Simplify 0 into 0 1546942112.300 * [misc]backup-simplify: Simplify 0 into 0 1546942112.300 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1546942112.301 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.301 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1546942112.301 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942112.301 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546942112.301 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546942112.301 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.301 * [misc]taylor: Taking taylor expansion of k in k 1546942112.301 * [misc]backup-simplify: Simplify 0 into 0 1546942112.301 * [misc]backup-simplify: Simplify 1 into 1 1546942112.301 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.301 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.301 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.301 * [misc]backup-simplify: Simplify PI into PI 1546942112.302 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.302 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.302 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.302 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546942112.303 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.303 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942112.303 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546942112.303 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546942112.303 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.303 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.303 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.303 * [misc]taylor: Taking taylor expansion of k in k 1546942112.303 * [misc]backup-simplify: Simplify 0 into 0 1546942112.303 * [misc]backup-simplify: Simplify 1 into 1 1546942112.303 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.303 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.303 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.303 * [misc]backup-simplify: Simplify PI into PI 1546942112.304 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.304 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.304 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.304 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546942112.305 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.305 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.305 * [misc]backup-simplify: Simplify 0 into 0 1546942112.305 * [misc]backup-simplify: Simplify 0 into 0 1546942112.305 * [misc]backup-simplify: Simplify 0 into 0 1546942112.305 * [misc]backup-simplify: Simplify 0 into 0 1546942112.305 * [misc]backup-simplify: Simplify 0 into 0 1546942112.305 * [misc]backup-simplify: Simplify 0 into 0 1546942112.305 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1546942112.305 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) 1546942112.306 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1546942112.306 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1546942112.306 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546942112.306 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546942112.306 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546942112.306 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.306 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.306 * [misc]taylor: Taking taylor expansion of k in k 1546942112.306 * [misc]backup-simplify: Simplify 0 into 0 1546942112.306 * [misc]backup-simplify: Simplify 1 into 1 1546942112.306 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546942112.306 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546942112.306 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.306 * [misc]backup-simplify: Simplify 2 into 2 1546942112.306 * [misc]taylor: Taking taylor expansion of n in k 1546942112.306 * [misc]backup-simplify: Simplify n into n 1546942112.306 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546942112.306 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546942112.306 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.307 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.307 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.307 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546942112.307 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546942112.307 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546942112.307 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546942112.307 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546942112.307 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942112.307 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.307 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942112.307 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.307 * [misc]taylor: Taking taylor expansion of k in n 1546942112.307 * [misc]backup-simplify: Simplify k into k 1546942112.307 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546942112.307 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546942112.307 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.307 * [misc]backup-simplify: Simplify 2 into 2 1546942112.307 * [misc]taylor: Taking taylor expansion of n in n 1546942112.308 * [misc]backup-simplify: Simplify 0 into 0 1546942112.308 * [misc]backup-simplify: Simplify 1 into 1 1546942112.308 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942112.308 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546942112.308 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.308 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942112.308 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942112.308 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942112.309 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.309 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546942112.309 * [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)))) 1546942112.309 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546942112.309 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546942112.309 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546942112.309 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942112.309 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.309 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942112.309 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.310 * [misc]taylor: Taking taylor expansion of k in n 1546942112.310 * [misc]backup-simplify: Simplify k into k 1546942112.310 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546942112.310 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546942112.310 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.310 * [misc]backup-simplify: Simplify 2 into 2 1546942112.310 * [misc]taylor: Taking taylor expansion of n in n 1546942112.310 * [misc]backup-simplify: Simplify 0 into 0 1546942112.310 * [misc]backup-simplify: Simplify 1 into 1 1546942112.310 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942112.310 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546942112.310 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.310 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942112.310 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942112.311 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942112.311 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.311 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546942112.311 * [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)))) 1546942112.312 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1546942112.312 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1546942112.312 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1546942112.312 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546942112.312 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.312 * [misc]backup-simplify: Simplify 2 into 2 1546942112.312 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.312 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942112.312 * [misc]taylor: Taking taylor expansion of n in k 1546942112.312 * [misc]backup-simplify: Simplify n into n 1546942112.312 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942112.312 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.312 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.312 * [misc]taylor: Taking taylor expansion of k in k 1546942112.312 * [misc]backup-simplify: Simplify 0 into 0 1546942112.312 * [misc]backup-simplify: Simplify 1 into 1 1546942112.313 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1546942112.313 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.313 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.313 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.313 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1546942112.313 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546942112.314 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546942112.314 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546942112.317 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546942112.317 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942112.317 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.317 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.317 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.318 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1546942112.319 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.319 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.319 * [misc]backup-simplify: Simplify 0 into 0 1546942112.319 * [misc]backup-simplify: Simplify 0 into 0 1546942112.319 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942112.319 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.320 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.322 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546942112.323 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942112.323 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.323 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1546942112.324 * [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))))) 1546942112.325 * [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))))) 1546942112.325 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546942112.329 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546942112.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942112.330 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.330 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.331 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1546942112.333 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546942112.333 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.333 * [misc]backup-simplify: Simplify 0 into 0 1546942112.333 * [misc]backup-simplify: Simplify 0 into 0 1546942112.333 * [misc]backup-simplify: Simplify 0 into 0 1546942112.333 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942112.333 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.333 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.338 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546942112.340 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942112.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.340 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1546942112.342 * [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))))) 1546942112.343 * [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))))) 1546942112.346 * [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))))) 1546942112.346 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.346 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546942112.346 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942112.346 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546942112.346 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546942112.347 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.347 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.347 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.347 * [misc]taylor: Taking taylor expansion of k in k 1546942112.347 * [misc]backup-simplify: Simplify 0 into 0 1546942112.347 * [misc]backup-simplify: Simplify 1 into 1 1546942112.347 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.347 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546942112.347 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546942112.347 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.347 * [misc]backup-simplify: Simplify 2 into 2 1546942112.347 * [misc]taylor: Taking taylor expansion of n in k 1546942112.347 * [misc]backup-simplify: Simplify n into n 1546942112.347 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546942112.347 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546942112.347 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.348 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.348 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.348 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546942112.348 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.348 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.348 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546942112.348 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546942112.348 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.348 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.348 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.348 * [misc]taylor: Taking taylor expansion of k in n 1546942112.348 * [misc]backup-simplify: Simplify k into k 1546942112.349 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.349 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546942112.349 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546942112.349 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.349 * [misc]backup-simplify: Simplify 2 into 2 1546942112.349 * [misc]taylor: Taking taylor expansion of n in n 1546942112.349 * [misc]backup-simplify: Simplify 0 into 0 1546942112.349 * [misc]backup-simplify: Simplify 1 into 1 1546942112.349 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546942112.349 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.349 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.349 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.349 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.350 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.350 * [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))) 1546942112.350 * [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)))) 1546942112.350 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.350 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546942112.350 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546942112.350 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.351 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.351 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.351 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.351 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.351 * [misc]taylor: Taking taylor expansion of k in n 1546942112.351 * [misc]backup-simplify: Simplify k into k 1546942112.351 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.351 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546942112.351 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546942112.351 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.351 * [misc]backup-simplify: Simplify 2 into 2 1546942112.351 * [misc]taylor: Taking taylor expansion of n in n 1546942112.351 * [misc]backup-simplify: Simplify 0 into 0 1546942112.351 * [misc]backup-simplify: Simplify 1 into 1 1546942112.351 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546942112.351 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.351 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.351 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.352 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.352 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.352 * [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))) 1546942112.353 * [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)))) 1546942112.353 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1546942112.353 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1546942112.353 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.353 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.353 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.353 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.353 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.353 * [misc]taylor: Taking taylor expansion of k in k 1546942112.353 * [misc]backup-simplify: Simplify 0 into 0 1546942112.353 * [misc]backup-simplify: Simplify 1 into 1 1546942112.353 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.353 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1546942112.353 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546942112.353 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.353 * [misc]backup-simplify: Simplify 2 into 2 1546942112.353 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.354 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942112.354 * [misc]taylor: Taking taylor expansion of n in k 1546942112.354 * [misc]backup-simplify: Simplify n into n 1546942112.354 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942112.354 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.354 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.358 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.358 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942112.358 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1546942112.358 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1546942112.359 * [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)))) 1546942112.359 * [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)))) 1546942112.359 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546942112.362 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546942112.362 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.362 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942112.362 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.362 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.363 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.363 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546942112.364 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.364 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.364 * [misc]backup-simplify: Simplify 0 into 0 1546942112.365 * [misc]backup-simplify: Simplify 0 into 0 1546942112.365 * [misc]backup-simplify: Simplify 0 into 0 1546942112.365 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.369 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546942112.369 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.370 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942112.370 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.370 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.370 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.371 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1546942112.373 * [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 1546942112.373 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.373 * [misc]backup-simplify: Simplify 0 into 0 1546942112.373 * [misc]backup-simplify: Simplify 0 into 0 1546942112.373 * [misc]backup-simplify: Simplify 0 into 0 1546942112.373 * [misc]backup-simplify: Simplify 0 into 0 1546942112.373 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.380 * [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 1546942112.380 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.381 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942112.381 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.381 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.381 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.382 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1546942112.385 * [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 1546942112.385 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.385 * [misc]backup-simplify: Simplify 0 into 0 1546942112.385 * [misc]backup-simplify: Simplify 0 into 0 1546942112.386 * [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)))) 1546942112.386 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.386 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546942112.386 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942112.386 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546942112.386 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546942112.386 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.386 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.386 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.386 * [misc]taylor: Taking taylor expansion of k in k 1546942112.386 * [misc]backup-simplify: Simplify 0 into 0 1546942112.386 * [misc]backup-simplify: Simplify 1 into 1 1546942112.386 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.386 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546942112.386 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546942112.386 * [misc]taylor: Taking taylor expansion of -2 in k 1546942112.386 * [misc]backup-simplify: Simplify -2 into -2 1546942112.386 * [misc]taylor: Taking taylor expansion of n in k 1546942112.387 * [misc]backup-simplify: Simplify n into n 1546942112.387 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546942112.387 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546942112.387 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.387 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.387 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546942112.387 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.387 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.387 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546942112.387 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546942112.387 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.387 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.387 * [misc]taylor: Taking taylor expansion of k in n 1546942112.388 * [misc]backup-simplify: Simplify k into k 1546942112.388 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.388 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.388 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546942112.388 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546942112.388 * [misc]taylor: Taking taylor expansion of -2 in n 1546942112.388 * [misc]backup-simplify: Simplify -2 into -2 1546942112.388 * [misc]taylor: Taking taylor expansion of n in n 1546942112.388 * [misc]backup-simplify: Simplify 0 into 0 1546942112.388 * [misc]backup-simplify: Simplify 1 into 1 1546942112.388 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546942112.388 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.388 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.388 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.389 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.389 * [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))) 1546942112.390 * [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)))) 1546942112.390 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.390 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546942112.390 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546942112.390 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.390 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.390 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.390 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.390 * [misc]taylor: Taking taylor expansion of k in n 1546942112.390 * [misc]backup-simplify: Simplify k into k 1546942112.390 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.390 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.390 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546942112.390 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546942112.390 * [misc]taylor: Taking taylor expansion of -2 in n 1546942112.390 * [misc]backup-simplify: Simplify -2 into -2 1546942112.390 * [misc]taylor: Taking taylor expansion of n in n 1546942112.390 * [misc]backup-simplify: Simplify 0 into 0 1546942112.390 * [misc]backup-simplify: Simplify 1 into 1 1546942112.391 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546942112.391 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.391 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.391 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.391 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.392 * [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))) 1546942112.392 * [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)))) 1546942112.392 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1546942112.392 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1546942112.392 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.392 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.392 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.392 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.392 * [misc]taylor: Taking taylor expansion of k in k 1546942112.392 * [misc]backup-simplify: Simplify 0 into 0 1546942112.392 * [misc]backup-simplify: Simplify 1 into 1 1546942112.392 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.392 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.393 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1546942112.393 * [misc]taylor: Taking taylor expansion of (log -2) in k 1546942112.393 * [misc]taylor: Taking taylor expansion of -2 in k 1546942112.393 * [misc]backup-simplify: Simplify -2 into -2 1546942112.393 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.393 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942112.393 * [misc]taylor: Taking taylor expansion of n in k 1546942112.393 * [misc]backup-simplify: Simplify n into n 1546942112.393 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942112.393 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.393 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.393 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942112.394 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1546942112.394 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1546942112.394 * [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)))) 1546942112.394 * [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)))) 1546942112.395 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546942112.397 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546942112.397 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.398 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942112.398 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.398 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.399 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546942112.400 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.400 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.400 * [misc]backup-simplify: Simplify 0 into 0 1546942112.400 * [misc]backup-simplify: Simplify 0 into 0 1546942112.400 * [misc]backup-simplify: Simplify 0 into 0 1546942112.