1545218115.922 * [misc]progress: [Phase 1 of 3] Setting up. 1545218115.922 * * * [misc]progress: [1/2] Preparing points 1545218115.922 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545218116.058 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.058 * * * * [misc]points: Sampling 182 additional inputs, on iter 1 have 74 / 256 1545218116.136 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.137 * * * * [misc]points: Sampling 131 additional inputs, on iter 2 have 125 / 256 1545218116.194 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.194 * * * * [misc]points: Sampling 91 additional inputs, on iter 3 have 165 / 256 1545218116.272 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.272 * * * * [misc]points: Sampling 71 additional inputs, on iter 4 have 185 / 256 1545218116.306 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.306 * * * * [misc]points: Sampling 60 additional inputs, on iter 5 have 196 / 256 1545218116.336 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.336 * * * * [misc]points: Sampling 42 additional inputs, on iter 6 have 214 / 256 1545218116.353 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.353 * * * * [misc]points: Sampling 34 additional inputs, on iter 7 have 222 / 256 1545218116.362 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.362 * * * * [misc]points: Sampling 23 additional inputs, on iter 8 have 233 / 256 1545218116.369 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.370 * * * * [misc]points: Sampling 17 additional inputs, on iter 9 have 239 / 256 1545218116.375 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.375 * * * * [misc]points: Sampling 14 additional inputs, on iter 10 have 242 / 256 1545218116.385 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.385 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1545218116.393 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.393 * * * * [misc]points: Sampling 9 additional inputs, on iter 12 have 247 / 256 1545218116.401 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.401 * * * * [misc]points: Sampling 7 additional inputs, on iter 13 have 249 / 256 1545218116.407 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.407 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 1545218116.410 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.410 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 252 / 256 1545218116.440 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.441 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 254 / 256 1545218116.443 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.443 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 255 / 256 1545218116.446 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.446 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 1545218116.449 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.449 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1545218116.454 * * * * [misc]points: Filtering points with unrepresentable outputs 1545218116.454 * * * * [exit]points: Sampled 257 points with exact outputs 1545218116.454 * * * [misc]progress: [2/2] Setting up program. 1545218116.458 * [misc]progress: [Phase 2 of 3] Improving. 1545218116.458 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545218116.458 * * [misc]simplify: iters left: 6 (13 enodes) 1545218116.461 * * [misc]simplify: iters left: 5 (28 enodes) 1545218116.465 * * [misc]simplify: iters left: 4 (44 enodes) 1545218116.471 * * [misc]simplify: iters left: 3 (54 enodes) 1545218116.476 * * [misc]simplify: iters left: 2 (57 enodes) 1545218116.485 * * [misc]simplify: iters left: 1 (65 enodes) 1545218116.498 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545218116.505 * * [misc]progress: iteration 1 / 4 1545218116.505 * * * [misc]progress: picking best candidate 1545218116.512 * * * * [misc]pick: Picked # 1545218116.512 * * * [misc]progress: localizing error 1545218116.539 * * * [misc]progress: generating rewritten candidates 1545218116.539 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545218116.543 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545218116.546 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545218116.554 * * * [misc]progress: generating series expansions 1545218116.554 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545218116.554 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545218116.554 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545218116.554 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545218116.554 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545218116.554 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545218116.554 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218116.554 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.554 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218116.554 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.554 * [misc]taylor: Taking taylor expansion of k in k 1545218116.554 * [misc]backup-simplify: Simplify 0 into 0 1545218116.554 * [misc]backup-simplify: Simplify 1 into 1 1545218116.554 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545218116.554 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545218116.554 * [misc]taylor: Taking taylor expansion of 2 in k 1545218116.554 * [misc]backup-simplify: Simplify 2 into 2 1545218116.554 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545218116.554 * [misc]taylor: Taking taylor expansion of n in k 1545218116.554 * [misc]backup-simplify: Simplify n into n 1545218116.554 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.554 * [misc]backup-simplify: Simplify PI into PI 1545218116.554 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545218116.554 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545218116.555 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545218116.555 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218116.555 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.555 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218116.555 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545218116.555 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545218116.555 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545218116.555 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545218116.555 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545218116.555 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218116.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.555 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218116.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.555 * [misc]taylor: Taking taylor expansion of k in n 1545218116.555 * [misc]backup-simplify: Simplify k into k 1545218116.555 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218116.555 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218116.555 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.555 * [misc]backup-simplify: Simplify 2 into 2 1545218116.555 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218116.555 * [misc]taylor: Taking taylor expansion of n in n 1545218116.555 * [misc]backup-simplify: Simplify 0 into 0 1545218116.555 * [misc]backup-simplify: Simplify 1 into 1 1545218116.555 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.555 * [misc]backup-simplify: Simplify PI into PI 1545218116.556 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218116.556 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218116.556 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218116.557 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218116.557 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.557 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218116.557 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218116.557 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218116.558 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.558 * [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)))) 1545218116.558 * [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))))) 1545218116.558 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545218116.558 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545218116.558 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545218116.558 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218116.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.558 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218116.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.558 * [misc]taylor: Taking taylor expansion of k in n 1545218116.559 * [misc]backup-simplify: Simplify k into k 1545218116.559 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218116.559 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218116.559 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.559 * [misc]backup-simplify: Simplify 2 into 2 1545218116.559 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218116.559 * [misc]taylor: Taking taylor expansion of n in n 1545218116.559 * [misc]backup-simplify: Simplify 0 into 0 1545218116.559 * [misc]backup-simplify: Simplify 1 into 1 1545218116.559 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.559 * [misc]backup-simplify: Simplify PI into PI 1545218116.559 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218116.559 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218116.559 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218116.560 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218116.560 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.560 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218116.560 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218116.560 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218116.561 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.561 * [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)))) 1545218116.561 * [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))))) 1545218116.561 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545218116.561 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545218116.561 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218116.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.561 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218116.562 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.562 * [misc]taylor: Taking taylor expansion of k in k 1545218116.562 * [misc]backup-simplify: Simplify 0 into 0 1545218116.562 * [misc]backup-simplify: Simplify 1 into 1 1545218116.562 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545218116.562 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218116.562 * [misc]taylor: Taking taylor expansion of n in k 1545218116.562 * [misc]backup-simplify: Simplify n into n 1545218116.562 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218116.562 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545218116.562 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545218116.562 * [misc]taylor: Taking taylor expansion of 2 in k 1545218116.562 * [misc]backup-simplify: Simplify 2 into 2 1545218116.562 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.562 * [misc]backup-simplify: Simplify PI into PI 1545218116.562 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.562 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.562 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218116.562 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.563 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218116.563 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.563 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545218116.564 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545218116.564 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545218116.565 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218116.565 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545218116.567 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218116.567 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545218116.567 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.567 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.568 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545218116.569 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218116.569 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.569 * [misc]backup-simplify: Simplify 0 into 0 1545218116.569 * [misc]backup-simplify: Simplify 0 into 0 1545218116.569 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545218116.570 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218116.571 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218116.572 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.572 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218116.572 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218116.572 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218116.573 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545218116.574 * [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))))))) 1545218116.575 * [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))))))) 1545218116.577 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218116.578 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545218116.583 * [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 1545218116.584 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545218116.584 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.585 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.585 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545218116.587 * [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 1545218116.588 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.588 * [misc]backup-simplify: Simplify 0 into 0 1545218116.588 * [misc]backup-simplify: Simplify 0 into 0 1545218116.588 * [misc]backup-simplify: Simplify 0 into 0 1545218116.589 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545218116.590 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218116.595 * [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 1545218116.595 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.595 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218116.596 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.596 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.596 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545218116.599 * [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))))) 1545218116.601 * [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))))) 1545218116.607 * [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))))) 1545218116.607 * [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)))) 1545218116.607 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545218116.607 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218116.607 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545218116.607 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545218116.607 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218116.607 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.607 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218116.607 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.607 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.608 * [misc]taylor: Taking taylor expansion of k in k 1545218116.608 * [misc]backup-simplify: Simplify 0 into 0 1545218116.608 * [misc]backup-simplify: Simplify 1 into 1 1545218116.608 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.608 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545218116.608 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545218116.608 * [misc]taylor: Taking taylor expansion of 2 in k 1545218116.608 * [misc]backup-simplify: Simplify 2 into 2 1545218116.608 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218116.608 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.608 * [misc]backup-simplify: Simplify PI into PI 1545218116.608 * [misc]taylor: Taking taylor expansion of n in k 1545218116.608 * [misc]backup-simplify: Simplify n into n 1545218116.608 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218116.608 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545218116.608 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545218116.608 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218116.609 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218116.609 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218116.609 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545218116.609 * [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)))) 1545218116.609 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218116.609 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218116.609 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218116.609 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218116.609 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.609 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218116.609 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.609 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.610 * [misc]taylor: Taking taylor expansion of k in n 1545218116.610 * [misc]backup-simplify: Simplify k into k 1545218116.610 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.610 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218116.610 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218116.610 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.610 * [misc]backup-simplify: Simplify 2 into 2 1545218116.610 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.610 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.610 * [misc]backup-simplify: Simplify PI into PI 1545218116.610 * [misc]taylor: Taking taylor expansion of n in n 1545218116.610 * [misc]backup-simplify: Simplify 0 into 0 1545218116.610 * [misc]backup-simplify: Simplify 1 into 1 1545218116.610 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.611 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.611 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.611 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218116.611 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218116.611 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218116.612 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.613 * [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))) 1545218116.613 * [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)))) 1545218116.613 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218116.613 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218116.613 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218116.613 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218116.613 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.613 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218116.614 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.614 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.614 * [misc]taylor: Taking taylor expansion of k in n 1545218116.614 * [misc]backup-simplify: Simplify k into k 1545218116.614 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.614 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218116.614 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218116.614 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.614 * [misc]backup-simplify: Simplify 2 into 2 1545218116.614 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.614 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.614 * [misc]backup-simplify: Simplify PI into PI 1545218116.614 * [misc]taylor: Taking taylor expansion of n in n 1545218116.614 * [misc]backup-simplify: Simplify 0 into 0 1545218116.614 * [misc]backup-simplify: Simplify 1 into 1 1545218116.614 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.614 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.615 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.615 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218116.615 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218116.615 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218116.616 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.616 * [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))) 1545218116.617 * [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)))) 1545218116.617 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545218116.617 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545218116.617 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218116.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.617 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218116.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.617 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.617 * [misc]taylor: Taking taylor expansion of k in k 1545218116.617 * [misc]backup-simplify: Simplify 0 into 0 1545218116.617 * [misc]backup-simplify: Simplify 1 into 1 1545218116.618 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.618 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545218116.618 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545218116.618 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545218116.618 * [misc]taylor: Taking taylor expansion of 2 in k 1545218116.618 * [misc]backup-simplify: Simplify 2 into 2 1545218116.618 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.618 * [misc]backup-simplify: Simplify PI into PI 1545218116.618 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.618 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.619 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218116.619 * [misc]taylor: Taking taylor expansion of n in k 1545218116.619 * [misc]backup-simplify: Simplify n into n 1545218116.619 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218116.619 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218116.619 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218116.619 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218116.619 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218116.620 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545218116.620 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545218116.621 * [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)))) 1545218116.622 * [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)))) 1545218116.623 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218116.623 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218116.626 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218116.626 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218116.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218116.626 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.626 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.627 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.628 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545218116.629 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218116.629 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.629 * [misc]backup-simplify: Simplify 0 into 0 1545218116.629 * [misc]backup-simplify: Simplify 0 into 0 1545218116.629 * [misc]backup-simplify: Simplify 0 into 0 1545218116.631 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.632 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218116.636 * [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 1545218116.637 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218116.637 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.637 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.642 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.643 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545218116.645 * [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 1545218116.645 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.645 * [misc]backup-simplify: Simplify 0 into 0 1545218116.645 * [misc]backup-simplify: Simplify 0 into 0 1545218116.645 * [misc]backup-simplify: Simplify 0 into 0 1545218116.645 * [misc]backup-simplify: Simplify 0 into 0 1545218116.647 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.648 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218116.656 * [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 1545218116.657 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545218116.657 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.658 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.659 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545218116.662 * [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 1545218116.663 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.663 * [misc]backup-simplify: Simplify 0 into 0 1545218116.663 * [misc]backup-simplify: Simplify 0 into 0 1545218116.663 * [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))))) 1545218116.664 * [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)) 1545218116.664 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545218116.664 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218116.664 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545218116.664 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545218116.664 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218116.664 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218116.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.664 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.664 * [misc]taylor: Taking taylor expansion of k in k 1545218116.664 * [misc]backup-simplify: Simplify 0 into 0 1545218116.664 * [misc]backup-simplify: Simplify 1 into 1 1545218116.664 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.664 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545218116.664 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545218116.664 * [misc]taylor: Taking taylor expansion of -2 in k 1545218116.664 * [misc]backup-simplify: Simplify -2 into -2 1545218116.664 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218116.664 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.665 * [misc]backup-simplify: Simplify PI into PI 1545218116.665 * [misc]taylor: Taking taylor expansion of n in k 1545218116.665 * [misc]backup-simplify: Simplify n into n 1545218116.665 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218116.665 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545218116.665 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545218116.665 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218116.665 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218116.665 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545218116.665 * [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))) 1545218116.665 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218116.665 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545218116.666 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545218116.666 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218116.666 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218116.666 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.666 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.666 * [misc]taylor: Taking taylor expansion of k in n 1545218116.666 * [misc]backup-simplify: Simplify k into k 1545218116.666 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.666 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.666 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218116.666 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218116.666 * [misc]taylor: Taking taylor expansion of -2 in n 1545218116.666 * [misc]backup-simplify: Simplify -2 into -2 1545218116.666 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.666 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.666 * [misc]backup-simplify: Simplify PI into PI 1545218116.666 * [misc]taylor: Taking taylor expansion of n in n 1545218116.666 * [misc]backup-simplify: Simplify 0 into 0 1545218116.666 * [misc]backup-simplify: Simplify 1 into 1 1545218116.666 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.667 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218116.667 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218116.667 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218116.667 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218116.668 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218116.669 * [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))) 1545218116.669 * [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)))) 1545218116.669 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218116.669 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545218116.669 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545218116.669 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218116.670 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218116.670 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.670 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.670 * [misc]taylor: Taking taylor expansion of k in n 1545218116.670 * [misc]backup-simplify: Simplify k into k 1545218116.670 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.670 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.670 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218116.670 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218116.670 * [misc]taylor: Taking taylor expansion of -2 in n 1545218116.670 * [misc]backup-simplify: Simplify -2 into -2 1545218116.670 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.670 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.670 * [misc]backup-simplify: Simplify PI into PI 1545218116.670 * [misc]taylor: Taking taylor expansion of n in n 1545218116.670 * [misc]backup-simplify: Simplify 0 into 0 1545218116.670 * [misc]backup-simplify: Simplify 1 into 1 1545218116.670 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.671 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218116.671 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218116.671 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218116.671 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218116.672 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218116.672 * [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))) 1545218116.673 * [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)))) 1545218116.673 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545218116.673 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545218116.673 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218116.673 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218116.673 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.673 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.673 * [misc]taylor: Taking taylor expansion of k in k 1545218116.673 * [misc]backup-simplify: Simplify 0 into 0 1545218116.673 * [misc]backup-simplify: Simplify 1 into 1 1545218116.674 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.674 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.674 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.674 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545218116.674 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545218116.674 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545218116.674 * [misc]taylor: Taking taylor expansion of -2 in k 1545218116.674 * [misc]backup-simplify: Simplify -2 into -2 1545218116.674 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.674 * [misc]backup-simplify: Simplify PI into PI 1545218116.674 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218116.675 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218116.675 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218116.675 * [misc]taylor: Taking taylor expansion of n in k 1545218116.675 * [misc]backup-simplify: Simplify n into n 1545218116.675 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218116.675 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218116.675 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218116.675 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218116.676 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545218116.676 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545218116.677 * [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)))) 1545218116.677 * [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)))) 1545218116.678 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218116.679 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545218116.682 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545218116.682 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218116.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218116.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.683 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218116.684 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545218116.685 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218116.685 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.685 * [misc]backup-simplify: Simplify 0 into 0 1545218116.685 * [misc]backup-simplify: Simplify 0 into 0 1545218116.685 * [misc]backup-simplify: Simplify 0 into 0 1545218116.687 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.688 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218116.691 * [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 1545218116.691 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218116.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.692 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218116.692 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545218116.693 * [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 1545218116.693 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.694 * [misc]backup-simplify: Simplify 0 into 0 1545218116.694 * [misc]backup-simplify: Simplify 0 into 0 1545218116.694 * [misc]backup-simplify: Simplify 0 into 0 1545218116.694 * [misc]backup-simplify: Simplify 0 into 0 1545218116.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.696 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218116.700 * [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 1545218116.701 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.701 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545218116.701 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.701 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218116.702 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545218116.704 * [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 1545218116.704 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.704 * [misc]backup-simplify: Simplify 0 into 0 1545218116.704 * [misc]backup-simplify: Simplify 0 into 0 1545218116.705 * [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))))) 1545218116.705 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545218116.705 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545218116.705 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545218116.705 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218116.705 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.705 * [misc]backup-simplify: Simplify 2 into 2 1545218116.705 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218116.705 * [misc]taylor: Taking taylor expansion of n in n 1545218116.705 * [misc]backup-simplify: Simplify 0 into 0 1545218116.705 * [misc]backup-simplify: Simplify 1 into 1 1545218116.705 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.705 * [misc]backup-simplify: Simplify PI into PI 1545218116.705 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218116.705 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.705 * [misc]backup-simplify: Simplify 2 into 2 1545218116.705 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218116.705 * [misc]taylor: Taking taylor expansion of n in n 1545218116.705 * [misc]backup-simplify: Simplify 0 into 0 1545218116.705 * [misc]backup-simplify: Simplify 1 into 1 1545218116.705 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.705 * [misc]backup-simplify: Simplify PI into PI 1545218116.706 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218116.706 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218116.706 * [misc]backup-simplify: Simplify 0 into 0 1545218116.706 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218116.707 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218116.707 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.707 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218116.708 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545218116.708 * [misc]backup-simplify: Simplify 0 into 0 1545218116.709 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218116.710 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545218116.710 * [misc]backup-simplify: Simplify 0 into 0 1545218116.711 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545218116.712 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545218116.712 * [misc]backup-simplify: Simplify 0 into 0 1545218116.714 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545218116.715 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545218116.715 * [misc]backup-simplify: Simplify 0 into 0 1545218116.717 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545218116.719 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545218116.719 * [misc]backup-simplify: Simplify 0 into 0 1545218116.721 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545218116.724 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545218116.724 * [misc]backup-simplify: Simplify 0 into 0 1545218116.724 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545218116.724 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545218116.724 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545218116.724 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218116.724 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.724 * [misc]backup-simplify: Simplify 2 into 2 1545218116.724 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.724 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.724 * [misc]backup-simplify: Simplify PI into PI 1545218116.724 * [misc]taylor: Taking taylor expansion of n in n 1545218116.724 * [misc]backup-simplify: Simplify 0 into 0 1545218116.724 * [misc]backup-simplify: Simplify 1 into 1 1545218116.725 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.725 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218116.725 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.725 * [misc]backup-simplify: Simplify 2 into 2 1545218116.725 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.725 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.725 * [misc]backup-simplify: Simplify PI into PI 1545218116.725 * [misc]taylor: Taking taylor expansion of n in n 1545218116.725 * [misc]backup-simplify: Simplify 0 into 0 1545218116.725 * [misc]backup-simplify: Simplify 1 into 1 1545218116.725 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.725 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.725 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.726 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218116.726 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218116.726 * [misc]backup-simplify: Simplify 0 into 0 1545218116.727 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.728 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218116.728 * [misc]backup-simplify: Simplify 0 into 0 1545218116.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.730 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218116.730 * [misc]backup-simplify: Simplify 0 into 0 1545218116.731 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.732 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545218116.732 * [misc]backup-simplify: Simplify 0 into 0 1545218116.733 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.735 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545218116.735 * [misc]backup-simplify: Simplify 0 into 0 1545218116.736 * [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 1545218116.738 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545218116.738 * [misc]backup-simplify: Simplify 0 into 0 1545218116.738 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545218116.738 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545218116.738 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545218116.738 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218116.738 * [misc]taylor: Taking taylor expansion of -2 in n 1545218116.738 * [misc]backup-simplify: Simplify -2 into -2 1545218116.738 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.738 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.738 * [misc]backup-simplify: Simplify PI into PI 1545218116.738 * [misc]taylor: Taking taylor expansion of n in n 1545218116.738 * [misc]backup-simplify: Simplify 0 into 0 1545218116.738 * [misc]backup-simplify: Simplify 1 into 1 1545218116.739 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.739 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218116.739 * [misc]taylor: Taking taylor expansion of -2 in n 1545218116.739 * [misc]backup-simplify: Simplify -2 into -2 1545218116.739 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.739 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.739 * [misc]backup-simplify: Simplify PI into PI 1545218116.739 * [misc]taylor: Taking taylor expansion of n in n 1545218116.739 * [misc]backup-simplify: Simplify 0 into 0 1545218116.739 * [misc]backup-simplify: Simplify 1 into 1 1545218116.739 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.739 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218116.739 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218116.740 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218116.740 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545218116.740 * [misc]backup-simplify: Simplify 0 into 0 1545218116.741 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.742 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218116.742 * [misc]backup-simplify: Simplify 0 into 0 1545218116.743 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.744 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218116.744 * [misc]backup-simplify: Simplify 0 into 0 1545218116.745 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.746 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545218116.746 * [misc]backup-simplify: Simplify 0 into 0 1545218116.747 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.749 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545218116.749 * [misc]backup-simplify: Simplify 0 into 0 1545218116.750 * [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 1545218116.753 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545218116.753 * [misc]backup-simplify: Simplify 0 into 0 1545218116.754 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545218116.754 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545218116.754 * [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)))) 1545218116.754 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545218116.754 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545218116.754 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218116.754 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.754 * [misc]taylor: Taking taylor expansion of k in k 1545218116.754 * [misc]backup-simplify: Simplify 0 into 0 1545218116.754 * [misc]backup-simplify: Simplify 1 into 1 1545218116.754 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.754 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218116.755 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218116.755 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545218116.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545218116.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545218116.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218116.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.755 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218116.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.755 * [misc]taylor: Taking taylor expansion of k in k 1545218116.755 * [misc]backup-simplify: Simplify 0 into 0 1545218116.755 * [misc]backup-simplify: Simplify 1 into 1 1545218116.755 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545218116.755 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545218116.755 * [misc]taylor: Taking taylor expansion of 2 in k 1545218116.755 * [misc]backup-simplify: Simplify 2 into 2 1545218116.755 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545218116.755 * [misc]taylor: Taking taylor expansion of n in k 1545218116.755 * [misc]backup-simplify: Simplify n into n 1545218116.755 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.755 * [misc]backup-simplify: Simplify PI into PI 1545218116.755 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545218116.755 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545218116.755 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545218116.755 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218116.756 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.756 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218116.756 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545218116.756 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545218116.756 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of k in n 1545218116.756 * [misc]backup-simplify: Simplify k into k 1545218116.756 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.756 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545218116.756 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218116.756 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545218116.756 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.756 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.756 * [misc]taylor: Taking taylor expansion of k in n 1545218116.756 * [misc]backup-simplify: Simplify k into k 1545218116.756 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.756 * [misc]backup-simplify: Simplify 2 into 2 1545218116.756 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218116.756 * [misc]taylor: Taking taylor expansion of n in n 1545218116.756 * [misc]backup-simplify: Simplify 0 into 0 1545218116.756 * [misc]backup-simplify: Simplify 1 into 1 1545218116.756 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.756 * [misc]backup-simplify: Simplify PI into PI 1545218116.757 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218116.757 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218116.757 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218116.758 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218116.758 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.758 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218116.758 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218116.758 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218116.758 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.759 * [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)))) 1545218116.759 * [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))))) 1545218116.759 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545218116.759 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545218116.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.759 * [misc]taylor: Taking taylor expansion of k in n 1545218116.759 * [misc]backup-simplify: Simplify k into k 1545218116.759 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.759 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545218116.759 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218116.759 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545218116.760 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545218116.760 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545218116.760 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545218116.760 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218116.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.760 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218116.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.760 * [misc]taylor: Taking taylor expansion of k in n 1545218116.760 * [misc]backup-simplify: Simplify k into k 1545218116.760 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218116.760 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218116.760 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.760 * [misc]backup-simplify: Simplify 2 into 2 1545218116.760 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218116.760 * [misc]taylor: Taking taylor expansion of n in n 1545218116.760 * [misc]backup-simplify: Simplify 0 into 0 1545218116.760 * [misc]backup-simplify: Simplify 1 into 1 1545218116.760 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.760 * [misc]backup-simplify: Simplify PI into PI 1545218116.760 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218116.760 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218116.760 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218116.761 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218116.761 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.761 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218116.761 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218116.761 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218116.762 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.762 * [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)))) 1545218116.762 * [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))))) 1545218116.763 * [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))) 1545218116.763 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545218116.763 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545218116.763 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545218116.763 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218116.763 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.763 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218116.763 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.763 * [misc]taylor: Taking taylor expansion of k in k 1545218116.763 * [misc]backup-simplify: Simplify 0 into 0 1545218116.763 * [misc]backup-simplify: Simplify 1 into 1 1545218116.763 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545218116.763 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218116.763 * [misc]taylor: Taking taylor expansion of n in k 1545218116.763 * [misc]backup-simplify: Simplify n into n 1545218116.763 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218116.763 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545218116.763 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545218116.763 * [misc]taylor: Taking taylor expansion of 2 in k 1545218116.763 * [misc]backup-simplify: Simplify 2 into 2 1545218116.763 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.763 * [misc]backup-simplify: Simplify PI into PI 1545218116.764 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.764 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.764 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218116.764 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.764 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218116.765 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.765 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545218116.765 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545218116.765 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218116.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.765 * [misc]taylor: Taking taylor expansion of k in k 1545218116.765 * [misc]backup-simplify: Simplify 0 into 0 1545218116.765 * [misc]backup-simplify: Simplify 1 into 1 1545218116.765 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.766 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218116.766 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218116.766 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545218116.766 * [misc]backup-simplify: Simplify 0 into 0 1545218116.767 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218116.768 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545218116.770 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218116.771 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545218116.771 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.772 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.772 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545218116.774 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218116.775 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545218116.775 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.775 * [misc]backup-simplify: Simplify 0 into 0 1545218116.775 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545218116.776 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218116.779 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218116.779 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.779 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218116.779 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218116.779 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218116.780 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545218116.781 * [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))))))) 1545218116.783 * [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))))))) 1545218116.784 * [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))))))) 1545218116.786 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218116.787 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545218116.792 * [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 1545218116.792 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545218116.792 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.792 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.793 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.794 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545218116.796 * [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 1545218116.796 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.797 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545218116.798 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545218116.798 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.798 * [misc]backup-simplify: Simplify 0 into 0 1545218116.798 * [misc]backup-simplify: Simplify 0 into 0 1545218116.798 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545218116.799 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218116.801 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545218116.802 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218116.807 * [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 1545218116.807 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.808 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218116.808 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.809 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545218116.811 * [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))))) 1545218116.816 * [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)))))))) 1545218116.819 * [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)))))))) 1545218116.822 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545218116.824 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545218116.828 * [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 1545218116.828 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545218116.829 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.829 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.829 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218116.830 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545218116.832 * [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 1545218116.832 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.832 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545218116.833 * [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 1545218116.833 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.833 * [misc]backup-simplify: Simplify 0 into 0 1545218116.833 * [misc]backup-simplify: Simplify 0 into 0 1545218116.833 * [misc]backup-simplify: Simplify 0 into 0 1545218116.833 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.834 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218116.836 * [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 1545218116.837 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218116.841 * [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 1545218116.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545218116.842 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.842 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.842 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545218116.845 * [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))))))) 1545218116.850 * [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)))))))))))))) 1545218116.855 * [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)))))))))))))) 1545218116.866 * [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)))))))))))))))))))))) 1545218116.867 * [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))))) 1545218116.867 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545218116.867 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545218116.867 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218116.867 * [misc]taylor: Taking taylor expansion of k in k 1545218116.867 * [misc]backup-simplify: Simplify 0 into 0 1545218116.867 * [misc]backup-simplify: Simplify 1 into 1 1545218116.867 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218116.868 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218116.868 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218116.868 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545218116.868 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545218116.868 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218116.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.868 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218116.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.868 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.868 * [misc]taylor: Taking taylor expansion of k in k 1545218116.868 * [misc]backup-simplify: Simplify 0 into 0 1545218116.868 * [misc]backup-simplify: Simplify 1 into 1 1545218116.868 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.868 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545218116.869 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545218116.869 * [misc]taylor: Taking taylor expansion of 2 in k 1545218116.869 * [misc]backup-simplify: Simplify 2 into 2 1545218116.869 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218116.869 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.869 * [misc]backup-simplify: Simplify PI into PI 1545218116.869 * [misc]taylor: Taking taylor expansion of n in k 1545218116.869 * [misc]backup-simplify: Simplify n into n 1545218116.869 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218116.869 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545218116.869 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545218116.869 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218116.869 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218116.869 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218116.870 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545218116.870 * [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)))) 1545218116.870 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of k in n 1545218116.870 * [misc]backup-simplify: Simplify k into k 1545218116.870 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545218116.870 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545218116.870 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.870 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.870 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of k in n 1545218116.870 * [misc]backup-simplify: Simplify k into k 1545218116.870 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.870 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218116.870 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.870 * [misc]backup-simplify: Simplify 2 into 2 1545218116.871 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.871 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.871 * [misc]backup-simplify: Simplify PI into PI 1545218116.871 * [misc]taylor: Taking taylor expansion of n in n 1545218116.871 * [misc]backup-simplify: Simplify 0 into 0 1545218116.871 * [misc]backup-simplify: Simplify 1 into 1 1545218116.871 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.871 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.872 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.872 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218116.872 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218116.872 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218116.873 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.873 * [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))) 1545218116.874 * [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)))) 1545218116.874 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218116.874 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545218116.874 * [misc]taylor: Taking taylor expansion of k in n 1545218116.874 * [misc]backup-simplify: Simplify k into k 1545218116.874 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545218116.874 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545218116.874 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218116.874 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218116.874 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218116.874 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218116.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218116.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.874 * [misc]taylor: Taking taylor expansion of k in n 1545218116.874 * [misc]backup-simplify: Simplify k into k 1545218116.874 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.875 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218116.875 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218116.875 * [misc]taylor: Taking taylor expansion of 2 in n 1545218116.875 * [misc]backup-simplify: Simplify 2 into 2 1545218116.875 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.875 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.875 * [misc]backup-simplify: Simplify PI into PI 1545218116.875 * [misc]taylor: Taking taylor expansion of n in n 1545218116.875 * [misc]backup-simplify: Simplify 0 into 0 1545218116.875 * [misc]backup-simplify: Simplify 1 into 1 1545218116.875 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.875 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.876 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.876 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218116.876 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218116.876 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218116.876 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.877 * [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))) 1545218116.877 * [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)))) 1545218116.877 * [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)) 1545218116.877 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545218116.877 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545218116.877 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545218116.877 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218116.877 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218116.