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.405 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1546942112.405 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.405 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942112.406 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.406 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.406 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1546942112.409 * [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 1546942112.409 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.409 * [misc]backup-simplify: Simplify 0 into 0 1546942112.409 * [misc]backup-simplify: Simplify 0 into 0 1546942112.409 * [misc]backup-simplify: Simplify 0 into 0 1546942112.409 * [misc]backup-simplify: Simplify 0 into 0 1546942112.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.416 * [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 1546942112.416 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.417 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942112.417 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.417 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.418 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1546942112.421 * [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 1546942112.422 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.422 * [misc]backup-simplify: Simplify 0 into 0 1546942112.422 * [misc]backup-simplify: Simplify 0 into 0 1546942112.422 * [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))))) 1546942112.422 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546942112.422 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1546942112.422 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1546942112.422 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1546942112.423 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546942112.423 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546942112.423 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546942112.423 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.423 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.423 * [misc]taylor: Taking taylor expansion of k in k 1546942112.423 * [misc]backup-simplify: Simplify 0 into 0 1546942112.423 * [misc]backup-simplify: Simplify 1 into 1 1546942112.423 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546942112.423 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546942112.423 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.423 * [misc]backup-simplify: Simplify 2 into 2 1546942112.423 * [misc]taylor: Taking taylor expansion of n in k 1546942112.423 * [misc]backup-simplify: Simplify n into n 1546942112.423 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546942112.423 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546942112.423 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.423 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.424 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.424 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546942112.424 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546942112.424 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546942112.424 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.424 * [misc]taylor: Taking taylor expansion of k in k 1546942112.424 * [misc]backup-simplify: Simplify 0 into 0 1546942112.424 * [misc]backup-simplify: Simplify 1 into 1 1546942112.424 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.424 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.425 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942112.425 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1546942112.425 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546942112.425 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546942112.425 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546942112.425 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942112.425 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.425 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942112.425 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.425 * [misc]taylor: Taking taylor expansion of k in n 1546942112.425 * [misc]backup-simplify: Simplify k into k 1546942112.425 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546942112.425 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546942112.425 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.425 * [misc]backup-simplify: Simplify 2 into 2 1546942112.425 * [misc]taylor: Taking taylor expansion of n in n 1546942112.425 * [misc]backup-simplify: Simplify 0 into 0 1546942112.426 * [misc]backup-simplify: Simplify 1 into 1 1546942112.426 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942112.426 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546942112.426 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.426 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942112.426 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942112.426 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942112.427 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.427 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546942112.427 * [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)))) 1546942112.427 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546942112.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.427 * [misc]taylor: Taking taylor expansion of k in n 1546942112.427 * [misc]backup-simplify: Simplify k into k 1546942112.427 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.427 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546942112.428 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.428 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546942112.428 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1546942112.428 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546942112.428 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546942112.428 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546942112.428 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942112.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.428 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942112.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.428 * [misc]taylor: Taking taylor expansion of k in n 1546942112.428 * [misc]backup-simplify: Simplify k into k 1546942112.428 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546942112.428 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546942112.428 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.428 * [misc]backup-simplify: Simplify 2 into 2 1546942112.428 * [misc]taylor: Taking taylor expansion of n in n 1546942112.428 * [misc]backup-simplify: Simplify 0 into 0 1546942112.428 * [misc]backup-simplify: Simplify 1 into 1 1546942112.428 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942112.429 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546942112.429 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.429 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942112.429 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942112.429 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942112.429 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.430 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546942112.430 * [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)))) 1546942112.430 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546942112.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.430 * [misc]taylor: Taking taylor expansion of k in n 1546942112.430 * [misc]backup-simplify: Simplify k into k 1546942112.430 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.430 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546942112.430 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.430 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546942112.431 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1546942112.431 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1546942112.431 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1546942112.431 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1546942112.431 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1546942112.431 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546942112.431 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.431 * [misc]backup-simplify: Simplify 2 into 2 1546942112.431 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.431 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942112.431 * [misc]taylor: Taking taylor expansion of n in k 1546942112.431 * [misc]backup-simplify: Simplify n into n 1546942112.431 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942112.431 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.432 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.432 * [misc]taylor: Taking taylor expansion of k in k 1546942112.432 * [misc]backup-simplify: Simplify 0 into 0 1546942112.432 * [misc]backup-simplify: Simplify 1 into 1 1546942112.432 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1546942112.432 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.432 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.432 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.433 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1546942112.433 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546942112.433 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546942112.433 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.433 * [misc]taylor: Taking taylor expansion of k in k 1546942112.433 * [misc]backup-simplify: Simplify 0 into 0 1546942112.433 * [misc]backup-simplify: Simplify 1 into 1 1546942112.433 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.433 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.434 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942112.434 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1546942112.434 * [misc]backup-simplify: Simplify 0 into 0 1546942112.434 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546942112.437 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546942112.437 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546942112.437 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.437 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.437 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.438 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1546942112.439 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.439 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1546942112.439 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.439 * [misc]backup-simplify: Simplify 0 into 0 1546942112.440 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942112.440 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.440 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.442 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546942112.443 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546942112.443 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.444 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1546942112.445 * [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))))) 1546942112.446 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1546942112.446 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1546942112.446 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.447 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1546942112.447 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546942112.451 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546942112.452 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546942112.452 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.452 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.452 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.453 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1546942112.455 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546942112.455 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1546942112.455 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.455 * [misc]backup-simplify: Simplify 0 into 0 1546942112.455 * [misc]backup-simplify: Simplify 0 into 0 1546942112.456 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546942112.457 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942112.457 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942112.457 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.457 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.461 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546942112.463 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546942112.463 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.463 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1546942112.465 * [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))))) 1546942112.467 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1546942112.468 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1546942112.469 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.469 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1546942112.469 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1546942112.476 * [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 1546942112.476 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1546942112.476 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.476 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.477 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1546942112.481 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546942112.481 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1546942112.482 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.482 * [misc]backup-simplify: Simplify 0 into 0 1546942112.482 * [misc]backup-simplify: Simplify 0 into 0 1546942112.482 * [misc]backup-simplify: Simplify 0 into 0 1546942112.482 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.483 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942112.483 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546942112.484 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.491 * [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 1546942112.494 * [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 1546942112.494 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.495 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1546942112.498 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1546942112.503 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1546942112.507 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1546942112.515 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1546942112.516 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1546942112.516 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1546942112.516 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1546942112.516 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942112.516 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546942112.516 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546942112.516 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.516 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.516 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.516 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.516 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.516 * [misc]taylor: Taking taylor expansion of k in k 1546942112.516 * [misc]backup-simplify: Simplify 0 into 0 1546942112.516 * [misc]backup-simplify: Simplify 1 into 1 1546942112.516 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.516 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546942112.516 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546942112.516 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.516 * [misc]backup-simplify: Simplify 2 into 2 1546942112.516 * [misc]taylor: Taking taylor expansion of n in k 1546942112.516 * [misc]backup-simplify: Simplify n into n 1546942112.517 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546942112.517 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546942112.517 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.517 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.517 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.517 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546942112.517 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.517 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546942112.517 * [misc]taylor: Taking taylor expansion of k in k 1546942112.518 * [misc]backup-simplify: Simplify 0 into 0 1546942112.518 * [misc]backup-simplify: Simplify 1 into 1 1546942112.518 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.518 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942112.518 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1546942112.518 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.518 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546942112.518 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546942112.518 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.518 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.519 * [misc]taylor: Taking taylor expansion of k in n 1546942112.519 * [misc]backup-simplify: Simplify k into k 1546942112.519 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.519 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546942112.519 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546942112.519 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.519 * [misc]backup-simplify: Simplify 2 into 2 1546942112.519 * [misc]taylor: Taking taylor expansion of n in n 1546942112.519 * [misc]backup-simplify: Simplify 0 into 0 1546942112.519 * [misc]backup-simplify: Simplify 1 into 1 1546942112.519 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546942112.519 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.519 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.519 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.520 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.520 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.520 * [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))) 1546942112.521 * [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)))) 1546942112.521 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of k in n 1546942112.521 * [misc]backup-simplify: Simplify k into k 1546942112.521 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546942112.521 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546942112.521 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.521 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of k in n 1546942112.521 * [misc]backup-simplify: Simplify k into k 1546942112.521 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.521 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546942112.521 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.521 * [misc]backup-simplify: Simplify 2 into 2 1546942112.522 * [misc]taylor: Taking taylor expansion of n in n 1546942112.522 * [misc]backup-simplify: Simplify 0 into 0 1546942112.522 * [misc]backup-simplify: Simplify 1 into 1 1546942112.522 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546942112.522 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.522 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.522 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.522 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.523 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.523 * [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))) 1546942112.523 * [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)))) 1546942112.523 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546942112.523 * [misc]taylor: Taking taylor expansion of k in n 1546942112.523 * [misc]backup-simplify: Simplify k into k 1546942112.523 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546942112.523 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546942112.524 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546942112.524 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1546942112.524 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546942112.524 * [misc]taylor: Taking taylor expansion of k in k 1546942112.524 * [misc]backup-simplify: Simplify 0 into 0 1546942112.524 * [misc]backup-simplify: Simplify 1 into 1 1546942112.524 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.525 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942112.525 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1546942112.525 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1546942112.525 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.525 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.525 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.525 * [misc]taylor: Taking taylor expansion of k in k 1546942112.525 * [misc]backup-simplify: Simplify 0 into 0 1546942112.525 * [misc]backup-simplify: Simplify 1 into 1 1546942112.525 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.525 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1546942112.525 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546942112.525 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.525 * [misc]backup-simplify: Simplify 2 into 2 1546942112.525 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.526 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942112.526 * [misc]taylor: Taking taylor expansion of n in k 1546942112.526 * [misc]backup-simplify: Simplify n into n 1546942112.526 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942112.526 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.526 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.526 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.526 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942112.526 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1546942112.527 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1546942112.527 * [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)))) 1546942112.527 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1546942112.527 * [misc]backup-simplify: Simplify 0 into 0 1546942112.528 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546942112.530 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546942112.530 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.530 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942112.531 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.531 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.531 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546942112.533 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.533 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1546942112.533 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.533 * [misc]backup-simplify: Simplify 0 into 0 1546942112.533 * [misc]backup-simplify: Simplify 0 into 0 1546942112.534 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546942112.534 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546942112.535 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1546942112.535 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.539 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546942112.539 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942112.540 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.541 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1546942112.543 * [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 1546942112.543 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1546942112.543 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.543 * [misc]backup-simplify: Simplify 0 into 0 1546942112.543 * [misc]backup-simplify: Simplify 0 into 0 1546942112.543 * [misc]backup-simplify: Simplify 0 into 0 1546942112.545 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942112.545 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546942112.546 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546942112.546 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1546942112.546 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.554 * [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 1546942112.554 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.554 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546942112.555 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.555 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.556 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1546942112.559 * [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 1546942112.560 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1546942112.560 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.560 * [misc]backup-simplify: Simplify 0 into 0 1546942112.560 * [misc]backup-simplify: Simplify 0 into 0 1546942112.560 * [misc]backup-simplify: Simplify 0 into 0 1546942112.560 * [misc]backup-simplify: Simplify 0 into 0 1546942112.561 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942112.562 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546942112.563 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546942112.564 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1546942112.565 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546942112.565 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1546942112.565 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546942112.565 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942112.565 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546942112.565 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546942112.565 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.565 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.565 * [misc]taylor: Taking taylor expansion of k in k 1546942112.565 * [misc]backup-simplify: Simplify 0 into 0 1546942112.565 * [misc]backup-simplify: Simplify 1 into 1 1546942112.565 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.565 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546942112.565 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546942112.565 * [misc]taylor: Taking taylor expansion of -2 in k 1546942112.565 * [misc]backup-simplify: Simplify -2 into -2 1546942112.565 * [misc]taylor: Taking taylor expansion of n in k 1546942112.565 * [misc]backup-simplify: Simplify n into n 1546942112.566 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546942112.566 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546942112.566 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.566 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.566 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546942112.566 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.566 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546942112.566 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546942112.566 * [misc]taylor: Taking taylor expansion of -1 in k 1546942112.566 * [misc]backup-simplify: Simplify -1 into -1 1546942112.566 * [misc]taylor: Taking taylor expansion of k in k 1546942112.566 * [misc]backup-simplify: Simplify 0 into 0 1546942112.566 * [misc]backup-simplify: Simplify 1 into 1 1546942112.567 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546942112.567 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.567 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546942112.568 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1546942112.568 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546942112.568 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.568 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546942112.568 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546942112.568 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.568 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.568 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.568 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.568 * [misc]taylor: Taking taylor expansion of k in n 1546942112.568 * [misc]backup-simplify: Simplify k into k 1546942112.568 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.568 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.568 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546942112.568 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546942112.568 * [misc]taylor: Taking taylor expansion of -2 in n 1546942112.568 * [misc]backup-simplify: Simplify -2 into -2 1546942112.568 * [misc]taylor: Taking taylor expansion of n in n 1546942112.568 * [misc]backup-simplify: Simplify 0 into 0 1546942112.568 * [misc]backup-simplify: Simplify 1 into 1 1546942112.568 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546942112.569 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.569 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.569 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.569 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.570 * [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))) 1546942112.570 * [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)))) 1546942112.570 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546942112.570 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546942112.570 * [misc]taylor: Taking taylor expansion of -1 in n 1546942112.570 * [misc]backup-simplify: Simplify -1 into -1 1546942112.570 * [misc]taylor: Taking taylor expansion of k in n 1546942112.570 * [misc]backup-simplify: Simplify k into k 1546942112.570 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546942112.570 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546942112.570 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546942112.570 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546942112.571 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1546942112.571 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546942112.571 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.571 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546942112.571 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546942112.571 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.571 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.571 * [misc]taylor: Taking taylor expansion of k in n 1546942112.571 * [misc]backup-simplify: Simplify k into k 1546942112.571 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.571 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546942112.571 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546942112.571 * [misc]taylor: Taking taylor expansion of -2 in n 1546942112.571 * [misc]backup-simplify: Simplify -2 into -2 1546942112.571 * [misc]taylor: Taking taylor expansion of n in n 1546942112.571 * [misc]backup-simplify: Simplify 0 into 0 1546942112.571 * [misc]backup-simplify: Simplify 1 into 1 1546942112.572 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546942112.572 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.572 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.572 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.573 * [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))) 1546942112.573 * [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)))) 1546942112.573 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546942112.573 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546942112.573 * [misc]taylor: Taking taylor expansion of -1 in n 1546942112.573 * [misc]backup-simplify: Simplify -1 into -1 1546942112.573 * [misc]taylor: Taking taylor expansion of k in n 1546942112.573 * [misc]backup-simplify: Simplify k into k 1546942112.573 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546942112.573 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546942112.573 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546942112.574 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546942112.574 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1546942112.574 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1546942112.574 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1546942112.574 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1546942112.574 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.574 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.574 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.574 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.574 * [misc]taylor: Taking taylor expansion of k in k 1546942112.574 * [misc]backup-simplify: Simplify 0 into 0 1546942112.574 * [misc]backup-simplify: Simplify 1 into 1 1546942112.575 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.575 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.575 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1546942112.575 * [misc]taylor: Taking taylor expansion of (log -2) in k 1546942112.575 * [misc]taylor: Taking taylor expansion of -2 in k 1546942112.575 * [misc]backup-simplify: Simplify -2 into -2 1546942112.575 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.575 * [misc]taylor: Taking taylor expansion of (log n) in k 1546942112.575 * [misc]taylor: Taking taylor expansion of n in k 1546942112.575 * [misc]backup-simplify: Simplify n into n 1546942112.575 * [misc]backup-simplify: Simplify (log n) into (log n) 1546942112.575 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.575 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.575 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546942112.576 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1546942112.576 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1546942112.576 * [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)))) 1546942112.576 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546942112.576 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546942112.576 * [misc]taylor: Taking taylor expansion of -1 in k 1546942112.576 * [misc]backup-simplify: Simplify -1 into -1 1546942112.576 * [misc]taylor: Taking taylor expansion of k in k 1546942112.576 * [misc]backup-simplify: Simplify 0 into 0 1546942112.576 * [misc]backup-simplify: Simplify 1 into 1 1546942112.577 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546942112.577 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.577 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546942112.578 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1546942112.578 * [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))))) 1546942112.578 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546942112.581 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546942112.581 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.581 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942112.581 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.582 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.582 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546942112.583 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.584 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1546942112.584 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.584 * [misc]backup-simplify: Simplify 0 into 0 1546942112.584 * [misc]backup-simplify: Simplify 0 into 0 1546942112.584 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546942112.585 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942112.586 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1546942112.586 * [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)))))) 1546942112.587 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.591 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1546942112.591 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.591 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546942112.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.592 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.592 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1546942112.594 * [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 1546942112.595 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546942112.595 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546942112.596 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1546942112.596 * [misc]taylor: Taking taylor expansion of 0 in k 1546942112.596 * [misc]backup-simplify: Simplify 0 into 0 1546942112.596 * [misc]backup-simplify: Simplify 0 into 0 1546942112.596 * [misc]backup-simplify: Simplify 0 into 0 1546942112.597 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.598 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942112.599 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1546942112.600 * [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)))))) 1546942112.601 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1546942112.601 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546942112.602 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1546942112.602 * [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 1546942112.602 * [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 1546942112.602 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1546942112.602 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546942112.602 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546942112.602 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546942112.602 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942112.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.602 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942112.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.602 * [misc]taylor: Taking taylor expansion of k in n 1546942112.602 * [misc]backup-simplify: Simplify k into k 1546942112.602 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546942112.602 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546942112.602 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.602 * [misc]backup-simplify: Simplify 2 into 2 1546942112.602 * [misc]taylor: Taking taylor expansion of n in n 1546942112.602 * [misc]backup-simplify: Simplify 0 into 0 1546942112.602 * [misc]backup-simplify: Simplify 1 into 1 1546942112.603 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942112.603 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546942112.603 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.603 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942112.603 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942112.603 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942112.604 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.604 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546942112.604 * [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)))) 1546942112.604 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1546942112.604 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1546942112.604 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1546942112.604 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546942112.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.605 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546942112.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.605 * [misc]taylor: Taking taylor expansion of k in n 1546942112.605 * [misc]backup-simplify: Simplify k into k 1546942112.605 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.605 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.605 * [misc]backup-simplify: Simplify PI into PI 1546942112.605 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.605 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546942112.605 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546942112.605 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546942112.606 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1546942112.606 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1546942112.606 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546942112.606 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.606 * [misc]taylor: Taking taylor expansion of k in n 1546942112.606 * [misc]backup-simplify: Simplify k into k 1546942112.606 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.606 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546942112.607 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.607 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546942112.607 * [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 1546942112.607 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546942112.607 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546942112.607 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546942112.607 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546942112.607 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.607 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.607 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.607 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.607 * [misc]taylor: Taking taylor expansion of k in k 1546942112.607 * [misc]backup-simplify: Simplify 0 into 0 1546942112.607 * [misc]backup-simplify: Simplify 1 into 1 1546942112.607 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546942112.607 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546942112.607 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.607 * [misc]backup-simplify: Simplify 2 into 2 1546942112.607 * [misc]taylor: Taking taylor expansion of n in k 1546942112.607 * [misc]backup-simplify: Simplify n into n 1546942112.607 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546942112.607 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546942112.608 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.608 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.608 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.608 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546942112.608 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546942112.608 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546942112.608 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546942112.608 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546942112.608 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.608 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.608 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.608 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.608 * [misc]taylor: Taking taylor expansion of k in k 1546942112.608 * [misc]backup-simplify: Simplify 0 into 0 1546942112.609 * [misc]backup-simplify: Simplify 1 into 1 1546942112.609 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.609 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.609 * [misc]backup-simplify: Simplify PI into PI 1546942112.609 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.609 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.609 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.609 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.610 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546942112.610 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546942112.611 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546942112.611 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.611 * [misc]taylor: Taking taylor expansion of k in k 1546942112.611 * [misc]backup-simplify: Simplify 0 into 0 1546942112.611 * [misc]backup-simplify: Simplify 1 into 1 1546942112.611 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.611 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.611 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942112.611 * [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 1546942112.612 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546942112.612 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546942112.612 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546942112.612 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546942112.612 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.612 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.612 * [misc]taylor: Taking taylor expansion of k in k 1546942112.612 * [misc]backup-simplify: Simplify 0 into 0 1546942112.612 * [misc]backup-simplify: Simplify 1 into 1 1546942112.612 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546942112.612 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546942112.612 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.612 * [misc]backup-simplify: Simplify 2 into 2 1546942112.612 * [misc]taylor: Taking taylor expansion of n in k 1546942112.612 * [misc]backup-simplify: Simplify n into n 1546942112.612 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546942112.612 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546942112.612 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.613 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.613 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.613 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546942112.613 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546942112.613 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546942112.613 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546942112.613 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546942112.613 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546942112.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.613 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546942112.