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.878 * [misc]taylor: Taking taylor expansion of k in k 1545218116.878 * [misc]backup-simplify: Simplify 0 into 0 1545218116.878 * [misc]backup-simplify: Simplify 1 into 1 1545218116.878 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.878 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545218116.878 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545218116.878 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545218116.878 * [misc]taylor: Taking taylor expansion of 2 in k 1545218116.878 * [misc]backup-simplify: Simplify 2 into 2 1545218116.878 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.878 * [misc]backup-simplify: Simplify PI into PI 1545218116.878 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218116.878 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218116.878 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218116.878 * [misc]taylor: Taking taylor expansion of n in k 1545218116.878 * [misc]backup-simplify: Simplify n into n 1545218116.878 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218116.879 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218116.879 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218116.879 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218116.879 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218116.879 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545218116.879 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545218116.880 * [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)))) 1545218116.880 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218116.880 * [misc]taylor: Taking taylor expansion of k in k 1545218116.880 * [misc]backup-simplify: Simplify 0 into 0 1545218116.880 * [misc]backup-simplify: Simplify 1 into 1 1545218116.880 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218116.880 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218116.881 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545218116.881 * [misc]backup-simplify: Simplify 0 into 0 1545218116.881 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218116.882 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218116.884 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218116.885 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218116.885 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218116.885 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.886 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545218116.887 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218116.887 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545218116.887 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.887 * [misc]backup-simplify: Simplify 0 into 0 1545218116.887 * [misc]backup-simplify: Simplify 0 into 0 1545218116.888 * [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)))))) 1545218116.888 * [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)))))) 1545218116.889 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.890 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218116.893 * [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 1545218116.893 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.893 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218116.893 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.894 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545218116.896 * [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 1545218116.896 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545218116.897 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545218116.897 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.897 * [misc]backup-simplify: Simplify 0 into 0 1545218116.897 * [misc]backup-simplify: Simplify 0 into 0 1545218116.897 * [misc]backup-simplify: Simplify 0 into 0 1545218116.898 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218116.898 * [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)))))) 1545218116.898 * [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)))))) 1545218116.899 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.900 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218116.905 * [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 1545218116.905 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.905 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545218116.905 * [misc]backup-simplify: Simplify (- 0) into 0 1545218116.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.906 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218116.907 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545218116.909 * [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 1545218116.909 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545218116.910 * [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 1545218116.910 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.910 * [misc]backup-simplify: Simplify 0 into 0 1545218116.910 * [misc]backup-simplify: Simplify 0 into 0 1545218116.910 * [misc]backup-simplify: Simplify 0 into 0 1545218116.910 * [misc]backup-simplify: Simplify 0 into 0 1545218116.911 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218116.911 * [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)))))) 1545218116.912 * [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)))))) 1545218116.913 * [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)))))))) 1545218116.913 * [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))) 1545218116.913 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545218116.913 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545218116.913 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218116.913 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545218116.914 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545218116.914 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218116.914 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218116.914 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.914 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.914 * [misc]taylor: Taking taylor expansion of k in k 1545218116.914 * [misc]backup-simplify: Simplify 0 into 0 1545218116.914 * [misc]backup-simplify: Simplify 1 into 1 1545218116.914 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.914 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.914 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545218116.914 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545218116.914 * [misc]taylor: Taking taylor expansion of -2 in k 1545218116.914 * [misc]backup-simplify: Simplify -2 into -2 1545218116.914 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218116.914 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.914 * [misc]backup-simplify: Simplify PI into PI 1545218116.914 * [misc]taylor: Taking taylor expansion of n in k 1545218116.914 * [misc]backup-simplify: Simplify n into n 1545218116.914 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218116.914 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545218116.914 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545218116.914 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218116.914 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218116.914 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545218116.915 * [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))) 1545218116.915 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218116.915 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218116.915 * [misc]taylor: Taking taylor expansion of -1 in k 1545218116.915 * [misc]backup-simplify: Simplify -1 into -1 1545218116.915 * [misc]taylor: Taking taylor expansion of k in k 1545218116.915 * [misc]backup-simplify: Simplify 0 into 0 1545218116.915 * [misc]backup-simplify: Simplify 1 into 1 1545218116.915 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218116.915 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218116.915 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218116.916 * [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)))) 1545218116.916 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.916 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of k in n 1545218116.916 * [misc]backup-simplify: Simplify k into k 1545218116.916 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.916 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.916 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of -2 in n 1545218116.916 * [misc]backup-simplify: Simplify -2 into -2 1545218116.916 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.916 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.916 * [misc]backup-simplify: Simplify PI into PI 1545218116.916 * [misc]taylor: Taking taylor expansion of n in n 1545218116.916 * [misc]backup-simplify: Simplify 0 into 0 1545218116.916 * [misc]backup-simplify: Simplify 1 into 1 1545218116.916 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.916 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218116.917 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218116.917 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218116.917 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218116.917 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218116.918 * [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))) 1545218116.918 * [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)))) 1545218116.918 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545218116.918 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545218116.918 * [misc]taylor: Taking taylor expansion of -1 in n 1545218116.918 * [misc]backup-simplify: Simplify -1 into -1 1545218116.918 * [misc]taylor: Taking taylor expansion of k in n 1545218116.918 * [misc]backup-simplify: Simplify k into k 1545218116.918 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545218116.918 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545218116.918 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545218116.918 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545218116.919 * [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))) 1545218116.919 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.919 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of k in n 1545218116.919 * [misc]backup-simplify: Simplify k into k 1545218116.919 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218116.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218116.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.919 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of -2 in n 1545218116.919 * [misc]backup-simplify: Simplify -2 into -2 1545218116.919 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218116.919 * [misc]taylor: Taking taylor expansion of PI in n 1545218116.919 * [misc]backup-simplify: Simplify PI into PI 1545218116.919 * [misc]taylor: Taking taylor expansion of n in n 1545218116.919 * [misc]backup-simplify: Simplify 0 into 0 1545218116.919 * [misc]backup-simplify: Simplify 1 into 1 1545218116.919 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218116.920 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218116.920 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218116.920 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218116.920 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218116.920 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218116.921 * [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))) 1545218116.921 * [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)))) 1545218116.921 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545218116.921 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545218116.921 * [misc]taylor: Taking taylor expansion of -1 in n 1545218116.921 * [misc]backup-simplify: Simplify -1 into -1 1545218116.921 * [misc]taylor: Taking taylor expansion of k in n 1545218116.921 * [misc]backup-simplify: Simplify k into k 1545218116.921 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545218116.921 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545218116.921 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545218116.922 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545218116.922 * [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))) 1545218116.922 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545218116.922 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545218116.922 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545218116.922 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218116.922 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218116.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218116.922 * [misc]taylor: Taking taylor expansion of k in k 1545218116.922 * [misc]backup-simplify: Simplify 0 into 0 1545218116.922 * [misc]backup-simplify: Simplify 1 into 1 1545218116.922 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218116.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218116.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218116.922 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545218116.922 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545218116.922 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545218116.922 * [misc]taylor: Taking taylor expansion of -2 in k 1545218116.923 * [misc]backup-simplify: Simplify -2 into -2 1545218116.923 * [misc]taylor: Taking taylor expansion of PI in k 1545218116.923 * [misc]backup-simplify: Simplify PI into PI 1545218116.923 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218116.923 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218116.923 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218116.923 * [misc]taylor: Taking taylor expansion of n in k 1545218116.923 * [misc]backup-simplify: Simplify n into n 1545218116.923 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218116.923 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218116.923 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218116.923 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218116.924 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545218116.924 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545218116.924 * [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)))) 1545218116.925 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218116.925 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218116.925 * [misc]taylor: Taking taylor expansion of -1 in k 1545218116.925 * [misc]backup-simplify: Simplify -1 into -1 1545218116.925 * [misc]taylor: Taking taylor expansion of k in k 1545218116.925 * [misc]backup-simplify: Simplify 0 into 0 1545218116.925 * [misc]backup-simplify: Simplify 1 into 1 1545218116.925 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218116.925 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218116.925 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218116.926 * [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))))) 1545218116.926 * [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))))) 1545218116.927 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218116.927 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545218116.929 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545218116.929 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218116.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218116.929 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.929 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218116.930 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545218116.931 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218116.931 * [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 1545218116.931 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.931 * [misc]backup-simplify: Simplify 0 into 0 1545218116.931 * [misc]backup-simplify: Simplify 0 into 0 1545218116.932 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545218116.932 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218116.933 * [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)))))) 1545218116.933 * [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)))))) 1545218116.934 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.935 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218116.938 * [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 1545218116.938 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.938 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218116.938 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218116.939 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218116.939 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545218116.940 * [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 1545218116.941 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218116.941 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545218116.942 * [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 1545218116.942 * [misc]taylor: Taking taylor expansion of 0 in k 1545218116.942 * [misc]backup-simplify: Simplify 0 into 0 1545218116.942 * [misc]backup-simplify: Simplify 0 into 0 1545218116.942 * [misc]backup-simplify: Simplify 0 into 0 1545218116.942 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218116.943 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218116.944 * [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)))))) 1545218116.944 * [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)))))) 1545218116.946 * [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))))))))))) 1545218116.946 * * * [misc]progress: simplifying candidates 1545218116.946 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1545218116.946 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1545218116.946 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1545218116.946 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545218116.946 * * [misc]simplify: iters left: 6 (11 enodes) 1545218116.948 * * [misc]simplify: iters left: 5 (21 enodes) 1545218116.952 * * [misc]simplify: iters left: 4 (47 enodes) 1545218116.965 * * [misc]simplify: iters left: 3 (113 enodes) 1545218117.026 * * [misc]simplify: iters left: 2 (328 enodes) 1545218117.325 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545218117.325 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545218117.325 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1545218117.325 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1545218117.326 * [enter]simplify: Simplifying (* PI (* n 2)) 1545218117.326 * * [misc]simplify: iters left: 4 (5 enodes) 1545218117.326 * * [misc]simplify: iters left: 3 (9 enodes) 1545218117.328 * * [misc]simplify: iters left: 2 (15 enodes) 1545218117.330 * * [misc]simplify: iters left: 1 (17 enodes) 1545218117.332 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545218117.332 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545218117.332 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1545218117.332 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545218117.332 * * [misc]simplify: iters left: 5 (8 enodes) 1545218117.333 * * [misc]simplify: iters left: 4 (12 enodes) 1545218117.335 * * [misc]simplify: iters left: 3 (18 enodes) 1545218117.337 * * [misc]simplify: iters left: 2 (20 enodes) 1545218117.340 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545218117.340 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545218117.340 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1545218117.340 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545218117.340 * * [misc]simplify: iters left: 5 (6 enodes) 1545218117.341 * * [misc]simplify: iters left: 4 (8 enodes) 1545218117.342 * * [misc]simplify: iters left: 3 (11 enodes) 1545218117.343 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545218117.343 * [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))) 1545218117.343 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1545218117.343 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545218117.344 * * [misc]simplify: iters left: 5 (6 enodes) 1545218117.344 * * [misc]simplify: iters left: 4 (8 enodes) 1545218117.345 * * [misc]simplify: iters left: 3 (11 enodes) 1545218117.347 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545218117.347 * [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))) 1545218117.347 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1545218117.347 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545218117.347 * * [misc]simplify: iters left: 4 (5 enodes) 1545218117.349 * * [misc]simplify: iters left: 3 (7 enodes) 1545218117.351 * * [misc]simplify: iters left: 2 (10 enodes) 1545218117.354 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545218117.354 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545218117.354 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1545218117.354 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545218117.354 * * [misc]simplify: iters left: 5 (9 enodes) 1545218117.357 * * [misc]simplify: iters left: 4 (15 enodes) 1545218117.362 * * [misc]simplify: iters left: 3 (21 enodes) 1545218117.367 * * [misc]simplify: iters left: 2 (22 enodes) 1545218117.372 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545218117.372 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545218117.373 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1545218117.373 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545218117.373 * * [misc]simplify: iters left: 5 (9 enodes) 1545218117.376 * * [misc]simplify: iters left: 4 (15 enodes) 1545218117.380 * * [misc]simplify: iters left: 3 (21 enodes) 1545218117.386 * * [misc]simplify: iters left: 2 (22 enodes) 1545218117.391 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545218117.391 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545218117.391 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1545218117.391 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545218117.391 * * [misc]simplify: iters left: 5 (7 enodes) 1545218117.393 * * [misc]simplify: iters left: 4 (9 enodes) 1545218117.396 * * [misc]simplify: iters left: 3 (12 enodes) 1545218117.399 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545218117.399 * [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))) 1545218117.399 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1545218117.399 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1545218117.399 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1545218117.399 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1545218117.400 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1545218117.401 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1545218117.401 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1545218117.401 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545218117.401 * * [misc]simplify: iters left: 6 (14 enodes) 1545218117.408 * * [misc]simplify: iters left: 5 (27 enodes) 1545218117.417 * * [misc]simplify: iters left: 4 (55 enodes) 1545218117.439 * * [misc]simplify: iters left: 3 (144 enodes) 1545218117.517 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545218117.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545218117.517 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1545218117.517 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545218117.517 * * [misc]simplify: iters left: 6 (14 enodes) 1545218117.519 * * [misc]simplify: iters left: 5 (27 enodes) 1545218117.524 * * [misc]simplify: iters left: 4 (55 enodes) 1545218117.535 * * [misc]simplify: iters left: 3 (144 enodes) 1545218117.613 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545218117.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545218117.613 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1545218117.613 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545218117.613 * * [misc]simplify: iters left: 6 (14 enodes) 1545218117.615 * * [misc]simplify: iters left: 5 (24 enodes) 1545218117.619 * * [misc]simplify: iters left: 4 (43 enodes) 1545218117.625 * * [misc]simplify: iters left: 3 (73 enodes) 1545218117.643 * * [misc]simplify: iters left: 2 (220 enodes) 1545218117.857 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545218117.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545218117.857 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1545218117.858 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1545218117.858 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1545218117.858 * [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))) 1545218117.858 * * [misc]simplify: iters left: 6 (16 enodes) 1545218117.863 * * [misc]simplify: iters left: 5 (31 enodes) 1545218117.872 * * [misc]simplify: iters left: 4 (67 enodes) 1545218117.893 * * [misc]simplify: iters left: 3 (124 enodes) 1545218117.941 * * [misc]simplify: iters left: 2 (195 enodes) 1545218118.004 * * [misc]simplify: iters left: 1 (309 enodes) 1545218118.153 * [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)))) 1545218118.153 * [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)))))) 1545218118.153 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1545218118.153 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1545218118.153 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1545218118.153 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1545218118.153 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1545218118.153 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218118.154 * * [misc]simplify: iters left: 6 (12 enodes) 1545218118.157 * * [misc]simplify: iters left: 5 (19 enodes) 1545218118.163 * * [misc]simplify: iters left: 4 (25 enodes) 1545218118.169 * * [misc]simplify: iters left: 3 (26 enodes) 1545218118.174 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218118.174 * [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))))) 1545218118.174 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545218118.174 * * [misc]simplify: iters left: 6 (12 enodes) 1545218118.176 * * [misc]simplify: iters left: 5 (18 enodes) 1545218118.178 * * [misc]simplify: iters left: 4 (24 enodes) 1545218118.182 * * [misc]simplify: iters left: 3 (25 enodes) 1545218118.185 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545218118.185 * [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))))) 1545218118.185 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1545218118.186 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545218118.186 * * [misc]simplify: iters left: 6 (11 enodes) 1545218118.187 * * [misc]simplify: iters left: 5 (16 enodes) 1545218118.189 * * [misc]simplify: iters left: 4 (22 enodes) 1545218118.192 * * [misc]simplify: iters left: 3 (24 enodes) 1545218118.195 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545218118.195 * [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))))) 1545218118.195 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545218118.195 * * [misc]simplify: iters left: 6 (12 enodes) 1545218118.197 * * [misc]simplify: iters left: 5 (18 enodes) 1545218118.200 * * [misc]simplify: iters left: 4 (24 enodes) 1545218118.203 * * [misc]simplify: iters left: 3 (25 enodes) 1545218118.206 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545218118.206 * [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))))) 1545218118.206 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1545218118.206 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545218118.206 * * [misc]simplify: iters left: 6 (9 enodes) 1545218118.207 * * [misc]simplify: iters left: 5 (16 enodes) 1545218118.210 * * [misc]simplify: iters left: 4 (24 enodes) 1545218118.213 * * [misc]simplify: iters left: 3 (26 enodes) 1545218118.215 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545218118.215 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545218118.216 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545218118.216 * * [misc]simplify: iters left: 6 (11 enodes) 1545218118.217 * * [misc]simplify: iters left: 5 (17 enodes) 1545218118.220 * * [misc]simplify: iters left: 4 (23 enodes) 1545218118.223 * * [misc]simplify: iters left: 3 (24 enodes) 1545218118.228 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545218118.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545218118.228 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1545218118.229 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218118.229 * * [misc]simplify: iters left: 6 (12 enodes) 1545218118.232 * * [misc]simplify: iters left: 5 (19 enodes) 1545218118.234 * * [misc]simplify: iters left: 4 (25 enodes) 1545218118.238 * * [misc]simplify: iters left: 3 (26 enodes) 1545218118.241 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218118.241 * [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))))) 1545218118.241 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545218118.241 * * [misc]simplify: iters left: 6 (12 enodes) 1545218118.243 * * [misc]simplify: iters left: 5 (18 enodes) 1545218118.245 * * [misc]simplify: iters left: 4 (24 enodes) 1545218118.248 * * [misc]simplify: iters left: 3 (25 enodes) 1545218118.251 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545218118.252 * [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))))) 1545218118.252 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1545218118.252 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545218118.252 * * [misc]simplify: iters left: 6 (11 enodes) 1545218118.253 * * [misc]simplify: iters left: 5 (16 enodes) 1545218118.256 * * [misc]simplify: iters left: 4 (22 enodes) 1545218118.260 * * [misc]simplify: iters left: 3 (24 enodes) 1545218118.266 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545218118.266 * [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))))) 1545218118.267 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545218118.267 * * [misc]simplify: iters left: 6 (12 enodes) 1545218118.271 * * [misc]simplify: iters left: 5 (18 enodes) 1545218118.276 * * [misc]simplify: iters left: 4 (24 enodes) 1545218118.282 * * [misc]simplify: iters left: 3 (25 enodes) 1545218118.289 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545218118.289 * [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))))) 1545218118.289 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1545218118.289 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545218118.289 * * [misc]simplify: iters left: 6 (9 enodes) 1545218118.292 * * [misc]simplify: iters left: 5 (16 enodes) 1545218118.297 * * [misc]simplify: iters left: 4 (24 enodes) 1545218118.303 * * [misc]simplify: iters left: 3 (26 enodes) 1545218118.309 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545218118.309 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545218118.309 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545218118.309 * * [misc]simplify: iters left: 6 (11 enodes) 1545218118.312 * * [misc]simplify: iters left: 5 (17 enodes) 1545218118.317 * * [misc]simplify: iters left: 4 (23 enodes) 1545218118.323 * * [misc]simplify: iters left: 3 (24 enodes) 1545218118.329 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545218118.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545218118.330 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1545218118.330 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218118.330 * * [misc]simplify: iters left: 6 (11 enodes) 1545218118.333 * * [misc]simplify: iters left: 5 (15 enodes) 1545218118.338 * * [misc]simplify: iters left: 4 (18 enodes) 1545218118.343 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218118.343 * [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))))) 1545218118.344 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545218118.344 * * [misc]simplify: iters left: 6 (11 enodes) 1545218118.347 * * [misc]simplify: iters left: 5 (14 enodes) 1545218118.351 * * [misc]simplify: iters left: 4 (17 enodes) 1545218118.356 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545218118.356 * [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))))) 1545218118.356 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1545218118.356 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218118.356 * * [misc]simplify: iters left: 6 (10 enodes) 1545218118.359 * * [misc]simplify: iters left: 5 (12 enodes) 1545218118.361 * * [misc]simplify: iters left: 4 (15 enodes) 1545218118.363 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218118.363 * [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))))) 1545218118.363 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218118.363 * * [misc]simplify: iters left: 6 (11 enodes) 1545218118.365 * * [misc]simplify: iters left: 5 (14 enodes) 1545218118.367 * * [misc]simplify: iters left: 4 (17 enodes) 1545218118.369 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218118.369 * [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))))) 1545218118.369 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1545218118.369 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545218118.369 * * [misc]simplify: iters left: 6 (9 enodes) 1545218118.371 * * [misc]simplify: iters left: 5 (13 enodes) 1545218118.373 * * [misc]simplify: iters left: 4 (18 enodes) 1545218118.375 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545218118.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545218118.375 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545218118.375 * * [misc]simplify: iters left: 6 (10 enodes) 1545218118.377 * * [misc]simplify: iters left: 5 (13 enodes) 1545218118.378 * * [misc]simplify: iters left: 4 (16 enodes) 1545218118.381 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545218118.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545218118.381 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1545218118.382 * [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)))) 1545218118.382 * * [misc]simplify: iters left: 6 (16 enodes) 1545218118.384 * * [misc]simplify: iters left: 5 (28 enodes) 1545218118.388 * * [misc]simplify: iters left: 4 (46 enodes) 1545218118.394 * * [misc]simplify: iters left: 3 (50 enodes) 1545218118.401 * * [misc]simplify: iters left: 2 (53 enodes) 1545218118.415 * [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)))) 1545218118.415 * [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))))) 1545218118.415 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545218118.415 * * [misc]simplify: iters left: 6 (14 enodes) 1545218118.420 * * [misc]simplify: iters left: 5 (20 enodes) 1545218118.425 * * [misc]simplify: iters left: 4 (29 enodes) 1545218118.433 * * [misc]simplify: iters left: 3 (30 enodes) 1545218118.441 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545218118.441 * [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))))) 1545218118.441 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1545218118.441 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218118.441 * * [misc]simplify: iters left: 6 (15 enodes) 1545218118.446 * * [misc]simplify: iters left: 5 (23 enodes) 1545218118.453 * * [misc]simplify: iters left: 4 (34 enodes) 1545218118.461 * * [misc]simplify: iters left: 3 (37 enodes) 1545218118.465 * [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)))))) 1545218118.466 * [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))))) 1545218118.466 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218118.466 * * [misc]simplify: iters left: 6 (14 enodes) 1545218118.468 * * [misc]simplify: iters left: 5 (20 enodes) 1545218118.471 * * [misc]simplify: iters left: 4 (29 enodes) 1545218118.474 * * [misc]simplify: iters left: 3 (30 enodes) 1545218118.478 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218118.478 * [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))))) 1545218118.478 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1545218118.478 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545218118.478 * * [misc]simplify: iters left: 6 (14 enodes) 1545218118.481 * * [misc]simplify: iters left: 5 (24 enodes) 1545218118.485 * * [misc]simplify: iters left: 4 (39 enodes) 1545218118.493 * * [misc]simplify: iters left: 3 (54 enodes) 1545218118.507 * * [misc]simplify: iters left: 2 (80 enodes) 1545218118.527 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545218118.527 * [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)))) 1545218118.527 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545218118.527 * * [misc]simplify: iters left: 6 (13 enodes) 1545218118.531 * * [misc]simplify: iters left: 5 (19 enodes) 1545218118.537 * * [misc]simplify: iters left: 4 (28 enodes) 1545218118.544 * * [misc]simplify: iters left: 3 (30 enodes) 1545218118.552 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545218118.552 * [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)))) 1545218118.552 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1545218118.552 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218118.553 * * [misc]simplify: iters left: 6 (15 enodes) 1545218118.557 * * [misc]simplify: iters left: 5 (23 enodes) 1545218118.564 * * [misc]simplify: iters left: 4 (32 enodes) 1545218118.573 * * [misc]simplify: iters left: 3 (34 enodes) 1545218118.582 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218118.582 * [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))))) 1545218118.582 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545218118.582 * * [misc]simplify: iters left: 6 (14 enodes) 1545218118.585 * * [misc]simplify: iters left: 5 (20 enodes) 1545218118.587 * * [misc]simplify: iters left: 4 (29 enodes) 1545218118.591 * * [misc]simplify: iters left: 3 (30 enodes) 1545218118.595 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545218118.595 * [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))))) 1545218118.595 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1545218118.595 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218118.595 * * [misc]simplify: iters left: 6 (14 enodes) 1545218118.597 * * [misc]simplify: iters left: 5 (20 enodes) 1545218118.600 * * [misc]simplify: iters left: 4 (29 enodes) 1545218118.605 * * [misc]simplify: iters left: 3 (30 enodes) 1545218118.609 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218118.609 * [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))))) 1545218118.609 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218118.609 * * [misc]simplify: iters left: 6 (14 enodes) 1545218118.611 * * [misc]simplify: iters left: 5 (20 enodes) 1545218118.614 * * [misc]simplify: iters left: 4 (29 enodes) 1545218118.618 * * [misc]simplify: iters left: 3 (30 enodes) 1545218118.622 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218118.622 * [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))))) 1545218118.622 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1545218118.622 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545218118.622 * * [misc]simplify: iters left: 6 (13 enodes) 1545218118.624 * * [misc]simplify: iters left: 5 (21 enodes) 1545218118.627 * * [misc]simplify: iters left: 4 (32 enodes) 1545218118.631 * * [misc]simplify: iters left: 3 (33 enodes) 1545218118.634 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545218118.634 * [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)))) 1545218118.635 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545218118.635 * * [misc]simplify: iters left: 6 (13 enodes) 1545218118.638 * * [misc]simplify: iters left: 5 (19 enodes) 1545218118.644 * * [misc]simplify: iters left: 4 (28 enodes) 1545218118.651 * * [misc]simplify: iters left: 3 (30 enodes) 1545218118.659 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545218118.659 * [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)))) 1545218118.659 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1545218118.659 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218118.659 * * [misc]simplify: iters left: 6 (6 enodes) 1545218118.661 * * [misc]simplify: iters left: 5 (10 enodes) 1545218118.664 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545218118.664 * [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))))) 1545218118.664 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545218118.664 * * [misc]simplify: iters left: 6 (13 enodes) 1545218118.668 * * [misc]simplify: iters left: 5 (19 enodes) 1545218118.674 * * [misc]simplify: iters left: 4 (28 enodes) 1545218118.681 * * [misc]simplify: iters left: 3 (30 enodes) 1545218118.689 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545218118.689 * [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))))) 1545218118.689 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1545218118.689 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545218118.689 * * [misc]simplify: iters left: 4 (5 enodes) 1545218118.691 * * [misc]simplify: iters left: 3 (7 enodes) 1545218118.693 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545218118.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545218118.693 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218118.693 * * [misc]simplify: iters left: 6 (13 enodes) 1545218118.697 * * [misc]simplify: iters left: 5 (19 enodes) 1545218118.703 * * [misc]simplify: iters left: 4 (28 enodes) 1545218118.710 * * [misc]simplify: iters left: 3 (30 enodes) 1545218118.717 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218118.717 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545218118.718 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1545218118.718 * [enter]simplify: Simplifying (/ 1 1) 1545218118.718 * * [misc]simplify: iters left: 2 (2 enodes) 1545218118.719 * * [misc]simplify: iters left: 1 (4 enodes) 1545218118.719 * [exit]simplify: Simplified to 1 1545218118.719 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545218118.720 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545218118.720 * * [misc]simplify: iters left: 6 (12 enodes) 1545218118.722 * * [misc]simplify: iters left: 5 (18 enodes) 1545218118.724 * * [misc]simplify: iters left: 4 (27 enodes) 1545218118.728 * * [misc]simplify: iters left: 3 (29 enodes) 1545218118.731 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545218118.732 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545218118.732 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1545218118.732 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1545218118.732 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1545218118.732 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1545218118.732 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545218118.732 * * [misc]simplify: iters left: 2 (3 enodes) 1545218118.732 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545218118.732 * [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)))) 1545218118.732 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1545218118.733 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545218118.733 * * [misc]simplify: iters left: 2 (3 enodes) 1545218118.733 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545218118.733 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545218118.733 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1545218118.733 * [enter]simplify: Simplifying (sqrt k) 1545218118.733 * * [misc]simplify: iters left: 1 (2 enodes) 1545218118.734 * [exit]simplify: Simplified to (sqrt k) 1545218118.734 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545218118.734 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1545218118.734 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545218118.734 * * [misc]simplify: iters left: 5 (7 enodes) 1545218118.735 * * [misc]simplify: iters left: 4 (12 enodes) 1545218118.737 * * [misc]simplify: iters left: 3 (18 enodes) 1545218118.739 * * [misc]simplify: iters left: 2 (20 enodes) 1545218118.741 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545218118.741 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545218118.741 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1545218118.741 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545218118.741 * * [misc]simplify: iters left: 5 (7 enodes) 1545218118.743 * * [misc]simplify: iters left: 4 (12 enodes) 1545218118.744 * * [misc]simplify: iters left: 3 (18 enodes) 1545218118.747 * * [misc]simplify: iters left: 2 (20 enodes) 1545218118.751 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545218118.751 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545218118.751 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1545218118.751 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545218118.751 * * [misc]simplify: iters left: 5 (7 enodes) 1545218118.753 * * [misc]simplify: iters left: 4 (9 enodes) 1545218118.756 * * [misc]simplify: iters left: 3 (12 enodes) 1545218118.759 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545218118.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218118.759 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1545218118.760 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218118.760 * * [misc]simplify: iters left: 6 (12 enodes) 1545218118.764 * * [misc]simplify: iters left: 5 (18 enodes) 1545218118.769 * * [misc]simplify: iters left: 4 (27 enodes) 1545218118.776 * * [misc]simplify: iters left: 3 (29 enodes) 1545218118.779 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545218118.779 * [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))))))) 1545218118.779 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1545218118.780 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218118.780 * * [misc]simplify: iters left: 6 (11 enodes) 1545218118.781 * * [misc]simplify: iters left: 5 (17 enodes) 1545218118.784 * * [misc]simplify: iters left: 4 (26 enodes) 1545218118.787 * * [misc]simplify: iters left: 3 (27 enodes) 1545218118.790 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545218118.790 * [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))))))) 1545218118.790 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1545218118.790 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1545218118.790 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545218118.791 * * [misc]simplify: iters left: 5 (7 enodes) 1545218118.792 * * [misc]simplify: iters left: 4 (12 enodes) 1545218118.793 * * [misc]simplify: iters left: 3 (18 enodes) 1545218118.796 * * [misc]simplify: iters left: 2 (20 enodes) 1545218118.798 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545218118.798 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545218118.798 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1545218118.798 * [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))))) 1545218118.799 * * [misc]simplify: iters left: 6 (37 enodes) 1545218118.806 * * [misc]simplify: iters left: 5 (108 enodes) 1545218118.845 * * [misc]simplify: iters left: 4 (368 enodes) 1545218119.127 * [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)))))) 1545218119.127 * [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))) 1545218119.127 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1545218119.127 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545218119.128 * * [misc]simplify: iters left: 6 (15 enodes) 1545218119.134 * * [misc]simplify: iters left: 5 (33 enodes) 1545218119.142 * * [misc]simplify: iters left: 4 (64 enodes) 1545218119.158 * * [misc]simplify: iters left: 3 (179 enodes) 1545218119.278 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545218119.279 * [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))) 1545218119.279 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1545218119.279 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545218119.279 * * [misc]simplify: iters left: 6 (15 enodes) 1545218119.285 * * [misc]simplify: iters left: 5 (30 enodes) 1545218119.296 * * [misc]simplify: iters left: 4 (65 enodes) 1545218119.324 * * [misc]simplify: iters left: 3 (208 enodes) 1545218119.462 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545218119.462 * [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))) 1545218119.462 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1545218119.462 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545218119.462 * * [misc]simplify: iters left: 4 (5 enodes) 1545218119.463 * * [misc]simplify: iters left: 3 (9 enodes) 1545218119.464 * * [misc]simplify: iters left: 2 (15 enodes) 1545218119.466 * * [misc]simplify: iters left: 1 (17 enodes) 1545218119.471 * [exit]simplify: Simplified to (* (* PI n) 2) 1545218119.471 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545218119.471 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1545218119.471 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545218119.471 * * [misc]simplify: iters left: 4 (5 enodes) 1545218119.472 * * [misc]simplify: iters left: 3 (9 enodes) 1545218119.473 * * [misc]simplify: iters left: 2 (15 enodes) 1545218119.475 * * [misc]simplify: iters left: 1 (17 enodes) 1545218119.477 * [exit]simplify: Simplified to (* (* PI n) 2) 1545218119.477 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545218119.477 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1545218119.477 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545218119.477 * * [misc]simplify: iters left: 4 (5 enodes) 1545218119.478 * * [misc]simplify: iters left: 3 (9 enodes) 1545218119.480 * * [misc]simplify: iters left: 2 (15 enodes) 1545218119.484 * * [misc]simplify: iters left: 1 (17 enodes) 1545218119.488 * [exit]simplify: Simplified to (* (* PI n) 2) 1545218119.488 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545218119.488 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1545218119.488 * [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)))))))))))))))))))))) 1545218119.488 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218119.489 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1545218119.489 * [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)))))))) 1545218119.489 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218119.489 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1545218119.489 * [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))))))))))) 1545218119.489 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218119.489 * * * [misc]progress: adding candidates to table 1545218120.518 * * [misc]progress: iteration 2 / 4 1545218120.518 * * * [misc]progress: picking best candidate 1545218120.553 * * * * [misc]pick: Picked # 1545218120.553 * * * [misc]progress: localizing error 1545218120.559 * * * [misc]progress: generating rewritten candidates 1545218120.559 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1545218120.564 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1545218120.567 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545218120.579 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545218120.596 * * * [misc]progress: generating series expansions 1545218120.596 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1545218120.597 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545218120.597 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545218120.597 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545218120.597 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545218120.597 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545218120.597 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218120.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.597 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218120.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.597 * [misc]taylor: Taking taylor expansion of k in k 1545218120.597 * [misc]backup-simplify: Simplify 0 into 0 1545218120.597 * [misc]backup-simplify: Simplify 1 into 1 1545218120.597 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545218120.597 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545218120.597 * [misc]taylor: Taking taylor expansion of 2 in k 1545218120.597 * [misc]backup-simplify: Simplify 2 into 2 1545218120.597 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545218120.597 * [misc]taylor: Taking taylor expansion of n in k 1545218120.597 * [misc]backup-simplify: Simplify n into n 1545218120.597 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.597 * [misc]backup-simplify: Simplify PI into PI 1545218120.597 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545218120.597 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545218120.597 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545218120.598 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218120.598 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.598 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218120.598 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545218120.598 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545218120.598 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545218120.598 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545218120.599 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545218120.599 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218120.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.599 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218120.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.599 * [misc]taylor: Taking taylor expansion of k in n 1545218120.599 * [misc]backup-simplify: Simplify k into k 1545218120.599 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218120.599 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218120.599 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.599 * [misc]backup-simplify: Simplify 2 into 2 1545218120.599 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218120.599 * [misc]taylor: Taking taylor expansion of n in n 1545218120.599 * [misc]backup-simplify: Simplify 0 into 0 1545218120.599 * [misc]backup-simplify: Simplify 1 into 1 1545218120.599 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.599 * [misc]backup-simplify: Simplify PI into PI 1545218120.599 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218120.600 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218120.600 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218120.601 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218120.601 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.601 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218120.601 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218120.602 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218120.602 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218120.603 * [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)))) 1545218120.603 * [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))))) 1545218120.603 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545218120.603 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545218120.603 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545218120.604 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218120.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.604 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218120.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.604 * [misc]taylor: Taking taylor expansion of k in n 1545218120.604 * [misc]backup-simplify: Simplify k into k 1545218120.604 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218120.604 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218120.604 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.604 * [misc]backup-simplify: Simplify 2 into 2 1545218120.604 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218120.604 * [misc]taylor: Taking taylor expansion of n in n 1545218120.604 * [misc]backup-simplify: Simplify 0 into 0 1545218120.604 * [misc]backup-simplify: Simplify 1 into 1 1545218120.604 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.604 * [misc]backup-simplify: Simplify PI into PI 1545218120.604 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218120.604 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218120.605 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218120.606 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218120.606 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.606 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218120.606 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218120.606 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218120.607 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218120.607 * [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)))) 1545218120.608 * [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))))) 1545218120.608 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545218120.608 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545218120.608 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218120.608 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.608 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218120.608 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.608 * [misc]taylor: Taking taylor expansion of k in k 1545218120.608 * [misc]backup-simplify: Simplify 0 into 0 1545218120.608 * [misc]backup-simplify: Simplify 1 into 1 1545218120.609 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545218120.609 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218120.609 * [misc]taylor: Taking taylor expansion of n in k 1545218120.609 * [misc]backup-simplify: Simplify n into n 1545218120.609 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218120.609 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545218120.609 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545218120.609 * [misc]taylor: Taking taylor expansion of 2 in k 1545218120.609 * [misc]backup-simplify: Simplify 2 into 2 1545218120.609 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.609 * [misc]backup-simplify: Simplify PI into PI 1545218120.609 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.609 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.610 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218120.610 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.610 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218120.610 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218120.611 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545218120.612 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545218120.612 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545218120.613 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218120.614 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545218120.617 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218120.617 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545218120.617 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.618 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218120.619 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545218120.621 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218120.621 * [misc]taylor: Taking taylor expansion of 0 in k 1545218120.621 * [misc]backup-simplify: Simplify 0 into 0 1545218120.621 * [misc]backup-simplify: Simplify 0 into 0 1545218120.622 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545218120.622 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218120.625 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218120.625 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.625 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218120.625 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218120.625 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218120.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545218120.628 * [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))))))) 1545218120.629 * [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))))))) 1545218120.631 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218120.632 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545218120.637 * [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 1545218120.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545218120.637 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.637 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.638 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218120.639 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545218120.641 * [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 1545218120.641 * [misc]taylor: Taking taylor expansion of 0 in k 1545218120.641 * [misc]backup-simplify: Simplify 0 into 0 1545218120.641 * [misc]backup-simplify: Simplify 0 into 0 1545218120.641 * [misc]backup-simplify: Simplify 0 into 0 1545218120.643 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545218120.644 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218120.648 * [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 1545218120.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.649 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218120.649 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.650 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545218120.652 * [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))))) 1545218120.655 * [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))))) 1545218120.660 * [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))))) 1545218120.660 * [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)))) 1545218120.660 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545218120.660 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218120.660 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545218120.660 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545218120.660 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218120.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.661 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.661 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218120.661 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.661 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.661 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.661 * [misc]taylor: Taking taylor expansion of k in k 1545218120.661 * [misc]backup-simplify: Simplify 0 into 0 1545218120.661 * [misc]backup-simplify: Simplify 1 into 1 1545218120.661 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.661 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545218120.661 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545218120.661 * [misc]taylor: Taking taylor expansion of 2 in k 1545218120.661 * [misc]backup-simplify: Simplify 2 into 2 1545218120.661 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218120.661 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.661 * [misc]backup-simplify: Simplify PI into PI 1545218120.661 * [misc]taylor: Taking taylor expansion of n in k 1545218120.661 * [misc]backup-simplify: Simplify n into n 1545218120.661 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218120.661 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545218120.661 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545218120.662 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218120.662 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218120.662 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218120.662 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545218120.662 * [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)))) 1545218120.662 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218120.662 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218120.662 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218120.662 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218120.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.663 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.663 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.663 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.663 * [misc]taylor: Taking taylor expansion of k in n 1545218120.663 * [misc]backup-simplify: Simplify k into k 1545218120.663 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.663 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218120.663 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218120.663 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.663 * [misc]backup-simplify: Simplify 2 into 2 1545218120.663 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.663 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.663 * [misc]backup-simplify: Simplify PI into PI 1545218120.663 * [misc]taylor: Taking taylor expansion of n in n 1545218120.663 * [misc]backup-simplify: Simplify 0 into 0 1545218120.663 * [misc]backup-simplify: Simplify 1 into 1 1545218120.663 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.664 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.664 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.664 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.664 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218120.664 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218120.665 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.666 * [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))) 1545218120.666 * [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)))) 1545218120.666 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218120.666 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218120.666 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218120.666 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218120.666 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.667 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.667 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.667 * [misc]taylor: Taking taylor expansion of k in n 1545218120.667 * [misc]backup-simplify: Simplify k into k 1545218120.667 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.667 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218120.667 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218120.667 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.667 * [misc]backup-simplify: Simplify 2 into 2 1545218120.667 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.667 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.667 * [misc]backup-simplify: Simplify PI into PI 1545218120.667 * [misc]taylor: Taking taylor expansion of n in n 1545218120.667 * [misc]backup-simplify: Simplify 0 into 0 1545218120.667 * [misc]backup-simplify: Simplify 1 into 1 1545218120.667 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.668 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.668 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.668 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.668 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218120.668 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218120.669 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.670 * [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))) 1545218120.670 * [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)))) 1545218120.670 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545218120.670 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545218120.670 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218120.670 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.670 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218120.670 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.671 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.671 * [misc]taylor: Taking taylor expansion of k in k 1545218120.671 * [misc]backup-simplify: Simplify 0 into 0 1545218120.671 * [misc]backup-simplify: Simplify 1 into 1 1545218120.671 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.671 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545218120.671 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545218120.671 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545218120.671 * [misc]taylor: Taking taylor expansion of 2 in k 1545218120.671 * [misc]backup-simplify: Simplify 2 into 2 1545218120.671 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.671 * [misc]backup-simplify: Simplify PI into PI 1545218120.671 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.672 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.672 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218120.672 * [misc]taylor: Taking taylor expansion of n in k 1545218120.672 * [misc]backup-simplify: Simplify n into n 1545218120.672 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218120.672 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218120.673 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218120.673 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218120.673 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218120.673 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545218120.674 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545218120.674 * [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)))) 1545218120.675 * [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)))) 1545218120.676 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218120.677 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218120.679 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218120.679 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218120.680 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218120.680 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.680 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.681 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.681 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545218120.683 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218120.683 * [misc]taylor: Taking taylor expansion of 0 in k 1545218120.683 * [misc]backup-simplify: Simplify 0 into 0 1545218120.683 * [misc]backup-simplify: Simplify 0 into 0 1545218120.683 * [misc]backup-simplify: Simplify 0 into 0 1545218120.684 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218120.690 * [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 1545218120.690 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218120.