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.613 * [misc]taylor: Taking taylor expansion of k in k 1546942112.613 * [misc]backup-simplify: Simplify 0 into 0 1546942112.613 * [misc]backup-simplify: Simplify 1 into 1 1546942112.613 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.613 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.613 * [misc]backup-simplify: Simplify PI into PI 1546942112.614 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.614 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546942112.614 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.614 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.614 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546942112.615 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546942112.615 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546942112.615 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.615 * [misc]taylor: Taking taylor expansion of k in k 1546942112.615 * [misc]backup-simplify: Simplify 0 into 0 1546942112.615 * [misc]backup-simplify: Simplify 1 into 1 1546942112.615 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.616 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.616 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942112.616 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1546942112.617 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1546942112.617 * [misc]taylor: Taking taylor expansion of 0 in n 1546942112.617 * [misc]backup-simplify: Simplify 0 into 0 1546942112.617 * [misc]backup-simplify: Simplify 0 into 0 1546942112.619 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546942112.619 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942112.619 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.620 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.620 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546942112.624 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546942112.624 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546942112.625 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546942112.625 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546942112.625 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.625 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.625 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546942112.626 * [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)))) 1546942112.627 * [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)))))) 1546942112.629 * [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))))) 1546942112.629 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546942112.629 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546942112.629 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.629 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.629 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546942112.629 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.629 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.629 * [misc]backup-simplify: Simplify 2 into 2 1546942112.629 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.629 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.629 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546942112.629 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942112.629 * [misc]taylor: Taking taylor expansion of n in n 1546942112.629 * [misc]backup-simplify: Simplify 0 into 0 1546942112.629 * [misc]backup-simplify: Simplify 1 into 1 1546942112.629 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.629 * [misc]backup-simplify: Simplify PI into PI 1546942112.630 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942112.630 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942112.630 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.631 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.631 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546942112.631 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.632 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.632 * [misc]backup-simplify: Simplify 0 into 0 1546942112.632 * [misc]backup-simplify: Simplify 0 into 0 1546942112.632 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546942112.633 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942112.637 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546942112.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942112.637 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.639 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546942112.643 * [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))) 1546942112.643 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546942112.645 * [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 1546942112.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546942112.645 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.646 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546942112.647 * [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))) 1546942112.650 * [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))))))) 1546942112.654 * [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))))))))) 1546942112.654 * [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 1546942112.654 * [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 1546942112.654 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546942112.654 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.654 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.654 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546942112.654 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546942112.654 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.654 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.654 * [misc]backup-simplify: Simplify 2 into 2 1546942112.655 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.655 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.655 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.655 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.655 * [misc]backup-simplify: Simplify PI into PI 1546942112.655 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.655 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546942112.655 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546942112.655 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.655 * [misc]backup-simplify: Simplify PI into PI 1546942112.655 * [misc]taylor: Taking taylor expansion of n in n 1546942112.655 * [misc]backup-simplify: Simplify 0 into 0 1546942112.655 * [misc]backup-simplify: Simplify 1 into 1 1546942112.656 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546942112.656 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546942112.656 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.657 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.657 * [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 1546942112.657 * [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 1546942112.657 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546942112.657 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.657 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.657 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546942112.657 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.657 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.657 * [misc]backup-simplify: Simplify 2 into 2 1546942112.657 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.657 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.657 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546942112.657 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942112.657 * [misc]taylor: Taking taylor expansion of n in n 1546942112.657 * [misc]backup-simplify: Simplify 0 into 0 1546942112.657 * [misc]backup-simplify: Simplify 1 into 1 1546942112.657 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.657 * [misc]backup-simplify: Simplify PI into PI 1546942112.657 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942112.658 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942112.658 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.658 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.658 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546942112.658 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546942112.658 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.658 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.658 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546942112.658 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546942112.658 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.658 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.658 * [misc]backup-simplify: Simplify 2 into 2 1546942112.658 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.659 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.659 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546942112.659 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546942112.659 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.659 * [misc]backup-simplify: Simplify 2 into 2 1546942112.659 * [misc]taylor: Taking taylor expansion of n in n 1546942112.659 * [misc]backup-simplify: Simplify 0 into 0 1546942112.659 * [misc]backup-simplify: Simplify 1 into 1 1546942112.659 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942112.659 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546942112.659 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.659 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546942112.659 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546942112.659 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.659 * [misc]backup-simplify: Simplify PI into PI 1546942112.659 * [misc]taylor: Taking taylor expansion of n in n 1546942112.659 * [misc]backup-simplify: Simplify 0 into 0 1546942112.659 * [misc]backup-simplify: Simplify 1 into 1 1546942112.660 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546942112.660 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546942112.660 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.660 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.661 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546942112.661 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546942112.661 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.662 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546942112.662 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.662 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.662 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546942112.662 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546942112.663 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.663 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.663 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.663 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.663 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.663 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.663 * [misc]backup-simplify: Simplify 0 into 0 1546942112.664 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546942112.665 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546942112.666 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546942112.666 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546942112.666 * [misc]backup-simplify: Simplify 0 into 0 1546942112.667 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.667 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942112.672 * [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 1546942112.672 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546942112.672 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.672 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.673 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1546942112.677 * [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))) 1546942112.677 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1546942112.679 * [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 1546942112.679 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546942112.679 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.679 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.680 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1546942112.681 * [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))) 1546942112.684 * [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))))))))) 1546942112.689 * [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))))))))))))))) 1546942112.690 * [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 1546942112.690 * [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 1546942112.690 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546942112.690 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.690 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.690 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546942112.690 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546942112.690 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.690 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.690 * [misc]backup-simplify: Simplify 2 into 2 1546942112.690 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.690 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.690 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.690 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.690 * [misc]backup-simplify: Simplify PI into PI 1546942112.690 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.690 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546942112.690 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546942112.690 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.690 * [misc]backup-simplify: Simplify PI into PI 1546942112.690 * [misc]taylor: Taking taylor expansion of n in n 1546942112.690 * [misc]backup-simplify: Simplify 0 into 0 1546942112.690 * [misc]backup-simplify: Simplify 1 into 1 1546942112.691 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546942112.691 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546942112.691 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.691 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.691 * [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 1546942112.691 * [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 1546942112.691 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1546942112.691 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.691 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.691 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1546942112.691 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1546942112.691 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.692 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.692 * [misc]backup-simplify: Simplify 2 into 2 1546942112.692 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.692 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.692 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1546942112.692 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.692 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.692 * [misc]backup-simplify: Simplify PI into PI 1546942112.692 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.692 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546942112.692 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546942112.692 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.692 * [misc]backup-simplify: Simplify PI into PI 1546942112.692 * [misc]taylor: Taking taylor expansion of n in n 1546942112.692 * [misc]backup-simplify: Simplify 0 into 0 1546942112.692 * [misc]backup-simplify: Simplify 1 into 1 1546942112.692 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546942112.693 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546942112.693 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.693 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.693 * [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 1546942112.693 * [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 1546942112.693 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1546942112.693 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.693 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.693 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1546942112.693 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1546942112.693 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.693 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.693 * [misc]backup-simplify: Simplify 2 into 2 1546942112.693 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.694 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.694 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1546942112.694 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546942112.694 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546942112.694 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.694 * [misc]backup-simplify: Simplify 2 into 2 1546942112.694 * [misc]taylor: Taking taylor expansion of n in n 1546942112.694 * [misc]backup-simplify: Simplify 0 into 0 1546942112.694 * [misc]backup-simplify: Simplify 1 into 1 1546942112.694 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942112.694 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546942112.694 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.694 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.694 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546942112.694 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546942112.694 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.694 * [misc]backup-simplify: Simplify PI into PI 1546942112.694 * [misc]taylor: Taking taylor expansion of n in n 1546942112.694 * [misc]backup-simplify: Simplify 0 into 0 1546942112.694 * [misc]backup-simplify: Simplify 1 into 1 1546942112.695 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546942112.695 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546942112.695 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.695 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.695 * [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 1546942112.695 * [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 1546942112.695 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1546942112.695 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.695 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.695 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1546942112.695 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1546942112.695 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.695 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.695 * [misc]backup-simplify: Simplify 2 into 2 1546942112.696 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.696 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.696 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1546942112.696 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546942112.696 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546942112.696 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.696 * [misc]backup-simplify: Simplify 2 into 2 1546942112.696 * [misc]taylor: Taking taylor expansion of n in n 1546942112.696 * [misc]backup-simplify: Simplify 0 into 0 1546942112.696 * [misc]backup-simplify: Simplify 1 into 1 1546942112.696 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942112.696 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546942112.696 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.696 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.696 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.696 * [misc]backup-simplify: Simplify PI into PI 1546942112.696 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.696 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546942112.696 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942112.697 * [misc]taylor: Taking taylor expansion of n in n 1546942112.697 * [misc]backup-simplify: Simplify 0 into 0 1546942112.697 * [misc]backup-simplify: Simplify 1 into 1 1546942112.697 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.697 * [misc]backup-simplify: Simplify PI into PI 1546942112.697 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942112.697 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942112.697 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.697 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.697 * [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 1546942112.698 * [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 1546942112.698 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546942112.698 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.698 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.698 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546942112.698 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.698 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.698 * [misc]backup-simplify: Simplify 2 into 2 1546942112.698 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.698 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.698 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546942112.698 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546942112.698 * [misc]taylor: Taking taylor expansion of n in n 1546942112.698 * [misc]backup-simplify: Simplify 0 into 0 1546942112.698 * [misc]backup-simplify: Simplify 1 into 1 1546942112.698 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.698 * [misc]backup-simplify: Simplify PI into PI 1546942112.698 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546942112.699 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546942112.699 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.699 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.699 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546942112.699 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546942112.699 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.699 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.699 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546942112.699 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546942112.699 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546942112.699 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.699 * [misc]backup-simplify: Simplify 2 into 2 1546942112.699 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546942112.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546942112.699 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546942112.699 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546942112.699 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.699 * [misc]backup-simplify: Simplify 2 into 2 1546942112.699 * [misc]taylor: Taking taylor expansion of n in n 1546942112.699 * [misc]backup-simplify: Simplify 0 into 0 1546942112.699 * [misc]backup-simplify: Simplify 1 into 1 1546942112.700 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546942112.700 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546942112.700 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.700 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546942112.700 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546942112.700 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.700 * [misc]backup-simplify: Simplify PI into PI 1546942112.700 * [misc]taylor: Taking taylor expansion of n in n 1546942112.700 * [misc]backup-simplify: Simplify 0 into 0 1546942112.700 * [misc]backup-simplify: Simplify 1 into 1 1546942112.700 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546942112.700 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546942112.701 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.701 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546942112.701 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546942112.702 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546942112.702 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.702 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1546942112.703 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1546942112.704 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1546942112.704 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.704 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.705 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.705 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1546942112.705 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1546942112.706 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1546942112.706 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.706 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.707 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1546942112.707 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1546942112.708 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1546942112.708 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.708 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546942112.709 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.709 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.709 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546942112.710 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546942112.710 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546942112.710 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.710 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.710 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.711 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.711 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.711 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.712 * [misc]backup-simplify: Simplify 0 into 0 1546942112.714 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546942112.715 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1546942112.717 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546942112.719 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546942112.721 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546942112.722 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546942112.723 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546942112.724 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546942112.724 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546942112.725 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1546942112.725 * [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)))))) 1546942112.726 * [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)))))) 1546942112.727 * [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)))))) 1546942112.729 * [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))))))) 1546942112.731 * [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))))))) 1546942112.734 * [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))))))))) 1546942112.738 * [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))))))))) 1546942112.741 * [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))))))))) 1546942112.742 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546942112.743 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546942112.743 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546942112.745 * [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)))) 1546942112.747 * [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)))) 1546942112.748 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546942112.749 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546942112.754 * [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))))))))))))))) 1546942112.755 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1546942112.755 * [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 1546942112.755 * [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 1546942112.755 * [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 1546942112.755 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546942112.