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218120.691 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.692 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.692 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545218120.695 * [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 1545218120.695 * [misc]taylor: Taking taylor expansion of 0 in k 1545218120.695 * [misc]backup-simplify: Simplify 0 into 0 1545218120.695 * [misc]backup-simplify: Simplify 0 into 0 1545218120.695 * [misc]backup-simplify: Simplify 0 into 0 1545218120.695 * [misc]backup-simplify: Simplify 0 into 0 1545218120.697 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.698 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218120.706 * [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 1545218120.706 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218120.706 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545218120.706 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.707 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.708 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545218120.714 * [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 1545218120.714 * [misc]taylor: Taking taylor expansion of 0 in k 1545218120.714 * [misc]backup-simplify: Simplify 0 into 0 1545218120.714 * [misc]backup-simplify: Simplify 0 into 0 1545218120.715 * [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))))) 1545218120.715 * [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)) 1545218120.715 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545218120.715 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218120.715 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545218120.715 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545218120.715 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218120.715 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218120.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.715 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.715 * [misc]taylor: Taking taylor expansion of k in k 1545218120.715 * [misc]backup-simplify: Simplify 0 into 0 1545218120.715 * [misc]backup-simplify: Simplify 1 into 1 1545218120.715 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.716 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545218120.716 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545218120.716 * [misc]taylor: Taking taylor expansion of -2 in k 1545218120.716 * [misc]backup-simplify: Simplify -2 into -2 1545218120.716 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218120.716 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.716 * [misc]backup-simplify: Simplify PI into PI 1545218120.716 * [misc]taylor: Taking taylor expansion of n in k 1545218120.716 * [misc]backup-simplify: Simplify n into n 1545218120.716 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218120.716 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545218120.716 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545218120.716 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218120.716 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218120.716 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545218120.717 * [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))) 1545218120.717 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218120.717 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545218120.717 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545218120.717 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218120.717 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.717 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.717 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.717 * [misc]taylor: Taking taylor expansion of k in n 1545218120.717 * [misc]backup-simplify: Simplify k into k 1545218120.717 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.717 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.717 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218120.717 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218120.717 * [misc]taylor: Taking taylor expansion of -2 in n 1545218120.717 * [misc]backup-simplify: Simplify -2 into -2 1545218120.717 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.717 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.717 * [misc]backup-simplify: Simplify PI into PI 1545218120.717 * [misc]taylor: Taking taylor expansion of n in n 1545218120.717 * [misc]backup-simplify: Simplify 0 into 0 1545218120.717 * [misc]backup-simplify: Simplify 1 into 1 1545218120.718 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.718 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218120.719 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218120.719 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.719 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218120.719 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218120.720 * [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))) 1545218120.721 * [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)))) 1545218120.721 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218120.721 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545218120.721 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545218120.721 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218120.721 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.721 * [misc]taylor: Taking taylor expansion of k in n 1545218120.721 * [misc]backup-simplify: Simplify k into k 1545218120.721 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.721 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218120.721 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218120.721 * [misc]taylor: Taking taylor expansion of -2 in n 1545218120.721 * [misc]backup-simplify: Simplify -2 into -2 1545218120.721 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.721 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.721 * [misc]backup-simplify: Simplify PI into PI 1545218120.721 * [misc]taylor: Taking taylor expansion of n in n 1545218120.721 * [misc]backup-simplify: Simplify 0 into 0 1545218120.721 * [misc]backup-simplify: Simplify 1 into 1 1545218120.722 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.722 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218120.722 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218120.722 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.722 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218120.723 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218120.724 * [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))) 1545218120.724 * [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)))) 1545218120.724 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545218120.724 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545218120.724 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218120.724 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218120.725 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.725 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.725 * [misc]taylor: Taking taylor expansion of k in k 1545218120.725 * [misc]backup-simplify: Simplify 0 into 0 1545218120.725 * [misc]backup-simplify: Simplify 1 into 1 1545218120.725 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.725 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.725 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545218120.725 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545218120.725 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545218120.725 * [misc]taylor: Taking taylor expansion of -2 in k 1545218120.725 * [misc]backup-simplify: Simplify -2 into -2 1545218120.725 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.725 * [misc]backup-simplify: Simplify PI into PI 1545218120.725 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218120.726 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218120.726 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218120.726 * [misc]taylor: Taking taylor expansion of n in k 1545218120.726 * [misc]backup-simplify: Simplify n into n 1545218120.726 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218120.726 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218120.726 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218120.726 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218120.727 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545218120.727 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545218120.728 * [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)))) 1545218120.728 * [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)))) 1545218120.730 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218120.730 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545218120.733 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545218120.733 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218120.733 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218120.733 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.734 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218120.735 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545218120.737 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218120.737 * [misc]taylor: Taking taylor expansion of 0 in k 1545218120.737 * [misc]backup-simplify: Simplify 0 into 0 1545218120.737 * [misc]backup-simplify: Simplify 0 into 0 1545218120.737 * [misc]backup-simplify: Simplify 0 into 0 1545218120.738 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.739 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218120.744 * [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 1545218120.744 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218120.744 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218120.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.745 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218120.746 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545218120.748 * [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 1545218120.748 * [misc]taylor: Taking taylor expansion of 0 in k 1545218120.748 * [misc]backup-simplify: Simplify 0 into 0 1545218120.748 * [misc]backup-simplify: Simplify 0 into 0 1545218120.748 * [misc]backup-simplify: Simplify 0 into 0 1545218120.748 * [misc]backup-simplify: Simplify 0 into 0 1545218120.750 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.752 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218120.759 * [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 1545218120.759 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218120.760 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545218120.760 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218120.762 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545218120.765 * [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 1545218120.765 * [misc]taylor: Taking taylor expansion of 0 in k 1545218120.765 * [misc]backup-simplify: Simplify 0 into 0 1545218120.765 * [misc]backup-simplify: Simplify 0 into 0 1545218120.766 * [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))))) 1545218120.766 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1545218120.766 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545218120.766 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545218120.766 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218120.766 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.766 * [misc]backup-simplify: Simplify 2 into 2 1545218120.766 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218120.766 * [misc]taylor: Taking taylor expansion of n in n 1545218120.766 * [misc]backup-simplify: Simplify 0 into 0 1545218120.766 * [misc]backup-simplify: Simplify 1 into 1 1545218120.766 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.767 * [misc]backup-simplify: Simplify PI into PI 1545218120.767 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218120.767 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.767 * [misc]backup-simplify: Simplify 2 into 2 1545218120.767 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218120.767 * [misc]taylor: Taking taylor expansion of n in n 1545218120.767 * [misc]backup-simplify: Simplify 0 into 0 1545218120.767 * [misc]backup-simplify: Simplify 1 into 1 1545218120.767 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.767 * [misc]backup-simplify: Simplify PI into PI 1545218120.767 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218120.767 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218120.767 * [misc]backup-simplify: Simplify 0 into 0 1545218120.768 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218120.769 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218120.769 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.770 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218120.771 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545218120.771 * [misc]backup-simplify: Simplify 0 into 0 1545218120.772 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218120.774 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545218120.774 * [misc]backup-simplify: Simplify 0 into 0 1545218120.776 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545218120.778 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545218120.778 * [misc]backup-simplify: Simplify 0 into 0 1545218120.781 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545218120.783 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545218120.783 * [misc]backup-simplify: Simplify 0 into 0 1545218120.786 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545218120.789 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545218120.789 * [misc]backup-simplify: Simplify 0 into 0 1545218120.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545218120.796 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545218120.796 * [misc]backup-simplify: Simplify 0 into 0 1545218120.796 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545218120.797 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545218120.797 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545218120.797 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218120.797 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.797 * [misc]backup-simplify: Simplify 2 into 2 1545218120.797 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.797 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.797 * [misc]backup-simplify: Simplify PI into PI 1545218120.797 * [misc]taylor: Taking taylor expansion of n in n 1545218120.797 * [misc]backup-simplify: Simplify 0 into 0 1545218120.797 * [misc]backup-simplify: Simplify 1 into 1 1545218120.797 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.797 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218120.797 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.797 * [misc]backup-simplify: Simplify 2 into 2 1545218120.797 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.797 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.797 * [misc]backup-simplify: Simplify PI into PI 1545218120.797 * [misc]taylor: Taking taylor expansion of n in n 1545218120.797 * [misc]backup-simplify: Simplify 0 into 0 1545218120.797 * [misc]backup-simplify: Simplify 1 into 1 1545218120.798 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.798 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.798 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.799 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218120.800 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218120.800 * [misc]backup-simplify: Simplify 0 into 0 1545218120.801 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.802 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218120.802 * [misc]backup-simplify: Simplify 0 into 0 1545218120.804 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.805 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218120.805 * [misc]backup-simplify: Simplify 0 into 0 1545218120.807 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.809 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545218120.809 * [misc]backup-simplify: Simplify 0 into 0 1545218120.811 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.814 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545218120.814 * [misc]backup-simplify: Simplify 0 into 0 1545218120.816 * [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 1545218120.820 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545218120.820 * [misc]backup-simplify: Simplify 0 into 0 1545218120.820 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545218120.820 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545218120.821 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545218120.821 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218120.821 * [misc]taylor: Taking taylor expansion of -2 in n 1545218120.821 * [misc]backup-simplify: Simplify -2 into -2 1545218120.821 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.821 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.821 * [misc]backup-simplify: Simplify PI into PI 1545218120.821 * [misc]taylor: Taking taylor expansion of n in n 1545218120.821 * [misc]backup-simplify: Simplify 0 into 0 1545218120.821 * [misc]backup-simplify: Simplify 1 into 1 1545218120.821 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.821 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218120.821 * [misc]taylor: Taking taylor expansion of -2 in n 1545218120.821 * [misc]backup-simplify: Simplify -2 into -2 1545218120.821 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.821 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.821 * [misc]backup-simplify: Simplify PI into PI 1545218120.821 * [misc]taylor: Taking taylor expansion of n in n 1545218120.821 * [misc]backup-simplify: Simplify 0 into 0 1545218120.821 * [misc]backup-simplify: Simplify 1 into 1 1545218120.822 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.822 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218120.822 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218120.823 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218120.824 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545218120.824 * [misc]backup-simplify: Simplify 0 into 0 1545218120.825 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.826 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545218120.826 * [misc]backup-simplify: Simplify 0 into 0 1545218120.828 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.829 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218120.829 * [misc]backup-simplify: Simplify 0 into 0 1545218120.831 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.833 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545218120.833 * [misc]backup-simplify: Simplify 0 into 0 1545218120.835 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.837 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545218120.837 * [misc]backup-simplify: Simplify 0 into 0 1545218120.840 * [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 1545218120.843 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545218120.843 * [misc]backup-simplify: Simplify 0 into 0 1545218120.844 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545218120.844 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545218120.844 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545218120.844 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545218120.844 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545218120.844 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545218120.844 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545218120.844 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545218120.844 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545218120.844 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218120.844 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.844 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218120.844 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.844 * [misc]taylor: Taking taylor expansion of k in n 1545218120.845 * [misc]backup-simplify: Simplify k into k 1545218120.845 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218120.845 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218120.845 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.845 * [misc]backup-simplify: Simplify 2 into 2 1545218120.845 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218120.845 * [misc]taylor: Taking taylor expansion of n in n 1545218120.845 * [misc]backup-simplify: Simplify 0 into 0 1545218120.845 * [misc]backup-simplify: Simplify 1 into 1 1545218120.845 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.845 * [misc]backup-simplify: Simplify PI into PI 1545218120.845 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218120.845 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218120.846 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218120.847 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218120.847 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.847 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218120.847 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218120.847 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218120.848 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218120.849 * [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)))) 1545218120.849 * [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))))) 1545218120.850 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1545218120.850 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545218120.850 * [misc]taylor: Taking taylor expansion of k in n 1545218120.850 * [misc]backup-simplify: Simplify k into k 1545218120.850 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545218120.850 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545218120.850 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545218120.850 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545218120.850 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545218120.850 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545218120.850 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545218120.850 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218120.850 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.850 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218120.850 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.850 * [misc]taylor: Taking taylor expansion of k in k 1545218120.850 * [misc]backup-simplify: Simplify 0 into 0 1545218120.851 * [misc]backup-simplify: Simplify 1 into 1 1545218120.851 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545218120.851 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545218120.851 * [misc]taylor: Taking taylor expansion of 2 in k 1545218120.851 * [misc]backup-simplify: Simplify 2 into 2 1545218120.851 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545218120.851 * [misc]taylor: Taking taylor expansion of n in k 1545218120.851 * [misc]backup-simplify: Simplify n into n 1545218120.851 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.851 * [misc]backup-simplify: Simplify PI into PI 1545218120.851 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545218120.851 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545218120.851 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545218120.851 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218120.851 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.851 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218120.852 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545218120.852 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545218120.852 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545218120.852 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218120.852 * [misc]taylor: Taking taylor expansion of k in k 1545218120.852 * [misc]backup-simplify: Simplify 0 into 0 1545218120.852 * [misc]backup-simplify: Simplify 1 into 1 1545218120.852 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218120.853 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218120.853 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.853 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.853 * [misc]taylor: Taking taylor expansion of k in k 1545218120.853 * [misc]backup-simplify: Simplify 0 into 0 1545218120.853 * [misc]backup-simplify: Simplify 1 into 1 1545218120.853 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of 2 in k 1545218120.853 * [misc]backup-simplify: Simplify 2 into 2 1545218120.853 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545218120.853 * [misc]taylor: Taking taylor expansion of n in k 1545218120.853 * [misc]backup-simplify: Simplify n into n 1545218120.853 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.853 * [misc]backup-simplify: Simplify PI into PI 1545218120.853 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545218120.853 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545218120.853 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545218120.854 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218120.854 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.854 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218120.854 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545218120.854 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545218120.854 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545218120.854 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218120.854 * [misc]taylor: Taking taylor expansion of k in k 1545218120.854 * [misc]backup-simplify: Simplify 0 into 0 1545218120.854 * [misc]backup-simplify: Simplify 1 into 1 1545218120.855 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218120.855 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218120.855 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1545218120.855 * [misc]taylor: Taking taylor expansion of 0 in n 1545218120.855 * [misc]backup-simplify: Simplify 0 into 0 1545218120.855 * [misc]backup-simplify: Simplify 0 into 0 1545218120.856 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545218120.856 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545218120.857 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545218120.857 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218120.857 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218120.857 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218120.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545218120.858 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1545218120.858 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1545218120.859 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1545218120.860 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545218120.860 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545218120.860 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218120.860 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218120.860 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545218120.860 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545218120.860 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545218120.860 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218120.860 * [misc]taylor: Taking taylor expansion of n in n 1545218120.860 * [misc]backup-simplify: Simplify 0 into 0 1545218120.860 * [misc]backup-simplify: Simplify 1 into 1 1545218120.860 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.860 * [misc]backup-simplify: Simplify PI into PI 1545218120.860 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218120.861 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218120.861 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545218120.861 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218120.862 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545218120.862 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545218120.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.862 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545218120.862 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545218120.864 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545218120.864 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545218120.866 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545218120.867 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545218120.868 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545218120.868 * [misc]backup-simplify: Simplify 0 into 0 1545218120.869 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218120.870 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545218120.871 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545218120.872 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1545218120.872 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218120.872 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.873 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.873 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545218120.874 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1545218120.876 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1545218120.880 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1545218120.880 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1545218120.880 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1545218120.880 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1545218120.880 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218120.880 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218120.880 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1545218120.880 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1545218120.880 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218120.880 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.880 * [misc]backup-simplify: Simplify 2 into 2 1545218120.881 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218120.881 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218120.881 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1545218120.881 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218120.881 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218120.881 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.881 * [misc]backup-simplify: Simplify 2 into 2 1545218120.881 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218120.881 * [misc]taylor: Taking taylor expansion of n in n 1545218120.881 * [misc]backup-simplify: Simplify 0 into 0 1545218120.881 * [misc]backup-simplify: Simplify 1 into 1 1545218120.881 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.881 * [misc]backup-simplify: Simplify PI into PI 1545218120.881 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218120.881 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218120.882 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218120.883 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218120.883 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.883 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545218120.883 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545218120.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.883 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545218120.884 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545218120.884 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545218120.884 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545218120.884 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218120.884 * [misc]taylor: Taking taylor expansion of n in n 1545218120.884 * [misc]backup-simplify: Simplify 0 into 0 1545218120.884 * [misc]backup-simplify: Simplify 1 into 1 1545218120.884 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.884 * [misc]backup-simplify: Simplify PI into PI 1545218120.884 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218120.885 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218120.885 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545218120.885 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218120.886 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545218120.886 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545218120.886 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545218120.886 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218120.886 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218120.886 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545218120.886 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545218120.886 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545218120.886 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218120.886 * [misc]taylor: Taking taylor expansion of n in n 1545218120.886 * [misc]backup-simplify: Simplify 0 into 0 1545218120.886 * [misc]backup-simplify: Simplify 1 into 1 1545218120.886 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.886 * [misc]backup-simplify: Simplify PI into PI 1545218120.886 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218120.887 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218120.887 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545218120.887 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218120.888 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545218120.888 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545218120.888 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.888 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545218120.889 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545218120.890 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218120.890 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545218120.891 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1545218120.892 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1545218120.893 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218120.893 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545218120.894 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218120.895 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545218120.897 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218120.898 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545218120.900 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1545218120.901 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1545218120.902 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1545218120.907 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1545218120.908 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545218120.908 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545218120.909 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545218120.910 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545218120.913 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545218120.917 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545218120.921 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545218120.922 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545218120.922 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218120.923 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1545218120.924 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1545218120.925 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545218120.928 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545218120.929 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545218120.930 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545218120.935 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1545218120.936 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545218120.936 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545218120.936 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.936 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.936 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of k in n 1545218120.936 * [misc]backup-simplify: Simplify k into k 1545218120.936 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.936 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.936 * [misc]backup-simplify: Simplify 2 into 2 1545218120.936 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.936 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.936 * [misc]backup-simplify: Simplify PI into PI 1545218120.936 * [misc]taylor: Taking taylor expansion of n in n 1545218120.937 * [misc]backup-simplify: Simplify 0 into 0 1545218120.937 * [misc]backup-simplify: Simplify 1 into 1 1545218120.937 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.937 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.938 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.938 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.938 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218120.938 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218120.939 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.940 * [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))) 1545218120.940 * [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)))) 1545218120.941 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545218120.941 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545218120.941 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.941 * [misc]taylor: Taking taylor expansion of k in n 1545218120.941 * [misc]backup-simplify: Simplify k into k 1545218120.941 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.941 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545218120.941 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218120.941 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545218120.941 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545218120.941 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545218120.941 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218120.942 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545218120.942 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545218120.942 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218120.942 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.942 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218120.942 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.942 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.942 * [misc]taylor: Taking taylor expansion of k in k 1545218120.942 * [misc]backup-simplify: Simplify 0 into 0 1545218120.942 * [misc]backup-simplify: Simplify 1 into 1 1545218120.942 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.942 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545218120.942 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545218120.942 * [misc]taylor: Taking taylor expansion of 2 in k 1545218120.942 * [misc]backup-simplify: Simplify 2 into 2 1545218120.942 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218120.942 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.942 * [misc]backup-simplify: Simplify PI into PI 1545218120.942 * [misc]taylor: Taking taylor expansion of n in k 1545218120.942 * [misc]backup-simplify: Simplify n into n 1545218120.942 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218120.942 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545218120.943 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545218120.943 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218120.943 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218120.943 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218120.943 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545218120.943 * [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)))) 1545218120.944 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545218120.944 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218120.944 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.944 * [misc]taylor: Taking taylor expansion of k in k 1545218120.944 * [misc]backup-simplify: Simplify 0 into 0 1545218120.944 * [misc]backup-simplify: Simplify 1 into 1 1545218120.944 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.944 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218120.944 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218120.945 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.945 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.945 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of k in k 1545218120.945 * [misc]backup-simplify: Simplify 0 into 0 1545218120.945 * [misc]backup-simplify: Simplify 1 into 1 1545218120.945 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.945 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of 2 in k 1545218120.945 * [misc]backup-simplify: Simplify 2 into 2 1545218120.945 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218120.945 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.945 * [misc]backup-simplify: Simplify PI into PI 1545218120.945 * [misc]taylor: Taking taylor expansion of n in k 1545218120.945 * [misc]backup-simplify: Simplify n into n 1545218120.945 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218120.946 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545218120.946 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545218120.946 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218120.946 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218120.946 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218120.946 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545218120.946 * [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)))) 1545218120.947 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545218120.947 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218120.947 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.947 * [misc]taylor: Taking taylor expansion of k in k 1545218120.947 * [misc]backup-simplify: Simplify 0 into 0 1545218120.947 * [misc]backup-simplify: Simplify 1 into 1 1545218120.947 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.947 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218120.947 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218120.948 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545218120.948 * [misc]taylor: Taking taylor expansion of 0 in n 1545218120.948 * [misc]backup-simplify: Simplify 0 into 0 1545218120.948 * [misc]backup-simplify: Simplify 0 into 0 1545218120.948 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545218120.949 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545218120.949 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218120.949 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218120.949 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.949 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.949 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of k in n 1545218120.949 * [misc]backup-simplify: Simplify k into k 1545218120.949 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.949 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.949 * [misc]backup-simplify: Simplify 2 into 2 1545218120.949 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.949 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.950 * [misc]backup-simplify: Simplify PI into PI 1545218120.950 * [misc]taylor: Taking taylor expansion of n in n 1545218120.950 * [misc]backup-simplify: Simplify 0 into 0 1545218120.950 * [misc]backup-simplify: Simplify 1 into 1 1545218120.950 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.950 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.951 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.951 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.951 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218120.951 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218120.951 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.952 * [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))) 1545218120.952 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545218120.953 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545218120.953 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545218120.953 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545218120.954 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545218120.954 * [misc]backup-simplify: Simplify 0 into 0 1545218120.954 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545218120.955 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218120.955 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545218120.955 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545218120.955 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545218120.955 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218120.955 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218120.955 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218120.955 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218120.955 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218120.955 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218120.955 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218120.955 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218120.955 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.956 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.956 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.956 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.956 * [misc]taylor: Taking taylor expansion of k in n 1545218120.956 * [misc]backup-simplify: Simplify k into k 1545218120.956 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.956 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218120.956 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218120.956 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.956 * [misc]backup-simplify: Simplify 2 into 2 1545218120.956 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.956 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.956 * [misc]backup-simplify: Simplify PI into PI 1545218120.956 * [misc]taylor: Taking taylor expansion of n in n 1545218120.956 * [misc]backup-simplify: Simplify 0 into 0 1545218120.956 * [misc]backup-simplify: Simplify 1 into 1 1545218120.956 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.956 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.956 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.957 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.957 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218120.957 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218120.957 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.957 * [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))) 1545218120.958 * [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)))) 1545218120.958 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545218120.959 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545218120.959 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545218120.960 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545218120.960 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218120.961 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218120.962 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218120.962 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218120.963 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218120.963 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.963 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.963 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.964 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545218120.965 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218120.965 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1545218120.966 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545218120.966 * [misc]backup-simplify: Simplify (- 0) into 0 1545218120.966 * [misc]backup-simplify: Simplify 0 into 0 1545218120.966 * [misc]backup-simplify: Simplify 0 into 0 1545218120.966 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218120.967 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218120.967 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545218120.968 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545218120.968 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218120.968 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218120.968 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of k in n 1545218120.968 * [misc]backup-simplify: Simplify k into k 1545218120.968 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.968 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of 2 in n 1545218120.968 * [misc]backup-simplify: Simplify 2 into 2 1545218120.968 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.968 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.968 * [misc]backup-simplify: Simplify PI into PI 1545218120.968 * [misc]taylor: Taking taylor expansion of n in n 1545218120.968 * [misc]backup-simplify: Simplify 0 into 0 1545218120.968 * [misc]backup-simplify: Simplify 1 into 1 1545218120.968 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.968 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218120.969 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218120.969 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.969 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218120.969 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218120.969 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218120.970 * [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))) 1545218120.970 * [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)))) 1545218120.970 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545218120.971 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545218120.971 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545218120.972 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545218120.973 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1545218120.973 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1545218120.973 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545218120.973 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218120.973 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545218120.973 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545218120.973 * [misc]taylor: Taking taylor expansion of -1 in n 1545218120.973 * [misc]backup-simplify: Simplify -1 into -1 1545218120.974 * [misc]taylor: Taking taylor expansion of k in n 1545218120.974 * [misc]backup-simplify: Simplify k into k 1545218120.974 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545218120.974 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545218120.974 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545218120.974 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545218120.974 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218120.974 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545218120.974 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545218120.974 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218120.974 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.974 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.974 * [misc]taylor: Taking taylor expansion of k in n 1545218120.974 * [misc]backup-simplify: Simplify k into k 1545218120.974 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.974 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218120.974 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218120.974 * [misc]taylor: Taking taylor expansion of -2 in n 1545218120.974 * [misc]backup-simplify: Simplify -2 into -2 1545218120.974 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.974 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.974 * [misc]backup-simplify: Simplify PI into PI 1545218120.974 * [misc]taylor: Taking taylor expansion of n in n 1545218120.974 * [misc]backup-simplify: Simplify 0 into 0 1545218120.974 * [misc]backup-simplify: Simplify 1 into 1 1545218120.974 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.975 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218120.975 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218120.975 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.975 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218120.975 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218120.976 * [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))) 1545218120.976 * [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)))) 1545218120.977 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545218120.977 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545218120.977 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218120.977 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218120.977 * [misc]taylor: Taking taylor expansion of -1 in k 1545218120.977 * [misc]backup-simplify: Simplify -1 into -1 1545218120.977 * [misc]taylor: Taking taylor expansion of k in k 1545218120.977 * [misc]backup-simplify: Simplify 0 into 0 1545218120.977 * [misc]backup-simplify: Simplify 1 into 1 1545218120.977 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218120.977 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218120.977 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218120.977 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218120.977 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545218120.977 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545218120.977 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218120.977 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218120.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.977 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.977 * [misc]taylor: Taking taylor expansion of k in k 1545218120.977 * [misc]backup-simplify: Simplify 0 into 0 1545218120.977 * [misc]backup-simplify: Simplify 1 into 1 1545218120.977 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.978 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545218120.978 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545218120.978 * [misc]taylor: Taking taylor expansion of -2 in k 1545218120.978 * [misc]backup-simplify: Simplify -2 into -2 1545218120.978 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218120.978 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.978 * [misc]backup-simplify: Simplify PI into PI 1545218120.978 * [misc]taylor: Taking taylor expansion of n in k 1545218120.978 * [misc]backup-simplify: Simplify n into n 1545218120.978 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218120.978 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545218120.978 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545218120.978 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218120.978 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218120.978 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545218120.978 * [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))) 1545218120.978 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545218120.978 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545218120.978 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218120.978 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218120.978 * [misc]taylor: Taking taylor expansion of -1 in k 1545218120.978 * [misc]backup-simplify: Simplify -1 into -1 1545218120.978 * [misc]taylor: Taking taylor expansion of k in k 1545218120.978 * [misc]backup-simplify: Simplify 0 into 0 1545218120.979 * [misc]backup-simplify: Simplify 1 into 1 1545218120.979 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218120.979 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218120.979 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218120.979 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218120.979 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545218120.979 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545218120.979 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218120.979 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218120.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.979 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218120.979 * [misc]taylor: Taking taylor expansion of k in k 1545218120.979 * [misc]backup-simplify: Simplify 0 into 0 1545218120.979 * [misc]backup-simplify: Simplify 1 into 1 1545218120.979 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218120.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218120.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.979 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545218120.980 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545218120.980 * [misc]taylor: Taking taylor expansion of -2 in k 1545218120.980 * [misc]backup-simplify: Simplify -2 into -2 1545218120.980 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218120.980 * [misc]taylor: Taking taylor expansion of PI in k 1545218120.980 * [misc]backup-simplify: Simplify PI into PI 1545218120.980 * [misc]taylor: Taking taylor expansion of n in k 1545218120.980 * [misc]backup-simplify: Simplify n into n 1545218120.980 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218120.980 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545218120.980 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545218120.980 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218120.980 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218120.980 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545218120.981 * [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))) 1545218120.981 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545218120.981 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218120.981 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218120.981 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218120.981 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218120.981 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218120.981 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218120.981 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218120.981 * [misc]taylor: Taking taylor expansion of -2 in n 1545218120.981 * [misc]backup-simplify: Simplify -2 into -2 1545218120.981 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.981 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.981 * [misc]backup-simplify: Simplify PI into PI 1545218120.981 * [misc]taylor: Taking taylor expansion of n in n 1545218120.981 * [misc]backup-simplify: Simplify 0 into 0 1545218120.981 * [misc]backup-simplify: Simplify 1 into 1 1545218120.982 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.982 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218120.982 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218120.982 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218120.982 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.982 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.982 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.982 * [misc]taylor: Taking taylor expansion of k in n 1545218120.982 * [misc]backup-simplify: Simplify k into k 1545218120.983 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.983 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218120.983 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.983 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218120.984 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545218120.985 * [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)))) 1545218120.985 * [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))))) 1545218120.987 * [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))))) 1545218120.987 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545218120.988 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218120.989 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545218120.989 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545218120.989 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545218120.989 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218120.989 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218120.989 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218120.989 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218120.989 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218120.989 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218120.989 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218120.989 * [misc]taylor: Taking taylor expansion of -2 in n 1545218120.989 * [misc]backup-simplify: Simplify -2 into -2 1545218120.989 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218120.989 * [misc]taylor: Taking taylor expansion of PI in n 1545218120.990 * [misc]backup-simplify: Simplify PI into PI 1545218120.990 * [misc]taylor: Taking taylor expansion of n in n 1545218120.990 * [misc]backup-simplify: Simplify 0 into 0 1545218120.990 * [misc]backup-simplify: Simplify 1 into 1 1545218120.990 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218120.990 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218120.991 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218120.991 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218120.991 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218120.991 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.991 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218120.991 * [misc]taylor: Taking taylor expansion of k in n 1545218120.991 * [misc]backup-simplify: Simplify k into k 1545218120.991 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218120.991 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218120.