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546942112.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.755 * [misc]taylor: Taking taylor expansion of k in n 1546942112.755 * [misc]backup-simplify: Simplify k into k 1546942112.755 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.755 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.755 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.755 * [misc]backup-simplify: Simplify PI into PI 1546942112.755 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.755 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.755 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.756 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.756 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546942112.756 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.756 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.756 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546942112.756 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546942112.756 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.756 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.756 * [misc]taylor: Taking taylor expansion of k in n 1546942112.756 * [misc]backup-simplify: Simplify k into k 1546942112.756 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.756 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546942112.756 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546942112.756 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.756 * [misc]backup-simplify: Simplify 2 into 2 1546942112.756 * [misc]taylor: Taking taylor expansion of n in n 1546942112.756 * [misc]backup-simplify: Simplify 0 into 0 1546942112.756 * [misc]backup-simplify: Simplify 1 into 1 1546942112.756 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546942112.757 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.757 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.757 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.757 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.757 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.757 * [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))) 1546942112.757 * [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)))) 1546942112.757 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546942112.757 * [misc]taylor: Taking taylor expansion of k in n 1546942112.757 * [misc]backup-simplify: Simplify k into k 1546942112.757 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546942112.757 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546942112.758 * [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 1546942112.758 * [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 1546942112.758 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942112.758 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546942112.758 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546942112.758 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.758 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.758 * [misc]taylor: Taking taylor expansion of k in k 1546942112.758 * [misc]backup-simplify: Simplify 0 into 0 1546942112.758 * [misc]backup-simplify: Simplify 1 into 1 1546942112.758 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.758 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.758 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.758 * [misc]backup-simplify: Simplify PI into PI 1546942112.758 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.758 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.758 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.758 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.759 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546942112.759 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.759 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942112.759 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546942112.759 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546942112.759 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.759 * [misc]taylor: Taking taylor expansion of k in k 1546942112.759 * [misc]backup-simplify: Simplify 0 into 0 1546942112.759 * [misc]backup-simplify: Simplify 1 into 1 1546942112.759 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.759 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546942112.759 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546942112.759 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.759 * [misc]backup-simplify: Simplify 2 into 2 1546942112.759 * [misc]taylor: Taking taylor expansion of n in k 1546942112.759 * [misc]backup-simplify: Simplify n into n 1546942112.759 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546942112.759 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546942112.760 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.760 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.760 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.760 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546942112.760 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.760 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546942112.760 * [misc]taylor: Taking taylor expansion of k in k 1546942112.760 * [misc]backup-simplify: Simplify 0 into 0 1546942112.760 * [misc]backup-simplify: Simplify 1 into 1 1546942112.760 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.760 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942112.760 * [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 1546942112.760 * [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 1546942112.760 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942112.760 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546942112.760 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546942112.760 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.761 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.761 * [misc]taylor: Taking taylor expansion of k in k 1546942112.761 * [misc]backup-simplify: Simplify 0 into 0 1546942112.761 * [misc]backup-simplify: Simplify 1 into 1 1546942112.761 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.761 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.761 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.761 * [misc]backup-simplify: Simplify PI into PI 1546942112.761 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.761 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.761 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.761 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.762 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546942112.762 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.762 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546942112.762 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546942112.762 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546942112.762 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546942112.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.762 * [misc]taylor: Taking taylor expansion of k in k 1546942112.762 * [misc]backup-simplify: Simplify 0 into 0 1546942112.762 * [misc]backup-simplify: Simplify 1 into 1 1546942112.762 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.762 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546942112.762 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546942112.762 * [misc]taylor: Taking taylor expansion of 2 in k 1546942112.762 * [misc]backup-simplify: Simplify 2 into 2 1546942112.762 * [misc]taylor: Taking taylor expansion of n in k 1546942112.762 * [misc]backup-simplify: Simplify n into n 1546942112.762 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546942112.762 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546942112.762 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.762 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546942112.763 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546942112.763 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546942112.763 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.763 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546942112.763 * [misc]taylor: Taking taylor expansion of k in k 1546942112.763 * [misc]backup-simplify: Simplify 0 into 0 1546942112.763 * [misc]backup-simplify: Simplify 1 into 1 1546942112.763 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.763 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546942112.763 * [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))))) 1546942112.764 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546942112.764 * [misc]taylor: Taking taylor expansion of 0 in n 1546942112.764 * [misc]backup-simplify: Simplify 0 into 0 1546942112.764 * [misc]backup-simplify: Simplify 0 into 0 1546942112.764 * [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 1546942112.764 * [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))))))) 1546942112.764 * [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 1546942112.764 * [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 1546942112.764 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.764 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.764 * [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 1546942112.764 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.764 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546942112.764 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546942112.764 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.764 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.765 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.765 * [misc]taylor: Taking taylor expansion of k in n 1546942112.765 * [misc]backup-simplify: Simplify k into k 1546942112.765 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.765 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.765 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.765 * [misc]backup-simplify: Simplify PI into PI 1546942112.765 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.765 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.765 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.765 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.765 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546942112.766 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.766 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.766 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546942112.766 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546942112.766 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.766 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.766 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.766 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.766 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.766 * [misc]taylor: Taking taylor expansion of k in n 1546942112.766 * [misc]backup-simplify: Simplify k into k 1546942112.766 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.766 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546942112.766 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546942112.766 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.766 * [misc]backup-simplify: Simplify 2 into 2 1546942112.766 * [misc]taylor: Taking taylor expansion of n in n 1546942112.766 * [misc]backup-simplify: Simplify 0 into 0 1546942112.766 * [misc]backup-simplify: Simplify 1 into 1 1546942112.766 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546942112.766 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.766 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.766 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.766 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.767 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.767 * [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))) 1546942112.767 * [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)))) 1546942112.767 * [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))))) 1546942112.767 * [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)))))) 1546942112.768 * [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))))))) 1546942112.769 * [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))))))) 1546942112.769 * [misc]backup-simplify: Simplify 0 into 0 1546942112.770 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942112.770 * [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 1546942112.770 * [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))))))) 1546942112.770 * [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 1546942112.770 * [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 1546942112.770 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.770 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.770 * [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 1546942112.770 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.770 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546942112.770 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546942112.770 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.770 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.770 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.770 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.770 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.771 * [misc]taylor: Taking taylor expansion of k in n 1546942112.771 * [misc]backup-simplify: Simplify k into k 1546942112.771 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.771 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.771 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.771 * [misc]backup-simplify: Simplify PI into PI 1546942112.771 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.771 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.771 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.771 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.771 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546942112.771 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.771 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.771 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546942112.771 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546942112.771 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.772 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.772 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.772 * [misc]taylor: Taking taylor expansion of k in n 1546942112.772 * [misc]backup-simplify: Simplify k into k 1546942112.772 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.772 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546942112.772 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546942112.772 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.772 * [misc]backup-simplify: Simplify 2 into 2 1546942112.772 * [misc]taylor: Taking taylor expansion of n in n 1546942112.772 * [misc]backup-simplify: Simplify 0 into 0 1546942112.772 * [misc]backup-simplify: Simplify 1 into 1 1546942112.772 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546942112.772 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.772 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.772 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.772 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.772 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.773 * [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))) 1546942112.773 * [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)))) 1546942112.773 * [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))))) 1546942112.773 * [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)))))) 1546942112.774 * [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))))))) 1546942112.774 * [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))))))) 1546942112.774 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546942112.776 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546942112.776 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.776 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942112.776 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.776 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.776 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.776 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546942112.777 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.779 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546942112.779 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.779 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942112.779 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.779 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.780 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1546942112.781 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.781 * [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 1546942112.782 * [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 1546942112.782 * [misc]backup-simplify: Simplify (- 0) into 0 1546942112.782 * [misc]backup-simplify: Simplify 0 into 0 1546942112.782 * [misc]backup-simplify: Simplify 0 into 0 1546942112.783 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942112.784 * [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 1546942112.784 * [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))))))) 1546942112.784 * [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 1546942112.784 * [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 1546942112.784 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.784 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.784 * [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 1546942112.785 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.785 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546942112.785 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546942112.785 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.785 * [misc]taylor: Taking taylor expansion of k in n 1546942112.785 * [misc]backup-simplify: Simplify k into k 1546942112.785 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.785 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.785 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.785 * [misc]backup-simplify: Simplify PI into PI 1546942112.785 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.785 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.785 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.786 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.786 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546942112.786 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546942112.786 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546942112.786 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546942112.786 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546942112.786 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546942112.