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218120.992 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218120.992 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218120.992 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218120.992 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545218120.993 * [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)))) 1545218120.994 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545218120.994 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545218120.995 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545218120.996 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545218120.996 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218120.996 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218120.997 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218120.997 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218120.998 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218120.998 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545218121.001 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545218121.002 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545218121.003 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218121.004 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1545218121.004 * [misc]backup-simplify: Simplify 0 into 0 1545218121.005 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218121.005 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218121.006 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545218121.006 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545218121.006 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545218121.006 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.006 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.006 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218121.006 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218121.006 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218121.006 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218121.006 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218121.006 * [misc]taylor: Taking taylor expansion of -2 in n 1545218121.006 * [misc]backup-simplify: Simplify -2 into -2 1545218121.006 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218121.006 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.006 * [misc]backup-simplify: Simplify PI into PI 1545218121.006 * [misc]taylor: Taking taylor expansion of n in n 1545218121.006 * [misc]backup-simplify: Simplify 0 into 0 1545218121.006 * [misc]backup-simplify: Simplify 1 into 1 1545218121.006 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218121.007 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218121.007 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218121.007 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218121.007 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218121.007 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.007 * [misc]taylor: Taking taylor expansion of k in n 1545218121.007 * [misc]backup-simplify: Simplify k into k 1545218121.007 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.007 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.008 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218121.008 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218121.008 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218121.008 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545218121.008 * [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)))) 1545218121.009 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545218121.009 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545218121.010 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545218121.010 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545218121.012 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1545218121.012 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545218121.012 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1545218121.012 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1545218121.012 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of k in n 1545218121.012 * [misc]backup-simplify: Simplify k into k 1545218121.012 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.012 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545218121.012 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218121.012 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545218121.012 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.012 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.012 * [misc]taylor: Taking taylor expansion of k in n 1545218121.012 * [misc]backup-simplify: Simplify k into k 1545218121.012 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.012 * [misc]backup-simplify: Simplify 2 into 2 1545218121.012 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.012 * [misc]taylor: Taking taylor expansion of n in n 1545218121.012 * [misc]backup-simplify: Simplify 0 into 0 1545218121.013 * [misc]backup-simplify: Simplify 1 into 1 1545218121.013 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.013 * [misc]backup-simplify: Simplify PI into PI 1545218121.013 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.013 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218121.013 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.014 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218121.014 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218121.014 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218121.014 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218121.014 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218121.015 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218121.015 * [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)))) 1545218121.015 * [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))))) 1545218121.015 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545218121.015 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218121.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218121.015 * [misc]taylor: Taking taylor expansion of k in k 1545218121.015 * [misc]backup-simplify: Simplify 0 into 0 1545218121.015 * [misc]backup-simplify: Simplify 1 into 1 1545218121.015 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218121.016 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.016 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218121.016 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545218121.016 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545218121.016 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545218121.016 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218121.016 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.016 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218121.016 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.016 * [misc]taylor: Taking taylor expansion of k in k 1545218121.016 * [misc]backup-simplify: Simplify 0 into 0 1545218121.016 * [misc]backup-simplify: Simplify 1 into 1 1545218121.016 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545218121.016 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545218121.016 * [misc]taylor: Taking taylor expansion of 2 in k 1545218121.016 * [misc]backup-simplify: Simplify 2 into 2 1545218121.016 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545218121.016 * [misc]taylor: Taking taylor expansion of n in k 1545218121.016 * [misc]backup-simplify: Simplify n into n 1545218121.016 * [misc]taylor: Taking taylor expansion of PI in k 1545218121.016 * [misc]backup-simplify: Simplify PI into PI 1545218121.016 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545218121.016 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545218121.016 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545218121.016 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218121.017 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.017 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218121.017 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545218121.017 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545218121.017 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545218121.017 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218121.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218121.017 * [misc]taylor: Taking taylor expansion of k in k 1545218121.017 * [misc]backup-simplify: Simplify 0 into 0 1545218121.017 * [misc]backup-simplify: Simplify 1 into 1 1545218121.017 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218121.017 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.017 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218121.017 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545218121.017 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545218121.017 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545218121.017 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218121.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.018 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218121.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.018 * [misc]taylor: Taking taylor expansion of k in k 1545218121.018 * [misc]backup-simplify: Simplify 0 into 0 1545218121.018 * [misc]backup-simplify: Simplify 1 into 1 1545218121.018 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545218121.018 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545218121.018 * [misc]taylor: Taking taylor expansion of 2 in k 1545218121.018 * [misc]backup-simplify: Simplify 2 into 2 1545218121.018 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545218121.018 * [misc]taylor: Taking taylor expansion of n in k 1545218121.018 * [misc]backup-simplify: Simplify n into n 1545218121.018 * [misc]taylor: Taking taylor expansion of PI in k 1545218121.018 * [misc]backup-simplify: Simplify PI into PI 1545218121.018 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545218121.018 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545218121.018 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545218121.018 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218121.018 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.018 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218121.018 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545218121.018 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545218121.018 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1545218121.018 * [misc]taylor: Taking taylor expansion of 0 in n 1545218121.019 * [misc]backup-simplify: Simplify 0 into 0 1545218121.019 * [misc]backup-simplify: Simplify 0 into 0 1545218121.019 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545218121.019 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545218121.019 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545218121.020 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218121.020 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218121.020 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218121.020 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545218121.020 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1545218121.020 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545218121.020 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545218121.020 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545218121.020 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.020 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.020 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545218121.020 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218121.020 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.020 * [misc]backup-simplify: Simplify 2 into 2 1545218121.021 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218121.021 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218121.021 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218121.021 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.021 * [misc]taylor: Taking taylor expansion of n in n 1545218121.021 * [misc]backup-simplify: Simplify 0 into 0 1545218121.021 * [misc]backup-simplify: Simplify 1 into 1 1545218121.021 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.021 * [misc]backup-simplify: Simplify PI into PI 1545218121.021 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.021 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.021 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.022 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218121.022 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545218121.022 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218121.022 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.022 * [misc]backup-simplify: Simplify 0 into 0 1545218121.022 * [misc]backup-simplify: Simplify 0 into 0 1545218121.023 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545218121.023 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545218121.024 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1545218121.024 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218121.024 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.024 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218121.024 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545218121.025 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1545218121.025 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545218121.026 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218121.026 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1545218121.026 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545218121.026 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545218121.026 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545218121.026 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.026 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.026 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545218121.026 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545218121.026 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218121.027 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.027 * [misc]backup-simplify: Simplify 2 into 2 1545218121.027 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218121.027 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218121.027 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218121.027 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218121.027 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.027 * [misc]backup-simplify: Simplify 2 into 2 1545218121.027 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.027 * [misc]taylor: Taking taylor expansion of n in n 1545218121.027 * [misc]backup-simplify: Simplify 0 into 0 1545218121.027 * [misc]backup-simplify: Simplify 1 into 1 1545218121.027 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.027 * [misc]backup-simplify: Simplify PI into PI 1545218121.027 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.027 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218121.028 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.028 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218121.028 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218121.028 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218121.028 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.028 * [misc]taylor: Taking taylor expansion of n in n 1545218121.028 * [misc]backup-simplify: Simplify 0 into 0 1545218121.028 * [misc]backup-simplify: Simplify 1 into 1 1545218121.029 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.029 * [misc]backup-simplify: Simplify PI into PI 1545218121.029 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.029 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.029 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.029 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218121.029 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545218121.029 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545218121.030 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.030 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.030 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545218121.030 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218121.030 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.030 * [misc]backup-simplify: Simplify 2 into 2 1545218121.030 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218121.030 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218121.030 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218121.030 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.030 * [misc]taylor: Taking taylor expansion of n in n 1545218121.030 * [misc]backup-simplify: Simplify 0 into 0 1545218121.030 * [misc]backup-simplify: Simplify 1 into 1 1545218121.030 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.030 * [misc]backup-simplify: Simplify PI into PI 1545218121.030 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.031 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.031 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218121.031 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218121.032 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545218121.032 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545218121.032 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218121.032 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545218121.032 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218121.033 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.033 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218121.033 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.033 * [misc]backup-simplify: Simplify 0 into 0 1545218121.033 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218121.034 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218121.035 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218121.036 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218121.036 * [misc]backup-simplify: Simplify 0 into 0 1545218121.038 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545218121.038 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1545218121.041 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1545218121.042 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545218121.042 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.042 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218121.042 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1545218121.044 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1545218121.044 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218121.046 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218121.047 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1545218121.047 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1545218121.047 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1545218121.047 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545218121.047 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.047 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.047 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545218121.047 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545218121.047 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218121.047 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.047 * [misc]backup-simplify: Simplify 2 into 2 1545218121.048 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218121.048 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218121.048 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218121.048 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218121.048 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.048 * [misc]backup-simplify: Simplify 2 into 2 1545218121.048 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.048 * [misc]taylor: Taking taylor expansion of n in n 1545218121.048 * [misc]backup-simplify: Simplify 0 into 0 1545218121.048 * [misc]backup-simplify: Simplify 1 into 1 1545218121.048 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.048 * [misc]backup-simplify: Simplify PI into PI 1545218121.048 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.048 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218121.049 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.050 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218121.050 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218121.050 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218121.050 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.050 * [misc]taylor: Taking taylor expansion of n in n 1545218121.050 * [misc]backup-simplify: Simplify 0 into 0 1545218121.050 * [misc]backup-simplify: Simplify 1 into 1 1545218121.050 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.050 * [misc]backup-simplify: Simplify PI into PI 1545218121.051 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.051 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.051 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.052 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218121.052 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545218121.052 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545218121.052 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1545218121.052 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.052 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.052 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1545218121.052 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1545218121.052 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218121.052 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.052 * [misc]backup-simplify: Simplify 2 into 2 1545218121.052 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218121.053 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218121.053 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1545218121.053 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545218121.053 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545218121.053 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.053 * [misc]backup-simplify: Simplify 2 into 2 1545218121.053 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.053 * [misc]taylor: Taking taylor expansion of n in n 1545218121.053 * [misc]backup-simplify: Simplify 0 into 0 1545218121.053 * [misc]backup-simplify: Simplify 1 into 1 1545218121.053 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.053 * [misc]backup-simplify: Simplify PI into PI 1545218121.053 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.053 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218121.054 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.055 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545218121.055 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218121.056 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218121.056 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218121.056 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.056 * [misc]taylor: Taking taylor expansion of n in n 1545218121.056 * [misc]backup-simplify: Simplify 0 into 0 1545218121.056 * [misc]backup-simplify: Simplify 1 into 1 1545218121.056 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.056 * [misc]backup-simplify: Simplify PI into PI 1545218121.056 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.057 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.057 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.057 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218121.057 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545218121.057 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545218121.058 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.058 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.058 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545218121.058 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218121.058 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.058 * [misc]backup-simplify: Simplify 2 into 2 1545218121.058 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218121.058 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218121.058 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218121.058 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218121.058 * [misc]taylor: Taking taylor expansion of n in n 1545218121.058 * [misc]backup-simplify: Simplify 0 into 0 1545218121.058 * [misc]backup-simplify: Simplify 1 into 1 1545218121.058 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.058 * [misc]backup-simplify: Simplify PI into PI 1545218121.059 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218121.059 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218121.059 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.060 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218121.061 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218121.061 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545218121.062 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545218121.062 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218121.063 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218121.063 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218121.064 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1545218121.065 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1545218121.066 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1545218121.066 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218121.066 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545218121.066 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218121.066 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218121.067 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218121.067 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.067 * [misc]backup-simplify: Simplify 0 into 0 1545218121.068 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218121.069 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545218121.072 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218121.073 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545218121.073 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545218121.075 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545218121.077 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545218121.079 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218121.080 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218121.081 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218121.083 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1545218121.085 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545218121.086 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545218121.087 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218121.088 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545218121.089 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545218121.090 * [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)))) 1545218121.092 * [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)))) 1545218121.094 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545218121.095 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545218121.098 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545218121.099 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545218121.099 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545218121.099 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of k in n 1545218121.099 * [misc]backup-simplify: Simplify k into k 1545218121.099 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545218121.099 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545218121.099 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.099 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of k in n 1545218121.099 * [misc]backup-simplify: Simplify k into k 1545218121.099 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.099 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.099 * [misc]backup-simplify: Simplify 2 into 2 1545218121.099 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218121.099 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.099 * [misc]backup-simplify: Simplify PI into PI 1545218121.099 * [misc]taylor: Taking taylor expansion of n in n 1545218121.099 * [misc]backup-simplify: Simplify 0 into 0 1545218121.099 * [misc]backup-simplify: Simplify 1 into 1 1545218121.100 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218121.100 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218121.100 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218121.100 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218121.100 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218121.100 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218121.101 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218121.101 * [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))) 1545218121.101 * [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)))) 1545218121.101 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545218121.101 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218121.101 * [misc]taylor: Taking taylor expansion of k in k 1545218121.101 * [misc]backup-simplify: Simplify 0 into 0 1545218121.101 * [misc]backup-simplify: Simplify 1 into 1 1545218121.102 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.102 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218121.102 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218121.102 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545218121.102 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545218121.102 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218121.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218121.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218121.102 * [misc]taylor: Taking taylor expansion of k in k 1545218121.102 * [misc]backup-simplify: Simplify 0 into 0 1545218121.102 * [misc]backup-simplify: Simplify 1 into 1 1545218121.102 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218121.102 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545218121.102 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545218121.102 * [misc]taylor: Taking taylor expansion of 2 in k 1545218121.102 * [misc]backup-simplify: Simplify 2 into 2 1545218121.102 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218121.102 * [misc]taylor: Taking taylor expansion of PI in k 1545218121.102 * [misc]backup-simplify: Simplify PI into PI 1545218121.102 * [misc]taylor: Taking taylor expansion of n in k 1545218121.102 * [misc]backup-simplify: Simplify n into n 1545218121.102 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218121.102 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545218121.102 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545218121.103 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218121.103 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218121.103 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218121.103 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545218121.103 * [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)))) 1545218121.103 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545218121.103 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218121.103 * [misc]taylor: Taking taylor expansion of k in k 1545218121.103 * [misc]backup-simplify: Simplify 0 into 0 1545218121.103 * [misc]backup-simplify: Simplify 1 into 1 1545218121.103 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.103 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218121.103 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218121.104 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545218121.104 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545218121.104 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218121.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.104 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218121.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.104 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218121.104 * [misc]taylor: Taking taylor expansion of k in k 1545218121.104 * [misc]backup-simplify: Simplify 0 into 0 1545218121.104 * [misc]backup-simplify: Simplify 1 into 1 1545218121.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218121.104 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545218121.104 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545218121.104 * [misc]taylor: Taking taylor expansion of 2 in k 1545218121.104 * [misc]backup-simplify: Simplify 2 into 2 1545218121.104 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218121.104 * [misc]taylor: Taking taylor expansion of PI in k 1545218121.104 * [misc]backup-simplify: Simplify PI into PI 1545218121.104 * [misc]taylor: Taking taylor expansion of n in k 1545218121.104 * [misc]backup-simplify: Simplify n into n 1545218121.104 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218121.104 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545218121.104 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545218121.104 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218121.104 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218121.104 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218121.105 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545218121.105 * [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)))) 1545218121.105 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545218121.105 * [misc]taylor: Taking taylor expansion of 0 in n 1545218121.105 * [misc]backup-simplify: Simplify 0 into 0 1545218121.105 * [misc]backup-simplify: Simplify 0 into 0 1545218121.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545218121.105 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218121.105 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218121.105 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.105 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.105 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218121.105 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218121.105 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218121.105 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218121.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.105 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218121.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.105 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.105 * [misc]taylor: Taking taylor expansion of k in n 1545218121.105 * [misc]backup-simplify: Simplify k into k 1545218121.105 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.105 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218121.105 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218121.106 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.106 * [misc]backup-simplify: Simplify 2 into 2 1545218121.106 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218121.106 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.106 * [misc]backup-simplify: Simplify PI into PI 1545218121.106 * [misc]taylor: Taking taylor expansion of n in n 1545218121.106 * [misc]backup-simplify: Simplify 0 into 0 1545218121.106 * [misc]backup-simplify: Simplify 1 into 1 1545218121.106 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218121.106 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218121.106 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218121.106 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218121.106 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218121.107 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218121.107 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218121.107 * [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))) 1545218121.108 * [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)))) 1545218121.108 * [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))))) 1545218121.109 * [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)))))) 1545218121.109 * [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)))))) 1545218121.109 * [misc]backup-simplify: Simplify 0 into 0 1545218121.111 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218121.111 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545218121.111 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.111 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.111 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.111 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.111 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of k in n 1545218121.111 * [misc]backup-simplify: Simplify k into k 1545218121.111 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.111 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.111 * [misc]backup-simplify: Simplify 2 into 2 1545218121.111 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218121.111 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.111 * [misc]backup-simplify: Simplify PI into PI 1545218121.111 * [misc]taylor: Taking taylor expansion of n in n 1545218121.111 * [misc]backup-simplify: Simplify 0 into 0 1545218121.111 * [misc]backup-simplify: Simplify 1 into 1 1545218121.112 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218121.112 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218121.112 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218121.112 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218121.112 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218121.112 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218121.113 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218121.113 * [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))) 1545218121.113 * [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)))) 1545218121.114 * [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))))) 1545218121.114 * [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)))))) 1545218121.115 * [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)))))) 1545218121.115 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218121.116 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545218121.117 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545218121.117 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218121.118 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218121.118 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218121.118 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218121.119 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545218121.120 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218121.120 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545218121.120 * [misc]backup-simplify: Simplify (- 0) into 0 1545218121.120 * [misc]backup-simplify: Simplify 0 into 0 1545218121.120 * [misc]backup-simplify: Simplify 0 into 0 1545218121.121 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218121.121 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545218121.121 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218121.121 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218121.121 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.121 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.121 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218121.121 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545218121.121 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545218121.121 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218121.121 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.121 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218121.122 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.122 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.122 * [misc]taylor: Taking taylor expansion of k in n 1545218121.122 * [misc]backup-simplify: Simplify k into k 1545218121.122 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.122 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545218121.122 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545218121.122 * [misc]taylor: Taking taylor expansion of 2 in n 1545218121.122 * [misc]backup-simplify: Simplify 2 into 2 1545218121.122 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218121.122 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.122 * [misc]backup-simplify: Simplify PI into PI 1545218121.122 * [misc]taylor: Taking taylor expansion of n in n 1545218121.122 * [misc]backup-simplify: Simplify 0 into 0 1545218121.122 * [misc]backup-simplify: Simplify 1 into 1 1545218121.122 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218121.122 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545218121.122 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545218121.122 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218121.122 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218121.123 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218121.123 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545218121.123 * [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))) 1545218121.124 * [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)))) 1545218121.124 * [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))))) 1545218121.125 * [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)))))) 1545218121.125 * [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)))))) 1545218121.126 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1545218121.127 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545218121.127 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1545218121.127 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.127 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of k in n 1545218121.127 * [misc]backup-simplify: Simplify k into k 1545218121.127 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.127 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of -2 in n 1545218121.127 * [misc]backup-simplify: Simplify -2 into -2 1545218121.127 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218121.127 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.127 * [misc]backup-simplify: Simplify PI into PI 1545218121.127 * [misc]taylor: Taking taylor expansion of n in n 1545218121.127 * [misc]backup-simplify: Simplify 0 into 0 1545218121.127 * [misc]backup-simplify: Simplify 1 into 1 1545218121.128 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218121.128 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218121.128 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218121.128 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218121.128 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218121.128 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218121.129 * [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))) 1545218121.129 * [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)))) 1545218121.129 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545218121.129 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545218121.129 * [misc]taylor: Taking taylor expansion of -1 in n 1545218121.129 * [misc]backup-simplify: Simplify -1 into -1 1545218121.129 * [misc]taylor: Taking taylor expansion of k in n 1545218121.129 * [misc]backup-simplify: Simplify k into k 1545218121.129 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545218121.129 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545218121.130 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545218121.130 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545218121.130 * [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))) 1545218121.130 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.130 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of k in k 1545218121.130 * [misc]backup-simplify: Simplify 0 into 0 1545218121.130 * [misc]backup-simplify: Simplify 1 into 1 1545218121.130 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218121.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.130 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of -2 in k 1545218121.130 * [misc]backup-simplify: Simplify -2 into -2 1545218121.130 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218121.130 * [misc]taylor: Taking taylor expansion of PI in k 1545218121.130 * [misc]backup-simplify: Simplify PI into PI 1545218121.131 * [misc]taylor: Taking taylor expansion of n in k 1545218121.131 * [misc]backup-simplify: Simplify n into n 1545218121.131 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218121.131 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545218121.131 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545218121.131 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218121.131 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218121.131 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545218121.131 * [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))) 1545218121.131 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218121.131 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218121.131 * [misc]taylor: Taking taylor expansion of -1 in k 1545218121.131 * [misc]backup-simplify: Simplify -1 into -1 1545218121.131 * [misc]taylor: Taking taylor expansion of k in k 1545218121.131 * [misc]backup-simplify: Simplify 0 into 0 1545218121.131 * [misc]backup-simplify: Simplify 1 into 1 1545218121.131 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218121.131 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.132 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218121.132 * [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)))) 1545218121.132 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.132 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of k in k 1545218121.132 * [misc]backup-simplify: Simplify 0 into 0 1545218121.132 * [misc]backup-simplify: Simplify 1 into 1 1545218121.132 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218121.132 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218121.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.132 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of -2 in k 1545218121.132 * [misc]backup-simplify: Simplify -2 into -2 1545218121.132 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545218121.132 * [misc]taylor: Taking taylor expansion of PI in k 1545218121.132 * [misc]backup-simplify: Simplify PI into PI 1545218121.132 * [misc]taylor: Taking taylor expansion of n in k 1545218121.132 * [misc]backup-simplify: Simplify n into n 1545218121.132 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545218121.132 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545218121.132 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545218121.133 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218121.133 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218121.133 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545218121.133 * [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))) 1545218121.133 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218121.133 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218121.133 * [misc]taylor: Taking taylor expansion of -1 in k 1545218121.133 * [misc]backup-simplify: Simplify -1 into -1 1545218121.133 * [misc]taylor: Taking taylor expansion of k in k 1545218121.133 * [misc]backup-simplify: Simplify 0 into 0 1545218121.133 * [misc]backup-simplify: Simplify 1 into 1 1545218121.133 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218121.133 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218121.133 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218121.134 * [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)))) 1545218121.134 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218121.134 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.134 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.134 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218121.134 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218121.134 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218121.134 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218121.134 * [misc]taylor: Taking taylor expansion of -2 in n 1545218121.134 * [misc]backup-simplify: Simplify -2 into -2 1545218121.134 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218121.134 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.134 * [misc]backup-simplify: Simplify PI into PI 1545218121.134 * [misc]taylor: Taking taylor expansion of n in n 1545218121.134 * [misc]backup-simplify: Simplify 0 into 0 1545218121.134 * [misc]backup-simplify: Simplify 1 into 1 1545218121.134 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218121.134 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218121.135 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218121.135 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218121.135 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218121.135 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.135 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.135 * [misc]taylor: Taking taylor expansion of k in n 1545218121.135 * [misc]backup-simplify: Simplify k into k 1545218121.135 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.135 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.135 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218121.135 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218121.135 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218121.136 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545218121.136 * [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)))) 1545218121.136 * [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))))) 1545218121.137 * [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))))) 1545218121.137 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545218121.138 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218121.138 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545218121.138 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545218121.138 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218121.138 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.138 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.138 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218121.138 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218121.138 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218121.138 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218121.138 * [misc]taylor: Taking taylor expansion of -2 in n 1545218121.138 * [misc]backup-simplify: Simplify -2 into -2 1545218121.138 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218121.138 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.138 * [misc]backup-simplify: Simplify PI into PI 1545218121.138 * [misc]taylor: Taking taylor expansion of n in n 1545218121.138 * [misc]backup-simplify: Simplify 0 into 0 1545218121.138 * [misc]backup-simplify: Simplify 1 into 1 1545218121.139 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218121.139 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218121.139 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218121.139 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218121.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218121.139 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.139 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.139 * [misc]taylor: Taking taylor expansion of k in n 1545218121.139 * [misc]backup-simplify: Simplify k into k 1545218121.139 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.139 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.140 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218121.140 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218121.140 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218121.140 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545218121.140 * [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)))) 1545218121.141 * [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))))) 1545218121.141 * [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)))))) 1545218121.142 * [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)))))) 1545218121.142 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218121.142 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218121.143 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218121.143 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218121.143 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545218121.144 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545218121.145 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545218121.146 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545218121.147 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218121.147 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1545218121.147 * [misc]backup-simplify: Simplify 0 into 0 1545218121.148 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218121.148 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218121.149 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545218121.149 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545218121.149 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218121.149 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218121.149 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218121.149 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218121.149 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218121.149 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545218121.149 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545218121.149 * [misc]taylor: Taking taylor expansion of -2 in n 1545218121.149 * [misc]backup-simplify: Simplify -2 into -2 1545218121.149 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545218121.149 * [misc]taylor: Taking taylor expansion of PI in n 1545218121.149 * [misc]backup-simplify: Simplify PI into PI 1545218121.149 * [misc]taylor: Taking taylor expansion of n in n 1545218121.149 * [misc]backup-simplify: Simplify 0 into 0 1545218121.149 * [misc]backup-simplify: Simplify 1 into 1 1545218121.149 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545218121.150 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545218121.150 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545218121.150 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218121.150 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218121.150 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.150 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218121.150 * [misc]taylor: Taking taylor expansion of k in n 1545218121.150 * [misc]backup-simplify: Simplify k into k 1545218121.150 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218121.150 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218121.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218121.150 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545218121.150 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218121.151 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218121.151 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545218121.151 * [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)))) 1545218121.152 * [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))))) 1545218121.152 * [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)))))) 1545218121.152 * [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)))))) 1545218121.154 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1545218121.154 * * * [misc]progress: simplifying candidates 1545218121.154 * * * * [misc]progress: [ 1 / 128 ] simplifiying candidate # 1545218121.154 * * * * [misc]progress: [ 2 / 128 ] simplifiying candidate # 1545218121.154 * * * * [misc]progress: [ 3 / 128 ] simplifiying candidate # 1545218121.154 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545218121.154 * * [misc]simplify: iters left: 6 (11 enodes) 1545218121.156 * * [misc]simplify: iters left: 5 (21 enodes) 1545218121.160 * * [misc]simplify: iters left: 4 (47 enodes) 1545218121.177 * * [misc]simplify: iters left: 3 (113 enodes) 1545218121.223 * * [misc]simplify: iters left: 2 (328 enodes) 1545218121.558 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545218121.558 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1545218121.558 * * * * [misc]progress: [ 4 / 128 ] simplifiying candidate # 1545218121.558 * * * * [misc]progress: [ 5 / 128 ] simplifiying candidate # 1545218121.558 * [enter]simplify: Simplifying (* PI (* n 2)) 1545218121.558 * * [misc]simplify: iters left: 4 (5 enodes) 1545218121.560 * * [misc]simplify: iters left: 3 (9 enodes) 1545218121.563 * * [misc]simplify: iters left: 2 (15 enodes) 1545218121.567 * * [misc]simplify: iters left: 1 (17 enodes) 1545218121.571 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545218121.571 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1545218121.571 * * * * [misc]progress: [ 6 / 128 ] simplifiying candidate # 1545218121.571 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545218121.571 * * [misc]simplify: iters left: 5 (8 enodes) 1545218121.574 * * [misc]simplify: iters left: 4 (12 enodes) 1545218121.578 * * [misc]simplify: iters left: 3 (18 enodes) 1545218121.583 * * [misc]simplify: iters left: 2 (20 enodes) 1545218121.588 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545218121.588 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1545218121.588 * * * * [misc]progress: [ 7 / 128 ] simplifiying candidate # 1545218121.588 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545218121.588 * * [misc]simplify: iters left: 5 (6 enodes) 1545218121.590 * * [misc]simplify: iters left: 4 (8 enodes) 1545218121.592 * * [misc]simplify: iters left: 3 (11 enodes) 1545218121.595 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545218121.595 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1545218121.596 * * * * [misc]progress: [ 8 / 128 ] simplifiying candidate # 1545218121.596 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545218121.596 * * [misc]simplify: iters left: 5 (6 enodes) 1545218121.598 * * [misc]simplify: iters left: 4 (8 enodes) 1545218121.600 * * [misc]simplify: iters left: 3 (11 enodes) 1545218121.604 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545218121.604 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1545218121.604 * * * * [misc]progress: [ 9 / 128 ] simplifiying candidate # 1545218121.604 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545218121.604 * * [misc]simplify: iters left: 4 (5 enodes) 1545218121.606 * * [misc]simplify: iters left: 3 (7 enodes) 1545218121.608 * * [misc]simplify: iters left: 2 (10 enodes) 1545218121.610 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545218121.610 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1545218121.610 * * * * [misc]progress: [ 10 / 128 ] simplifiying candidate # 1545218121.611 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545218121.611 * * [misc]simplify: iters left: 5 (9 enodes) 1545218121.614 * * [misc]simplify: iters left: 4 (15 enodes) 1545218121.618 * * [misc]simplify: iters left: 3 (21 enodes) 1545218121.623 * * [misc]simplify: iters left: 2 (22 enodes) 1545218121.629 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545218121.629 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545218121.629 * * * * [misc]progress: [ 11 / 128 ] simplifiying candidate # 1545218121.629 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545218121.629 * * [misc]simplify: iters left: 5 (9 enodes) 1545218121.632 * * [misc]simplify: iters left: 4 (15 enodes) 1545218121.636 * * [misc]simplify: iters left: 3 (21 enodes) 1545218121.642 * * [misc]simplify: iters left: 2 (22 enodes) 1545218121.647 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545218121.647 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545218121.647 * * * * [misc]progress: [ 12 / 128 ] simplifiying candidate # 1545218121.648 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545218121.648 * * [misc]simplify: iters left: 5 (7 enodes) 1545218121.650 * * [misc]simplify: iters left: 4 (9 enodes) 1545218121.652 * * [misc]simplify: iters left: 3 (12 enodes) 1545218121.656 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545218121.656 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218121.656 * * * * [misc]progress: [ 13 / 128 ] simplifiying candidate # 1545218121.656 * * * * [misc]progress: [ 14 / 128 ] simplifiying candidate # 1545218121.656 * * * * [misc]progress: [ 15 / 128 ] simplifiying candidate # 1545218121.656 * * * * [misc]progress: [ 16 / 128 ] simplifiying candidate # 1545218121.656 * * * * [misc]progress: [ 17 / 128 ] simplifiying candidate # 1545218121.656 * * * * [misc]progress: [ 18 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 19 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 20 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 21 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 22 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 23 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 24 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 25 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 26 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 27 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 28 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 29 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 30 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 31 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 32 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 33 / 128 ] simplifiying candidate # 1545218121.657 * * * * [misc]progress: [ 34 / 128 ] simplifiying candidate # 1545218121.658 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545218121.658 * * [misc]simplify: iters left: 6 (14 enodes) 1545218121.662 * * [misc]simplify: iters left: 5 (26 enodes) 1545218121.671 * * [misc]simplify: iters left: 4 (59 enodes) 1545218121.696 * * [misc]simplify: iters left: 3 (172 enodes) 1545218121.795 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1545218121.795 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1545218121.795 * * * * [misc]progress: [ 35 / 128 ] simplifiying candidate # 1545218121.795 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545218121.795 * * [misc]simplify: iters left: 6 (14 enodes) 1545218121.800 * * [misc]simplify: iters left: 5 (26 enodes) 1545218121.808 * * [misc]simplify: iters left: 4 (59 enodes) 1545218121.835 * * [misc]simplify: iters left: 3 (172 enodes) 1545218121.919 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1545218121.919 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1545218121.919 * * * * [misc]progress: [ 36 / 128 ] simplifiying candidate # 1545218121.919 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218121.919 * * [misc]simplify: iters left: 6 (14 enodes) 1545218121.921 * * [misc]simplify: iters left: 5 (24 enodes) 1545218121.925 * * [misc]simplify: iters left: 4 (46 enodes) 1545218121.935 * * [misc]simplify: iters left: 3 (105 enodes) 1545218121.982 * * [misc]simplify: iters left: 2 (354 enodes) 1545218122.279 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k))) 1545218122.279 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k)))))) 1545218122.279 * * * * [misc]progress: [ 37 / 128 ] simplifiying candidate # 1545218122.279 * * * * [misc]progress: [ 38 / 128 ] simplifiying candidate # 1545218122.279 * * * * [misc]progress: [ 39 / 128 ] simplifiying candidate # 1545218122.279 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218122.279 * * [misc]simplify: iters left: 6 (16 enodes) 1545218122.285 * * [misc]simplify: iters left: 5 (31 enodes) 1545218122.296 * * [misc]simplify: iters left: 4 (70 enodes) 1545218122.320 * * [misc]simplify: iters left: 3 (130 enodes) 1545218122.344 * * [misc]simplify: iters left: 2 (206 enodes) 1545218122.389 * * [misc]simplify: iters left: 1 (288 enodes) 1545218122.517 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1545218122.517 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1545218122.517 * * * * [misc]progress: [ 40 / 128 ] simplifiying candidate # 1545218122.517 * * * * [misc]progress: [ 41 / 128 ] simplifiying candidate # 1545218122.517 * * * * [misc]progress: [ 42 / 128 ] simplifiying candidate # 1545218122.517 * * * * [misc]progress: [ 43 / 128 ] simplifiying candidate # 1545218122.518 * * * * [misc]progress: [ 44 / 128 ] simplifiying candidate # 1545218122.518 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545218122.518 * * [misc]simplify: iters left: 6 (12 enodes) 1545218122.522 * * [misc]simplify: iters left: 5 (19 enodes) 1545218122.527 * * [misc]simplify: iters left: 4 (27 enodes) 1545218122.534 * * [misc]simplify: iters left: 3 (29 enodes) 1545218122.541 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545218122.541 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545218122.542 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218122.542 * * [misc]simplify: iters left: 6 (12 enodes) 1545218122.545 * * [misc]simplify: iters left: 5 (18 enodes) 1545218122.551 * * [misc]simplify: iters left: 4 (24 enodes) 1545218122.557 * * [misc]simplify: iters left: 3 (25 enodes) 1545218122.564 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545218122.564 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545218122.564 * * * * [misc]progress: [ 45 / 128 ] simplifiying candidate # 1545218122.564 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545218122.564 * * [misc]simplify: iters left: 6 (12 enodes) 1545218122.568 * * [misc]simplify: iters left: 5 (19 enodes) 1545218122.574 * * [misc]simplify: iters left: 4 (27 enodes) 1545218122.581 * * [misc]simplify: iters left: 3 (29 enodes) 1545218122.589 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545218122.589 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545218122.589 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218122.589 * * [misc]simplify: iters left: 6 (12 enodes) 1545218122.593 * * [misc]simplify: iters left: 5 (18 enodes) 1545218122.598 * * [misc]simplify: iters left: 4 (24 enodes) 1545218122.604 * * [misc]simplify: iters left: 3 (25 enodes) 1545218122.607 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545218122.607 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545218122.607 * * * * [misc]progress: [ 46 / 128 ] simplifiying candidate # 1545218122.608 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545218122.608 * * [misc]simplify: iters left: 6 (11 enodes) 1545218122.609 * * [misc]simplify: iters left: 5 (15 enodes) 1545218122.611 * * [misc]simplify: iters left: 4 (20 enodes) 1545218122.614 * * [misc]simplify: iters left: 3 (21 enodes) 1545218122.618 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545218122.618 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218122.618 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218122.618 * * [misc]simplify: iters left: 6 (11 enodes) 1545218122.620 * * [misc]simplify: iters left: 5 (14 enodes) 1545218122.622 * * [misc]simplify: iters left: 4 (17 enodes) 1545218122.624 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218122.624 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218122.624 * * * * [misc]progress: [ 47 / 128 ] simplifiying candidate # 1545218122.624 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545218122.624 * * [misc]simplify: iters left: 6 (16 enodes) 1545218122.627 * * [misc]simplify: iters left: 5 (28 enodes) 1545218122.631 * * [misc]simplify: iters left: 4 (46 enodes) 1545218122.637 * * [misc]simplify: iters left: 3 (50 enodes) 1545218122.647 * * [misc]simplify: iters left: 2 (53 enodes) 1545218122.660 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545218122.661 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545218122.661 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218122.661 * * [misc]simplify: iters left: 6 (14 enodes) 1545218122.665 * * [misc]simplify: iters left: 5 (20 enodes) 1545218122.671 * * [misc]simplify: iters left: 4 (29 enodes) 1545218122.678 * * [misc]simplify: iters left: 3 (30 enodes) 1545218122.686 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218122.686 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545218122.686 * * * * [misc]progress: [ 48 / 128 ] simplifiying candidate # 1545218122.686 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218122.686 * * [misc]simplify: iters left: 6 (15 enodes) 1545218122.691 * * [misc]simplify: iters left: 5 (23 enodes) 1545218122.697 * * [misc]simplify: iters left: 4 (34 enodes) 1545218122.707 * * [misc]simplify: iters left: 3 (36 enodes) 1545218122.716 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218122.716 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545218122.716 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218122.716 * * [misc]simplify: iters left: 6 (14 enodes) 1545218122.721 * * [misc]simplify: iters left: 5 (20 enodes) 1545218122.726 * * [misc]simplify: iters left: 4 (29 enodes) 1545218122.734 * * [misc]simplify: iters left: 3 (30 enodes) 1545218122.742 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218122.742 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545218122.742 * * * * [misc]progress: [ 49 / 128 ] simplifiying candidate # 1545218122.743 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545218122.743 * * [misc]simplify: iters left: 6 (6 enodes) 1545218122.744 * * [misc]simplify: iters left: 5 (10 enodes) 1545218122.746 * * [misc]simplify: iters left: 4 (16 enodes) 1545218122.748 * * [misc]simplify: iters left: 3 (18 enodes) 1545218122.749 * * [misc]simplify: iters left: 2 (23 enodes) 1545218122.752 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545218122.752 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545218122.752 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218122.752 * * [misc]simplify: iters left: 6 (13 enodes) 1545218122.754 * * [misc]simplify: iters left: 5 (19 enodes) 1545218122.757 * * [misc]simplify: iters left: 4 (28 enodes) 1545218122.760 * * [misc]simplify: iters left: 3 (30 enodes) 1545218122.764 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545218122.764 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545218122.764 * * * * [misc]progress: [ 50 / 128 ] simplifiying candidate # 1545218122.764 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545218122.764 * * [misc]simplify: iters left: 6 (11 enodes) 1545218122.766 * * [misc]simplify: iters left: 5 (16 enodes) 1545218122.768 * * [misc]simplify: iters left: 4 (22 enodes) 1545218122.771 * * [misc]simplify: iters left: 3 (23 enodes) 1545218122.776 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545218122.776 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545218122.777 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218122.777 * * [misc]simplify: iters left: 6 (12 enodes) 1545218122.780 * * [misc]simplify: iters left: 5 (18 enodes) 1545218122.785 * * [misc]simplify: iters left: 4 (24 enodes) 1545218122.792 * * [misc]simplify: iters left: 3 (25 enodes) 1545218122.798 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545218122.798 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545218122.798 * * * * [misc]progress: [ 51 / 128 ] simplifiying candidate # 1545218122.799 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545218122.799 * * [misc]simplify: iters left: 6 (11 enodes) 1545218122.802 * * [misc]simplify: iters left: 5 (16 enodes) 1545218122.806 * * [misc]simplify: iters left: 4 (22 enodes) 1545218122.812 * * [misc]simplify: iters left: 3 (23 enodes) 1545218122.818 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545218122.818 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545218122.818 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218122.818 * * [misc]simplify: iters left: 6 (12 enodes) 1545218122.822 * * [misc]simplify: iters left: 5 (18 enodes) 1545218122.827 * * [misc]simplify: iters left: 4 (24 enodes) 1545218122.833 * * [misc]simplify: iters left: 3 (25 enodes) 1545218122.840 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545218122.840 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545218122.840 * * * * [misc]progress: [ 52 / 128 ] simplifiying candidate # 1545218122.840 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545218122.840 * * [misc]simplify: iters left: 6 (10 enodes) 1545218122.843 * * [misc]simplify: iters left: 5 (12 enodes) 1545218122.847 * * [misc]simplify: iters left: 4 (15 enodes) 1545218122.851 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545218122.851 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218122.851 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218122.852 * * [misc]simplify: iters left: 6 (11 enodes) 1545218122.855 * * [misc]simplify: iters left: 5 (14 enodes) 1545218122.860 * * [misc]simplify: iters left: 4 (17 enodes) 1545218122.865 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218122.865 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218122.865 * * * * [misc]progress: [ 53 / 128 ] simplifiying candidate # 1545218122.865 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545218122.865 * * [misc]simplify: iters left: 6 (15 enodes) 1545218122.870 * * [misc]simplify: iters left: 5 (23 enodes) 1545218122.877 * * [misc]simplify: iters left: 4 (32 enodes) 1545218122.885 * * [misc]simplify: iters left: 3 (34 enodes) 1545218122.891 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545218122.891 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545218122.891 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218122.891 * * [misc]simplify: iters left: 6 (14 enodes) 1545218122.893 * * [misc]simplify: iters left: 5 (20 enodes) 1545218122.896 * * [misc]simplify: iters left: 4 (29 enodes) 1545218122.900 * * [misc]simplify: iters left: 3 (30 enodes) 1545218122.903 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218122.903 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545218122.903 * * * * [misc]progress: [ 54 / 128 ] simplifiying candidate # 1545218122.904 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218122.904 * * [misc]simplify: iters left: 6 (14 enodes) 1545218122.906 * * [misc]simplify: iters left: 5 (20 enodes) 1545218122.909 * * [misc]simplify: iters left: 4 (29 enodes) 1545218122.912 * * [misc]simplify: iters left: 3 (30 enodes) 1545218122.916 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218122.916 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545218122.916 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218122.916 * * [misc]simplify: iters left: 6 (14 enodes) 1545218122.918 * * [misc]simplify: iters left: 5 (20 enodes) 1545218122.923 * * [misc]simplify: iters left: 4 (29 enodes) 1545218122.931 * * [misc]simplify: iters left: 3 (30 enodes) 1545218122.938 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218122.938 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545218122.938 * * * * [misc]progress: [ 55 / 128 ] simplifiying candidate # 1545218122.939 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545218122.939 * * [misc]simplify: iters left: 4 (5 enodes) 1545218122.940 * * [misc]simplify: iters left: 3 (7 enodes) 1545218122.943 * * [misc]simplify: iters left: 2 (9 enodes) 1545218122.944 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545218122.944 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545218122.945 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218122.945 * * [misc]simplify: iters left: 6 (13 enodes) 1545218122.949 * * [misc]simplify: iters left: 5 (19 enodes) 1545218122.954 * * [misc]simplify: iters left: 4 (28 enodes) 1545218122.962 * * [misc]simplify: iters left: 3 (30 enodes) 1545218122.969 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545218122.969 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545218122.969 * * * * [misc]progress: [ 56 / 128 ] simplifiying candidate # 1545218122.969 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545218122.969 * * [misc]simplify: iters left: 6 (9 enodes) 1545218122.973 * * [misc]simplify: iters left: 5 (16 enodes) 1545218122.977 * * [misc]simplify: iters left: 4 (22 enodes) 1545218122.982 * * [misc]simplify: iters left: 3 (23 enodes) 1545218122.986 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545218122.987 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545218122.987 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218122.987 * * [misc]simplify: iters left: 6 (11 enodes) 1545218122.990 * * [misc]simplify: iters left: 5 (17 enodes) 1545218122.994 * * [misc]simplify: iters left: 4 (23 enodes) 1545218123.000 * * [misc]simplify: iters left: 3 (24 enodes) 1545218123.005 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545218123.005 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545218123.005 * * * * [misc]progress: [ 57 / 128 ] simplifiying candidate # 1545218123.005 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545218123.005 * * [misc]simplify: iters left: 6 (9 enodes) 1545218123.008 * * [misc]simplify: iters left: 5 (16 enodes) 1545218123.011 * * [misc]simplify: iters left: 4 (22 enodes) 1545218123.016 * * [misc]simplify: iters left: 3 (23 enodes) 1545218123.022 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545218123.022 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545218123.023 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218123.023 * * [misc]simplify: iters left: 6 (11 enodes) 1545218123.026 * * [misc]simplify: iters left: 5 (17 enodes) 1545218123.031 * * [misc]simplify: iters left: 4 (23 enodes) 1545218123.038 * * [misc]simplify: iters left: 3 (24 enodes) 1545218123.044 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545218123.044 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545218123.044 * * * * [misc]progress: [ 58 / 128 ] simplifiying candidate # 1545218123.044 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545218123.044 * * [misc]simplify: iters left: 6 (9 enodes) 1545218123.047 * * [misc]simplify: iters left: 5 (13 enodes) 1545218123.051 * * [misc]simplify: iters left: 4 (16 enodes) 1545218123.055 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545218123.055 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218123.055 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218123.055 * * [misc]simplify: iters left: 6 (10 enodes) 1545218123.058 * * [misc]simplify: iters left: 5 (13 enodes) 1545218123.062 * * [misc]simplify: iters left: 4 (16 enodes) 1545218123.066 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218123.066 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218123.066 * * * * [misc]progress: [ 59 / 128 ] simplifiying candidate # 1545218123.067 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545218123.067 * * [misc]simplify: iters left: 6 (14 enodes) 1545218123.072 * * [misc]simplify: iters left: 5 (24 enodes) 1545218123.078 * * [misc]simplify: iters left: 4 (33 enodes) 1545218123.086 * * [misc]simplify: iters left: 3 (34 enodes) 1545218123.093 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1545218123.093 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545218123.093 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.094 * * [misc]simplify: iters left: 6 (13 enodes) 1545218123.097 * * [misc]simplify: iters left: 5 (19 enodes) 1545218123.103 * * [misc]simplify: iters left: 4 (28 enodes) 1545218123.110 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.117 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545218123.117 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1545218123.118 * * * * [misc]progress: [ 60 / 128 ] simplifiying candidate # 1545218123.118 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.118 * * [misc]simplify: iters left: 6 (13 enodes) 1545218123.122 * * [misc]simplify: iters left: 5 (21 enodes) 1545218123.127 * * [misc]simplify: iters left: 4 (30 enodes) 1545218123.132 * * [misc]simplify: iters left: 3 (31 enodes) 1545218123.135 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1545218123.135 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545218123.136 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.136 * * [misc]simplify: iters left: 6 (13 enodes) 1545218123.138 * * [misc]simplify: iters left: 5 (19 enodes) 1545218123.140 * * [misc]simplify: iters left: 4 (28 enodes) 1545218123.144 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.148 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545218123.148 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1545218123.148 * * * * [misc]progress: [ 61 / 128 ] simplifiying candidate # 1545218123.148 * [enter]simplify: Simplifying (/ 1 1) 1545218123.148 * * [misc]simplify: iters left: 2 (2 enodes) 1545218123.149 * * [misc]simplify: iters left: 1 (4 enodes) 1545218123.150 * [exit]simplify: Simplified to 1 1545218123.150 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545218123.150 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.150 * * [misc]simplify: iters left: 6 (12 enodes) 1545218123.153 * * [misc]simplify: iters left: 5 (18 enodes) 1545218123.159 * * [misc]simplify: iters left: 4 (27 enodes) 1545218123.166 * * [misc]simplify: iters left: 3 (29 enodes) 1545218123.173 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.173 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545218123.173 * * * * [misc]progress: [ 62 / 128 ] simplifiying candidate # 1545218123.173 * * * * [misc]progress: [ 63 / 128 ] simplifiying candidate # 1545218123.174 * * * * [misc]progress: [ 64 / 128 ] simplifiying candidate # 1545218123.174 * * * * [misc]progress: [ 65 / 128 ] simplifiying candidate # 1545218123.174 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545218123.174 * * [misc]simplify: iters left: 5 (9 enodes) 1545218123.176 * * [misc]simplify: iters left: 4 (15 enodes) 1545218123.178 * * [misc]simplify: iters left: 3 (21 enodes) 1545218123.181 * * [misc]simplify: iters left: 2 (22 enodes) 1545218123.183 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545218123.183 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545218123.184 * * * * [misc]progress: [ 66 / 128 ] simplifiying candidate # 1545218123.184 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545218123.184 * * [misc]simplify: iters left: 5 (9 enodes) 1545218123.185 * * [misc]simplify: iters left: 4 (15 enodes) 1545218123.187 * * [misc]simplify: iters left: 3 (21 enodes) 1545218123.190 * * [misc]simplify: iters left: 2 (22 enodes) 1545218123.192 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545218123.192 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545218123.192 * * * * [misc]progress: [ 67 / 128 ] simplifiying candidate # 1545218123.193 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545218123.193 * * [misc]simplify: iters left: 5 (8 enodes) 1545218123.194 * * [misc]simplify: iters left: 4 (11 enodes) 1545218123.195 * * [misc]simplify: iters left: 3 (14 enodes) 1545218123.199 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545218123.199 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218123.199 * * * * [misc]progress: [ 68 / 128 ] simplifiying candidate # 1545218123.199 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.199 * * [misc]simplify: iters left: 6 (11 enodes) 1545218123.203 * * [misc]simplify: iters left: 5 (17 enodes) 1545218123.207 * * [misc]simplify: iters left: 4 (26 enodes) 1545218123.214 * * [misc]simplify: iters left: 3 (27 enodes) 1545218123.221 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545218123.221 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545218123.221 * * * * [misc]progress: [ 69 / 128 ] simplifiying candidate # 1545218123.221 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.221 * * [misc]simplify: iters left: 6 (11 enodes) 1545218123.225 * * [misc]simplify: iters left: 5 (17 enodes) 1545218123.228 * * [misc]simplify: iters left: 4 (26 enodes) 1545218123.232 * * [misc]simplify: iters left: 3 (27 enodes) 1545218123.235 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545218123.235 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545218123.235 * * * * [misc]progress: [ 70 / 128 ] simplifiying candidate # 1545218123.235 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545218123.235 * * [misc]simplify: iters left: 5 (10 enodes) 1545218123.237 * * [misc]simplify: iters left: 4 (16 enodes) 1545218123.239 * * [misc]simplify: iters left: 3 (25 enodes) 1545218123.242 * * [misc]simplify: iters left: 2 (26 enodes) 1545218123.245 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545218123.245 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1545218123.245 * * * * [misc]progress: [ 71 / 128 ] simplifiying candidate # 1545218123.245 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545218123.245 * * [misc]simplify: iters left: 4 (4 enodes) 1545218123.246 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545218123.246 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545218123.246 * * * * [misc]progress: [ 72 / 128 ] simplifiying candidate # 1545218123.246 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545218123.246 * * [misc]simplify: iters left: 2 (3 enodes) 1545218123.247 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545218123.247 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545218123.247 * * * * [misc]progress: [ 73 / 128 ] simplifiying candidate # 1545218123.247 * * * * [misc]progress: [ 74 / 128 ] simplifiying candidate # 1545218123.247 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545218123.247 * * [misc]simplify: iters left: 5 (8 enodes) 1545218123.248 * * [misc]simplify: iters left: 4 (12 enodes) 1545218123.250 * * [misc]simplify: iters left: 3 (18 enodes) 1545218123.252 * * [misc]simplify: iters left: 2 (20 enodes) 1545218123.254 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545218123.255 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1545218123.255 * * * * [misc]progress: [ 75 / 128 ] simplifiying candidate # 1545218123.255 * * * * [misc]progress: [ 76 / 128 ] simplifiying candidate # 1545218123.255 * * * * [misc]progress: [ 77 / 128 ] simplifiying candidate # 1545218123.255 * * * * [misc]progress: [ 78 / 128 ] simplifiying candidate # 1545218123.255 * [enter]simplify: Simplifying (- 1) 1545218123.255 * * [misc]simplify: iters left: 2 (2 enodes) 1545218123.256 * * [misc]simplify: iters left: 1 (5 enodes) 1545218123.257 * [exit]simplify: Simplified to -1 1545218123.257 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1545218123.257 * * * * [misc]progress: [ 79 / 128 ] simplifiying candidate # 1545218123.257 * * * * [misc]progress: [ 80 / 128 ] simplifiying candidate # 1545218123.257 * * * * [misc]progress: [ 81 / 128 ] simplifiying candidate # 1545218123.257 * * * * [misc]progress: [ 82 / 128 ] simplifiying candidate # 1545218123.257 * * * * [misc]progress: [ 83 / 128 ] simplifiying candidate # 1545218123.257 * * * * [misc]progress: [ 84 / 128 ] simplifiying candidate # 1545218123.257 * * * * [misc]progress: [ 85 / 128 ] simplifiying candidate # 1545218123.257 * * * * [misc]progress: [ 86 / 128 ] simplifiying candidate # 1545218123.258 * * * * [misc]progress: [ 87 / 128 ] simplifiying candidate # 1545218123.258 * * * * [misc]progress: [ 88 / 128 ] simplifiying candidate # 1545218123.258 * * * * [misc]progress: [ 89 / 128 ] simplifiying candidate # 1545218123.258 * * * * [misc]progress: [ 90 / 128 ] simplifiying candidate # 1545218123.258 * * * * [misc]progress: [ 91 / 128 ] simplifiying candidate # 1545218123.258 * * * * [misc]progress: [ 92 / 128 ] simplifiying candidate # 1545218123.258 * * * * [misc]progress: [ 93 / 128 ] simplifiying candidate # 1545218123.258 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.258 * * [misc]simplify: iters left: 6 (13 enodes) 1545218123.262 * * [misc]simplify: iters left: 5 (19 enodes) 1545218123.267 * * [misc]simplify: iters left: 4 (28 enodes) 1545218123.274 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.281 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545218123.281 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545218123.281 * * * * [misc]progress: [ 94 / 128 ] simplifiying candidate # 1545218123.281 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.281 * * [misc]simplify: iters left: 6 (13 enodes) 1545218123.285 * * [misc]simplify: iters left: 5 (19 enodes) 1545218123.290 * * [misc]simplify: iters left: 4 (28 enodes) 1545218123.297 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.302 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545218123.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545218123.302 * * * * [misc]progress: [ 95 / 128 ] simplifiying candidate # 1545218123.302 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218123.302 * * [misc]simplify: iters left: 6 (12 enodes) 1545218123.304 * * [misc]simplify: iters left: 5 (18 enodes) 1545218123.306 * * [misc]simplify: iters left: 4 (24 enodes) 1545218123.309 * * [misc]simplify: iters left: 3 (25 enodes) 1545218123.312 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545218123.312 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545218123.312 * * * * [misc]progress: [ 96 / 128 ] simplifiying candidate # 1545218123.312 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218123.313 * * [misc]simplify: iters left: 6 (12 enodes) 1545218123.315 * * [misc]simplify: iters left: 5 (18 enodes) 1545218123.317 * * [misc]simplify: iters left: 4 (24 enodes) 1545218123.320 * * [misc]simplify: iters left: 3 (25 enodes) 1545218123.323 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545218123.324 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545218123.324 * * * * [misc]progress: [ 97 / 128 ] simplifiying candidate # 1545218123.324 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218123.324 * * [misc]simplify: iters left: 6 (11 enodes) 1545218123.326 * * [misc]simplify: iters left: 5 (14 enodes) 1545218123.328 * * [misc]simplify: iters left: 4 (17 enodes) 1545218123.330 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218123.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218123.330 * * * * [misc]progress: [ 98 / 128 ] simplifiying candidate # 1545218123.331 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.331 * * [misc]simplify: iters left: 6 (14 enodes) 1545218123.333 * * [misc]simplify: iters left: 5 (20 enodes) 1545218123.335 * * [misc]simplify: iters left: 4 (29 enodes) 1545218123.339 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.343 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218123.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545218123.343 * * * * [misc]progress: [ 99 / 128 ] simplifiying candidate # 1545218123.343 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.343 * * [misc]simplify: iters left: 6 (14 enodes) 1545218123.345 * * [misc]simplify: iters left: 5 (20 enodes) 1545218123.348 * * [misc]simplify: iters left: 4 (29 enodes) 1545218123.352 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.359 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218123.359 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545218123.359 * * * * [misc]progress: [ 100 / 128 ] simplifiying candidate # 1545218123.359 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.359 * * [misc]simplify: iters left: 6 (13 enodes) 1545218123.363 * * [misc]simplify: iters left: 5 (19 enodes) 1545218123.368 * * [misc]simplify: iters left: 4 (28 enodes) 1545218123.373 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.377 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545218123.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1545218123.377 * * * * [misc]progress: [ 101 / 128 ] simplifiying candidate # 1545218123.377 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218123.377 * * [misc]simplify: iters left: 6 (12 enodes) 1545218123.379 * * [misc]simplify: iters left: 5 (18 enodes) 1545218123.381 * * [misc]simplify: iters left: 4 (24 enodes) 1545218123.384 * * [misc]simplify: iters left: 3 (25 enodes) 1545218123.387 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545218123.387 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545218123.388 * * * * [misc]progress: [ 102 / 128 ] simplifiying candidate # 1545218123.388 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218123.388 * * [misc]simplify: iters left: 6 (12 enodes) 1545218123.389 * * [misc]simplify: iters left: 5 (18 enodes) 1545218123.392 * * [misc]simplify: iters left: 4 (24 enodes) 1545218123.396 * * [misc]simplify: iters left: 3 (25 enodes) 1545218123.399 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545218123.399 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545218123.399 * * * * [misc]progress: [ 103 / 128 ] simplifiying candidate # 1545218123.399 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218123.399 * * [misc]simplify: iters left: 6 (11 enodes) 1545218123.401 * * [misc]simplify: iters left: 5 (14 enodes) 1545218123.402 * * [misc]simplify: iters left: 4 (17 enodes) 1545218123.405 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218123.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218123.405 * * * * [misc]progress: [ 104 / 128 ] simplifiying candidate # 1545218123.405 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.405 * * [misc]simplify: iters left: 6 (14 enodes) 1545218123.407 * * [misc]simplify: iters left: 5 (20 enodes) 1545218123.410 * * [misc]simplify: iters left: 4 (29 enodes) 1545218123.413 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.419 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218123.419 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545218123.419 * * * * [misc]progress: [ 105 / 128 ] simplifiying candidate # 1545218123.419 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.419 * * [misc]simplify: iters left: 6 (14 enodes) 1545218123.423 * * [misc]simplify: iters left: 5 (20 enodes) 1545218123.429 * * [misc]simplify: iters left: 4 (29 enodes) 1545218123.437 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.442 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545218123.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545218123.442 * * * * [misc]progress: [ 106 / 128 ] simplifiying candidate # 1545218123.442 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.442 * * [misc]simplify: iters left: 6 (13 enodes) 1545218123.444 * * [misc]simplify: iters left: 5 (19 enodes) 1545218123.447 * * [misc]simplify: iters left: 4 (28 enodes) 1545218123.450 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.454 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545218123.454 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1545218123.454 * * * * [misc]progress: [ 107 / 128 ] simplifiying candidate # 1545218123.455 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218123.455 * * [misc]simplify: iters left: 6 (11 enodes) 1545218123.456 * * [misc]simplify: iters left: 5 (17 enodes) 1545218123.459 * * [misc]simplify: iters left: 4 (23 enodes) 1545218123.462 * * [misc]simplify: iters left: 3 (24 enodes) 1545218123.464 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545218123.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1545218123.465 * * * * [misc]progress: [ 108 / 128 ] simplifiying candidate # 1545218123.465 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545218123.465 * * [misc]simplify: iters left: 6 (11 enodes) 1545218123.466 * * [misc]simplify: iters left: 5 (17 enodes) 1545218123.469 * * [misc]simplify: iters left: 4 (23 enodes) 1545218123.472 * * [misc]simplify: iters left: 3 (24 enodes) 1545218123.477 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545218123.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1545218123.477 * * * * [misc]progress: [ 109 / 128 ] simplifiying candidate # 1545218123.478 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218123.478 * * [misc]simplify: iters left: 6 (10 enodes) 1545218123.481 * * [misc]simplify: iters left: 5 (13 enodes) 1545218123.485 * * [misc]simplify: iters left: 4 (16 enodes) 1545218123.489 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218123.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218123.489 * * * * [misc]progress: [ 110 / 128 ] simplifiying candidate # 1545218123.489 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.490 * * [misc]simplify: iters left: 6 (13 enodes) 1545218123.493 * * [misc]simplify: iters left: 5 (19 enodes) 1545218123.498 * * [misc]simplify: iters left: 4 (28 enodes) 1545218123.504 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.508 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545218123.508 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545218123.508 * * * * [misc]progress: [ 111 / 128 ] simplifiying candidate # 1545218123.508 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545218123.508 * * [misc]simplify: iters left: 6 (13 enodes) 1545218123.510 * * [misc]simplify: iters left: 5 (19 enodes) 1545218123.513 * * [misc]simplify: iters left: 4 (28 enodes) 1545218123.517 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.520 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545218123.520 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545218123.521 * * * * [misc]progress: [ 112 / 128 ] simplifiying candidate # 1545218123.521 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.521 * * [misc]simplify: iters left: 6 (12 enodes) 1545218123.523 * * [misc]simplify: iters left: 5 (18 enodes) 1545218123.525 * * [misc]simplify: iters left: 4 (27 enodes) 1545218123.529 * * [misc]simplify: iters left: 3 (29 enodes) 1545218123.532 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.532 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545218123.532 * * * * [misc]progress: [ 113 / 128 ] simplifiying candidate # 1545218123.532 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.532 * * [misc]simplify: iters left: 6 (12 enodes) 1545218123.534 * * [misc]simplify: iters left: 5 (18 enodes) 1545218123.538 * * [misc]simplify: iters left: 4 (27 enodes) 1545218123.545 * * [misc]simplify: iters left: 3 (29 enodes) 1545218123.549 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.549 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545218123.550 * * * * [misc]progress: [ 114 / 128 ] simplifiying candidate # 1545218123.550 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545218123.550 * * [misc]simplify: iters left: 6 (12 enodes) 1545218123.552 * * [misc]simplify: iters left: 5 (20 enodes) 1545218123.554 * * [misc]simplify: iters left: 4 (29 enodes) 1545218123.558 * * [misc]simplify: iters left: 3 (30 enodes) 1545218123.562 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1545218123.562 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1545218123.562 * * * * [misc]progress: [ 115 / 128 ] simplifiying candidate # 1545218123.562 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545218123.562 * * [misc]simplify: iters left: 5 (8 enodes) 1545218123.563 * * [misc]simplify: iters left: 4 (12 enodes) 1545218123.565 * * [misc]simplify: iters left: 3 (18 enodes) 1545218123.567 * * [misc]simplify: iters left: 2 (20 enodes) 1545218123.570 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545218123.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1545218123.570 * * * * [misc]progress: [ 116 / 128 ] simplifiying candidate # 1545218123.570 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545218123.570 * * [misc]simplify: iters left: 5 (10 enodes) 1545218123.572 * * [misc]simplify: iters left: 4 (16 enodes) 1545218123.574 * * [misc]simplify: iters left: 3 (25 enodes) 1545218123.577 * * [misc]simplify: iters left: 2 (26 enodes) 1545218123.580 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545218123.580 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545218123.580 * * * * [misc]progress: [ 117 / 128 ] simplifiying candidate # 1545218123.580 * [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))))) 1545218123.581 * * [misc]simplify: iters left: 6 (37 enodes) 1545218123.588 * * [misc]simplify: iters left: 5 (108 enodes) 1545218123.612 * * [misc]simplify: iters left: 4 (368 enodes) 1545218123.812 * [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)))))) 1545218123.812 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (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))))))))) 1545218123.812 * * * * [misc]progress: [ 118 / 128 ] simplifiying candidate # 1545218123.813 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545218123.813 * * [misc]simplify: iters left: 6 (15 enodes) 1545218123.816 * * [misc]simplify: iters left: 5 (33 enodes) 1545218123.821 * * [misc]simplify: iters left: 4 (64 enodes) 1545218123.840 * * [misc]simplify: iters left: 3 (179 enodes) 1545218123.928 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545218123.928 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))) 1545218123.928 * * * * [misc]progress: [ 119 / 128 ] simplifiying candidate # 1545218123.928 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545218123.928 * * [misc]simplify: iters left: 6 (15 enodes) 1545218123.931 * * [misc]simplify: iters left: 5 (30 enodes) 1545218123.937 * * [misc]simplify: iters left: 4 (65 enodes) 1545218123.954 * * [misc]simplify: iters left: 3 (208 enodes) 1545218124.089 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545218124.089 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) 1545218124.089 * * * * [misc]progress: [ 120 / 128 ] simplifiying candidate # 1545218124.089 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545218124.090 * * [misc]simplify: iters left: 4 (5 enodes) 1545218124.091 * * [misc]simplify: iters left: 3 (9 enodes) 1545218124.094 * * [misc]simplify: iters left: 2 (15 enodes) 1545218124.098 * * [misc]simplify: iters left: 1 (17 enodes) 1545218124.101 * [exit]simplify: Simplified to (* (* PI n) 2) 1545218124.102 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545218124.102 * * * * [misc]progress: [ 121 / 128 ] simplifiying candidate # 1545218124.102 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545218124.102 * * [misc]simplify: iters left: 4 (5 enodes) 1545218124.104 * * [misc]simplify: iters left: 3 (9 enodes) 1545218124.107 * * [misc]simplify: iters left: 2 (15 enodes) 1545218124.110 * * [misc]simplify: iters left: 1 (17 enodes) 1545218124.114 * [exit]simplify: Simplified to (* (* PI n) 2) 1545218124.114 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545218124.114 * * * * [misc]progress: [ 122 / 128 ] simplifiying candidate # 1545218124.115 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545218124.115 * * [misc]simplify: iters left: 4 (5 enodes) 1545218124.116 * * [misc]simplify: iters left: 3 (9 enodes) 1545218124.119 * * [misc]simplify: iters left: 2 (15 enodes) 1545218124.121 * * [misc]simplify: iters left: 1 (17 enodes) 1545218124.123 * [exit]simplify: Simplified to (* (* PI n) 2) 1545218124.123 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545218124.123 * * * * [misc]progress: [ 123 / 128 ] simplifiying candidate # 1545218124.123 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1545218124.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545218124.123 * * * * [misc]progress: [ 124 / 128 ] simplifiying candidate # 1545218124.123 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1545218124.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545218124.123 * * * * [misc]progress: [ 125 / 128 ] simplifiying candidate # 1545218124.124 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1545218124.124 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545218124.124 * * * * [misc]progress: [ 126 / 128 ] simplifiying candidate # 1545218124.124 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545218124.124 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218124.124 * * * * [misc]progress: [ 127 / 128 ] simplifiying candidate # 1545218124.124 * [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)))))))) 1545218124.124 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218124.124 * * * * [misc]progress: [ 128 / 128 ] simplifiying candidate # 1545218124.124 * [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))))))))))) 1545218124.124 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218124.124 * * * [misc]progress: adding candidates to table 1545218125.889 * * [misc]progress: iteration 3 / 4 1545218125.889 * * * [misc]progress: picking best candidate 1545218125.915 * * * * [misc]pick: Picked # 1545218125.915 * * * [misc]progress: localizing error 1545218125.935 * * * [misc]progress: generating rewritten candidates 1545218125.935 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1545218125.937 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) 1545218125.940 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1545218125.956 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545218125.974 * * * [misc]progress: generating series expansions 1545218125.974 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1545218125.974 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545218125.974 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545218125.974 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545218125.974 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545218125.974 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545218125.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218125.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218125.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218125.975 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218125.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218125.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218125.975 * [misc]taylor: Taking taylor expansion of k in k 1545218125.975 * [misc]backup-simplify: Simplify 0 into 0 1545218125.975 * [misc]backup-simplify: Simplify 1 into 1 1545218125.975 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218125.975 * [misc]taylor: Taking taylor expansion of PI in k 1545218125.975 * [misc]backup-simplify: Simplify PI into PI 1545218125.975 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218125.976 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218125.976 * [misc]backup-simplify: Simplify (- 0) into 0 1545218125.976 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218125.976 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218125.977 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545218125.977 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545218125.977 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545218125.977 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545218125.977 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218125.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218125.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218125.977 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218125.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218125.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218125.977 * [misc]taylor: Taking taylor expansion of k in k 1545218125.977 * [misc]backup-simplify: Simplify 0 into 0 1545218125.977 * [misc]backup-simplify: Simplify 1 into 1 1545218125.977 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218125.977 * [misc]taylor: Taking taylor expansion of PI in k 1545218125.977 * [misc]backup-simplify: Simplify PI into PI 1545218125.978 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218125.978 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218125.978 * [misc]backup-simplify: Simplify (- 0) into 0 1545218125.978 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218125.979 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218125.980 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545218125.980 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545218125.982 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218125.983 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218125.983 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218125.983 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218125.984 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545218125.987 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545218125.988 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545218125.992 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545218125.992 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218125.992 * [misc]backup-simplify: Simplify (- 0) into 0 1545218125.992 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218125.994 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545218125.998 * [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))) 1545218125.999 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545218126.002 * [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)))) 1545218126.003 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.003 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545218126.003 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218126.003 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545218126.003 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545218126.003 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.003 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.003 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.003 * [misc]taylor: Taking taylor expansion of k in k 1545218126.003 * [misc]backup-simplify: Simplify 0 into 0 1545218126.003 * [misc]backup-simplify: Simplify 1 into 1 1545218126.003 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.003 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.003 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.003 * [misc]backup-simplify: Simplify PI into PI 1545218126.004 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.004 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.004 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.004 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.005 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545218126.005 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.005 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218126.005 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545218126.005 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545218126.005 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.005 * [misc]taylor: Taking taylor expansion of k in k 1545218126.005 * [misc]backup-simplify: Simplify 0 into 0 1545218126.006 * [misc]backup-simplify: Simplify 1 into 1 1545218126.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.006 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.006 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.006 * [misc]backup-simplify: Simplify PI into PI 1545218126.006 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.006 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.006 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.007 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.007 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545218126.007 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.008 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.008 * [misc]backup-simplify: Simplify 0 into 0 1545218126.008 * [misc]backup-simplify: Simplify 0 into 0 1545218126.008 * [misc]backup-simplify: Simplify 0 into 0 1545218126.008 * [misc]backup-simplify: Simplify 0 into 0 1545218126.008 * [misc]backup-simplify: Simplify 0 into 0 1545218126.008 * [misc]backup-simplify: Simplify 0 into 0 1545218126.008 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545218126.008 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.008 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545218126.008 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218126.008 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545218126.008 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545218126.008 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.009 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.009 * [misc]taylor: Taking taylor expansion of k in k 1545218126.009 * [misc]backup-simplify: Simplify 0 into 0 1545218126.009 * [misc]backup-simplify: Simplify 1 into 1 1545218126.009 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.009 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.009 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.009 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.009 * [misc]backup-simplify: Simplify PI into PI 1545218126.009 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.010 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.010 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.010 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218126.010 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.011 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218126.011 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545218126.011 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545218126.011 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.011 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.011 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.011 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.011 * [misc]taylor: Taking taylor expansion of k in k 1545218126.011 * [misc]backup-simplify: Simplify 0 into 0 1545218126.011 * [misc]backup-simplify: Simplify 1 into 1 1545218126.011 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.011 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.011 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.011 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.011 * [misc]backup-simplify: Simplify PI into PI 1545218126.011 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.012 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.012 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.012 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218126.013 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.013 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.013 * [misc]backup-simplify: Simplify 0 into 0 1545218126.013 * [misc]backup-simplify: Simplify 0 into 0 1545218126.013 * [misc]backup-simplify: Simplify 0 into 0 1545218126.013 * [misc]backup-simplify: Simplify 0 into 0 1545218126.013 * [misc]backup-simplify: Simplify 0 into 0 1545218126.013 * [misc]backup-simplify: Simplify 0 into 0 1545218126.013 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545218126.013 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) 1545218126.014 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545218126.014 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545218126.014 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218126.014 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218126.014 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218126.014 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218126.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.014 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218126.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.014 * [misc]taylor: Taking taylor expansion of k in k 1545218126.014 * [misc]backup-simplify: Simplify 0 into 0 1545218126.014 * [misc]backup-simplify: Simplify 1 into 1 1545218126.014 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218126.014 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218126.014 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.014 * [misc]backup-simplify: Simplify 2 into 2 1545218126.014 * [misc]taylor: Taking taylor expansion of n in k 1545218126.014 * [misc]backup-simplify: Simplify n into n 1545218126.014 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218126.014 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218126.014 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218126.015 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.015 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.015 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218126.015 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218126.015 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545218126.015 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545218126.015 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545218126.015 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218126.015 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.015 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218126.015 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.015 * [misc]taylor: Taking taylor expansion of k in n 1545218126.015 * [misc]backup-simplify: Simplify k into k 1545218126.015 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218126.015 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218126.015 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.015 * [misc]backup-simplify: Simplify 2 into 2 1545218126.015 * [misc]taylor: Taking taylor expansion of n in n 1545218126.016 * [misc]backup-simplify: Simplify 0 into 0 1545218126.016 * [misc]backup-simplify: Simplify 1 into 1 1545218126.016 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218126.016 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218126.016 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.016 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218126.016 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218126.016 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218126.017 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.017 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545218126.017 * [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)))) 1545218126.017 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545218126.017 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545218126.017 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545218126.017 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218126.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.018 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218126.018 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.018 * [misc]taylor: Taking taylor expansion of k in n 1545218126.018 * [misc]backup-simplify: Simplify k into k 1545218126.018 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218126.018 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218126.018 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.018 * [misc]backup-simplify: Simplify 2 into 2 1545218126.018 * [misc]taylor: Taking taylor expansion of n in n 1545218126.018 * [misc]backup-simplify: Simplify 0 into 0 1545218126.018 * [misc]backup-simplify: Simplify 1 into 1 1545218126.018 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218126.018 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218126.018 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.019 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218126.019 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218126.019 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218126.019 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.019 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545218126.020 * [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)))) 1545218126.020 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545218126.020 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545218126.020 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545218126.020 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545218126.020 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.020 * [misc]backup-simplify: Simplify 2 into 2 1545218126.020 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.020 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218126.020 * [misc]taylor: Taking taylor expansion of n in k 1545218126.020 * [misc]backup-simplify: Simplify n into n 1545218126.020 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218126.020 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218126.020 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.020 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218126.021 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.021 * [misc]taylor: Taking taylor expansion of k in k 1545218126.021 * [misc]backup-simplify: Simplify 0 into 0 1545218126.021 * [misc]backup-simplify: Simplify 1 into 1 1545218126.021 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545218126.021 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218126.021 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.021 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.022 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545218126.022 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545218126.022 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545218126.022 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545218126.025 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218126.025 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545218126.025 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.026 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.026 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.026 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545218126.028 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218126.028 * [misc]taylor: Taking taylor expansion of 0 in k 1545218126.028 * [misc]backup-simplify: Simplify 0 into 0 1545218126.028 * [misc]backup-simplify: Simplify 0 into 0 1545218126.028 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218126.028 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.028 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.031 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218126.032 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545218126.032 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.033 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545218126.033 * [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))))) 1545218126.034 * [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))))) 1545218126.035 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545218126.039 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545218126.039 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545218126.039 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.040 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.040 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.040 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545218126.042 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545218126.042 * [misc]taylor: Taking taylor expansion of 0 in k 1545218126.043 * [misc]backup-simplify: Simplify 0 into 0 1545218126.043 * [misc]backup-simplify: Simplify 0 into 0 1545218126.043 * [misc]backup-simplify: Simplify 0 into 0 1545218126.043 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218126.043 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.047 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545218126.049 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545218126.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.050 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545218126.051 * [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))))) 1545218126.053 * [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))))) 1545218126.055 * [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))))) 1545218126.056 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.056 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545218126.056 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218126.056 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218126.056 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218126.056 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.056 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.056 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.056 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.056 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.056 * [misc]taylor: Taking taylor expansion of k in k 1545218126.056 * [misc]backup-simplify: Simplify 0 into 0 1545218126.056 * [misc]backup-simplify: Simplify 1 into 1 1545218126.056 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.056 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218126.056 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218126.056 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.056 * [misc]backup-simplify: Simplify 2 into 2 1545218126.057 * [misc]taylor: Taking taylor expansion of n in k 1545218126.057 * [misc]backup-simplify: Simplify n into n 1545218126.057 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218126.057 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218126.057 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.057 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.057 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.057 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218126.057 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.057 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.058 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.058 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.058 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.058 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.058 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.058 * [misc]taylor: Taking taylor expansion of k in n 1545218126.058 * [misc]backup-simplify: Simplify k into k 1545218126.058 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.058 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.058 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.058 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.058 * [misc]backup-simplify: Simplify 2 into 2 1545218126.058 * [misc]taylor: Taking taylor expansion of n in n 1545218126.058 * [misc]backup-simplify: Simplify 0 into 0 1545218126.058 * [misc]backup-simplify: Simplify 1 into 1 1545218126.058 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.058 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.058 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.059 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.059 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.059 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.059 * [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))) 1545218126.060 * [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)))) 1545218126.060 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.060 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.060 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.060 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.060 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.060 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.060 * [misc]taylor: Taking taylor expansion of k in n 1545218126.060 * [misc]backup-simplify: Simplify k into k 1545218126.060 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.060 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.060 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.060 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.060 * [misc]backup-simplify: Simplify 2 into 2 1545218126.060 * [misc]taylor: Taking taylor expansion of n in n 1545218126.060 * [misc]backup-simplify: Simplify 0 into 0 1545218126.060 * [misc]backup-simplify: Simplify 1 into 1 1545218126.061 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.061 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.061 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.061 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.061 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.061 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.062 * [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))) 1545218126.062 * [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)))) 1545218126.062 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545218126.062 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545218126.062 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.062 * [misc]taylor: Taking taylor expansion of k in k 1545218126.062 * [misc]backup-simplify: Simplify 0 into 0 1545218126.062 * [misc]backup-simplify: Simplify 1 into 1 1545218126.063 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.063 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545218126.063 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545218126.063 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.063 * [misc]backup-simplify: Simplify 2 into 2 1545218126.063 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.063 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218126.063 * [misc]taylor: Taking taylor expansion of n in k 1545218126.063 * [misc]backup-simplify: Simplify n into n 1545218126.063 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218126.063 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.063 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.064 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.064 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218126.064 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545218126.064 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545218126.064 * [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)))) 1545218126.065 * [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)))) 1545218126.065 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545218126.068 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218126.068 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.068 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218126.068 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.068 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.069 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545218126.070 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218126.070 * [misc]taylor: Taking taylor expansion of 0 in k 1545218126.070 * [misc]backup-simplify: Simplify 0 into 0 1545218126.070 * [misc]backup-simplify: Simplify 0 into 0 1545218126.070 * [misc]backup-simplify: Simplify 0 into 0 1545218126.071 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218126.075 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545218126.075 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218126.076 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218126.076 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.076 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.076 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.077 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545218126.079 * [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 1545218126.079 * [misc]taylor: Taking taylor expansion of 0 in k 1545218126.079 * [misc]backup-simplify: Simplify 0 into 0 1545218126.079 * [misc]backup-simplify: Simplify 0 into 0 1545218126.079 * [misc]backup-simplify: Simplify 0 into 0 1545218126.079 * [misc]backup-simplify: Simplify 0 into 0 1545218126.080 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218126.087 * [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 1545218126.087 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218126.088 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545218126.088 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.088 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.088 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.089 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545218126.092 * [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 1545218126.092 * [misc]taylor: Taking taylor expansion of 0 in k 1545218126.092 * [misc]backup-simplify: Simplify 0 into 0 1545218126.092 * [misc]backup-simplify: Simplify 0 into 0 1545218126.093 * [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)))) 1545218126.093 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.093 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545218126.093 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218126.093 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218126.093 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218126.093 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.093 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.093 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.093 * [misc]taylor: Taking taylor expansion of k in k 1545218126.093 * [misc]backup-simplify: Simplify 0 into 0 1545218126.093 * [misc]backup-simplify: Simplify 1 into 1 1545218126.094 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.094 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.094 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218126.094 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218126.094 * [misc]taylor: Taking taylor expansion of -2 in k 1545218126.094 * [misc]backup-simplify: Simplify -2 into -2 1545218126.094 * [misc]taylor: Taking taylor expansion of n in k 1545218126.094 * [misc]backup-simplify: Simplify n into n 1545218126.094 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218126.094 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218126.094 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.094 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.094 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218126.095 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.095 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.095 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.095 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.095 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.095 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.095 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.095 * [misc]taylor: Taking taylor expansion of k in n 1545218126.095 * [misc]backup-simplify: Simplify k into k 1545218126.095 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.095 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.095 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.095 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.095 * [misc]backup-simplify: Simplify -2 into -2 1545218126.095 * [misc]taylor: Taking taylor expansion of n in n 1545218126.095 * [misc]backup-simplify: Simplify 0 into 0 1545218126.095 * [misc]backup-simplify: Simplify 1 into 1 1545218126.095 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.096 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.096 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.096 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.096 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.096 * [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))) 1545218126.097 * [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)))) 1545218126.097 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.097 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.097 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.097 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.097 * [misc]taylor: Taking taylor expansion of k in n 1545218126.097 * [misc]backup-simplify: Simplify k into k 1545218126.097 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.097 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.097 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.097 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.097 * [misc]backup-simplify: Simplify -2 into -2 1545218126.097 * [misc]taylor: Taking taylor expansion of n in n 1545218126.097 * [misc]backup-simplify: Simplify 0 into 0 1545218126.097 * [misc]backup-simplify: Simplify 1 into 1 1545218126.098 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.098 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.098 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.098 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.098 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.099 * [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))) 1545218126.099 * [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)))) 1545218126.099 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545218126.099 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545218126.099 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.099 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.099 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.099 * [misc]taylor: Taking taylor expansion of k in k 1545218126.099 * [misc]backup-simplify: Simplify 0 into 0 1545218126.099 * [misc]backup-simplify: Simplify 1 into 1 1545218126.100 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.100 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.100 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545218126.100 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545218126.100 * [misc]taylor: Taking taylor expansion of -2 in k 1545218126.100 * [misc]backup-simplify: Simplify -2 into -2 1545218126.100 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.100 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218126.100 * [misc]taylor: Taking taylor expansion of n in k 1545218126.100 * [misc]backup-simplify: Simplify n into n 1545218126.100 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218126.100 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.100 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.100 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218126.101 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545218126.101 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545218126.101 * [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)))) 1545218126.102 * [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)))) 1545218126.102 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545218126.105 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545218126.105 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.105 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218126.105 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.105 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.106 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545218126.107 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218126.107 * [misc]taylor: Taking taylor expansion of 0 in k 1545218126.107 * [misc]backup-simplify: Simplify 0 into 0 1545218126.107 * [misc]backup-simplify: Simplify 0 into 0 1545218126.107 * [misc]backup-simplify: Simplify 0 into 0 1545218126.108 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218126.112 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545218126.112 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218126.113 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218126.113 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.113 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.114 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545218126.116 * [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 1545218126.116 * [misc]taylor: Taking taylor expansion of 0 in k 1545218126.116 * [misc]backup-simplify: Simplify 0 into 0 1545218126.116 * [misc]backup-simplify: Simplify 0 into 0 1545218126.116 * [misc]backup-simplify: Simplify 0 into 0 1545218126.116 * [misc]backup-simplify: Simplify 0 into 0 1545218126.116 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218126.123 * [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 1545218126.123 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218126.124 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545218126.124 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.124 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.125 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545218126.129 * [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 1545218126.129 * [misc]taylor: Taking taylor expansion of 0 in k 1545218126.129 * [misc]backup-simplify: Simplify 0 into 0 1545218126.129 * [misc]backup-simplify: Simplify 0 into 0 1545218126.129 * [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))))) 1545218126.129 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1545218126.130 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545218126.130 * [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 1545218126.130 * [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 1545218126.130 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545218126.130 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545218126.130 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545218126.130 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545218126.130 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218126.