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.786 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.787 * [misc]taylor: Taking taylor expansion of k in n 1546942112.787 * [misc]backup-simplify: Simplify k into k 1546942112.787 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.787 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546942112.787 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546942112.787 * [misc]taylor: Taking taylor expansion of 2 in n 1546942112.787 * [misc]backup-simplify: Simplify 2 into 2 1546942112.787 * [misc]taylor: Taking taylor expansion of n in n 1546942112.787 * [misc]backup-simplify: Simplify 0 into 0 1546942112.787 * [misc]backup-simplify: Simplify 1 into 1 1546942112.787 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546942112.787 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546942112.787 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.787 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546942112.787 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546942112.788 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546942112.788 * [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))) 1546942112.788 * [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)))) 1546942112.788 * [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))))) 1546942112.788 * [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)))))) 1546942112.789 * [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))))))) 1546942112.789 * [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))))))) 1546942112.790 * [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)))))))) 1546942112.791 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1546942112.791 * [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 1546942112.791 * [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 1546942112.791 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546942112.791 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.791 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546942112.791 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546942112.791 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.791 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.791 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.791 * [misc]taylor: Taking taylor expansion of k in n 1546942112.791 * [misc]backup-simplify: Simplify k into k 1546942112.791 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.791 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546942112.791 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546942112.791 * [misc]taylor: Taking taylor expansion of -2 in n 1546942112.791 * [misc]backup-simplify: Simplify -2 into -2 1546942112.791 * [misc]taylor: Taking taylor expansion of n in n 1546942112.791 * [misc]backup-simplify: Simplify 0 into 0 1546942112.791 * [misc]backup-simplify: Simplify 1 into 1 1546942112.791 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546942112.791 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.791 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.791 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.792 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.792 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546942112.792 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546942112.792 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.792 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546942112.792 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546942112.792 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.792 * [misc]taylor: Taking taylor expansion of k in n 1546942112.792 * [misc]backup-simplify: Simplify k into k 1546942112.792 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.792 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.792 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.792 * [misc]backup-simplify: Simplify PI into PI 1546942112.793 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.793 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.793 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.793 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546942112.793 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.793 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546942112.793 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546942112.793 * [misc]taylor: Taking taylor expansion of -1 in n 1546942112.793 * [misc]backup-simplify: Simplify -1 into -1 1546942112.793 * [misc]taylor: Taking taylor expansion of k in n 1546942112.793 * [misc]backup-simplify: Simplify k into k 1546942112.793 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546942112.793 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546942112.793 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546942112.794 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546942112.794 * [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))) 1546942112.794 * [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))) 1546942112.794 * [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 1546942112.794 * [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 1546942112.794 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942112.794 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546942112.794 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546942112.794 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.794 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.794 * [misc]taylor: Taking taylor expansion of k in k 1546942112.794 * [misc]backup-simplify: Simplify 0 into 0 1546942112.794 * [misc]backup-simplify: Simplify 1 into 1 1546942112.794 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.795 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546942112.795 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546942112.795 * [misc]taylor: Taking taylor expansion of -2 in k 1546942112.795 * [misc]backup-simplify: Simplify -2 into -2 1546942112.795 * [misc]taylor: Taking taylor expansion of n in k 1546942112.795 * [misc]backup-simplify: Simplify n into n 1546942112.795 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546942112.795 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546942112.795 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.795 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.795 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546942112.795 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.795 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942112.795 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546942112.795 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546942112.795 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.795 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.795 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.795 * [misc]taylor: Taking taylor expansion of k in k 1546942112.795 * [misc]backup-simplify: Simplify 0 into 0 1546942112.795 * [misc]backup-simplify: Simplify 1 into 1 1546942112.795 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.795 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.795 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.795 * [misc]backup-simplify: Simplify PI into PI 1546942112.796 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.796 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.796 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.796 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546942112.796 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.796 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546942112.796 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546942112.796 * [misc]taylor: Taking taylor expansion of -1 in k 1546942112.796 * [misc]backup-simplify: Simplify -1 into -1 1546942112.796 * [misc]taylor: Taking taylor expansion of k in k 1546942112.797 * [misc]backup-simplify: Simplify 0 into 0 1546942112.797 * [misc]backup-simplify: Simplify 1 into 1 1546942112.797 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546942112.797 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.797 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546942112.797 * [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))) 1546942112.797 * [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)))) 1546942112.797 * [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 1546942112.797 * [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 1546942112.797 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942112.797 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546942112.797 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546942112.797 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.797 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.798 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of k in k 1546942112.798 * [misc]backup-simplify: Simplify 0 into 0 1546942112.798 * [misc]backup-simplify: Simplify 1 into 1 1546942112.798 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.798 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of -2 in k 1546942112.798 * [misc]backup-simplify: Simplify -2 into -2 1546942112.798 * [misc]taylor: Taking taylor expansion of n in k 1546942112.798 * [misc]backup-simplify: Simplify n into n 1546942112.798 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546942112.798 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546942112.798 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.798 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.798 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546942112.798 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.798 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.798 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546942112.798 * [misc]taylor: Taking taylor expansion of k in k 1546942112.798 * [misc]backup-simplify: Simplify 0 into 0 1546942112.799 * [misc]backup-simplify: Simplify 1 into 1 1546942112.799 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546942112.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546942112.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.799 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546942112.799 * [misc]taylor: Taking taylor expansion of PI in k 1546942112.799 * [misc]backup-simplify: Simplify PI into PI 1546942112.799 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.799 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546942112.799 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546942112.799 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546942112.800 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.800 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546942112.800 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546942112.800 * [misc]taylor: Taking taylor expansion of -1 in k 1546942112.800 * [misc]backup-simplify: Simplify -1 into -1 1546942112.800 * [misc]taylor: Taking taylor expansion of k in k 1546942112.800 * [misc]backup-simplify: Simplify 0 into 0 1546942112.800 * [misc]backup-simplify: Simplify 1 into 1 1546942112.800 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546942112.800 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546942112.800 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546942112.800 * [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))) 1546942112.800 * [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)))) 1546942112.801 * [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 1546942112.801 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.801 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.801 * [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 1546942112.801 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.801 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546942112.801 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546942112.801 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.801 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.801 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.801 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.801 * [misc]taylor: Taking taylor expansion of k in n 1546942112.801 * [misc]backup-simplify: Simplify k into k 1546942112.801 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.801 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.801 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546942112.801 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546942112.801 * [misc]taylor: Taking taylor expansion of -2 in n 1546942112.801 * [misc]backup-simplify: Simplify -2 into -2 1546942112.801 * [misc]taylor: Taking taylor expansion of n in n 1546942112.801 * [misc]backup-simplify: Simplify 0 into 0 1546942112.801 * [misc]backup-simplify: Simplify 1 into 1 1546942112.801 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546942112.801 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.801 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.801 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.802 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.802 * [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))) 1546942112.802 * [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)))) 1546942112.802 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.802 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546942112.802 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546942112.802 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.802 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.802 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.802 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.802 * [misc]taylor: Taking taylor expansion of k in n 1546942112.802 * [misc]backup-simplify: Simplify k into k 1546942112.802 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.802 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.802 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.802 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.802 * [misc]backup-simplify: Simplify PI into PI 1546942112.802 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.802 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.803 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.803 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546942112.803 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.803 * [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))) 1546942112.803 * [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)))) 1546942112.804 * [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)))) 1546942112.804 * [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 1546942112.804 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546942112.805 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546942112.805 * [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))))) 1546942112.805 * [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 1546942112.805 * [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 1546942112.805 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.805 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.805 * [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 1546942112.805 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.805 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546942112.805 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546942112.805 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.805 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.805 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.806 * [misc]taylor: Taking taylor expansion of k in n 1546942112.806 * [misc]backup-simplify: Simplify k into k 1546942112.806 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.806 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546942112.806 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546942112.806 * [misc]taylor: Taking taylor expansion of -2 in n 1546942112.806 * [misc]backup-simplify: Simplify -2 into -2 1546942112.806 * [misc]taylor: Taking taylor expansion of n in n 1546942112.806 * [misc]backup-simplify: Simplify 0 into 0 1546942112.806 * [misc]backup-simplify: Simplify 1 into 1 1546942112.806 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546942112.806 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.806 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.806 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.806 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.806 * [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))) 1546942112.807 * [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)))) 1546942112.807 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.807 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546942112.807 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546942112.807 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.807 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.807 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.807 * [misc]taylor: Taking taylor expansion of k in n 1546942112.807 * [misc]backup-simplify: Simplify k into k 1546942112.807 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.807 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.807 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.807 * [misc]backup-simplify: Simplify PI into PI 1546942112.807 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.807 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.807 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.807 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546942112.808 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.808 * [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))) 1546942112.808 * [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)))) 1546942112.809 * [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))))) 1546942112.809 * [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))))) 1546942112.810 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546942112.810 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.810 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942112.811 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.811 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1546942112.812 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.812 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546942112.813 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546942112.813 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546942112.813 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546942112.814 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546942112.814 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.814 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546942112.815 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546942112.815 * [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 1546942112.815 * [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 1546942112.815 * [misc]backup-simplify: Simplify 0 into 0 1546942112.816 * [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 1546942112.816 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546942112.817 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546942112.817 * [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))))) 1546942112.818 * [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 1546942112.818 * [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 1546942112.818 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546942112.818 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546942112.818 * [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 1546942112.818 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.818 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546942112.818 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546942112.818 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.818 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.818 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.818 * [misc]taylor: Taking taylor expansion of k in n 1546942112.818 * [misc]backup-simplify: Simplify k into k 1546942112.818 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.818 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546942112.818 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546942112.818 * [misc]taylor: Taking taylor expansion of -2 in n 1546942112.818 * [misc]backup-simplify: Simplify -2 into -2 1546942112.818 * [misc]taylor: Taking taylor expansion of n in n 1546942112.818 * [misc]backup-simplify: Simplify 0 into 0 1546942112.818 * [misc]backup-simplify: Simplify 1 into 1 1546942112.818 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546942112.818 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546942112.818 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.818 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.819 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546942112.819 * [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))) 1546942112.819 * [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)))) 1546942112.819 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546942112.819 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546942112.819 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546942112.819 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546942112.819 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546942112.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546942112.819 * [misc]taylor: Taking taylor expansion of k in n 1546942112.819 * [misc]backup-simplify: Simplify k into k 1546942112.819 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546942112.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546942112.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546942112.819 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546942112.819 * [misc]taylor: Taking taylor expansion of PI in n 1546942112.819 * [misc]backup-simplify: Simplify PI into PI 1546942112.820 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546942112.820 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546942112.820 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546942112.820 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546942112.820 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546942112.821 * [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))) 1546942112.821 * [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)))) 1546942112.822 * [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))))) 1546942112.822 * [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))))) 1546942112.824 * [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)))))))) 1546942112.825 * * * [misc]progress: simplifying candidates 1546942112.825 * * * * [misc]progress: [ 1 / 141 ] simplifiying candidate # 1546942112.825 * * * * [misc]progress: [ 2 / 141 ] simplifiying candidate # 1546942112.825 * * * * [misc]progress: [ 3 / 141 ] simplifiying candidate # 1546942112.825 * * * * [misc]progress: [ 4 / 141 ] simplifiying candidate # 1546942112.825 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1546942112.825 * * [misc]simplify: iters left: 3 (5 enodes) 1546942112.827 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1546942112.827 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942112.827 * * * * [misc]progress: [ 5 / 141 ] simplifiying candidate # 1546942112.827 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546942112.827 * * [misc]simplify: iters left: 5 (6 enodes) 1546942112.829 * * [misc]simplify: iters left: 4 (8 enodes) 1546942112.831 * * [misc]simplify: iters left: 3 (11 enodes) 1546942112.834 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546942112.834 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942112.834 * * * * [misc]progress: [ 6 / 141 ] simplifiying candidate # 1546942112.835 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546942112.835 * * [misc]simplify: iters left: 5 (6 enodes) 1546942112.836 * * [misc]simplify: iters left: 4 (8 enodes) 1546942112.839 * * [misc]simplify: iters left: 3 (11 enodes) 1546942112.842 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546942112.842 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942112.842 * * * * [misc]progress: [ 7 / 141 ] simplifiying candidate # 1546942112.842 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546942112.842 * * [misc]simplify: iters left: 4 (5 enodes) 1546942112.844 * * [misc]simplify: iters left: 3 (7 enodes) 1546942112.846 * * [misc]simplify: iters left: 2 (10 enodes) 1546942112.848 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546942112.848 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942112.848 * * * * [misc]progress: [ 8 / 141 ] simplifiying candidate # 1546942112.849 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546942112.849 * * [misc]simplify: iters left: 5 (6 enodes) 1546942112.850 * * [misc]simplify: iters left: 4 (8 enodes) 1546942112.853 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546942112.853 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942112.853 * * * * [misc]progress: [ 9 / 141 ] simplifiying candidate # 1546942112.853 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546942112.853 * * [misc]simplify: iters left: 5 (6 enodes) 1546942112.855 * * [misc]simplify: iters left: 4 (8 enodes) 1546942112.858 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546942112.858 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942112.858 * * * * [misc]progress: [ 10 / 141 ] simplifiying candidate # 1546942112.858 * * * * [misc]progress: [ 11 / 141 ] simplifiying candidate # 1546942112.858 * * * * [misc]progress: [ 12 / 141 ] simplifiying candidate # 1546942112.858 * * * * [misc]progress: [ 13 / 141 ] simplifiying candidate # 1546942112.858 * * * * [misc]progress: [ 14 / 141 ] simplifiying candidate # 1546942112.858 * * * * [misc]progress: [ 15 / 141 ] simplifiying candidate # 1546942112.858 * * * * [misc]progress: [ 16 / 141 ] simplifiying candidate # 1546942112.858 * * * * [misc]progress: [ 17 / 141 ] simplifiying candidate # 1546942112.858 * * * * [misc]progress: [ 18 / 141 ] simplifiying candidate # 1546942112.858 * * * * [misc]progress: [ 19 / 141 ] simplifiying candidate # 1546942112.859 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1546942112.859 * * [misc]simplify: iters left: 6 (9 enodes) 1546942112.862 * * [misc]simplify: iters left: 5 (16 enodes) 1546942112.867 * * [misc]simplify: iters left: 4 (32 enodes) 1546942112.879 * * [misc]simplify: iters left: 3 (72 enodes) 1546942112.917 * * [misc]simplify: iters left: 2 (195 enodes) 1546942113.007 * * [misc]simplify: iters left: 1 (418 enodes) 1546942113.215 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1546942113.215 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1546942113.215 * * * * [misc]progress: [ 20 / 141 ] simplifiying candidate # 1546942113.216 * * * * [misc]progress: [ 21 / 141 ] simplifiying candidate # 1546942113.216 * [enter]simplify: Simplifying (* n 2) 1546942113.216 * * [misc]simplify: iters left: 2 (3 enodes) 1546942113.217 * * [misc]simplify: iters left: 1 (4 enodes) 1546942113.218 * [exit]simplify: Simplified to (* n 2) 1546942113.218 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1546942113.218 * * * * [misc]progress: [ 22 / 141 ] simplifiying candidate # 1546942113.219 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546942113.219 * * [misc]simplify: iters left: 3 (6 enodes) 1546942113.220 * * [misc]simplify: iters left: 2 (7 enodes) 1546942113.223 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546942113.223 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1546942113.223 * * * * [misc]progress: [ 23 / 141 ] simplifiying candidate # 1546942113.223 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546942113.223 * * [misc]simplify: iters left: 5 (6 enodes) 1546942113.225 * * [misc]simplify: iters left: 4 (8 enodes) 1546942113.227 * * [misc]simplify: iters left: 3 (11 enodes) 1546942113.230 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546942113.230 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))) 1546942113.230 * * * * [misc]progress: [ 24 / 141 ] simplifiying candidate # 1546942113.231 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546942113.231 * * [misc]simplify: iters left: 5 (6 enodes) 1546942113.233 * * [misc]simplify: iters left: 4 (8 enodes) 1546942113.235 * * [misc]simplify: iters left: 3 (11 enodes) 1546942113.238 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546942113.238 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))) 1546942113.238 * * * * [misc]progress: [ 25 / 141 ] simplifiying candidate # 1546942113.238 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546942113.238 * * [misc]simplify: iters left: 4 (5 enodes) 1546942113.240 * * [misc]simplify: iters left: 3 (7 enodes) 1546942113.242 * * [misc]simplify: iters left: 2 (10 enodes) 1546942113.245 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546942113.245 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1546942113.245 * * * * [misc]progress: [ 26 / 141 ] simplifiying candidate # 1546942113.245 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546942113.246 * * [misc]simplify: iters left: 5 (7 enodes) 1546942113.248 * * [misc]simplify: iters left: 4 (10 enodes) 1546942113.251 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546942113.251 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1546942113.251 * * * * [misc]progress: [ 27 / 141 ] simplifiying candidate # 1546942113.251 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546942113.251 * * [misc]simplify: iters left: 5 (7 enodes) 1546942113.253 * * [misc]simplify: iters left: 4 (10 enodes) 1546942113.256 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546942113.256 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1546942113.256 * * * * [misc]progress: [ 28 / 141 ] simplifiying candidate # 1546942113.256 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1546942113.257 * * [misc]simplify: iters left: 5 (7 enodes) 1546942113.259 * * [misc]simplify: iters left: 4 (9 enodes) 1546942113.261 * * [misc]simplify: iters left: 3 (12 enodes) 1546942113.264 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546942113.264 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1546942113.265 * * * * [misc]progress: [ 29 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 30 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 31 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 32 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 33 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 34 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 35 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 36 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 37 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 38 / 141 ] simplifiying candidate # 1546942113.265 * * * * [misc]progress: [ 39 / 141 ] simplifiying candidate # 1546942113.265 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1546942113.266 * * [misc]simplify: iters left: 6 (12 enodes) 1546942113.270 * * [misc]simplify: iters left: 5 (22 enodes) 1546942113.277 * * [misc]simplify: iters left: 4 (40 enodes) 1546942113.293 * * [misc]simplify: iters left: 3 (104 enodes) 1546942113.357 * * [misc]simplify: iters left: 2 (334 enodes) 1546942113.511 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1546942113.511 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1546942113.511 * * * * [misc]progress: [ 40 / 141 ] simplifiying candidate # 1546942113.511 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1546942113.512 * * [misc]simplify: iters left: 6 (12 enodes) 1546942113.514 * * [misc]simplify: iters left: 5 (22 enodes) 1546942113.517 * * [misc]simplify: iters left: 4 (40 enodes) 1546942113.527 * * [misc]simplify: iters left: 3 (104 enodes) 1546942113.572 * * [misc]simplify: iters left: 2 (334 enodes) 1546942113.717 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1546942113.717 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1546942113.717 * * * * [misc]progress: [ 41 / 141 ] simplifiying candidate # 1546942113.718 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1546942113.718 * * [misc]simplify: iters left: 6 (12 enodes) 1546942113.722 * * [misc]simplify: iters left: 5 (19 enodes) 1546942113.728 * * [misc]simplify: iters left: 4 (29 enodes) 1546942113.737 * * [misc]simplify: iters left: 3 (46 enodes) 1546942113.758 * * [misc]simplify: iters left: 2 (134 enodes) 1546942113.852 * * [misc]simplify: iters left: 1 (437 enodes) 1546942114.094 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1546942114.094 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1546942114.094 * * * * [misc]progress: [ 42 / 141 ] simplifiying candidate # 1546942114.094 * * * * [misc]progress: [ 43 / 141 ] simplifiying candidate # 1546942114.094 * * * * [misc]progress: [ 44 / 141 ] simplifiying candidate # 1546942114.095 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1546942114.095 * * [misc]simplify: iters left: 6 (14 enodes) 1546942114.100 * * [misc]simplify: iters left: 5 (26 enodes) 1546942114.108 * * [misc]simplify: iters left: 4 (57 enodes) 1546942114.131 * * [misc]simplify: iters left: 3 (112 enodes) 1546942114.173 * * [misc]simplify: iters left: 2 (189 enodes) 1546942114.235 * * [misc]simplify: iters left: 1 (316 enodes) 1546942114.436 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1546942114.437 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546942114.437 * * * * [misc]progress: [ 45 / 141 ] simplifiying candidate # 1546942114.437 * * * * [misc]progress: [ 46 / 141 ] simplifiying candidate # 1546942114.437 * * * * [misc]progress: [ 47 / 141 ] simplifiying candidate # 1546942114.437 * * * * [misc]progress: [ 48 / 141 ] simplifiying candidate # 1546942114.437 * * * * [misc]progress: [ 49 / 141 ] simplifiying candidate # 1546942114.437 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.437 * * [misc]simplify: iters left: 6 (10 enodes) 1546942114.440 * * [misc]simplify: iters left: 5 (14 enodes) 1546942114.444 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.444 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1546942114.445 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1546942114.445 * * [misc]simplify: iters left: 6 (10 enodes) 1546942114.448 * * [misc]simplify: iters left: 5 (13 enodes) 1546942114.451 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1546942114.451 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1546942114.451 * * * * [misc]progress: [ 50 / 141 ] simplifiying candidate # 1546942114.452 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1546942114.452 * * [misc]simplify: iters left: 5 (9 enodes) 1546942114.454 * * [misc]simplify: iters left: 4 (11 enodes) 1546942114.457 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546942114.457 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1546942114.458 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1546942114.458 * * [misc]simplify: iters left: 6 (10 enodes) 1546942114.461 * * [misc]simplify: iters left: 5 (13 enodes) 1546942114.464 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1546942114.464 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1546942114.464 * * * * [misc]progress: [ 51 / 141 ] simplifiying candidate # 1546942114.465 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1546942114.465 * * [misc]simplify: iters left: 5 (7 enodes) 1546942114.467 * * [misc]simplify: iters left: 4 (11 enodes) 1546942114.470 * * [misc]simplify: iters left: 3 (13 enodes) 1546942114.473 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546942114.473 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1546942114.473 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1546942114.474 * * [misc]simplify: iters left: 6 (9 enodes) 1546942114.476 * * [misc]simplify: iters left: 5 (12 enodes) 1546942114.480 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1546942114.480 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1546942114.480 * * * * [misc]progress: [ 52 / 141 ] simplifiying candidate # 1546942114.481 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.481 * * [misc]simplify: iters left: 6 (10 enodes) 1546942114.484 * * [misc]simplify: iters left: 5 (14 enodes) 1546942114.488 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.488 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1546942114.488 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1546942114.488 * * [misc]simplify: iters left: 6 (10 enodes) 1546942114.491 * * [misc]simplify: iters left: 5 (13 enodes) 1546942114.495 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1546942114.495 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1546942114.495 * * * * [misc]progress: [ 53 / 141 ] simplifiying candidate # 1546942114.495 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1546942114.496 * * [misc]simplify: iters left: 5 (9 enodes) 1546942114.498 * * [misc]simplify: iters left: 4 (11 enodes) 1546942114.501 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546942114.501 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1546942114.501 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1546942114.501 * * [misc]simplify: iters left: 6 (10 enodes) 1546942114.504 * * [misc]simplify: iters left: 5 (13 enodes) 1546942114.508 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1546942114.508 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1546942114.508 * * * * [misc]progress: [ 54 / 141 ] simplifiying candidate # 1546942114.508 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1546942114.508 * * [misc]simplify: iters left: 5 (7 enodes) 1546942114.511 * * [misc]simplify: iters left: 4 (11 enodes) 1546942114.514 * * [misc]simplify: iters left: 3 (13 enodes) 1546942114.516 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546942114.516 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1546942114.517 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1546942114.517 * * [misc]simplify: iters left: 6 (9 enodes) 1546942114.520 * * [misc]simplify: iters left: 5 (12 enodes) 1546942114.523 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1546942114.523 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1546942114.523 * * * * [misc]progress: [ 55 / 141 ] simplifiying candidate # 1546942114.523 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.524 * * [misc]simplify: iters left: 6 (11 enodes) 1546942114.527 * * [misc]simplify: iters left: 5 (15 enodes) 1546942114.532 * * [misc]simplify: iters left: 4 (18 enodes) 1546942114.537 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.537 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546942114.537 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942114.537 * * [misc]simplify: iters left: 6 (9 enodes) 1546942114.540 * * [misc]simplify: iters left: 5 (11 enodes) 1546942114.544 * * [misc]simplify: iters left: 4 (14 enodes) 1546942114.548 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942114.548 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546942114.549 * * * * [misc]progress: [ 56 / 141 ] simplifiying candidate # 1546942114.549 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942114.549 * * [misc]simplify: iters left: 6 (10 enodes) 1546942114.552 * * [misc]simplify: iters left: 5 (12 enodes) 1546942114.555 * * [misc]simplify: iters left: 4 (15 enodes) 1546942114.560 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942114.560 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546942114.560 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942114.560 * * [misc]simplify: iters left: 6 (9 enodes) 1546942114.563 * * [misc]simplify: iters left: 5 (11 enodes) 1546942114.566 * * [misc]simplify: iters left: 4 (14 enodes) 1546942114.570 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942114.570 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546942114.570 * * * * [misc]progress: [ 57 / 141 ] simplifiying candidate # 1546942114.570 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1546942114.570 * * [misc]simplify: iters left: 6 (9 enodes) 1546942114.573 * * [misc]simplify: iters left: 5 (13 enodes) 1546942114.577 * * [misc]simplify: iters left: 4 (18 enodes) 1546942114.582 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546942114.582 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1546942114.582 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1546942114.582 * * [misc]simplify: iters left: 6 (8 enodes) 1546942114.584 * * [misc]simplify: iters left: 5 (10 enodes) 1546942114.587 * * [misc]simplify: iters left: 4 (13 enodes) 1546942114.591 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1546942114.591 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1546942114.591 * * * * [misc]progress: [ 58 / 141 ] simplifiying candidate # 1546942114.591 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.592 * * [misc]simplify: iters left: 6 (14 enodes) 1546942114.596 * * [misc]simplify: iters left: 5 (23 enodes) 1546942114.603 * * [misc]simplify: iters left: 4 (35 enodes) 1546942114.612 * * [misc]simplify: iters left: 3 (38 enodes) 1546942114.622 * * [misc]simplify: iters left: 2 (41 enodes) 1546942114.633 * [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)))) 1546942114.633 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1546942114.633 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942114.633 * * [misc]simplify: iters left: 6 (12 enodes) 1546942114.637 * * [misc]simplify: iters left: 5 (15 enodes) 1546942114.641 * * [misc]simplify: iters left: 4 (18 enodes) 1546942114.646 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942114.646 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1546942114.647 * * * * [misc]progress: [ 59 / 141 ] simplifiying candidate # 1546942114.647 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546942114.647 * * [misc]simplify: iters left: 6 (13 enodes) 1546942114.651 * * [misc]simplify: iters left: 5 (18 enodes) 1546942114.656 * * [misc]simplify: iters left: 4 (23 enodes) 1546942114.662 * * [misc]simplify: iters left: 3 (24 enodes) 1546942114.669 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546942114.669 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1546942114.669 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942114.670 * * [misc]simplify: iters left: 6 (12 enodes) 1546942114.673 * * [misc]simplify: iters left: 5 (15 enodes) 1546942114.677 * * [misc]simplify: iters left: 4 (18 enodes) 1546942114.682 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942114.682 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1546942114.683 * * * * [misc]progress: [ 60 / 141 ] simplifiying candidate # 1546942114.683 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1546942114.683 * * [misc]simplify: iters left: 6 (12 enodes) 1546942114.685 * * [misc]simplify: iters left: 5 (19 enodes) 1546942114.689 * * [misc]simplify: iters left: 4 (28 enodes) 1546942114.692 * * [misc]simplify: iters left: 3 (42 enodes) 1546942114.698 * * [misc]simplify: iters left: 2 (68 enodes) 1546942114.706 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546942114.707 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1546942114.707 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1546942114.707 * * [misc]simplify: iters left: 6 (11 enodes) 1546942114.708 * * [misc]simplify: iters left: 5 (14 enodes) 1546942114.710 * * [misc]simplify: iters left: 4 (17 enodes) 1546942114.713 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1546942114.713 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1546942114.713 * * * * [misc]progress: [ 61 / 141 ] simplifiying candidate # 1546942114.713 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.713 * * [misc]simplify: iters left: 6 (13 enodes) 1546942114.715 * * [misc]simplify: iters left: 5 (18 enodes) 1546942114.717 * * [misc]simplify: iters left: 4 (21 enodes) 1546942114.720 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.720 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1546942114.720 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942114.720 * * [misc]simplify: iters left: 6 (12 enodes) 1546942114.722 * * [misc]simplify: iters left: 5 (15 enodes) 1546942114.724 * * [misc]simplify: iters left: 4 (18 enodes) 1546942114.726 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942114.726 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1546942114.727 * * * * [misc]progress: [ 62 / 141 ] simplifiying candidate # 1546942114.727 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942114.727 * * [misc]simplify: iters left: 6 (12 enodes) 1546942114.728 * * [misc]simplify: iters left: 5 (15 enodes) 1546942114.730 * * [misc]simplify: iters left: 4 (18 enodes) 1546942114.733 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942114.733 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1546942114.733 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942114.733 * * [misc]simplify: iters left: 6 (12 enodes) 1546942114.735 * * [misc]simplify: iters left: 5 (15 enodes) 1546942114.737 * * [misc]simplify: iters left: 4 (18 enodes) 1546942114.739 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942114.739 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1546942114.739 * * * * [misc]progress: [ 63 / 141 ] simplifiying candidate # 1546942114.739 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1546942114.739 * * [misc]simplify: iters left: 6 (11 enodes) 1546942114.741 * * [misc]simplify: iters left: 5 (16 enodes) 1546942114.744 * * [misc]simplify: iters left: 4 (21 enodes) 1546942114.746 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546942114.746 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1546942114.746 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1546942114.746 * * [misc]simplify: iters left: 6 (11 enodes) 1546942114.748 * * [misc]simplify: iters left: 5 (14 enodes) 1546942114.750 * * [misc]simplify: iters left: 4 (17 enodes) 1546942114.752 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1546942114.752 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1546942114.752 * * * * [misc]progress: [ 64 / 141 ] simplifiying candidate # 1546942114.752 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546942114.752 * * [misc]simplify: iters left: 6 (6 enodes) 1546942114.753 * * [misc]simplify: iters left: 5 (10 enodes) 1546942114.754 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1546942114.754 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546942114.755 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942114.755 * * [misc]simplify: iters left: 6 (11 enodes) 1546942114.757 * * [misc]simplify: iters left: 5 (14 enodes) 1546942114.759 * * [misc]simplify: iters left: 4 (17 enodes) 1546942114.761 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942114.762 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546942114.762 * * * * [misc]progress: [ 65 / 141 ] simplifiying candidate # 1546942114.762 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1546942114.762 * * [misc]simplify: iters left: 4 (5 enodes) 1546942114.763 * * [misc]simplify: iters left: 3 (7 enodes) 1546942114.763 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546942114.763 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546942114.764 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942114.764 * * [misc]simplify: iters left: 6 (11 enodes) 1546942114.765 * * [misc]simplify: iters left: 5 (14 enodes) 1546942114.767 * * [misc]simplify: iters left: 4 (17 enodes) 1546942114.769 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942114.769 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546942114.769 * * * * [misc]progress: [ 66 / 141 ] simplifiying candidate # 1546942114.770 * [enter]simplify: Simplifying (/ 1 1) 1546942114.770 * * [misc]simplify: iters left: 2 (2 enodes) 1546942114.770 * * [misc]simplify: iters left: 1 (4 enodes) 1546942114.770 * [exit]simplify: Simplified to 1 1546942114.770 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1546942114.771 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546942114.771 * * [misc]simplify: iters left: 6 (10 enodes) 1546942114.772 * * [misc]simplify: iters left: 5 (13 enodes) 1546942114.774 * * [misc]simplify: iters left: 4 (16 enodes) 1546942114.776 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546942114.776 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1546942114.776 * * * * [misc]progress: [ 67 / 141 ] simplifiying candidate # 1546942114.776 * * * * [misc]progress: [ 68 / 141 ] simplifiying candidate # 1546942114.777 * * * * [misc]progress: [ 69 / 141 ] simplifiying candidate # 1546942114.777 * * * * [misc]progress: [ 70 / 141 ] simplifiying candidate # 1546942114.777 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546942114.777 * * [misc]simplify: iters left: 2 (3 enodes) 1546942114.777 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546942114.777 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1546942114.777 * * * * [misc]progress: [ 71 / 141 ] simplifiying candidate # 1546942114.777 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546942114.777 * * [misc]simplify: iters left: 2 (3 enodes) 1546942114.778 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546942114.778 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1546942114.778 * * * * [misc]progress: [ 72 / 141 ] simplifiying candidate # 1546942114.778 * [enter]simplify: Simplifying (sqrt k) 1546942114.778 * * [misc]simplify: iters left: 1 (2 enodes) 1546942114.778 * [exit]simplify: Simplified to (sqrt k) 1546942114.778 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)))) 1546942114.778 * * * * [misc]progress: [ 73 / 141 ] simplifiying candidate # 1546942114.779 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1546942114.779 * * [misc]simplify: iters left: 3 (5 enodes) 1546942114.779 * * [misc]simplify: iters left: 2 (7 enodes) 1546942114.780 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546942114.780 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546942114.780 * * * * [misc]progress: [ 74 / 141 ] simplifiying candidate # 1546942114.780 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1546942114.780 * * [misc]simplify: iters left: 3 (5 enodes) 1546942114.781 * * [misc]simplify: iters left: 2 (7 enodes) 1546942114.782 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546942114.782 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546942114.782 * * * * [misc]progress: [ 75 / 141 ] simplifiying candidate # 1546942114.782 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1546942114.782 * * [misc]simplify: iters left: 5 (7 enodes) 1546942114.783 * * [misc]simplify: iters left: 4 (9 enodes) 1546942114.785 * * [misc]simplify: iters left: 3 (12 enodes) 1546942114.786 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546942114.786 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546942114.786 * * * * [misc]progress: [ 76 / 141 ] simplifiying candidate # 1546942114.786 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546942114.786 * * [misc]simplify: iters left: 6 (10 enodes) 1546942114.789 * * [misc]simplify: iters left: 5 (13 enodes) 1546942114.793 * * [misc]simplify: iters left: 4 (16 enodes) 1546942114.797 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546942114.797 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546942114.797 * * * * [misc]progress: [ 77 / 141 ] simplifiying candidate # 1546942114.798 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546942114.798 * * [misc]simplify: iters left: 6 (9 enodes) 1546942114.800 * * [misc]simplify: iters left: 5 (12 enodes) 1546942114.804 * * [misc]simplify: iters left: 4 (15 enodes) 1546942114.808 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546942114.808 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546942114.808 * * * * [misc]progress: [ 78 / 141 ] simplifiying candidate # 1546942114.808 * * * * [misc]progress: [ 79 / 141 ] simplifiying candidate # 1546942114.808 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1546942114.808 * * [misc]simplify: iters left: 3 (5 enodes) 1546942114.810 * * [misc]simplify: iters left: 2 (7 enodes) 1546942114.812 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546942114.812 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2)))))) 1546942114.812 * * * * [misc]progress: [ 80 / 141 ] simplifiying candidate # 1546942114.812 * * * * [misc]progress: [ 81 / 141 ] simplifiying candidate # 1546942114.812 * * * * [misc]progress: [ 82 / 141 ] simplifiying candidate # 1546942114.812 * * * * [misc]progress: [ 83 / 141 ] simplifiying candidate # 1546942114.812 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1546942114.813 * * [misc]simplify: iters left: 6 (16 enodes) 1546942114.818 * * [misc]simplify: iters left: 5 (31 enodes) 1546942114.828 * * [misc]simplify: iters left: 4 (66 enodes) 1546942114.860 * * [misc]simplify: iters left: 3 (212 enodes) 1546942114.996 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1546942114.996 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1546942114.996 * * * * [misc]progress: [ 84 / 141 ] simplifiying candidate # 1546942114.996 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1546942114.996 * * [misc]simplify: iters left: 6 (16 enodes) 1546942114.999 * * [misc]simplify: iters left: 5 (31 enodes) 1546942115.005 * * [misc]simplify: iters left: 4 (66 enodes) 1546942115.030 * * [misc]simplify: iters left: 3 (212 enodes) 1546942115.153 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1546942115.