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.130 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218126.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.130 * [misc]taylor: Taking taylor expansion of k in n 1545218126.130 * [misc]backup-simplify: Simplify k into k 1545218126.130 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218126.130 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218126.130 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.130 * [misc]backup-simplify: Simplify 2 into 2 1545218126.130 * [misc]taylor: Taking taylor expansion of n in n 1545218126.130 * [misc]backup-simplify: Simplify 0 into 0 1545218126.130 * [misc]backup-simplify: Simplify 1 into 1 1545218126.130 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218126.131 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218126.131 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.131 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218126.131 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218126.131 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218126.131 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.132 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545218126.132 * [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)))) 1545218126.132 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545218126.132 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545218126.132 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545218126.132 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218126.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.132 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218126.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.132 * [misc]taylor: Taking taylor expansion of k in n 1545218126.132 * [misc]backup-simplify: Simplify k into k 1545218126.132 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.132 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.132 * [misc]backup-simplify: Simplify PI into PI 1545218126.133 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.133 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218126.133 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218126.133 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218126.133 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545218126.134 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545218126.134 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545218126.134 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.134 * [misc]taylor: Taking taylor expansion of k in n 1545218126.134 * [misc]backup-simplify: Simplify k into k 1545218126.134 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.134 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545218126.134 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.134 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545218126.134 * [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 1545218126.134 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545218126.134 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218126.134 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218126.134 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218126.134 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218126.134 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.135 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218126.135 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.136 * [misc]taylor: Taking taylor expansion of k in k 1545218126.136 * [misc]backup-simplify: Simplify 0 into 0 1545218126.136 * [misc]backup-simplify: Simplify 1 into 1 1545218126.136 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218126.136 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218126.136 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.136 * [misc]backup-simplify: Simplify 2 into 2 1545218126.136 * [misc]taylor: Taking taylor expansion of n in k 1545218126.137 * [misc]backup-simplify: Simplify n into n 1545218126.137 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218126.137 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218126.137 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218126.137 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.137 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.137 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218126.138 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218126.138 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545218126.138 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545218126.138 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545218126.138 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218126.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.138 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218126.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.138 * [misc]taylor: Taking taylor expansion of k in k 1545218126.138 * [misc]backup-simplify: Simplify 0 into 0 1545218126.138 * [misc]backup-simplify: Simplify 1 into 1 1545218126.138 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.138 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.138 * [misc]backup-simplify: Simplify PI into PI 1545218126.138 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.139 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218126.139 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.139 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.139 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218126.140 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545218126.140 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218126.140 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.140 * [misc]taylor: Taking taylor expansion of k in k 1545218126.140 * [misc]backup-simplify: Simplify 0 into 0 1545218126.140 * [misc]backup-simplify: Simplify 1 into 1 1545218126.141 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.141 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.141 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.141 * [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 1545218126.141 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545218126.141 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218126.141 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218126.141 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218126.141 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218126.141 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.141 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218126.141 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.141 * [misc]taylor: Taking taylor expansion of k in k 1545218126.142 * [misc]backup-simplify: Simplify 0 into 0 1545218126.142 * [misc]backup-simplify: Simplify 1 into 1 1545218126.142 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218126.142 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218126.142 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.142 * [misc]backup-simplify: Simplify 2 into 2 1545218126.142 * [misc]taylor: Taking taylor expansion of n in k 1545218126.142 * [misc]backup-simplify: Simplify n into n 1545218126.142 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218126.142 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218126.142 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218126.142 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.142 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.142 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218126.142 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218126.143 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545218126.143 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545218126.143 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545218126.143 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218126.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.143 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218126.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.143 * [misc]taylor: Taking taylor expansion of k in k 1545218126.143 * [misc]backup-simplify: Simplify 0 into 0 1545218126.143 * [misc]backup-simplify: Simplify 1 into 1 1545218126.143 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.143 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.143 * [misc]backup-simplify: Simplify PI into PI 1545218126.143 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.143 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218126.143 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.144 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.144 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218126.145 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545218126.145 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218126.145 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.145 * [misc]taylor: Taking taylor expansion of k in k 1545218126.145 * [misc]backup-simplify: Simplify 0 into 0 1545218126.145 * [misc]backup-simplify: Simplify 1 into 1 1545218126.145 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.145 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.146 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.146 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545218126.146 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545218126.146 * [misc]taylor: Taking taylor expansion of 0 in n 1545218126.146 * [misc]backup-simplify: Simplify 0 into 0 1545218126.146 * [misc]backup-simplify: Simplify 0 into 0 1545218126.149 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218126.149 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218126.149 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.150 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.151 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545218126.154 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545218126.154 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545218126.155 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545218126.155 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218126.155 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.155 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.156 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545218126.156 * [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)))) 1545218126.158 * [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)))))) 1545218126.159 * [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))))) 1545218126.159 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545218126.159 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545218126.159 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.159 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.159 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545218126.159 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.159 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.159 * [misc]backup-simplify: Simplify 2 into 2 1545218126.159 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.160 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.160 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218126.160 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218126.160 * [misc]taylor: Taking taylor expansion of n in n 1545218126.160 * [misc]backup-simplify: Simplify 0 into 0 1545218126.160 * [misc]backup-simplify: Simplify 1 into 1 1545218126.160 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.160 * [misc]backup-simplify: Simplify PI into PI 1545218126.160 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218126.161 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218126.161 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.161 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.162 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545218126.162 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.162 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.162 * [misc]backup-simplify: Simplify 0 into 0 1545218126.162 * [misc]backup-simplify: Simplify 0 into 0 1545218126.162 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545218126.163 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218126.167 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545218126.168 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218126.168 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.168 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.169 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545218126.173 * [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))) 1545218126.174 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545218126.175 * [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 1545218126.175 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218126.176 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.176 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.176 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545218126.177 * [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))) 1545218126.181 * [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))))))) 1545218126.184 * [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))))))))) 1545218126.185 * [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 1545218126.185 * [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 1545218126.185 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545218126.185 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.185 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.185 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545218126.185 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545218126.185 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.185 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.185 * [misc]backup-simplify: Simplify 2 into 2 1545218126.185 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.185 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.185 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.185 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.185 * [misc]backup-simplify: Simplify PI into PI 1545218126.186 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.186 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218126.186 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218126.186 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.186 * [misc]backup-simplify: Simplify PI into PI 1545218126.186 * [misc]taylor: Taking taylor expansion of n in n 1545218126.186 * [misc]backup-simplify: Simplify 0 into 0 1545218126.186 * [misc]backup-simplify: Simplify 1 into 1 1545218126.186 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218126.187 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218126.187 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.187 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.187 * [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 1545218126.187 * [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 1545218126.187 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545218126.187 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.187 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.188 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545218126.188 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.188 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.188 * [misc]backup-simplify: Simplify 2 into 2 1545218126.188 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.188 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.188 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218126.188 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218126.188 * [misc]taylor: Taking taylor expansion of n in n 1545218126.188 * [misc]backup-simplify: Simplify 0 into 0 1545218126.188 * [misc]backup-simplify: Simplify 1 into 1 1545218126.188 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.188 * [misc]backup-simplify: Simplify PI into PI 1545218126.188 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218126.190 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218126.190 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.190 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.190 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545218126.190 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545218126.190 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.190 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.190 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545218126.190 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545218126.190 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.190 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.190 * [misc]backup-simplify: Simplify 2 into 2 1545218126.191 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.191 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.191 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218126.191 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218126.191 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.191 * [misc]backup-simplify: Simplify 2 into 2 1545218126.191 * [misc]taylor: Taking taylor expansion of n in n 1545218126.191 * [misc]backup-simplify: Simplify 0 into 0 1545218126.191 * [misc]backup-simplify: Simplify 1 into 1 1545218126.191 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218126.191 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218126.191 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.192 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218126.192 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218126.192 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.192 * [misc]backup-simplify: Simplify PI into PI 1545218126.192 * [misc]taylor: Taking taylor expansion of n in n 1545218126.192 * [misc]backup-simplify: Simplify 0 into 0 1545218126.192 * [misc]backup-simplify: Simplify 1 into 1 1545218126.192 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218126.193 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218126.193 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.193 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.194 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545218126.195 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545218126.195 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.195 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545218126.195 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.196 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.196 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545218126.197 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545218126.197 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.197 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.197 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.197 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.197 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.197 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.197 * [misc]backup-simplify: Simplify 0 into 0 1545218126.199 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218126.201 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218126.202 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218126.203 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218126.203 * [misc]backup-simplify: Simplify 0 into 0 1545218126.203 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218126.204 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218126.208 * [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 1545218126.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545218126.208 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.208 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.209 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545218126.213 * [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))) 1545218126.214 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545218126.215 * [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 1545218126.215 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545218126.215 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.216 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545218126.217 * [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))) 1545218126.220 * [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))))))))) 1545218126.225 * [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))))))))))))))) 1545218126.225 * [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 1545218126.225 * [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 1545218126.226 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545218126.226 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.226 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.226 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545218126.226 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545218126.226 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.226 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.226 * [misc]backup-simplify: Simplify 2 into 2 1545218126.226 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.226 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.226 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.226 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.226 * [misc]backup-simplify: Simplify PI into PI 1545218126.226 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.226 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218126.226 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218126.226 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.226 * [misc]backup-simplify: Simplify PI into PI 1545218126.226 * [misc]taylor: Taking taylor expansion of n in n 1545218126.226 * [misc]backup-simplify: Simplify 0 into 0 1545218126.226 * [misc]backup-simplify: Simplify 1 into 1 1545218126.227 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218126.227 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218126.227 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.227 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.227 * [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 1545218126.227 * [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 1545218126.227 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545218126.227 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.227 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.228 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545218126.228 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545218126.228 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.228 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.228 * [misc]backup-simplify: Simplify 2 into 2 1545218126.228 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.228 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.228 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545218126.228 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.228 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.228 * [misc]backup-simplify: Simplify PI into PI 1545218126.228 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.228 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218126.228 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218126.228 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.228 * [misc]backup-simplify: Simplify PI into PI 1545218126.228 * [misc]taylor: Taking taylor expansion of n in n 1545218126.228 * [misc]backup-simplify: Simplify 0 into 0 1545218126.228 * [misc]backup-simplify: Simplify 1 into 1 1545218126.228 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218126.229 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218126.229 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.229 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.229 * [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 1545218126.229 * [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 1545218126.229 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545218126.229 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.229 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.229 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545218126.229 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545218126.229 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.229 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.229 * [misc]backup-simplify: Simplify 2 into 2 1545218126.230 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.230 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.230 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545218126.230 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218126.230 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218126.230 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.230 * [misc]backup-simplify: Simplify 2 into 2 1545218126.230 * [misc]taylor: Taking taylor expansion of n in n 1545218126.230 * [misc]backup-simplify: Simplify 0 into 0 1545218126.230 * [misc]backup-simplify: Simplify 1 into 1 1545218126.230 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218126.230 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218126.230 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.230 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.230 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218126.230 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218126.230 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.230 * [misc]backup-simplify: Simplify PI into PI 1545218126.231 * [misc]taylor: Taking taylor expansion of n in n 1545218126.231 * [misc]backup-simplify: Simplify 0 into 0 1545218126.231 * [misc]backup-simplify: Simplify 1 into 1 1545218126.231 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218126.231 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218126.231 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.232 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.232 * [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 1545218126.232 * [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 1545218126.232 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545218126.232 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.232 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.232 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545218126.232 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545218126.232 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.232 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.232 * [misc]backup-simplify: Simplify 2 into 2 1545218126.232 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.232 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.232 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545218126.232 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218126.232 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218126.232 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.232 * [misc]backup-simplify: Simplify 2 into 2 1545218126.232 * [misc]taylor: Taking taylor expansion of n in n 1545218126.232 * [misc]backup-simplify: Simplify 0 into 0 1545218126.232 * [misc]backup-simplify: Simplify 1 into 1 1545218126.232 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218126.232 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218126.232 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.232 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.232 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.233 * [misc]backup-simplify: Simplify PI into PI 1545218126.233 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.233 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218126.233 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218126.233 * [misc]taylor: Taking taylor expansion of n in n 1545218126.233 * [misc]backup-simplify: Simplify 0 into 0 1545218126.233 * [misc]backup-simplify: Simplify 1 into 1 1545218126.233 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.233 * [misc]backup-simplify: Simplify PI into PI 1545218126.233 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218126.233 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218126.233 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.234 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.234 * [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 1545218126.234 * [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 1545218126.234 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545218126.234 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.234 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.234 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545218126.234 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.234 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.234 * [misc]backup-simplify: Simplify 2 into 2 1545218126.234 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.234 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.234 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218126.234 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218126.234 * [misc]taylor: Taking taylor expansion of n in n 1545218126.234 * [misc]backup-simplify: Simplify 0 into 0 1545218126.234 * [misc]backup-simplify: Simplify 1 into 1 1545218126.234 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.234 * [misc]backup-simplify: Simplify PI into PI 1545218126.234 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218126.235 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218126.235 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.235 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.235 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545218126.235 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545218126.235 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.235 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.235 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545218126.235 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545218126.235 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.235 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.235 * [misc]backup-simplify: Simplify 2 into 2 1545218126.235 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.236 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.236 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218126.236 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218126.236 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.236 * [misc]backup-simplify: Simplify 2 into 2 1545218126.236 * [misc]taylor: Taking taylor expansion of n in n 1545218126.236 * [misc]backup-simplify: Simplify 0 into 0 1545218126.236 * [misc]backup-simplify: Simplify 1 into 1 1545218126.236 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218126.236 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218126.236 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.236 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218126.236 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218126.236 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.236 * [misc]backup-simplify: Simplify PI into PI 1545218126.236 * [misc]taylor: Taking taylor expansion of n in n 1545218126.236 * [misc]backup-simplify: Simplify 0 into 0 1545218126.236 * [misc]backup-simplify: Simplify 1 into 1 1545218126.236 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218126.237 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218126.237 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.237 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218126.237 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545218126.238 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545218126.238 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.239 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545218126.239 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545218126.240 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545218126.240 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.240 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.241 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.241 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545218126.241 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545218126.241 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545218126.242 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.242 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.242 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545218126.242 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545218126.243 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545218126.243 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.243 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545218126.243 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.243 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.244 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545218126.244 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545218126.244 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218126.244 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.244 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.244 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.245 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.245 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.245 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.245 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.245 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.245 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.245 * [misc]backup-simplify: Simplify 0 into 0 1545218126.247 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218126.247 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545218126.248 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545218126.250 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545218126.250 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218126.252 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218126.252 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545218126.254 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218126.254 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.255 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545218126.256 * [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)))))) 1545218126.258 * [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)))))) 1545218126.259 * [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)))))) 1545218126.262 * [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))))))) 1545218126.267 * [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))))))) 1545218126.270 * [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))))))))) 1545218126.274 * [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))))))))) 1545218126.277 * [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))))))))) 1545218126.278 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218126.279 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545218126.280 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545218126.281 * [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)))) 1545218126.284 * [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)))) 1545218126.285 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545218126.285 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545218126.291 * [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))))))))))))))) 1545218126.292 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2))))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545218126.292 * [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 1545218126.292 * [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 1545218126.292 * [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 1545218126.292 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.292 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545218126.292 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545218126.292 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.292 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.292 * [misc]taylor: Taking taylor expansion of k in n 1545218126.292 * [misc]backup-simplify: Simplify k into k 1545218126.292 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.292 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.292 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.292 * [misc]backup-simplify: Simplify PI into PI 1545218126.292 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.292 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.292 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.292 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.293 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545218126.293 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.293 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.293 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.293 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.293 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.293 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.293 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.293 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.293 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.293 * [misc]taylor: Taking taylor expansion of k in n 1545218126.293 * [misc]backup-simplify: Simplify k into k 1545218126.293 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.293 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.293 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.293 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.293 * [misc]backup-simplify: Simplify 2 into 2 1545218126.293 * [misc]taylor: Taking taylor expansion of n in n 1545218126.293 * [misc]backup-simplify: Simplify 0 into 0 1545218126.293 * [misc]backup-simplify: Simplify 1 into 1 1545218126.293 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.293 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.293 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.293 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.294 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.294 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.294 * [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))) 1545218126.294 * [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)))) 1545218126.294 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545218126.294 * [misc]taylor: Taking taylor expansion of k in n 1545218126.294 * [misc]backup-simplify: Simplify k into k 1545218126.294 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545218126.294 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545218126.294 * [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 1545218126.294 * [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 1545218126.294 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218126.294 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545218126.294 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545218126.294 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.294 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.294 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.294 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.295 * [misc]taylor: Taking taylor expansion of k in k 1545218126.295 * [misc]backup-simplify: Simplify 0 into 0 1545218126.295 * [misc]backup-simplify: Simplify 1 into 1 1545218126.295 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.295 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.295 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.295 * [misc]backup-simplify: Simplify PI into PI 1545218126.295 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.295 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.295 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.295 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.296 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545218126.296 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.296 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218126.296 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218126.296 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218126.296 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.296 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.296 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.296 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.296 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.296 * [misc]taylor: Taking taylor expansion of k in k 1545218126.296 * [misc]backup-simplify: Simplify 0 into 0 1545218126.296 * [misc]backup-simplify: Simplify 1 into 1 1545218126.297 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.297 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218126.297 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218126.297 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.297 * [misc]backup-simplify: Simplify 2 into 2 1545218126.297 * [misc]taylor: Taking taylor expansion of n in k 1545218126.297 * [misc]backup-simplify: Simplify n into n 1545218126.297 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218126.297 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218126.297 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.297 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.297 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.297 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218126.298 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.298 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218126.298 * [misc]taylor: Taking taylor expansion of k in k 1545218126.298 * [misc]backup-simplify: Simplify 0 into 0 1545218126.298 * [misc]backup-simplify: Simplify 1 into 1 1545218126.298 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.298 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.298 * [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 1545218126.298 * [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 1545218126.298 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218126.298 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545218126.298 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545218126.298 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.299 * [misc]taylor: Taking taylor expansion of k in k 1545218126.299 * [misc]backup-simplify: Simplify 0 into 0 1545218126.299 * [misc]backup-simplify: Simplify 1 into 1 1545218126.299 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.299 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.299 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.299 * [misc]backup-simplify: Simplify PI into PI 1545218126.299 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.299 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.300 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.300 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.300 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545218126.300 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.300 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218126.301 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218126.301 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218126.301 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.301 * [misc]taylor: Taking taylor expansion of k in k 1545218126.301 * [misc]backup-simplify: Simplify 0 into 0 1545218126.301 * [misc]backup-simplify: Simplify 1 into 1 1545218126.301 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.301 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218126.301 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218126.301 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.301 * [misc]backup-simplify: Simplify 2 into 2 1545218126.301 * [misc]taylor: Taking taylor expansion of n in k 1545218126.301 * [misc]backup-simplify: Simplify n into n 1545218126.301 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218126.301 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218126.301 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.302 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.302 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.302 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218126.302 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.302 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218126.302 * [misc]taylor: Taking taylor expansion of k in k 1545218126.302 * [misc]backup-simplify: Simplify 0 into 0 1545218126.302 * [misc]backup-simplify: Simplify 1 into 1 1545218126.302 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.303 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.303 * [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))))) 1545218126.303 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545218126.303 * [misc]taylor: Taking taylor expansion of 0 in n 1545218126.303 * [misc]backup-simplify: Simplify 0 into 0 1545218126.303 * [misc]backup-simplify: Simplify 0 into 0 1545218126.304 * [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 1545218126.304 * [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))))))) 1545218126.304 * [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 1545218126.304 * [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 1545218126.304 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.304 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.304 * [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 1545218126.304 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.304 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545218126.304 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545218126.304 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.305 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.305 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.305 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.305 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.305 * [misc]taylor: Taking taylor expansion of k in n 1545218126.305 * [misc]backup-simplify: Simplify k into k 1545218126.305 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.305 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.305 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.305 * [misc]backup-simplify: Simplify PI into PI 1545218126.305 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.305 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.305 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.305 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.306 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545218126.306 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.306 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.306 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.306 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.306 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.306 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.306 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.306 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.306 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.306 * [misc]taylor: Taking taylor expansion of k in n 1545218126.306 * [misc]backup-simplify: Simplify k into k 1545218126.307 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.307 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.307 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.307 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.307 * [misc]backup-simplify: Simplify 2 into 2 1545218126.307 * [misc]taylor: Taking taylor expansion of n in n 1545218126.307 * [misc]backup-simplify: Simplify 0 into 0 1545218126.307 * [misc]backup-simplify: Simplify 1 into 1 1545218126.307 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.307 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.307 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.307 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.307 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.308 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.308 * [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))) 1545218126.308 * [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)))) 1545218126.309 * [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))))) 1545218126.309 * [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)))))) 1545218126.310 * [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))))))) 1545218126.310 * [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))))))) 1545218126.310 * [misc]backup-simplify: Simplify 0 into 0 1545218126.311 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218126.312 * [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 1545218126.312 * [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))))))) 1545218126.312 * [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 1545218126.312 * [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 1545218126.312 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.312 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.312 * [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 1545218126.312 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.312 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545218126.312 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545218126.312 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.312 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.312 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.312 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.312 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.312 * [misc]taylor: Taking taylor expansion of k in n 1545218126.312 * [misc]backup-simplify: Simplify k into k 1545218126.312 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.312 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.312 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.312 * [misc]backup-simplify: Simplify PI into PI 1545218126.312 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.312 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.313 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.313 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.313 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545218126.313 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.313 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.313 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.313 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.313 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.313 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.313 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.313 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.313 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.313 * [misc]taylor: Taking taylor expansion of k in n 1545218126.313 * [misc]backup-simplify: Simplify k into k 1545218126.313 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.313 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.313 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.313 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.313 * [misc]backup-simplify: Simplify 2 into 2 1545218126.313 * [misc]taylor: Taking taylor expansion of n in n 1545218126.313 * [misc]backup-simplify: Simplify 0 into 0 1545218126.313 * [misc]backup-simplify: Simplify 1 into 1 1545218126.314 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.314 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.314 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.314 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.314 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.314 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.314 * [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))) 1545218126.314 * [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)))) 1545218126.315 * [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))))) 1545218126.315 * [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)))))) 1545218126.315 * [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))))))) 1545218126.316 * [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))))))) 1545218126.316 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545218126.317 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218126.317 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.317 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218126.317 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.318 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.318 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545218126.319 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218126.320 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218126.320 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.320 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218126.320 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.321 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545218126.322 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218126.322 * [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 1545218126.323 * [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 1545218126.323 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.323 * [misc]backup-simplify: Simplify 0 into 0 1545218126.323 * [misc]backup-simplify: Simplify 0 into 0 1545218126.323 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218126.324 * [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 1545218126.324 * [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))))))) 1545218126.324 * [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 1545218126.324 * [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 1545218126.324 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.324 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.324 * [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 1545218126.324 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.324 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545218126.324 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545218126.324 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.324 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.324 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.324 * [misc]taylor: Taking taylor expansion of k in n 1545218126.324 * [misc]backup-simplify: Simplify k into k 1545218126.324 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.325 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.325 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.325 * [misc]backup-simplify: Simplify PI into PI 1545218126.325 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.325 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.325 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.325 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.325 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545218126.325 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.325 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.325 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.325 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.325 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.325 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.325 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.325 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.326 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.326 * [misc]taylor: Taking taylor expansion of k in n 1545218126.326 * [misc]backup-simplify: Simplify k into k 1545218126.326 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.326 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.326 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.326 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.326 * [misc]backup-simplify: Simplify 2 into 2 1545218126.326 * [misc]taylor: Taking taylor expansion of n in n 1545218126.326 * [misc]backup-simplify: Simplify 0 into 0 1545218126.326 * [misc]backup-simplify: Simplify 1 into 1 1545218126.326 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.326 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.326 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.326 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.326 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.326 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.326 * [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))) 1545218126.327 * [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)))) 1545218126.327 * [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))))) 1545218126.327 * [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)))))) 1545218126.328 * [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))))))) 1545218126.328 * [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))))))) 1545218126.329 * [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)))))))) 1545218126.329 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545218126.329 * [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 1545218126.329 * [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 1545218126.330 * [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 1545218126.330 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.330 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.330 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.330 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.330 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.330 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.330 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.330 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.330 * [misc]taylor: Taking taylor expansion of k in n 1545218126.330 * [misc]backup-simplify: Simplify k into k 1545218126.330 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.330 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.330 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.330 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.330 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.330 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.330 * [misc]backup-simplify: Simplify -2 into -2 1545218126.330 * [misc]taylor: Taking taylor expansion of n in n 1545218126.330 * [misc]backup-simplify: Simplify 0 into 0 1545218126.330 * [misc]backup-simplify: Simplify 1 into 1 1545218126.330 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.330 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.330 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.330 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.330 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.331 * [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))) 1545218126.331 * [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)))) 1545218126.331 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.331 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545218126.331 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545218126.331 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.331 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.331 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.331 * [misc]taylor: Taking taylor expansion of k in n 1545218126.331 * [misc]backup-simplify: Simplify k into k 1545218126.331 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.331 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.331 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.331 * [misc]backup-simplify: Simplify PI into PI 1545218126.331 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.331 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.332 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.332 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545218126.332 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.332 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545218126.332 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545218126.332 * [misc]taylor: Taking taylor expansion of -1 in n 1545218126.332 * [misc]backup-simplify: Simplify -1 into -1 1545218126.332 * [misc]taylor: Taking taylor expansion of k in n 1545218126.332 * [misc]backup-simplify: Simplify k into k 1545218126.332 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545218126.332 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545218126.332 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545218126.332 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545218126.333 * [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))) 1545218126.333 * [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))) 1545218126.333 * [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 1545218126.333 * [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 1545218126.333 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218126.333 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218126.333 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218126.333 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.333 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.333 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.333 * [misc]taylor: Taking taylor expansion of k in k 1545218126.333 * [misc]backup-simplify: Simplify 0 into 0 1545218126.333 * [misc]backup-simplify: Simplify 1 into 1 1545218126.333 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.333 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218126.333 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218126.333 * [misc]taylor: Taking taylor expansion of -2 in k 1545218126.333 * [misc]backup-simplify: Simplify -2 into -2 1545218126.333 * [misc]taylor: Taking taylor expansion of n in k 1545218126.333 * [misc]backup-simplify: Simplify n into n 1545218126.333 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218126.333 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218126.334 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.334 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.334 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218126.334 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.334 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218126.334 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545218126.334 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545218126.334 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.334 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.334 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.334 * [misc]taylor: Taking taylor expansion of k in k 1545218126.334 * [misc]backup-simplify: Simplify 0 into 0 1545218126.334 * [misc]backup-simplify: Simplify 1 into 1 1545218126.334 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.334 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.334 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.334 * [misc]backup-simplify: Simplify PI into PI 1545218126.334 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.334 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.335 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.335 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218126.335 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.335 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218126.335 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218126.335 * [misc]taylor: Taking taylor expansion of -1 in k 1545218126.335 * [misc]backup-simplify: Simplify -1 into -1 1545218126.335 * [misc]taylor: Taking taylor expansion of k in k 1545218126.335 * [misc]backup-simplify: Simplify 0 into 0 1545218126.335 * [misc]backup-simplify: Simplify 1 into 1 1545218126.335 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218126.335 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.336 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218126.336 * [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))) 1545218126.336 * [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)))) 1545218126.336 * [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 1545218126.336 * [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 1545218126.336 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218126.336 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218126.336 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218126.336 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.336 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.336 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.336 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.336 * [misc]taylor: Taking taylor expansion of k in k 1545218126.336 * [misc]backup-simplify: Simplify 0 into 0 1545218126.336 * [misc]backup-simplify: Simplify 1 into 1 1545218126.336 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.336 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.336 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218126.336 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218126.336 * [misc]taylor: Taking taylor expansion of -2 in k 1545218126.336 * [misc]backup-simplify: Simplify -2 into -2 1545218126.336 * [misc]taylor: Taking taylor expansion of n in k 1545218126.336 * [misc]backup-simplify: Simplify n into n 1545218126.337 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218126.337 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218126.337 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.337 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.337 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218126.337 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.337 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218126.337 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545218126.337 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545218126.337 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.337 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.337 * [misc]taylor: Taking taylor expansion of k in k 1545218126.337 * [misc]backup-simplify: Simplify 0 into 0 1545218126.337 * [misc]backup-simplify: Simplify 1 into 1 1545218126.337 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.337 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218126.337 * [misc]taylor: Taking taylor expansion of PI in k 1545218126.337 * [misc]backup-simplify: Simplify PI into PI 1545218126.337 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.338 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.338 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.338 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218126.338 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.338 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218126.338 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218126.338 * [misc]taylor: Taking taylor expansion of -1 in k 1545218126.338 * [misc]backup-simplify: Simplify -1 into -1 1545218126.338 * [misc]taylor: Taking taylor expansion of k in k 1545218126.338 * [misc]backup-simplify: Simplify 0 into 0 1545218126.338 * [misc]backup-simplify: Simplify 1 into 1 1545218126.338 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218126.339 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.339 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218126.339 * [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))) 1545218126.339 * [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)))) 1545218126.339 * [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 1545218126.339 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.339 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.339 * [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 1545218126.339 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.339 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.339 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.339 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.339 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.340 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.340 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.340 * [misc]taylor: Taking taylor expansion of k in n 1545218126.340 * [misc]backup-simplify: Simplify k into k 1545218126.340 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.340 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.340 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.340 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.340 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.340 * [misc]backup-simplify: Simplify -2 into -2 1545218126.340 * [misc]taylor: Taking taylor expansion of n in n 1545218126.340 * [misc]backup-simplify: Simplify 0 into 0 1545218126.340 * [misc]backup-simplify: Simplify 1 into 1 1545218126.340 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.340 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.340 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.340 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.341 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.341 * [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))) 1545218126.341 * [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)))) 1545218126.341 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.342 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545218126.342 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545218126.342 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.342 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.342 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.342 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.342 * [misc]taylor: Taking taylor expansion of k in n 1545218126.342 * [misc]backup-simplify: Simplify k into k 1545218126.342 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.342 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.342 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.342 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.342 * [misc]backup-simplify: Simplify PI into PI 1545218126.342 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.342 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.342 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.343 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545218126.343 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.344 * [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))) 1545218126.344 * [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)))) 1545218126.345 * [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)))) 1545218126.345 * [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 1545218126.345 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545218126.347 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218126.347 * [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))))) 1545218126.348 * [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 1545218126.348 * [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 1545218126.348 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.348 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.348 * [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 1545218126.348 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.348 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.348 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.348 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.348 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.348 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.348 * [misc]taylor: Taking taylor expansion of k in n 1545218126.348 * [misc]backup-simplify: Simplify k into k 1545218126.348 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.348 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.348 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.348 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.348 * [misc]backup-simplify: Simplify -2 into -2 1545218126.348 * [misc]taylor: Taking taylor expansion of n in n 1545218126.348 * [misc]backup-simplify: Simplify 0 into 0 1545218126.348 * [misc]backup-simplify: Simplify 1 into 1 1545218126.349 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.349 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.349 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.349 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.349 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.350 * [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))) 1545218126.350 * [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)))) 1545218126.350 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.350 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545218126.350 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545218126.350 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.350 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.350 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.350 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.350 * [misc]taylor: Taking taylor expansion of k in n 1545218126.350 * [misc]backup-simplify: Simplify k into k 1545218126.350 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.350 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.350 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.350 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.350 * [misc]backup-simplify: Simplify PI into PI 1545218126.351 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.351 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.351 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.351 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545218126.352 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.352 * [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))) 1545218126.352 * [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)))) 1545218126.353 * [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))))) 1545218126.353 * [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))))) 1545218126.356 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218126.356 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.356 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218126.356 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.357 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545218126.358 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218126.359 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545218126.361 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545218126.361 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.361 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218126.361 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.362 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.362 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545218126.363 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218126.364 * [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 1545218126.365 * [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 1545218126.365 * [misc]backup-simplify: Simplify 0 into 0 1545218126.365 * [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 1545218126.365 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218126.367 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218126.368 * [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))))) 1545218126.368 * [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 1545218126.368 * [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 1545218126.368 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.368 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.368 * [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 1545218126.368 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.368 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.368 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.368 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.368 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.368 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.368 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.368 * [misc]taylor: Taking taylor expansion of k in n 1545218126.368 * [misc]backup-simplify: Simplify k into k 1545218126.368 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.368 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.368 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.368 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.368 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.368 * [misc]backup-simplify: Simplify -2 into -2 1545218126.368 * [misc]taylor: Taking taylor expansion of n in n 1545218126.368 * [misc]backup-simplify: Simplify 0 into 0 1545218126.369 * [misc]backup-simplify: Simplify 1 into 1 1545218126.369 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.369 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.369 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.369 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.369 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.370 * [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))) 1545218126.370 * [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)))) 1545218126.370 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.370 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545218126.370 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545218126.370 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.370 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.370 * [misc]taylor: Taking taylor expansion of k in n 1545218126.370 * [misc]backup-simplify: Simplify k into k 1545218126.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.371 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218126.371 * [misc]taylor: Taking taylor expansion of PI in n 1545218126.371 * [misc]backup-simplify: Simplify PI into PI 1545218126.371 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218126.371 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.371 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.371 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545218126.372 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.372 * [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))) 1545218126.373 * [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)))) 1545218126.373 * [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))))) 1545218126.374 * [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))))) 1545218126.376 * [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)))))))) 1545218126.376 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545218126.376 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545218126.376 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545218126.376 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545218126.376 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1545218126.376 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545218126.376 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545218126.376 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545218126.376 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218126.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.377 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218126.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.377 * [misc]taylor: Taking taylor expansion of k in n 1545218126.377 * [misc]backup-simplify: Simplify k into k 1545218126.377 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218126.377 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218126.377 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.377 * [misc]backup-simplify: Simplify 2 into 2 1545218126.377 * [misc]taylor: Taking taylor expansion of n in n 1545218126.377 * [misc]backup-simplify: Simplify 0 into 0 1545218126.377 * [misc]backup-simplify: Simplify 1 into 1 1545218126.377 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218126.377 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218126.377 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.377 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218126.378 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218126.378 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218126.378 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.378 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545218126.379 * [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)))) 1545218126.379 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1545218126.379 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545218126.379 * [misc]taylor: Taking taylor expansion of k in n 1545218126.379 * [misc]backup-simplify: Simplify k into k 1545218126.379 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545218126.379 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545218126.379 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545218126.379 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545218126.379 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218126.379 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218126.379 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218126.379 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218126.379 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.379 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218126.379 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.379 * [misc]taylor: Taking taylor expansion of k in k 1545218126.379 * [misc]backup-simplify: Simplify 0 into 0 1545218126.379 * [misc]backup-simplify: Simplify 1 into 1 1545218126.380 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218126.380 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218126.380 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.380 * [misc]backup-simplify: Simplify 2 into 2 1545218126.380 * [misc]taylor: Taking taylor expansion of n in k 1545218126.380 * [misc]backup-simplify: Simplify n into n 1545218126.380 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218126.380 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218126.380 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218126.380 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.380 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.380 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218126.380 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218126.381 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545218126.381 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218126.381 * [misc]taylor: Taking taylor expansion of k in k 1545218126.381 * [misc]backup-simplify: Simplify 0 into 0 1545218126.381 * [misc]backup-simplify: Simplify 1 into 1 1545218126.381 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.381 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.381 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545218126.381 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545218126.382 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218126.382 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218126.382 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218126.382 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218126.382 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.382 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218126.382 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.382 * [misc]taylor: Taking taylor expansion of k in k 1545218126.382 * [misc]backup-simplify: Simplify 0 into 0 1545218126.382 * [misc]backup-simplify: Simplify 1 into 1 1545218126.382 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218126.382 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218126.382 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.382 * [misc]backup-simplify: Simplify 2 into 2 1545218126.382 * [misc]taylor: Taking taylor expansion of n in k 1545218126.382 * [misc]backup-simplify: Simplify n into n 1545218126.382 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218126.382 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218126.382 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218126.382 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.383 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.383 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218126.383 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218126.383 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545218126.383 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218126.383 * [misc]taylor: Taking taylor expansion of k in k 1545218126.383 * [misc]backup-simplify: Simplify 0 into 0 1545218126.383 * [misc]backup-simplify: Simplify 1 into 1 1545218126.383 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.384 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.384 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1545218126.384 * [misc]taylor: Taking taylor expansion of 0 in n 1545218126.384 * [misc]backup-simplify: Simplify 0 into 0 1545218126.384 * [misc]backup-simplify: Simplify 0 into 0 1545218126.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545218126.385 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545218126.385 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218126.385 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.385 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.386 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545218126.387 * [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)))) 1545218126.387 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1545218126.388 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1545218126.388 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545218126.388 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545218126.389 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.389 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.389 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545218126.389 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545218126.389 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545218126.389 * [misc]taylor: Taking taylor expansion of n in n 1545218126.389 * [misc]backup-simplify: Simplify 0 into 0 1545218126.389 * [misc]backup-simplify: Simplify 1 into 1 1545218126.389 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.389 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.389 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.389 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545218126.390 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.390 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545218126.390 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545218126.391 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545218126.391 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545218126.392 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545218126.393 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545218126.393 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545218126.393 * [misc]backup-simplify: Simplify 0 into 0 1545218126.394 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218126.395 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545218126.396 * [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 1545218126.397 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218126.397 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.397 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.397 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545218126.398 * [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))) 1545218126.400 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1545218126.402 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1545218126.402 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1545218126.402 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1545218126.402 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1545218126.402 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.402 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.402 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1545218126.402 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1545218126.402 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218126.402 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.402 * [misc]backup-simplify: Simplify 2 into 2 1545218126.402 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218126.402 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218126.402 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1545218126.402 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218126.402 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218126.402 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.403 * [misc]backup-simplify: Simplify 2 into 2 1545218126.403 * [misc]taylor: Taking taylor expansion of n in n 1545218126.403 * [misc]backup-simplify: Simplify 0 into 0 1545218126.403 * [misc]backup-simplify: Simplify 1 into 1 1545218126.403 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218126.403 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218126.403 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.403 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545218126.403 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545218126.403 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.403 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545218126.403 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545218126.403 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545218126.403 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545218126.403 * [misc]taylor: Taking taylor expansion of n in n 1545218126.403 * [misc]backup-simplify: Simplify 0 into 0 1545218126.403 * [misc]backup-simplify: Simplify 1 into 1 1545218126.403 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.404 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.404 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.404 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545218126.404 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545218126.404 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.404 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.404 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545218126.404 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545218126.404 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545218126.404 * [misc]taylor: Taking taylor expansion of n in n 1545218126.404 * [misc]backup-simplify: Simplify 0 into 0 1545218126.404 * [misc]backup-simplify: Simplify 1 into 1 1545218126.404 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.404 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.405 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.405 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545218126.405 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.405 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545218126.405 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545218126.405 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.405 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545218126.406 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1545218126.406 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1545218126.406 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218126.407 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545218126.407 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545218126.408 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218126.409 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545218126.409 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1545218126.410 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545218126.411 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1545218126.412 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545218126.413 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545218126.413 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545218126.414 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545218126.414 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545218126.416 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1545218126.418 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545218126.420 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545218126.421 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545218126.421 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545218126.422 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218126.423 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545218126.424 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1545218126.424 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545218126.424 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545218126.427 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545218126.428 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545218126.428 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545218126.428 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.428 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.428 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of k in n 1545218126.428 * [misc]backup-simplify: Simplify k into k 1545218126.428 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.428 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.428 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.428 * [misc]backup-simplify: Simplify 2 into 2 1545218126.428 * [misc]taylor: Taking taylor expansion of n in n 1545218126.428 * [misc]backup-simplify: Simplify 0 into 0 1545218126.428 * [misc]backup-simplify: Simplify 1 into 1 1545218126.428 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.428 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.428 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.428 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.428 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.429 * [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))) 1545218126.429 * [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)))) 1545218126.429 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218126.429 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545218126.429 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.429 * [misc]taylor: Taking taylor expansion of k in n 1545218126.429 * [misc]backup-simplify: Simplify k into k 1545218126.429 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.429 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545218126.430 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.430 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545218126.430 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.430 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of k in k 1545218126.430 * [misc]backup-simplify: Simplify 0 into 0 1545218126.430 * [misc]backup-simplify: Simplify 1 into 1 1545218126.430 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.430 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218126.430 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.430 * [misc]backup-simplify: Simplify 2 into 2 1545218126.430 * [misc]taylor: Taking taylor expansion of n in k 1545218126.430 * [misc]backup-simplify: Simplify n into n 1545218126.430 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218126.430 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218126.430 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.430 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.430 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.431 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218126.431 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.431 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545218126.431 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218126.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.431 * [misc]taylor: Taking taylor expansion of k in k 1545218126.431 * [misc]backup-simplify: Simplify 0 into 0 1545218126.431 * [misc]backup-simplify: Simplify 1 into 1 1545218126.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.431 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.431 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.431 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545218126.431 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545218126.431 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218126.432 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218126.432 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218126.432 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218126.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.432 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.432 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.432 * [misc]taylor: Taking taylor expansion of k in k 1545218126.432 * [misc]backup-simplify: Simplify 0 into 0 1545218126.432 * [misc]backup-simplify: Simplify 1 into 1 1545218126.432 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.432 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218126.432 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218126.432 * [misc]taylor: Taking taylor expansion of 2 in k 1545218126.432 * [misc]backup-simplify: Simplify 2 into 2 1545218126.432 * [misc]taylor: Taking taylor expansion of n in k 1545218126.432 * [misc]backup-simplify: Simplify n into n 1545218126.432 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218126.432 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218126.432 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.432 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218126.432 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218126.432 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218126.432 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218126.433 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545218126.433 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218126.433 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.433 * [misc]taylor: Taking taylor expansion of k in k 1545218126.433 * [misc]backup-simplify: Simplify 0 into 0 1545218126.433 * [misc]backup-simplify: Simplify 1 into 1 1545218126.433 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.433 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.433 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218126.433 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545218126.433 * [misc]taylor: Taking taylor expansion of 0 in n 1545218126.433 * [misc]backup-simplify: Simplify 0 into 0 1545218126.433 * [misc]backup-simplify: Simplify 0 into 0 1545218126.434 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545218126.434 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545218126.434 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.434 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.434 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.434 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.434 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of k in n 1545218126.434 * [misc]backup-simplify: Simplify k into k 1545218126.434 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.434 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.434 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.434 * [misc]backup-simplify: Simplify 2 into 2 1545218126.434 * [misc]taylor: Taking taylor expansion of n in n 1545218126.434 * [misc]backup-simplify: Simplify 0 into 0 1545218126.434 * [misc]backup-simplify: Simplify 1 into 1 1545218126.434 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.434 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.434 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.435 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.435 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.435 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.435 * [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))) 1545218126.435 * [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)))) 1545218126.435 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218126.436 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218126.436 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218126.436 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218126.436 * [misc]backup-simplify: Simplify 0 into 0 1545218126.436 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545218126.437 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218126.437 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545218126.438 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545218126.438 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.438 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.438 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.438 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.438 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.438 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.438 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of k in n 1545218126.438 * [misc]backup-simplify: Simplify k into k 1545218126.438 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.438 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.438 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.438 * [misc]backup-simplify: Simplify 2 into 2 1545218126.438 * [misc]taylor: Taking taylor expansion of n in n 1545218126.438 * [misc]backup-simplify: Simplify 0 into 0 1545218126.438 * [misc]backup-simplify: Simplify 1 into 1 1545218126.438 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.438 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.438 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.438 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.438 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.439 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.439 * [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))) 1545218126.439 * [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)))) 1545218126.439 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218126.439 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218126.440 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218126.440 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218126.440 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545218126.442 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218126.442 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.442 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218126.442 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.442 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.442 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.442 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545218126.443 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218126.444 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545218126.444 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545218126.444 * [misc]backup-simplify: Simplify (- 0) into 0 1545218126.444 * [misc]backup-simplify: Simplify 0 into 0 1545218126.444 * [misc]backup-simplify: Simplify 0 into 0 1545218126.444 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218126.445 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218126.445 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545218126.446 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545218126.446 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.446 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.446 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.446 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.446 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of k in n 1545218126.446 * [misc]backup-simplify: Simplify k into k 1545218126.446 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.446 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218126.446 * [misc]taylor: Taking taylor expansion of 2 in n 1545218126.446 * [misc]backup-simplify: Simplify 2 into 2 1545218126.446 * [misc]taylor: Taking taylor expansion of n in n 1545218126.446 * [misc]backup-simplify: Simplify 0 into 0 1545218126.446 * [misc]backup-simplify: Simplify 1 into 1 1545218126.446 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218126.446 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218126.446 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.446 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218126.446 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218126.447 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218126.447 * [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))) 1545218126.447 * [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)))) 1545218126.447 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218126.447 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218126.448 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218126.448 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218126.449 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545218126.449 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545218126.449 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545218126.449 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218126.449 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545218126.449 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545218126.449 * [misc]taylor: Taking taylor expansion of -1 in n 1545218126.449 * [misc]backup-simplify: Simplify -1 into -1 1545218126.449 * [misc]taylor: Taking taylor expansion of k in n 1545218126.449 * [misc]backup-simplify: Simplify k into k 1545218126.449 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545218126.449 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545218126.449 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545218126.450 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545218126.450 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.450 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.450 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.450 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.450 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.450 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.450 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.450 * [misc]taylor: Taking taylor expansion of k in n 1545218126.450 * [misc]backup-simplify: Simplify k into k 1545218126.450 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.450 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.450 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.450 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.450 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.450 * [misc]backup-simplify: Simplify -2 into -2 1545218126.450 * [misc]taylor: Taking taylor expansion of n in n 1545218126.450 * [misc]backup-simplify: Simplify 0 into 0 1545218126.450 * [misc]backup-simplify: Simplify 1 into 1 1545218126.450 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.450 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.450 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.450 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.450 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.451 * [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))) 1545218126.451 * [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)))) 1545218126.451 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218126.451 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545218126.451 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218126.451 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218126.451 * [misc]taylor: Taking taylor expansion of -1 in k 1545218126.451 * [misc]backup-simplify: Simplify -1 into -1 1545218126.451 * [misc]taylor: Taking taylor expansion of k in k 1545218126.451 * [misc]backup-simplify: Simplify 0 into 0 1545218126.451 * [misc]backup-simplify: Simplify 1 into 1 1545218126.451 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218126.451 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.452 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218126.452 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218126.452 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218126.452 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218126.452 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.452 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.452 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.452 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.452 * [misc]taylor: Taking taylor expansion of k in k 1545218126.452 * [misc]backup-simplify: Simplify 0 into 0 1545218126.452 * [misc]backup-simplify: Simplify 1 into 1 1545218126.452 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.452 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.452 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218126.452 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218126.452 * [misc]taylor: Taking taylor expansion of -2 in k 1545218126.452 * [misc]backup-simplify: Simplify -2 into -2 1545218126.452 * [misc]taylor: Taking taylor expansion of n in k 1545218126.452 * [misc]backup-simplify: Simplify n into n 1545218126.452 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218126.452 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218126.452 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.453 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.453 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218126.453 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.453 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545218126.453 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545218126.453 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218126.453 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218126.453 * [misc]taylor: Taking taylor expansion of -1 in k 1545218126.453 * [misc]backup-simplify: Simplify -1 into -1 1545218126.453 * [misc]taylor: Taking taylor expansion of k in k 1545218126.453 * [misc]backup-simplify: Simplify 0 into 0 1545218126.453 * [misc]backup-simplify: Simplify 1 into 1 1545218126.453 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218126.453 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218126.453 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218126.453 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218126.454 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218126.454 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218126.454 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218126.454 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218126.454 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.454 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218126.454 * [misc]taylor: Taking taylor expansion of k in k 1545218126.454 * [misc]backup-simplify: Simplify 0 into 0 1545218126.454 * [misc]backup-simplify: Simplify 1 into 1 1545218126.454 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218126.454 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218126.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.454 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218126.454 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218126.454 * [misc]taylor: Taking taylor expansion of -2 in k 1545218126.454 * [misc]backup-simplify: Simplify -2 into -2 1545218126.454 * [misc]taylor: Taking taylor expansion of n in k 1545218126.454 * [misc]backup-simplify: Simplify n into n 1545218126.454 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218126.454 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218126.454 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218126.454 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218126.454 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218126.454 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218126.454 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545218126.455 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218126.455 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.455 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.455 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.455 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.455 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.455 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.455 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.455 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.455 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.455 * [misc]taylor: Taking taylor expansion of k in n 1545218126.455 * [misc]backup-simplify: Simplify k into k 1545218126.455 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.455 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.455 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.455 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.455 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.455 * [misc]backup-simplify: Simplify -2 into -2 1545218126.455 * [misc]taylor: Taking taylor expansion of n in n 1545218126.455 * [misc]backup-simplify: Simplify 0 into 0 1545218126.455 * [misc]backup-simplify: Simplify 1 into 1 1545218126.455 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.455 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.455 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.455 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.456 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.456 * [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))) 1545218126.456 * [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)))) 1545218126.456 * [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))))) 1545218126.456 * [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))))) 1545218126.457 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545218126.457 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218126.457 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545218126.457 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.458 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.458 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.458 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of k in n 1545218126.458 * [misc]backup-simplify: Simplify k into k 1545218126.458 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.458 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.458 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.458 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.458 * [misc]backup-simplify: Simplify -2 into -2 1545218126.458 * [misc]taylor: Taking taylor expansion of n in n 1545218126.458 * [misc]backup-simplify: Simplify 0 into 0 1545218126.458 * [misc]backup-simplify: Simplify 1 into 1 1545218126.458 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.458 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.458 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.458 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.458 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.459 * [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))) 1545218126.459 * [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)))) 1545218126.459 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218126.459 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218126.460 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545218126.460 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545218126.461 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545218126.463 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545218126.463 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218126.463 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218126.463 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218126.464 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.464 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545218126.465 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218126.466 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1545218126.467 * [misc]backup-simplify: Simplify 0 into 0 1545218126.467 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218126.468 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218126.469 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545218126.469 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545218126.469 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218126.469 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218126.469 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218126.469 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218126.469 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218126.469 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218126.469 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218126.469 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218126.469 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218126.469 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.469 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.469 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218126.469 * [misc]taylor: Taking taylor expansion of k in n 1545218126.469 * [misc]backup-simplify: Simplify k into k 1545218126.469 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218126.470 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218126.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218126.470 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218126.470 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218126.470 * [misc]taylor: Taking taylor expansion of -2 in n 1545218126.470 * [misc]backup-simplify: Simplify -2 into -2 1545218126.470 * [misc]taylor: Taking taylor expansion of n in n 1545218126.470 * [misc]backup-simplify: Simplify 0 into 0 1545218126.470 * [misc]backup-simplify: Simplify 1 into 1 1545218126.470 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218126.470 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218126.470 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218126.470 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218126.471 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218126.471 * [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))) 1545218126.471 * [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)))) 1545218126.472 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218126.472 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218126.472 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545218126.473 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545218126.474 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545218126.475 * * * [misc]progress: simplifying candidates 1545218126.475 * * * * [misc]progress: [ 1 / 266 ] simplifiying candidate # 1545218126.475 * * * * [misc]progress: [ 2 / 266 ] simplifiying candidate # 1545218126.475 * * * * [misc]progress: [ 3 / 266 ] simplifiying candidate # 1545218126.475 * * * * [misc]progress: [ 4 / 266 ] simplifiying candidate # 1545218126.475 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545218126.475 * * [misc]simplify: iters left: 3 (5 enodes) 1545218126.476 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545218126.476 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218126.476 * * * * [misc]progress: [ 5 / 266 ] simplifiying candidate # 1545218126.476 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545218126.476 * * [misc]simplify: iters left: 5 (6 enodes) 1545218126.477 * * [misc]simplify: iters left: 4 (8 enodes) 1545218126.478 * * [misc]simplify: iters left: 3 (11 enodes) 1545218126.480 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545218126.480 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218126.480 * * * * [misc]progress: [ 6 / 266 ] simplifiying candidate # 1545218126.480 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545218126.480 * * [misc]simplify: iters left: 5 (6 enodes) 1545218126.481 * * [misc]simplify: iters left: 4 (8 enodes) 1545218126.482 * * [misc]simplify: iters left: 3 (11 enodes) 1545218126.483 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545218126.483 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218126.483 * * * * [misc]progress: [ 7 / 266 ] simplifiying candidate # 1545218126.484 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545218126.484 * * [misc]simplify: iters left: 4 (5 enodes) 1545218126.484 * * [misc]simplify: iters left: 3 (7 enodes) 1545218126.485 * * [misc]simplify: iters left: 2 (10 enodes) 1545218126.487 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545218126.487 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218126.487 * * * * [misc]progress: [ 8 / 266 ] simplifiying candidate # 1545218126.487 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545218126.487 * * [misc]simplify: iters left: 5 (6 enodes) 1545218126.488 * * [misc]simplify: iters left: 4 (8 enodes) 1545218126.490 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545218126.490 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218126.490 * * * * [misc]progress: [ 9 / 266 ] simplifiying candidate # 1545218126.490 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545218126.490 * * [misc]simplify: iters left: 5 (6 enodes) 1545218126.491 * * [misc]simplify: iters left: 4 (8 enodes) 1545218126.492 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545218126.492 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218126.492 * * * * [misc]progress: [ 10 / 266 ] simplifiying candidate # 1545218126.492 * * * * [misc]progress: [ 11 / 266 ] simplifiying candidate # 1545218126.492 * * * * [misc]progress: [ 12 / 266 ] simplifiying candidate # 1545218126.492 * * * * [misc]progress: [ 13 / 266 ] simplifiying candidate # 1545218126.492 * * * * [misc]progress: [ 14 / 266 ] simplifiying candidate # 1545218126.492 * * * * [misc]progress: [ 15 / 266 ] simplifiying candidate # 1545218126.492 * * * * [misc]progress: [ 16 / 266 ] simplifiying candidate # 1545218126.492 * * * * [misc]progress: [ 17 / 266 ] simplifiying candidate # 1545218126.492 * * * * [misc]progress: [ 18 / 266 ] simplifiying candidate # 1545218126.493 * * * * [misc]progress: [ 19 / 266 ] simplifiying candidate # 1545218126.493 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545218126.493 * * [misc]simplify: iters left: 6 (9 enodes) 1545218126.495 * * [misc]simplify: iters left: 5 (16 enodes) 1545218126.497 * * [misc]simplify: iters left: 4 (32 enodes) 1545218126.505 * * [misc]simplify: iters left: 3 (72 enodes) 1545218126.524 * * [misc]simplify: iters left: 2 (195 enodes) 1545218126.595 * * [misc]simplify: iters left: 1 (418 enodes) 1545218126.734 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545218126.734 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1545218126.734 * * * * [misc]progress: [ 20 / 266 ] simplifiying candidate # 1545218126.734 * * * * [misc]progress: [ 21 / 266 ] simplifiying candidate # 1545218126.734 * [enter]simplify: Simplifying (* n 2) 1545218126.734 * * [misc]simplify: iters left: 2 (3 enodes) 1545218126.735 * * [misc]simplify: iters left: 1 (4 enodes) 1545218126.735 * [exit]simplify: Simplified to (* n 2) 1545218126.735 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1545218126.736 * * * * [misc]progress: [ 22 / 266 ] simplifiying candidate # 1545218126.736 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545218126.736 * * [misc]simplify: iters left: 3 (6 enodes) 1545218126.737 * * [misc]simplify: iters left: 2 (7 enodes) 1545218126.738 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545218126.738 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1545218126.738 * * * * [misc]progress: [ 23 / 266 ] simplifiying candidate # 1545218126.738 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545218126.738 * * [misc]simplify: iters left: 5 (6 enodes) 1545218126.739 * * [misc]simplify: iters left: 4 (8 enodes) 1545218126.740 * * [misc]simplify: iters left: 3 (11 enodes) 1545218126.741 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545218126.741 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1545218126.741 * * * * [misc]progress: [ 24 / 266 ] simplifiying candidate # 1545218126.741 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545218126.741 * * [misc]simplify: iters left: 5 (6 enodes) 1545218126.742 * * [misc]simplify: iters left: 4 (8 enodes) 1545218126.743 * * [misc]simplify: iters left: 3 (11 enodes) 1545218126.745 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545218126.745 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1545218126.745 * * * * [misc]progress: [ 25 / 266 ] simplifiying candidate # 1545218126.745 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545218126.745 * * [misc]simplify: iters left: 4 (5 enodes) 1545218126.746 * * [misc]simplify: iters left: 3 (7 enodes) 1545218126.747 * * [misc]simplify: iters left: 2 (10 enodes) 1545218126.749 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545218126.749 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1545218126.749 * * * * [misc]progress: [ 26 / 266 ] simplifiying candidate # 1545218126.749 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545218126.749 * * [misc]simplify: iters left: 5 (7 enodes) 1545218126.751 * * [misc]simplify: iters left: 4 (10 enodes) 1545218126.753 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545218126.754 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1545218126.754 * * * * [misc]progress: [ 27 / 266 ] simplifiying candidate # 1545218126.754 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545218126.754 * * [misc]simplify: iters left: 5 (7 enodes) 1545218126.756 * * [misc]simplify: iters left: 4 (10 enodes) 1545218126.758 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545218126.759 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1545218126.759 * * * * [misc]progress: [ 28 / 266 ] simplifiying candidate # 1545218126.759 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545218126.759 * * [misc]simplify: iters left: 5 (7 enodes) 1545218126.760 * * [misc]simplify: iters left: 4 (9 enodes) 1545218126.761 * * [misc]simplify: iters left: 3 (12 enodes) 1545218126.763 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545218126.763 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1545218126.763 * * * * [misc]progress: [ 29 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 30 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 31 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 32 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 33 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 34 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 35 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 36 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 37 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 38 / 266 ] simplifiying candidate # 1545218126.763 * * * * [misc]progress: [ 39 / 266 ] simplifiying candidate # 1545218126.763 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218126.764 * * [misc]simplify: iters left: 6 (18 enodes) 1545218126.767 * * [misc]simplify: iters left: 5 (36 enodes) 1545218126.773 * * [misc]simplify: iters left: 4 (94 enodes) 1545218126.801 * * [misc]simplify: iters left: 3 (325 enodes) 1545218126.970 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1545218126.970 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1545218126.970 * * * * [misc]progress: [ 40 / 266 ] simplifiying candidate # 1545218126.970 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218126.970 * * [misc]simplify: iters left: 6 (18 enodes) 1545218126.974 * * [misc]simplify: iters left: 5 (36 enodes) 1545218126.984 * * [misc]simplify: iters left: 4 (94 enodes) 1545218127.011 * * [misc]simplify: iters left: 3 (325 enodes) 1545218127.161 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1545218127.162 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1545218127.162 * * * * [misc]progress: [ 41 / 266 ] simplifiying candidate # 1545218127.162 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218127.162 * * [misc]simplify: iters left: 6 (18 enodes) 1545218127.165 * * [misc]simplify: iters left: 5 (34 enodes) 1545218127.171 * * [misc]simplify: iters left: 4 (82 enodes) 1545218127.198 * * [misc]simplify: iters left: 3 (239 enodes) 1545218127.289 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1545218127.289 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1545218127.289 * * * * [misc]progress: [ 42 / 266 ] simplifiying candidate # 1545218127.289 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218127.289 * * [misc]simplify: iters left: 6 (17 enodes) 1545218127.295 * * [misc]simplify: iters left: 5 (30 enodes) 1545218127.305 * * [misc]simplify: iters left: 4 (67 enodes) 1545218127.709 * * [misc]simplify: iters left: 3 (188 enodes) 1545218127.758 * * [misc]simplify: iters left: 2 (366 enodes) 1545218127.891 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))) 1545218127.