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1546942115.153 * * * * [misc]progress: [ 85 / 141 ] simplifiying candidate # 1546942115.154 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1546942115.154 * * [misc]simplify: iters left: 6 (16 enodes) 1546942115.157 * * [misc]simplify: iters left: 5 (28 enodes) 1546942115.164 * * [misc]simplify: iters left: 4 (55 enodes) 1546942115.175 * * [misc]simplify: iters left: 3 (129 enodes) 1546942115.209 * * [misc]simplify: iters left: 2 (441 enodes) 1546942115.657 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1546942115.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1546942115.657 * * * * [misc]progress: [ 86 / 141 ] simplifiying candidate # 1546942115.657 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942115.657 * * [misc]simplify: iters left: 6 (15 enodes) 1546942115.660 * * [misc]simplify: iters left: 5 (24 enodes) 1546942115.663 * * [misc]simplify: iters left: 4 (42 enodes) 1546942115.671 * * [misc]simplify: iters left: 3 (90 enodes) 1546942115.694 * * [misc]simplify: iters left: 2 (207 enodes) 1546942115.864 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1546942115.864 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1546942115.864 * * * * [misc]progress: [ 87 / 141 ] simplifiying candidate # 1546942115.864 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1546942115.864 * * [misc]simplify: iters left: 6 (16 enodes) 1546942115.867 * * [misc]simplify: iters left: 5 (31 enodes) 1546942115.872 * * [misc]simplify: iters left: 4 (60 enodes) 1546942115.885 * * [misc]simplify: iters left: 3 (180 enodes) 1546942116.000 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1546942116.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1546942116.001 * * * * [misc]progress: [ 88 / 141 ] simplifiying candidate # 1546942116.001 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1546942116.001 * * [misc]simplify: iters left: 6 (16 enodes) 1546942116.004 * * [misc]simplify: iters left: 5 (31 enodes) 1546942116.009 * * [misc]simplify: iters left: 4 (60 enodes) 1546942116.022 * * [misc]simplify: iters left: 3 (180 enodes) 1546942116.169 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1546942116.169 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1546942116.169 * * * * [misc]progress: [ 89 / 141 ] simplifiying candidate # 1546942116.170 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1546942116.170 * * [misc]simplify: iters left: 6 (16 enodes) 1546942116.175 * * [misc]simplify: iters left: 5 (28 enodes) 1546942116.184 * * [misc]simplify: iters left: 4 (49 enodes) 1546942116.200 * * [misc]simplify: iters left: 3 (97 enodes) 1546942116.261 * * [misc]simplify: iters left: 2 (353 enodes) 1546942116.576 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1546942116.576 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1546942116.577 * * * * [misc]progress: [ 90 / 141 ] simplifiying candidate # 1546942116.577 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942116.577 * * [misc]simplify: iters left: 6 (15 enodes) 1546942116.579 * * [misc]simplify: iters left: 5 (24 enodes) 1546942116.582 * * [misc]simplify: iters left: 4 (37 enodes) 1546942116.589 * * [misc]simplify: iters left: 3 (66 enodes) 1546942116.603 * * [misc]simplify: iters left: 2 (180 enodes) 1546942116.714 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))) 1546942116.714 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))))) 1546942116.714 * * * * [misc]progress: [ 91 / 141 ] simplifiying candidate # 1546942116.714 * * * * [misc]progress: [ 92 / 141 ] simplifiying candidate # 1546942116.714 * * * * [misc]progress: [ 93 / 141 ] simplifiying candidate # 1546942116.715 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1546942116.715 * * [misc]simplify: iters left: 6 (19 enodes) 1546942116.721 * * [misc]simplify: iters left: 5 (37 enodes) 1546942116.738 * * [misc]simplify: iters left: 4 (114 enodes) 1546942116.802 * * [misc]simplify: iters left: 3 (443 enodes) 1546942117.278 * [exit]simplify: Simplified to (* (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1546942117.278 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1546942117.278 * * * * [misc]progress: [ 94 / 141 ] simplifiying candidate # 1546942117.279 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942117.279 * * [misc]simplify: iters left: 6 (17 enodes) 1546942117.285 * * [misc]simplify: iters left: 5 (33 enodes) 1546942117.297 * * [misc]simplify: iters left: 4 (87 enodes) 1546942117.334 * * [misc]simplify: iters left: 3 (222 enodes) 1546942117.487 * [exit]simplify: Simplified to (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1546942117.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1546942117.487 * * * * [misc]progress: [ 95 / 141 ] simplifiying candidate # 1546942117.487 * * * * [misc]progress: [ 96 / 141 ] simplifiying candidate # 1546942117.487 * * * * [misc]progress: [ 97 / 141 ] simplifiying candidate # 1546942117.487 * * * * [misc]progress: [ 98 / 141 ] simplifiying candidate # 1546942117.488 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1546942117.488 * * [misc]simplify: iters left: 6 (11 enodes) 1546942117.491 * * [misc]simplify: iters left: 5 (16 enodes) 1546942117.496 * * [misc]simplify: iters left: 4 (19 enodes) 1546942117.501 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1546942117.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1546942117.501 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (sqrt k)) 1546942117.501 * * [misc]simplify: iters left: 5 (7 enodes) 1546942117.503 * * [misc]simplify: iters left: 4 (8 enodes) 1546942117.509 * [exit]simplify: Simplified to (* (pow PI (/ k 2)) (sqrt k)) 1546942117.509 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1546942117.509 * * * * [misc]progress: [ 99 / 141 ] simplifiying candidate # 1546942117.509 * * * * [misc]progress: [ 100 / 141 ] simplifiying candidate # 1546942117.509 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942117.509 * * [misc]simplify: iters left: 6 (11 enodes) 1546942117.513 * * [misc]simplify: iters left: 5 (14 enodes) 1546942117.517 * * [misc]simplify: iters left: 4 (17 enodes) 1546942117.522 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942117.522 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1546942117.522 * * * * [misc]progress: [ 101 / 141 ] simplifiying candidate # 1546942117.522 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942117.522 * * [misc]simplify: iters left: 6 (11 enodes) 1546942117.525 * * [misc]simplify: iters left: 5 (14 enodes) 1546942117.530 * * [misc]simplify: iters left: 4 (17 enodes) 1546942117.535 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942117.535 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1546942117.535 * * * * [misc]progress: [ 102 / 141 ] simplifiying candidate # 1546942117.535 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1546942117.535 * * [misc]simplify: iters left: 6 (10 enodes) 1546942117.538 * * [misc]simplify: iters left: 5 (13 enodes) 1546942117.542 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1546942117.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1546942117.542 * * * * [misc]progress: [ 103 / 141 ] simplifiying candidate # 1546942117.542 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1546942117.542 * * [misc]simplify: iters left: 6 (10 enodes) 1546942117.545 * * [misc]simplify: iters left: 5 (13 enodes) 1546942117.549 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1546942117.549 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1546942117.549 * * * * [misc]progress: [ 104 / 141 ] simplifiying candidate # 1546942117.550 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1546942117.550 * * [misc]simplify: iters left: 6 (9 enodes) 1546942117.552 * * [misc]simplify: iters left: 5 (12 enodes) 1546942117.556 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1546942117.556 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1546942117.556 * * * * [misc]progress: [ 105 / 141 ] simplifiying candidate # 1546942117.556 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1546942117.556 * * [misc]simplify: iters left: 6 (10 enodes) 1546942117.559 * * [misc]simplify: iters left: 5 (13 enodes) 1546942117.563 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1546942117.563 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1546942117.563 * * * * [misc]progress: [ 106 / 141 ] simplifiying candidate # 1546942117.563 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1546942117.564 * * [misc]simplify: iters left: 6 (10 enodes) 1546942117.567 * * [misc]simplify: iters left: 5 (13 enodes) 1546942117.570 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1546942117.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1546942117.570 * * * * [misc]progress: [ 107 / 141 ] simplifiying candidate # 1546942117.571 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1546942117.571 * * [misc]simplify: iters left: 6 (9 enodes) 1546942117.573 * * [misc]simplify: iters left: 5 (12 enodes) 1546942117.577 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1546942117.577 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1546942117.577 * * * * [misc]progress: [ 108 / 141 ] simplifiying candidate # 1546942117.577 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942117.577 * * [misc]simplify: iters left: 6 (9 enodes) 1546942117.580 * * [misc]simplify: iters left: 5 (11 enodes) 1546942117.583 * * [misc]simplify: iters left: 4 (14 enodes) 1546942117.587 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942117.587 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546942117.587 * * * * [misc]progress: [ 109 / 141 ] simplifiying candidate # 1546942117.588 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942117.588 * * [misc]simplify: iters left: 6 (9 enodes) 1546942117.590 * * [misc]simplify: iters left: 5 (11 enodes) 1546942117.594 * * [misc]simplify: iters left: 4 (14 enodes) 1546942117.597 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942117.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546942117.597 * * * * [misc]progress: [ 110 / 141 ] simplifiying candidate # 1546942117.598 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1546942117.598 * * [misc]simplify: iters left: 6 (8 enodes) 1546942117.600 * * [misc]simplify: iters left: 5 (10 enodes) 1546942117.603 * * [misc]simplify: iters left: 4 (13 enodes) 1546942117.607 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1546942117.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1546942117.607 * * * * [misc]progress: [ 111 / 141 ] simplifiying candidate # 1546942117.607 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942117.607 * * [misc]simplify: iters left: 6 (12 enodes) 1546942117.611 * * [misc]simplify: iters left: 5 (15 enodes) 1546942117.615 * * [misc]simplify: iters left: 4 (18 enodes) 1546942117.620 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942117.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546942117.620 * * * * [misc]progress: [ 112 / 141 ] simplifiying candidate # 1546942117.620 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942117.620 * * [misc]simplify: iters left: 6 (12 enodes) 1546942117.624 * * [misc]simplify: iters left: 5 (15 enodes) 1546942117.628 * * [misc]simplify: iters left: 4 (18 enodes) 1546942117.633 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942117.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546942117.633 * * * * [misc]progress: [ 113 / 141 ] simplifiying candidate # 1546942117.634 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1546942117.634 * * [misc]simplify: iters left: 6 (11 enodes) 1546942117.637 * * [misc]simplify: iters left: 5 (14 enodes) 1546942117.641 * * [misc]simplify: iters left: 4 (17 enodes) 1546942117.646 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1546942117.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1546942117.646 * * * * [misc]progress: [ 114 / 141 ] simplifiying candidate # 1546942117.646 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942117.647 * * [misc]simplify: iters left: 6 (12 enodes) 1546942117.650 * * [misc]simplify: iters left: 5 (15 enodes) 1546942117.654 * * [misc]simplify: iters left: 4 (18 enodes) 1546942117.660 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546942117.660 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546942117.660 * * * * [misc]progress: [ 115 / 141 ] simplifiying candidate # 1546942117.660 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942117.660 * * [misc]simplify: iters left: 6 (12 enodes) 1546942117.664 * * [misc]simplify: iters left: 5 (15 enodes) 1546942117.668 * * [misc]simplify: iters left: 4 (18 enodes) 1546942117.673 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546942117.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546942117.673 * * * * [misc]progress: [ 116 / 141 ] simplifiying candidate # 1546942117.674 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1546942117.674 * * [misc]simplify: iters left: 6 (11 enodes) 1546942117.677 * * [misc]simplify: iters left: 5 (14 enodes) 1546942117.681 * * [misc]simplify: iters left: 4 (17 enodes) 1546942117.685 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1546942117.685 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1546942117.685 * * * * [misc]progress: [ 117 / 141 ] simplifiying candidate # 1546942117.686 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942117.686 * * [misc]simplify: iters left: 6 (11 enodes) 1546942117.689 * * [misc]simplify: iters left: 5 (14 enodes) 1546942117.693 * * [misc]simplify: iters left: 4 (17 enodes) 1546942117.697 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546942117.697 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546942117.697 * * * * [misc]progress: [ 118 / 141 ] simplifiying candidate # 1546942117.697 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942117.697 * * [misc]simplify: iters left: 6 (11 enodes) 1546942117.698 * * [misc]simplify: iters left: 5 (14 enodes) 1546942117.700 * * [misc]simplify: iters left: 4 (17 enodes) 1546942117.702 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546942117.703 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546942117.703 * * * * [misc]progress: [ 119 / 141 ] simplifiying candidate # 1546942117.703 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546942117.703 * * [misc]simplify: iters left: 6 (10 enodes) 1546942117.704 * * [misc]simplify: iters left: 5 (13 enodes) 1546942117.706 * * [misc]simplify: iters left: 4 (16 enodes) 1546942117.708 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546942117.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942117.708 * * * * [misc]progress: [ 120 / 141 ] simplifiying candidate # 1546942117.708 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546942117.708 * * [misc]simplify: iters left: 6 (10 enodes) 1546942117.710 * * [misc]simplify: iters left: 5 (13 enodes) 1546942117.711 * * [misc]simplify: iters left: 4 (16 enodes) 1546942117.714 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546942117.714 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942117.714 * * * * [misc]progress: [ 121 / 141 ] simplifiying candidate # 1546942117.714 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1546942117.714 * * [misc]simplify: iters left: 3 (4 enodes) 1546942117.715 * * [misc]simplify: iters left: 2 (6 enodes) 1546942117.715 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546942117.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))) 1546942117.715 * * * * [misc]progress: [ 122 / 141 ] simplifiying candidate # 1546942117.715 * [enter]simplify: Simplifying (pow PI 1/2) 1546942117.715 * * [misc]simplify: iters left: 1 (3 enodes) 1546942117.716 * [exit]simplify: Simplified to (sqrt PI) 1546942117.716 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1546942117.716 * * * * [misc]progress: [ 123 / 141 ] simplifiying candidate # 1546942117.716 * [enter]simplify: Simplifying (pow PI 1/2) 1546942117.716 * * [misc]simplify: iters left: 1 (3 enodes) 1546942117.717 * [exit]simplify: Simplified to (sqrt PI) 1546942117.717 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1546942117.717 * * * * [misc]progress: [ 124 / 141 ] simplifiying candidate # 1546942117.717 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546942117.717 * * [misc]simplify: iters left: 6 (9 enodes) 1546942117.718 * * [misc]simplify: iters left: 5 (11 enodes) 1546942117.720 * * [misc]simplify: iters left: 4 (14 enodes) 1546942117.721 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546942117.722 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1546942117.722 * * * * [misc]progress: [ 125 / 141 ] simplifiying candidate # 1546942117.722 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1546942117.722 * * [misc]simplify: iters left: 6 (8 enodes) 1546942117.723 * * [misc]simplify: iters left: 5 (10 enodes) 1546942117.724 * * [misc]simplify: iters left: 4 (13 enodes) 1546942117.726 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546942117.726 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1546942117.726 * * * * [misc]progress: [ 126 / 141 ] simplifiying candidate # 1546942117.726 * * * * [misc]progress: [ 127 / 141 ] simplifiying candidate # 1546942117.726 * [enter]simplify: Simplifying (sqrt k) 1546942117.726 * * [misc]simplify: iters left: 1 (2 enodes) 1546942117.727 * [exit]simplify: Simplified to (sqrt k) 1546942117.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1546942117.727 * * * * [misc]progress: [ 128 / 141 ] simplifiying candidate # 1546942117.727 * [enter]simplify: Simplifying (* (pow PI 1/2) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1546942117.727 * * [misc]simplify: iters left: 6 (13 enodes) 1546942117.731 * * [misc]simplify: iters left: 5 (20 enodes) 1546942117.736 * * [misc]simplify: iters left: 4 (27 enodes) 1546942117.743 * * [misc]simplify: iters left: 3 (29 enodes) 1546942117.750 * * [misc]simplify: iters left: 2 (31 enodes) 1546942117.757 * * [misc]simplify: iters left: 1 (32 enodes) 1546942117.760 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546942117.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) 1546942117.761 * * * * [misc]progress: [ 129 / 141 ] simplifiying candidate # 1546942117.761 * * * * [misc]progress: [ 130 / 141 ] simplifiying candidate # 1546942117.761 * [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)))) 1546942117.761 * * [misc]simplify: iters left: 6 (18 enodes) 1546942117.764 * * [misc]simplify: iters left: 5 (39 enodes) 1546942117.772 * * [misc]simplify: iters left: 4 (110 enodes) 1546942117.795 * * [misc]simplify: iters left: 3 (321 enodes) 1546942117.981 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1546942117.981 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942117.981 * * * * [misc]progress: [ 131 / 141 ] simplifiying candidate # 1546942117.981 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546942117.981 * * [misc]simplify: iters left: 5 (6 enodes) 1546942117.982 * * [misc]simplify: iters left: 4 (9 enodes) 1546942117.984 * * [misc]simplify: iters left: 3 (17 enodes) 1546942117.986 * * [misc]simplify: iters left: 2 (24 enodes) 1546942117.990 * * [misc]simplify: iters left: 1 (28 enodes) 1546942118.002 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1546942118.002 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (fma k -1/2 1/2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942118.002 * * * * [misc]progress: [ 132 / 141 ] simplifiying candidate # 1546942118.003 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546942118.003 * * [misc]simplify: iters left: 5 (6 enodes) 1546942118.005 * * [misc]simplify: iters left: 4 (9 enodes) 1546942118.008 * * [misc]simplify: iters left: 3 (17 enodes) 1546942118.016 * * [misc]simplify: iters left: 2 (24 enodes) 1546942118.021 * * [misc]simplify: iters left: 1 (28 enodes) 1546942118.033 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1546942118.033 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (fma k -1/2 1/2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546942118.033 * * * * [misc]progress: [ 133 / 141 ] simplifiying candidate # 1546942118.033 * [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))))) 1546942118.034 * * [misc]simplify: iters left: 6 (35 enodes) 1546942118.048 * * [misc]simplify: iters left: 5 (102 enodes) 1546942118.090 * * [misc]simplify: iters left: 4 (321 enodes) 1546942118.276 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1546942118.276 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) (sqrt k)))) 1546942118.276 * * * * [misc]progress: [ 134 / 141 ] simplifiying candidate # 1546942118.277 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1546942118.277 * * [misc]simplify: iters left: 6 (13 enodes) 1546942118.282 * * [misc]simplify: iters left: 5 (27 enodes) 1546942118.291 * * [misc]simplify: iters left: 4 (53 enodes) 1546942118.309 * * [misc]simplify: iters left: 3 (124 enodes) 1546942118.360 * * [misc]simplify: iters left: 2 (394 enodes) 1546942118.819 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1546942118.819 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (fma -1/2 k 1/2)) (sqrt k)))) 1546942118.819 * * * * [misc]progress: [ 135 / 141 ] simplifiying candidate # 1546942118.819 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1546942118.819 * * [misc]simplify: iters left: 6 (13 enodes) 1546942118.825 * * [misc]simplify: iters left: 5 (24 enodes) 1546942118.834 * * [misc]simplify: iters left: 4 (54 enodes) 1546942118.856 * * [misc]simplify: iters left: 3 (151 enodes) 1546942118.940 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1546942118.941 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k)))) 1546942118.941 * * * * [misc]progress: [ 136 / 141 ] simplifiying candidate # 1546942118.941 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1546942118.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1546942118.941 * * * * [misc]progress: [ 137 / 141 ] simplifiying candidate # 1546942118.941 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1546942118.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1546942118.941 * * * * [misc]progress: [ 138 / 141 ] simplifiying candidate # 1546942118.941 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1546942118.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1546942118.941 * * * * [misc]progress: [ 139 / 141 ] simplifiying candidate # 1546942118.941 * [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))))))))))))))) 1546942118.942 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546942118.942 * * * * [misc]progress: [ 140 / 141 ] simplifiying candidate # 1546942118.942 * [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)))))))) 1546942118.942 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546942118.942 * * * * [misc]progress: [ 141 / 141 ] simplifiying candidate # 1546942118.942 * [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)))))))) 1546942118.942 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546942118.942 * * * [misc]progress: adding candidates to table 1546942120.639 * [misc]progress: [Phase 3 of 3] Extracting. 1546942120.639 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1546942120.641 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1546942120.641 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1546942120.702 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1546942120.750 * * * [misc]regime: Found split indices: #