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))))) 1545218127.892 * * * * [misc]progress: [ 43 / 266 ] simplifiying candidate # 1545218127.892 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218127.892 * * [misc]simplify: iters left: 6 (18 enodes) 1545218127.895 * * [misc]simplify: iters left: 5 (33 enodes) 1545218127.902 * * [misc]simplify: iters left: 4 (70 enodes) 1545218127.931 * * [misc]simplify: iters left: 3 (220 enodes) 1545218128.043 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1545218128.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1545218128.043 * * * * [misc]progress: [ 44 / 266 ] simplifiying candidate # 1545218128.043 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218128.044 * * [misc]simplify: iters left: 6 (18 enodes) 1545218128.049 * * [misc]simplify: iters left: 5 (33 enodes) 1545218128.056 * * [misc]simplify: iters left: 4 (70 enodes) 1545218128.074 * * [misc]simplify: iters left: 3 (220 enodes) 1545218128.176 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1545218128.176 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1545218128.176 * * * * [misc]progress: [ 45 / 266 ] simplifiying candidate # 1545218128.176 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218128.176 * * [misc]simplify: iters left: 6 (18 enodes) 1545218128.179 * * [misc]simplify: iters left: 5 (31 enodes) 1545218128.184 * * [misc]simplify: iters left: 4 (58 enodes) 1545218128.195 * * [misc]simplify: iters left: 3 (137 enodes) 1545218128.285 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1545218128.285 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1545218128.285 * * * * [misc]progress: [ 46 / 266 ] simplifiying candidate # 1545218128.285 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218128.285 * * [misc]simplify: iters left: 6 (17 enodes) 1545218128.289 * * [misc]simplify: iters left: 5 (27 enodes) 1545218128.292 * * [misc]simplify: iters left: 4 (43 enodes) 1545218128.300 * * [misc]simplify: iters left: 3 (87 enodes) 1545218128.339 * * [misc]simplify: iters left: 2 (236 enodes) 1545218128.464 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1545218128.465 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1545218128.465 * * * * [misc]progress: [ 47 / 266 ] simplifiying candidate # 1545218128.465 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218128.465 * * [misc]simplify: iters left: 6 (19 enodes) 1545218128.471 * * [misc]simplify: iters left: 5 (38 enodes) 1545218128.483 * * [misc]simplify: iters left: 4 (77 enodes) 1545218128.502 * * [misc]simplify: iters left: 3 (214 enodes) 1545218128.617 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1545218128.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1545218128.618 * * * * [misc]progress: [ 48 / 266 ] simplifiying candidate # 1545218128.618 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218128.618 * * [misc]simplify: iters left: 6 (19 enodes) 1545218128.625 * * [misc]simplify: iters left: 5 (38 enodes) 1545218128.636 * * [misc]simplify: iters left: 4 (77 enodes) 1545218128.664 * * [misc]simplify: iters left: 3 (214 enodes) 1545218128.773 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1545218128.773 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1545218128.773 * * * * [misc]progress: [ 49 / 266 ] simplifiying candidate # 1545218128.773 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218128.774 * * [misc]simplify: iters left: 6 (19 enodes) 1545218128.780 * * [misc]simplify: iters left: 5 (36 enodes) 1545218128.791 * * [misc]simplify: iters left: 4 (65 enodes) 1545218128.813 * * [misc]simplify: iters left: 3 (131 enodes) 1545218128.906 * * [misc]simplify: iters left: 2 (494 enodes) 1545218129.391 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545218129.392 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545218129.392 * * * * [misc]progress: [ 50 / 266 ] simplifiying candidate # 1545218129.392 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218129.392 * * [misc]simplify: iters left: 6 (18 enodes) 1545218129.395 * * [misc]simplify: iters left: 5 (32 enodes) 1545218129.399 * * [misc]simplify: iters left: 4 (47 enodes) 1545218129.406 * * [misc]simplify: iters left: 3 (75 enodes) 1545218129.418 * * [misc]simplify: iters left: 2 (166 enodes) 1545218129.529 * [exit]simplify: Simplified to (- (* (log (* 2 n)) (- 1/2 (/ k 2))) (fma (log PI) (+ (/ k 2) -1/2) (log (sqrt k)))) 1545218129.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* 2 n)) (- 1/2 (/ k 2))) (fma (log PI) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1545218129.529 * * * * [misc]progress: [ 51 / 266 ] simplifiying candidate # 1545218129.529 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218129.529 * * [misc]simplify: iters left: 6 (19 enodes) 1545218129.533 * * [misc]simplify: iters left: 5 (40 enodes) 1545218129.540 * * [misc]simplify: iters left: 4 (82 enodes) 1545218129.561 * * [misc]simplify: iters left: 3 (222 enodes) 1545218129.675 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1545218129.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1545218129.675 * * * * [misc]progress: [ 52 / 266 ] simplifiying candidate # 1545218129.675 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218129.675 * * [misc]simplify: iters left: 6 (19 enodes) 1545218129.680 * * [misc]simplify: iters left: 5 (40 enodes) 1545218129.686 * * [misc]simplify: iters left: 4 (82 enodes) 1545218129.708 * * [misc]simplify: iters left: 3 (222 enodes) 1545218129.829 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1545218129.829 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1545218129.829 * * * * [misc]progress: [ 53 / 266 ] simplifiying candidate # 1545218129.830 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218129.830 * * [misc]simplify: iters left: 6 (19 enodes) 1545218129.834 * * [misc]simplify: iters left: 5 (38 enodes) 1545218129.839 * * [misc]simplify: iters left: 4 (70 enodes) 1545218129.852 * * [misc]simplify: iters left: 3 (139 enodes) 1545218129.915 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1545218129.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1545218129.915 * * * * [misc]progress: [ 54 / 266 ] simplifiying candidate # 1545218129.916 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218129.916 * * [misc]simplify: iters left: 6 (18 enodes) 1545218129.919 * * [misc]simplify: iters left: 5 (34 enodes) 1545218129.924 * * [misc]simplify: iters left: 4 (56 enodes) 1545218129.934 * * [misc]simplify: iters left: 3 (85 enodes) 1545218129.975 * * [misc]simplify: iters left: 2 (195 enodes) 1545218130.097 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* 2 n))) (fma (+ (/ k 2) -1/2) (log PI) (log (sqrt k)))) 1545218130.097 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* 2 n))) (fma (+ (/ k 2) -1/2) (log PI) (log (sqrt k)))))) 1545218130.098 * * * * [misc]progress: [ 55 / 266 ] simplifiying candidate # 1545218130.098 * * * * [misc]progress: [ 56 / 266 ] simplifiying candidate # 1545218130.098 * * * * [misc]progress: [ 57 / 266 ] simplifiying candidate # 1545218130.098 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218130.098 * * [misc]simplify: iters left: 6 (22 enodes) 1545218130.102 * * [misc]simplify: iters left: 5 (49 enodes) 1545218130.112 * * [misc]simplify: iters left: 4 (146 enodes) 1545218130.171 * [exit]simplify: Simplified to (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218130.171 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218130.171 * * * * [misc]progress: [ 58 / 266 ] simplifiying candidate # 1545218130.171 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218130.171 * * [misc]simplify: iters left: 6 (20 enodes) 1545218130.175 * * [misc]simplify: iters left: 5 (48 enodes) 1545218130.185 * * [misc]simplify: iters left: 4 (131 enodes) 1545218130.234 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218130.234 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218130.234 * * * * [misc]progress: [ 59 / 266 ] simplifiying candidate # 1545218130.234 * * * * [misc]progress: [ 60 / 266 ] simplifiying candidate # 1545218130.234 * * * * [misc]progress: [ 61 / 266 ] simplifiying candidate # 1545218130.234 * * * * [misc]progress: [ 62 / 266 ] simplifiying candidate # 1545218130.234 * * * * [misc]progress: [ 63 / 266 ] simplifiying candidate # 1545218130.234 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218130.235 * * [misc]simplify: iters left: 6 (20 enodes) 1545218130.238 * * [misc]simplify: iters left: 5 (33 enodes) 1545218130.243 * * [misc]simplify: iters left: 4 (46 enodes) 1545218130.250 * * [misc]simplify: iters left: 3 (53 enodes) 1545218130.257 * * [misc]simplify: iters left: 2 (56 enodes) 1545218130.264 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218130.264 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218130.264 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218130.264 * * [misc]simplify: iters left: 6 (18 enodes) 1545218130.267 * * [misc]simplify: iters left: 5 (25 enodes) 1545218130.270 * * [misc]simplify: iters left: 4 (29 enodes) 1545218130.274 * * [misc]simplify: iters left: 3 (33 enodes) 1545218130.278 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218130.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218130.278 * * * * [misc]progress: [ 64 / 266 ] simplifiying candidate # 1545218130.279 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218130.279 * * [misc]simplify: iters left: 6 (19 enodes) 1545218130.282 * * [misc]simplify: iters left: 5 (28 enodes) 1545218130.286 * * [misc]simplify: iters left: 4 (34 enodes) 1545218130.290 * * [misc]simplify: iters left: 3 (39 enodes) 1545218130.297 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218130.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218130.297 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218130.297 * * [misc]simplify: iters left: 6 (18 enodes) 1545218130.300 * * [misc]simplify: iters left: 5 (25 enodes) 1545218130.304 * * [misc]simplify: iters left: 4 (29 enodes) 1545218130.308 * * [misc]simplify: iters left: 3 (33 enodes) 1545218130.312 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218130.312 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218130.312 * * * * [misc]progress: [ 65 / 266 ] simplifiying candidate # 1545218130.312 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218130.312 * * [misc]simplify: iters left: 6 (20 enodes) 1545218130.315 * * [misc]simplify: iters left: 5 (34 enodes) 1545218130.320 * * [misc]simplify: iters left: 4 (53 enodes) 1545218130.329 * * [misc]simplify: iters left: 3 (98 enodes) 1545218130.345 * * [misc]simplify: iters left: 2 (155 enodes) 1545218130.376 * * [misc]simplify: iters left: 1 (186 enodes) 1545218130.427 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218130.427 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218130.427 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218130.427 * * [misc]simplify: iters left: 6 (19 enodes) 1545218130.431 * * [misc]simplify: iters left: 5 (29 enodes) 1545218130.434 * * [misc]simplify: iters left: 4 (34 enodes) 1545218130.439 * * [misc]simplify: iters left: 3 (40 enodes) 1545218130.444 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218130.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218130.444 * * * * [misc]progress: [ 66 / 266 ] simplifiying candidate # 1545218130.444 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218130.444 * * [misc]simplify: iters left: 6 (20 enodes) 1545218130.448 * * [misc]simplify: iters left: 5 (34 enodes) 1545218130.454 * * [misc]simplify: iters left: 4 (53 enodes) 1545218130.462 * * [misc]simplify: iters left: 3 (98 enodes) 1545218130.479 * * [misc]simplify: iters left: 2 (155 enodes) 1545218130.533 * * [misc]simplify: iters left: 1 (186 enodes) 1545218130.599 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218130.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218130.599 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218130.600 * * [misc]simplify: iters left: 6 (19 enodes) 1545218130.606 * * [misc]simplify: iters left: 5 (29 enodes) 1545218130.614 * * [misc]simplify: iters left: 4 (34 enodes) 1545218130.624 * * [misc]simplify: iters left: 3 (40 enodes) 1545218130.634 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218130.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218130.634 * * * * [misc]progress: [ 67 / 266 ] simplifiying candidate # 1545218130.635 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218130.635 * * [misc]simplify: iters left: 6 (19 enodes) 1545218130.642 * * [misc]simplify: iters left: 5 (31 enodes) 1545218130.651 * * [misc]simplify: iters left: 4 (50 enodes) 1545218130.667 * * [misc]simplify: iters left: 3 (95 enodes) 1545218130.685 * * [misc]simplify: iters left: 2 (150 enodes) 1545218130.711 * * [misc]simplify: iters left: 1 (181 enodes) 1545218130.756 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218130.756 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218130.756 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218130.756 * * [misc]simplify: iters left: 6 (16 enodes) 1545218130.761 * * [misc]simplify: iters left: 5 (24 enodes) 1545218130.764 * * [misc]simplify: iters left: 4 (31 enodes) 1545218130.768 * * [misc]simplify: iters left: 3 (37 enodes) 1545218130.773 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218130.773 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218130.773 * * * * [misc]progress: [ 68 / 266 ] simplifiying candidate # 1545218130.773 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218130.773 * * [misc]simplify: iters left: 6 (22 enodes) 1545218130.777 * * [misc]simplify: iters left: 5 (39 enodes) 1545218130.783 * * [misc]simplify: iters left: 4 (74 enodes) 1545218130.804 * * [misc]simplify: iters left: 3 (149 enodes) 1545218130.863 * * [misc]simplify: iters left: 2 (277 enodes) 1545218130.973 * * [misc]simplify: iters left: 1 (387 enodes) 1545218131.112 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545218131.112 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218131.113 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218131.113 * * [misc]simplify: iters left: 6 (19 enodes) 1545218131.119 * * [misc]simplify: iters left: 5 (28 enodes) 1545218131.125 * * [misc]simplify: iters left: 4 (35 enodes) 1545218131.135 * * [misc]simplify: iters left: 3 (41 enodes) 1545218131.144 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545218131.144 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545218131.144 * * * * [misc]progress: [ 69 / 266 ] simplifiying candidate # 1545218131.145 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218131.145 * * [misc]simplify: iters left: 6 (21 enodes) 1545218131.151 * * [misc]simplify: iters left: 5 (34 enodes) 1545218131.160 * * [misc]simplify: iters left: 4 (53 enodes) 1545218131.174 * * [misc]simplify: iters left: 3 (98 enodes) 1545218131.204 * * [misc]simplify: iters left: 2 (151 enodes) 1545218131.233 * * [misc]simplify: iters left: 1 (184 enodes) 1545218131.277 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218131.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218131.277 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218131.278 * * [misc]simplify: iters left: 6 (19 enodes) 1545218131.281 * * [misc]simplify: iters left: 5 (28 enodes) 1545218131.286 * * [misc]simplify: iters left: 4 (35 enodes) 1545218131.297 * * [misc]simplify: iters left: 3 (41 enodes) 1545218131.306 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545218131.306 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545218131.307 * * * * [misc]progress: [ 70 / 266 ] simplifiying candidate # 1545218131.307 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218131.307 * * [misc]simplify: iters left: 6 (17 enodes) 1545218131.314 * * [misc]simplify: iters left: 5 (29 enodes) 1545218131.323 * * [misc]simplify: iters left: 4 (51 enodes) 1545218131.339 * * [misc]simplify: iters left: 3 (95 enodes) 1545218131.374 * * [misc]simplify: iters left: 2 (277 enodes) 1545218131.562 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545218131.563 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218131.563 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218131.563 * * [misc]simplify: iters left: 6 (18 enodes) 1545218131.569 * * [misc]simplify: iters left: 5 (27 enodes) 1545218131.576 * * [misc]simplify: iters left: 4 (34 enodes) 1545218131.586 * * [misc]simplify: iters left: 3 (40 enodes) 1545218131.596 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218131.596 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218131.596 * * * * [misc]progress: [ 71 / 266 ] simplifiying candidate # 1545218131.596 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218131.596 * * [misc]simplify: iters left: 6 (19 enodes) 1545218131.603 * * [misc]simplify: iters left: 5 (31 enodes) 1545218131.611 * * [misc]simplify: iters left: 4 (42 enodes) 1545218131.624 * * [misc]simplify: iters left: 3 (58 enodes) 1545218131.638 * * [misc]simplify: iters left: 2 (70 enodes) 1545218131.658 * * [misc]simplify: iters left: 1 (76 enodes) 1545218131.679 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1545218131.679 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218131.680 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218131.680 * * [misc]simplify: iters left: 6 (19 enodes) 1545218131.686 * * [misc]simplify: iters left: 5 (29 enodes) 1545218131.695 * * [misc]simplify: iters left: 4 (34 enodes) 1545218131.705 * * [misc]simplify: iters left: 3 (40 enodes) 1545218131.715 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218131.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218131.715 * * * * [misc]progress: [ 72 / 266 ] simplifiying candidate # 1545218131.716 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218131.716 * * [misc]simplify: iters left: 6 (19 enodes) 1545218131.723 * * [misc]simplify: iters left: 5 (31 enodes) 1545218131.731 * * [misc]simplify: iters left: 4 (42 enodes) 1545218131.744 * * [misc]simplify: iters left: 3 (58 enodes) 1545218131.758 * * [misc]simplify: iters left: 2 (70 enodes) 1545218131.776 * * [misc]simplify: iters left: 1 (76 enodes) 1545218131.796 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1545218131.796 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218131.796 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218131.796 * * [misc]simplify: iters left: 6 (19 enodes) 1545218131.805 * * [misc]simplify: iters left: 5 (29 enodes) 1545218131.812 * * [misc]simplify: iters left: 4 (34 enodes) 1545218131.822 * * [misc]simplify: iters left: 3 (40 enodes) 1545218131.831 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218131.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218131.832 * * * * [misc]progress: [ 73 / 266 ] simplifiying candidate # 1545218131.832 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218131.832 * * [misc]simplify: iters left: 6 (18 enodes) 1545218131.835 * * [misc]simplify: iters left: 5 (28 enodes) 1545218131.839 * * [misc]simplify: iters left: 4 (39 enodes) 1545218131.845 * * [misc]simplify: iters left: 3 (55 enodes) 1545218131.851 * * [misc]simplify: iters left: 2 (67 enodes) 1545218131.860 * * [misc]simplify: iters left: 1 (73 enodes) 1545218131.869 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218131.869 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218131.869 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218131.869 * * [misc]simplify: iters left: 6 (16 enodes) 1545218131.873 * * [misc]simplify: iters left: 5 (24 enodes) 1545218131.879 * * [misc]simplify: iters left: 4 (31 enodes) 1545218131.888 * * [misc]simplify: iters left: 3 (37 enodes) 1545218131.897 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218131.897 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218131.897 * * * * [misc]progress: [ 74 / 266 ] simplifiying candidate # 1545218131.898 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218131.898 * * [misc]simplify: iters left: 6 (21 enodes) 1545218131.902 * * [misc]simplify: iters left: 5 (34 enodes) 1545218131.908 * * [misc]simplify: iters left: 4 (49 enodes) 1545218131.916 * * [misc]simplify: iters left: 3 (79 enodes) 1545218131.927 * * [misc]simplify: iters left: 2 (118 enodes) 1545218131.951 * * [misc]simplify: iters left: 1 (151 enodes) 1545218131.982 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1545218131.982 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218131.982 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218131.982 * * [misc]simplify: iters left: 6 (19 enodes) 1545218131.991 * * [misc]simplify: iters left: 5 (28 enodes) 1545218131.998 * * [misc]simplify: iters left: 4 (35 enodes) 1545218132.009 * * [misc]simplify: iters left: 3 (41 enodes) 1545218132.019 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218132.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545218132.019 * * * * [misc]progress: [ 75 / 266 ] simplifiying candidate # 1545218132.019 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218132.020 * * [misc]simplify: iters left: 6 (20 enodes) 1545218132.027 * * [misc]simplify: iters left: 5 (31 enodes) 1545218132.035 * * [misc]simplify: iters left: 4 (42 enodes) 1545218132.041 * * [misc]simplify: iters left: 3 (58 enodes) 1545218132.048 * * [misc]simplify: iters left: 2 (70 enodes) 1545218132.057 * * [misc]simplify: iters left: 1 (76 enodes) 1545218132.066 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1545218132.067 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218132.067 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218132.067 * * [misc]simplify: iters left: 6 (19 enodes) 1545218132.073 * * [misc]simplify: iters left: 5 (28 enodes) 1545218132.080 * * [misc]simplify: iters left: 4 (35 enodes) 1545218132.090 * * [misc]simplify: iters left: 3 (41 enodes) 1545218132.099 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218132.100 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545218132.100 * * * * [misc]progress: [ 76 / 266 ] simplifiying candidate # 1545218132.100 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) 1)) 1545218132.101 * * [misc]simplify: iters left: 6 (16 enodes) 1545218132.107 * * [misc]simplify: iters left: 5 (26 enodes) 1545218132.115 * * [misc]simplify: iters left: 4 (38 enodes) 1545218132.125 * * [misc]simplify: iters left: 3 (50 enodes) 1545218132.136 * * [misc]simplify: iters left: 2 (51 enodes) 1545218132.145 * * [misc]simplify: iters left: 1 (57 enodes) 1545218132.158 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218132.158 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218132.158 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218132.159 * * [misc]simplify: iters left: 6 (18 enodes) 1545218132.162 * * [misc]simplify: iters left: 5 (27 enodes) 1545218132.165 * * [misc]simplify: iters left: 4 (34 enodes) 1545218132.170 * * [misc]simplify: iters left: 3 (40 enodes) 1545218132.175 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218132.175 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218132.175 * * * * [misc]progress: [ 77 / 266 ] simplifiying candidate # 1545218132.175 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1545218132.175 * * [misc]simplify: iters left: 6 (17 enodes) 1545218132.178 * * [misc]simplify: iters left: 5 (29 enodes) 1545218132.182 * * [misc]simplify: iters left: 4 (40 enodes) 1545218132.189 * * [misc]simplify: iters left: 3 (59 enodes) 1545218132.204 * * [misc]simplify: iters left: 2 (81 enodes) 1545218132.232 * * [misc]simplify: iters left: 1 (160 enodes) 1545218132.281 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218132.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218132.281 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218132.281 * * [misc]simplify: iters left: 6 (18 enodes) 1545218132.284 * * [misc]simplify: iters left: 5 (28 enodes) 1545218132.288 * * [misc]simplify: iters left: 4 (33 enodes) 1545218132.297 * * [misc]simplify: iters left: 3 (39 enodes) 1545218132.307 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545218132.307 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545218132.307 * * * * [misc]progress: [ 78 / 266 ] simplifiying candidate # 1545218132.307 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1545218132.307 * * [misc]simplify: iters left: 6 (17 enodes) 1545218132.314 * * [misc]simplify: iters left: 5 (29 enodes) 1545218132.322 * * [misc]simplify: iters left: 4 (40 enodes) 1545218132.334 * * [misc]simplify: iters left: 3 (59 enodes) 1545218132.342 * * [misc]simplify: iters left: 2 (81 enodes) 1545218132.354 * * [misc]simplify: iters left: 1 (160 enodes) 1545218132.406 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218132.406 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218132.406 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218132.407 * * [misc]simplify: iters left: 6 (18 enodes) 1545218132.410 * * [misc]simplify: iters left: 5 (28 enodes) 1545218132.413 * * [misc]simplify: iters left: 4 (33 enodes) 1545218132.419 * * [misc]simplify: iters left: 3 (39 enodes) 1545218132.424 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545218132.424 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545218132.424 * * * * [misc]progress: [ 79 / 266 ] simplifiying candidate # 1545218132.424 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218132.425 * * [misc]simplify: iters left: 6 (16 enodes) 1545218132.430 * * [misc]simplify: iters left: 5 (26 enodes) 1545218132.438 * * [misc]simplify: iters left: 4 (37 enodes) 1545218132.449 * * [misc]simplify: iters left: 3 (56 enodes) 1545218132.457 * * [misc]simplify: iters left: 2 (78 enodes) 1545218132.470 * * [misc]simplify: iters left: 1 (140 enodes) 1545218132.508 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218132.508 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218132.509 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218132.509 * * [misc]simplify: iters left: 6 (15 enodes) 1545218132.511 * * [misc]simplify: iters left: 5 (23 enodes) 1545218132.516 * * [misc]simplify: iters left: 4 (30 enodes) 1545218132.520 * * [misc]simplify: iters left: 3 (36 enodes) 1545218132.524 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218132.524 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218132.524 * * * * [misc]progress: [ 80 / 266 ] simplifiying candidate # 1545218132.524 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218132.525 * * [misc]simplify: iters left: 6 (19 enodes) 1545218132.528 * * [misc]simplify: iters left: 5 (32 enodes) 1545218132.532 * * [misc]simplify: iters left: 4 (47 enodes) 1545218132.540 * * [misc]simplify: iters left: 3 (78 enodes) 1545218132.559 * * [misc]simplify: iters left: 2 (146 enodes) 1545218132.630 * * [misc]simplify: iters left: 1 (394 enodes) 1545218132.877 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218132.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218132.877 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218132.877 * * [misc]simplify: iters left: 6 (18 enodes) 1545218132.881 * * [misc]simplify: iters left: 5 (27 enodes) 1545218132.886 * * [misc]simplify: iters left: 4 (34 enodes) 1545218132.891 * * [misc]simplify: iters left: 3 (40 enodes) 1545218132.896 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218132.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218132.896 * * * * [misc]progress: [ 81 / 266 ] simplifiying candidate # 1545218132.896 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218132.896 * * [misc]simplify: iters left: 6 (18 enodes) 1545218132.899 * * [misc]simplify: iters left: 5 (29 enodes) 1545218132.903 * * [misc]simplify: iters left: 4 (40 enodes) 1545218132.909 * * [misc]simplify: iters left: 3 (59 enodes) 1545218132.917 * * [misc]simplify: iters left: 2 (81 enodes) 1545218132.930 * * [misc]simplify: iters left: 1 (161 enodes) 1545218132.995 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218132.995 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218132.995 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218132.995 * * [misc]simplify: iters left: 6 (18 enodes) 1545218133.002 * * [misc]simplify: iters left: 5 (27 enodes) 1545218133.009 * * [misc]simplify: iters left: 4 (34 enodes) 1545218133.019 * * [misc]simplify: iters left: 3 (40 enodes) 1545218133.029 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218133.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218133.029 * * * * [misc]progress: [ 82 / 266 ] simplifiying candidate # 1545218133.029 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1545218133.029 * * [misc]simplify: iters left: 6 (14 enodes) 1545218133.034 * * [misc]simplify: iters left: 5 (21 enodes) 1545218133.041 * * [misc]simplify: iters left: 4 (29 enodes) 1545218133.049 * * [misc]simplify: iters left: 3 (39 enodes) 1545218133.058 * * [misc]simplify: iters left: 2 (51 enodes) 1545218133.070 * * [misc]simplify: iters left: 1 (79 enodes) 1545218133.091 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218133.091 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218133.091 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218133.091 * * [misc]simplify: iters left: 6 (17 enodes) 1545218133.097 * * [misc]simplify: iters left: 5 (26 enodes) 1545218133.104 * * [misc]simplify: iters left: 4 (33 enodes) 1545218133.114 * * [misc]simplify: iters left: 3 (39 enodes) 1545218133.123 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218133.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218133.123 * * * * [misc]progress: [ 83 / 266 ] simplifiying candidate # 1545218133.123 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1545218133.123 * * [misc]simplify: iters left: 6 (13 enodes) 1545218133.128 * * [misc]simplify: iters left: 5 (21 enodes) 1545218133.136 * * [misc]simplify: iters left: 4 (31 enodes) 1545218133.144 * * [misc]simplify: iters left: 3 (46 enodes) 1545218133.157 * * [misc]simplify: iters left: 2 (72 enodes) 1545218133.175 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218133.175 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218133.176 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218133.176 * * [misc]simplify: iters left: 6 (17 enodes) 1545218133.182 * * [misc]simplify: iters left: 5 (26 enodes) 1545218133.188 * * [misc]simplify: iters left: 4 (33 enodes) 1545218133.198 * * [misc]simplify: iters left: 3 (39 enodes) 1545218133.207 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218133.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218133.208 * * * * [misc]progress: [ 84 / 266 ] simplifiying candidate # 1545218133.208 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1545218133.208 * * [misc]simplify: iters left: 6 (14 enodes) 1545218133.213 * * [misc]simplify: iters left: 5 (22 enodes) 1545218133.219 * * [misc]simplify: iters left: 4 (28 enodes) 1545218133.228 * * [misc]simplify: iters left: 3 (33 enodes) 1545218133.236 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218133.236 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218133.236 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218133.236 * * [misc]simplify: iters left: 6 (16 enodes) 1545218133.242 * * [misc]simplify: iters left: 5 (25 enodes) 1545218133.249 * * [misc]simplify: iters left: 4 (32 enodes) 1545218133.259 * * [misc]simplify: iters left: 3 (45 enodes) 1545218133.267 * * [misc]simplify: iters left: 2 (47 enodes) 1545218133.271 * * [misc]simplify: iters left: 1 (52 enodes) 1545218133.277 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218133.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1545218133.278 * * * * [misc]progress: [ 85 / 266 ] simplifiying candidate # 1545218133.278 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1545218133.278 * * [misc]simplify: iters left: 6 (18 enodes) 1545218133.281 * * [misc]simplify: iters left: 5 (30 enodes) 1545218133.285 * * [misc]simplify: iters left: 4 (41 enodes) 1545218133.291 * * [misc]simplify: iters left: 3 (57 enodes) 1545218133.305 * * [misc]simplify: iters left: 2 (69 enodes) 1545218133.318 * * [misc]simplify: iters left: 1 (75 enodes) 1545218133.328 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1545218133.328 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1545218133.328 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1545218133.328 * * [misc]simplify: iters left: 6 (15 enodes) 1545218133.331 * * [misc]simplify: iters left: 5 (22 enodes) 1545218133.334 * * [misc]simplify: iters left: 4 (26 enodes) 1545218133.337 * * [misc]simplify: iters left: 3 (30 enodes) 1545218133.341 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545218133.341 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545218133.341 * * * * [misc]progress: [ 86 / 266 ] simplifiying candidate # 1545218133.341 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218133.341 * * [misc]simplify: iters left: 6 (19 enodes) 1545218133.346 * * [misc]simplify: iters left: 5 (28 enodes) 1545218133.353 * * [misc]simplify: iters left: 4 (32 enodes) 1545218133.362 * * [misc]simplify: iters left: 3 (36 enodes) 1545218133.371 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218133.371 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218133.371 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218133.371 * * [misc]simplify: iters left: 6 (18 enodes) 1545218133.379 * * [misc]simplify: iters left: 5 (25 enodes) 1545218133.385 * * [misc]simplify: iters left: 4 (29 enodes) 1545218133.393 * * [misc]simplify: iters left: 3 (33 enodes) 1545218133.401 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218133.401 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218133.401 * * * * [misc]progress: [ 87 / 266 ] simplifiying candidate # 1545218133.402 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218133.402 * * [misc]simplify: iters left: 6 (18 enodes) 1545218133.408 * * [misc]simplify: iters left: 5 (25 enodes) 1545218133.414 * * [misc]simplify: iters left: 4 (29 enodes) 1545218133.423 * * [misc]simplify: iters left: 3 (33 enodes) 1545218133.431 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218133.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218133.431 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218133.431 * * [misc]simplify: iters left: 6 (18 enodes) 1545218133.437 * * [misc]simplify: iters left: 5 (25 enodes) 1545218133.443 * * [misc]simplify: iters left: 4 (29 enodes) 1545218133.451 * * [misc]simplify: iters left: 3 (33 enodes) 1545218133.459 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218133.459 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218133.459 * * * * [misc]progress: [ 88 / 266 ] simplifiying candidate # 1545218133.459 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218133.459 * * [misc]simplify: iters left: 6 (19 enodes) 1545218133.466 * * [misc]simplify: iters left: 5 (31 enodes) 1545218133.474 * * [misc]simplify: iters left: 4 (42 enodes) 1545218133.485 * * [misc]simplify: iters left: 3 (58 enodes) 1545218133.498 * * [misc]simplify: iters left: 2 (63 enodes) 1545218133.510 * * [misc]simplify: iters left: 1 (70 enodes) 1545218133.528 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1545218133.528 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218133.528 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218133.528 * * [misc]simplify: iters left: 6 (19 enodes) 1545218133.535 * * [misc]simplify: iters left: 5 (29 enodes) 1545218133.543 * * [misc]simplify: iters left: 4 (34 enodes) 1545218133.553 * * [misc]simplify: iters left: 3 (40 enodes) 1545218133.563 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218133.563 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218133.563 * * * * [misc]progress: [ 89 / 266 ] simplifiying candidate # 1545218133.563 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218133.563 * * [misc]simplify: iters left: 6 (19 enodes) 1545218133.567 * * [misc]simplify: iters left: 5 (31 enodes) 1545218133.571 * * [misc]simplify: iters left: 4 (42 enodes) 1545218133.577 * * [misc]simplify: iters left: 3 (58 enodes) 1545218133.584 * * [misc]simplify: iters left: 2 (63 enodes) 1545218133.592 * * [misc]simplify: iters left: 1 (70 enodes) 1545218133.600 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1545218133.600 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218133.600 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218133.600 * * [misc]simplify: iters left: 6 (19 enodes) 1545218133.604 * * [misc]simplify: iters left: 5 (29 enodes) 1545218133.608 * * [misc]simplify: iters left: 4 (34 enodes) 1545218133.612 * * [misc]simplify: iters left: 3 (40 enodes) 1545218133.619 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218133.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218133.619 * * * * [misc]progress: [ 90 / 266 ] simplifiying candidate # 1545218133.619 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218133.619 * * [misc]simplify: iters left: 6 (18 enodes) 1545218133.625 * * [misc]simplify: iters left: 5 (28 enodes) 1545218133.633 * * [misc]simplify: iters left: 4 (39 enodes) 1545218133.645 * * [misc]simplify: iters left: 3 (55 enodes) 1545218133.655 * * [misc]simplify: iters left: 2 (60 enodes) 1545218133.661 * * [misc]simplify: iters left: 1 (67 enodes) 1545218133.669 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218133.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218133.669 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218133.669 * * [misc]simplify: iters left: 6 (16 enodes) 1545218133.672 * * [misc]simplify: iters left: 5 (24 enodes) 1545218133.675 * * [misc]simplify: iters left: 4 (31 enodes) 1545218133.680 * * [misc]simplify: iters left: 3 (37 enodes) 1545218133.685 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218133.685 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218133.685 * * * * [misc]progress: [ 91 / 266 ] simplifiying candidate # 1545218133.686 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218133.686 * * [misc]simplify: iters left: 6 (21 enodes) 1545218133.693 * * [misc]simplify: iters left: 5 (36 enodes) 1545218133.704 * * [misc]simplify: iters left: 4 (58 enodes) 1545218133.717 * * [misc]simplify: iters left: 3 (85 enodes) 1545218133.730 * * [misc]simplify: iters left: 2 (115 enodes) 1545218133.748 * * [misc]simplify: iters left: 1 (139 enodes) 1545218133.774 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218133.774 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218133.774 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218133.774 * * [misc]simplify: iters left: 6 (19 enodes) 1545218133.777 * * [misc]simplify: iters left: 5 (28 enodes) 1545218133.781 * * [misc]simplify: iters left: 4 (35 enodes) 1545218133.786 * * [misc]simplify: iters left: 3 (41 enodes) 1545218133.791 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545218133.791 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545218133.791 * * * * [misc]progress: [ 92 / 266 ] simplifiying candidate # 1545218133.791 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218133.791 * * [misc]simplify: iters left: 6 (20 enodes) 1545218133.798 * * [misc]simplify: iters left: 5 (31 enodes) 1545218133.808 * * [misc]simplify: iters left: 4 (42 enodes) 1545218133.821 * * [misc]simplify: iters left: 3 (58 enodes) 1545218133.836 * * [misc]simplify: iters left: 2 (63 enodes) 1545218133.850 * * [misc]simplify: iters left: 1 (70 enodes) 1545218133.868 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218133.868 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218133.868 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218133.868 * * [misc]simplify: iters left: 6 (19 enodes) 1545218133.873 * * [misc]simplify: iters left: 5 (28 enodes) 1545218133.877 * * [misc]simplify: iters left: 4 (35 enodes) 1545218133.882 * * [misc]simplify: iters left: 3 (41 enodes) 1545218133.886 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545218133.887 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545218133.887 * * * * [misc]progress: [ 93 / 266 ] simplifiying candidate # 1545218133.887 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218133.887 * * [misc]simplify: iters left: 6 (16 enodes) 1545218133.890 * * [misc]simplify: iters left: 5 (26 enodes) 1545218133.894 * * [misc]simplify: iters left: 4 (41 enodes) 1545218133.900 * * [misc]simplify: iters left: 3 (63 enodes) 1545218133.908 * * [misc]simplify: iters left: 2 (129 enodes) 1545218133.956 * * [misc]simplify: iters left: 1 (190 enodes) 1545218133.973 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218133.973 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218133.973 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218133.973 * * [misc]simplify: iters left: 6 (18 enodes) 1545218133.976 * * [misc]simplify: iters left: 5 (27 enodes) 1545218133.980 * * [misc]simplify: iters left: 4 (34 enodes) 1545218133.985 * * [misc]simplify: iters left: 3 (40 enodes) 1545218133.992 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218133.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218133.992 * * * * [misc]progress: [ 94 / 266 ] simplifiying candidate # 1545218133.992 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218133.992 * * [misc]simplify: iters left: 6 (18 enodes) 1545218133.999 * * [misc]simplify: iters left: 5 (28 enodes) 1545218134.006 * * [misc]simplify: iters left: 4 (35 enodes) 1545218134.018 * * [misc]simplify: iters left: 3 (41 enodes) 1545218134.027 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1545218134.027 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218134.028 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218134.028 * * [misc]simplify: iters left: 6 (19 enodes) 1545218134.035 * * [misc]simplify: iters left: 5 (29 enodes) 1545218134.042 * * [misc]simplify: iters left: 4 (34 enodes) 1545218134.052 * * [misc]simplify: iters left: 3 (40 enodes) 1545218134.061 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218134.061 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218134.061 * * * * [misc]progress: [ 95 / 266 ] simplifiying candidate # 1545218134.062 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218134.062 * * [misc]simplify: iters left: 6 (18 enodes) 1545218134.068 * * [misc]simplify: iters left: 5 (28 enodes) 1545218134.075 * * [misc]simplify: iters left: 4 (35 enodes) 1545218134.086 * * [misc]simplify: iters left: 3 (41 enodes) 1545218134.095 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1545218134.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218134.096 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218134.096 * * [misc]simplify: iters left: 6 (19 enodes) 1545218134.103 * * [misc]simplify: iters left: 5 (29 enodes) 1545218134.109 * * [misc]simplify: iters left: 4 (34 enodes) 1545218134.113 * * [misc]simplify: iters left: 3 (40 enodes) 1545218134.118 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218134.118 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218134.118 * * * * [misc]progress: [ 96 / 266 ] simplifiying candidate # 1545218134.118 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218134.119 * * [misc]simplify: iters left: 6 (17 enodes) 1545218134.121 * * [misc]simplify: iters left: 5 (25 enodes) 1545218134.125 * * [misc]simplify: iters left: 4 (32 enodes) 1545218134.129 * * [misc]simplify: iters left: 3 (38 enodes) 1545218134.135 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218134.135 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218134.135 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218134.135 * * [misc]simplify: iters left: 6 (16 enodes) 1545218134.138 * * [misc]simplify: iters left: 5 (24 enodes) 1545218134.143 * * [misc]simplify: iters left: 4 (31 enodes) 1545218134.152 * * [misc]simplify: iters left: 3 (37 enodes) 1545218134.160 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218134.160 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218134.160 * * * * [misc]progress: [ 97 / 266 ] simplifiying candidate # 1545218134.160 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218134.160 * * [misc]simplify: iters left: 6 (20 enodes) 1545218134.167 * * [misc]simplify: iters left: 5 (31 enodes) 1545218134.176 * * [misc]simplify: iters left: 4 (40 enodes) 1545218134.181 * * [misc]simplify: iters left: 3 (53 enodes) 1545218134.188 * * [misc]simplify: iters left: 2 (61 enodes) 1545218134.195 * * [misc]simplify: iters left: 1 (63 enodes) 1545218134.203 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218134.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218134.203 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.203 * * [misc]simplify: iters left: 6 (19 enodes) 1545218134.206 * * [misc]simplify: iters left: 5 (28 enodes) 1545218134.210 * * [misc]simplify: iters left: 4 (35 enodes) 1545218134.215 * * [misc]simplify: iters left: 3 (41 enodes) 1545218134.220 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218134.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545218134.220 * * * * [misc]progress: [ 98 / 266 ] simplifiying candidate # 1545218134.220 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.220 * * [misc]simplify: iters left: 6 (19 enodes) 1545218134.224 * * [misc]simplify: iters left: 5 (28 enodes) 1545218134.228 * * [misc]simplify: iters left: 4 (35 enodes) 1545218134.234 * * [misc]simplify: iters left: 3 (41 enodes) 1545218134.239 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218134.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218134.239 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.239 * * [misc]simplify: iters left: 6 (19 enodes) 1545218134.242 * * [misc]simplify: iters left: 5 (28 enodes) 1545218134.246 * * [misc]simplify: iters left: 4 (35 enodes) 1545218134.251 * * [misc]simplify: iters left: 3 (41 enodes) 1545218134.256 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218134.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545218134.256 * * * * [misc]progress: [ 99 / 266 ] simplifiying candidate # 1545218134.256 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1545218134.256 * * [misc]simplify: iters left: 6 (15 enodes) 1545218134.259 * * [misc]simplify: iters left: 5 (23 enodes) 1545218134.263 * * [misc]simplify: iters left: 4 (34 enodes) 1545218134.267 * * [misc]simplify: iters left: 3 (39 enodes) 1545218134.271 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218134.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218134.271 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218134.271 * * [misc]simplify: iters left: 6 (18 enodes) 1545218134.274 * * [misc]simplify: iters left: 5 (27 enodes) 1545218134.278 * * [misc]simplify: iters left: 4 (34 enodes) 1545218134.283 * * [misc]simplify: iters left: 3 (40 enodes) 1545218134.287 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218134.287 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218134.287 * * * * [misc]progress: [ 100 / 266 ] simplifiying candidate # 1545218134.288 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1545218134.288 * * [misc]simplify: iters left: 6 (16 enodes) 1545218134.291 * * [misc]simplify: iters left: 5 (26 enodes) 1545218134.294 * * [misc]simplify: iters left: 4 (33 enodes) 1545218134.299 * * [misc]simplify: iters left: 3 (46 enodes) 1545218134.306 * * [misc]simplify: iters left: 2 (48 enodes) 1545218134.311 * * [misc]simplify: iters left: 1 (53 enodes) 1545218134.316 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218134.316 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218134.317 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218134.317 * * [misc]simplify: iters left: 6 (18 enodes) 1545218134.320 * * [misc]simplify: iters left: 5 (28 enodes) 1545218134.324 * * [misc]simplify: iters left: 4 (33 enodes) 1545218134.329 * * [misc]simplify: iters left: 3 (39 enodes) 1545218134.333 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545218134.333 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545218134.333 * * * * [misc]progress: [ 101 / 266 ] simplifiying candidate # 1545218134.334 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1545218134.334 * * [misc]simplify: iters left: 6 (16 enodes) 1545218134.337 * * [misc]simplify: iters left: 5 (26 enodes) 1545218134.340 * * [misc]simplify: iters left: 4 (33 enodes) 1545218134.345 * * [misc]simplify: iters left: 3 (46 enodes) 1545218134.351 * * [misc]simplify: iters left: 2 (48 enodes) 1545218134.355 * * [misc]simplify: iters left: 1 (53 enodes) 1545218134.362 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218134.362 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218134.362 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218134.362 * * [misc]simplify: iters left: 6 (18 enodes) 1545218134.368 * * [misc]simplify: iters left: 5 (28 enodes) 1545218134.373 * * [misc]simplify: iters left: 4 (33 enodes) 1545218134.378 * * [misc]simplify: iters left: 3 (39 enodes) 1545218134.383 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545218134.383 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545218134.383 * * * * [misc]progress: [ 102 / 266 ] simplifiying candidate # 1545218134.383 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218134.383 * * [misc]simplify: iters left: 6 (15 enodes) 1545218134.386 * * [misc]simplify: iters left: 5 (23 enodes) 1545218134.390 * * [misc]simplify: iters left: 4 (30 enodes) 1545218134.394 * * [misc]simplify: iters left: 3 (43 enodes) 1545218134.399 * * [misc]simplify: iters left: 2 (45 enodes) 1545218134.403 * * [misc]simplify: iters left: 1 (50 enodes) 1545218134.413 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218134.413 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218134.413 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218134.413 * * [misc]simplify: iters left: 6 (15 enodes) 1545218134.416 * * [misc]simplify: iters left: 5 (23 enodes) 1545218134.419 * * [misc]simplify: iters left: 4 (30 enodes) 1545218134.423 * * [misc]simplify: iters left: 3 (36 enodes) 1545218134.427 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218134.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218134.427 * * * * [misc]progress: [ 103 / 266 ] simplifiying candidate # 1545218134.428 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218134.428 * * [misc]simplify: iters left: 6 (18 enodes) 1545218134.431 * * [misc]simplify: iters left: 5 (29 enodes) 1545218134.438 * * [misc]simplify: iters left: 4 (38 enodes) 1545218134.450 * * [misc]simplify: iters left: 3 (55 enodes) 1545218134.465 * * [misc]simplify: iters left: 2 (64 enodes) 1545218134.475 * * [misc]simplify: iters left: 1 (74 enodes) 1545218134.486 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.486 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218134.486 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.486 * * [misc]simplify: iters left: 6 (18 enodes) 1545218134.490 * * [misc]simplify: iters left: 5 (27 enodes) 1545218134.494 * * [misc]simplify: iters left: 4 (34 enodes) 1545218134.499 * * [misc]simplify: iters left: 3 (40 enodes) 1545218134.504 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218134.504 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218134.504 * * * * [misc]progress: [ 104 / 266 ] simplifiying candidate # 1545218134.504 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.504 * * [misc]simplify: iters left: 6 (17 enodes) 1545218134.507 * * [misc]simplify: iters left: 5 (26 enodes) 1545218134.511 * * [misc]simplify: iters left: 4 (33 enodes) 1545218134.516 * * [misc]simplify: iters left: 3 (46 enodes) 1545218134.523 * * [misc]simplify: iters left: 2 (48 enodes) 1545218134.531 * * [misc]simplify: iters left: 1 (53 enodes) 1545218134.541 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218134.542 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218134.542 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.542 * * [misc]simplify: iters left: 6 (18 enodes) 1545218134.548 * * [misc]simplify: iters left: 5 (27 enodes) 1545218134.554 * * [misc]simplify: iters left: 4 (34 enodes) 1545218134.563 * * [misc]simplify: iters left: 3 (40 enodes) 1545218134.572 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218134.572 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218134.572 * * * * [misc]progress: [ 105 / 266 ] simplifiying candidate # 1545218134.572 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1545218134.572 * * [misc]simplify: iters left: 6 (13 enodes) 1545218134.576 * * [misc]simplify: iters left: 5 (18 enodes) 1545218134.581 * * [misc]simplify: iters left: 4 (26 enodes) 1545218134.587 * * [misc]simplify: iters left: 3 (30 enodes) 1545218134.593 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545218134.593 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218134.593 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218134.593 * * [misc]simplify: iters left: 6 (17 enodes) 1545218134.599 * * [misc]simplify: iters left: 5 (26 enodes) 1545218134.606 * * [misc]simplify: iters left: 4 (33 enodes) 1545218134.615 * * [misc]simplify: iters left: 3 (39 enodes) 1545218134.623 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218134.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218134.623 * * * * [misc]progress: [ 106 / 266 ] simplifiying candidate # 1545218134.623 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1545218134.623 * * [misc]simplify: iters left: 6 (12 enodes) 1545218134.627 * * [misc]simplify: iters left: 5 (18 enodes) 1545218134.632 * * [misc]simplify: iters left: 4 (24 enodes) 1545218134.637 * * [misc]simplify: iters left: 3 (25 enodes) 1545218134.642 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545218134.642 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218134.642 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218134.643 * * [misc]simplify: iters left: 6 (17 enodes) 1545218134.648 * * [misc]simplify: iters left: 5 (26 enodes) 1545218134.654 * * [misc]simplify: iters left: 4 (33 enodes) 1545218134.662 * * [misc]simplify: iters left: 3 (39 enodes) 1545218134.670 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218134.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218134.670 * * * * [misc]progress: [ 107 / 266 ] simplifiying candidate # 1545218134.671 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1545218134.671 * * [misc]simplify: iters left: 6 (13 enodes) 1545218134.675 * * [misc]simplify: iters left: 5 (19 enodes) 1545218134.680 * * [misc]simplify: iters left: 4 (23 enodes) 1545218134.685 * * [misc]simplify: iters left: 3 (27 enodes) 1545218134.692 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218134.692 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218134.692 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218134.692 * * [misc]simplify: iters left: 6 (16 enodes) 1545218134.698 * * [misc]simplify: iters left: 5 (25 enodes) 1545218134.705 * * [misc]simplify: iters left: 4 (32 enodes) 1545218134.715 * * [misc]simplify: iters left: 3 (45 enodes) 1545218134.725 * * [misc]simplify: iters left: 2 (47 enodes) 1545218134.729 * * [misc]simplify: iters left: 1 (52 enodes) 1545218134.736 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218134.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1545218134.736 * * * * [misc]progress: [ 108 / 266 ] simplifiying candidate # 1545218134.737 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1545218134.737 * * [misc]simplify: iters left: 6 (17 enodes) 1545218134.740 * * [misc]simplify: iters left: 5 (27 enodes) 1545218134.744 * * [misc]simplify: iters left: 4 (34 enodes) 1545218134.749 * * [misc]simplify: iters left: 3 (40 enodes) 1545218134.756 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1545218134.756 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1545218134.757 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1545218134.757 * * [misc]simplify: iters left: 6 (15 enodes) 1545218134.762 * * [misc]simplify: iters left: 5 (22 enodes) 1545218134.768 * * [misc]simplify: iters left: 4 (26 enodes) 1545218134.776 * * [misc]simplify: iters left: 3 (30 enodes) 1545218134.783 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545218134.783 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545218134.783 * * * * [misc]progress: [ 109 / 266 ] simplifiying candidate # 1545218134.783 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218134.783 * * [misc]simplify: iters left: 6 (14 enodes) 1545218134.788 * * [misc]simplify: iters left: 5 (21 enodes) 1545218134.794 * * [misc]simplify: iters left: 4 (24 enodes) 1545218134.801 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.801 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218134.801 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.802 * * [misc]simplify: iters left: 6 (17 enodes) 1545218134.808 * * [misc]simplify: iters left: 5 (26 enodes) 1545218134.816 * * [misc]simplify: iters left: 4 (33 enodes) 1545218134.825 * * [misc]simplify: iters left: 3 (45 enodes) 1545218134.838 * * [misc]simplify: iters left: 2 (70 enodes) 1545218134.863 * * [misc]simplify: iters left: 1 (91 enodes) 1545218134.887 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.887 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218134.887 * * * * [misc]progress: [ 110 / 266 ] simplifiying candidate # 1545218134.888 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.888 * * [misc]simplify: iters left: 6 (13 enodes) 1545218134.889 * * [misc]simplify: iters left: 5 (18 enodes) 1545218134.892 * * [misc]simplify: iters left: 4 (21 enodes) 1545218134.895 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.895 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218134.895 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.895 * * [misc]simplify: iters left: 6 (17 enodes) 1545218134.898 * * [misc]simplify: iters left: 5 (26 enodes) 1545218134.902 * * [misc]simplify: iters left: 4 (33 enodes) 1545218134.907 * * [misc]simplify: iters left: 3 (45 enodes) 1545218134.919 * * [misc]simplify: iters left: 2 (70 enodes) 1545218134.943 * * [misc]simplify: iters left: 1 (91 enodes) 1545218134.973 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218134.973 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218134.973 * * * * [misc]progress: [ 111 / 266 ] simplifiying candidate # 1545218134.973 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218134.974 * * [misc]simplify: iters left: 6 (12 enodes) 1545218134.977 * * [misc]simplify: iters left: 5 (20 enodes) 1545218134.983 * * [misc]simplify: iters left: 4 (27 enodes) 1545218134.988 * * [misc]simplify: iters left: 3 (37 enodes) 1545218134.994 * * [misc]simplify: iters left: 2 (64 enodes) 1545218135.005 * * [misc]simplify: iters left: 1 (93 enodes) 1545218135.035 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218135.035 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218135.036 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218135.036 * * [misc]simplify: iters left: 6 (18 enodes) 1545218135.042 * * [misc]simplify: iters left: 5 (30 enodes) 1545218135.050 * * [misc]simplify: iters left: 4 (41 enodes) 1545218135.064 * * [misc]simplify: iters left: 3 (76 enodes) 1545218135.090 * * [misc]simplify: iters left: 2 (142 enodes) 1545218135.165 * * [misc]simplify: iters left: 1 (391 enodes) 1545218135.446 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218135.446 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218135.446 * * * * [misc]progress: [ 112 / 266 ] simplifiying candidate # 1545218135.446 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218135.446 * * [misc]simplify: iters left: 6 (12 enodes) 1545218135.450 * * [misc]simplify: iters left: 5 (20 enodes) 1545218135.456 * * [misc]simplify: iters left: 4 (27 enodes) 1545218135.464 * * [misc]simplify: iters left: 3 (37 enodes) 1545218135.476 * * [misc]simplify: iters left: 2 (64 enodes) 1545218135.497 * * [misc]simplify: iters left: 1 (93 enodes) 1545218135.529 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218135.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218135.529 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218135.529 * * [misc]simplify: iters left: 6 (18 enodes) 1545218135.536 * * [misc]simplify: iters left: 5 (30 enodes) 1545218135.544 * * [misc]simplify: iters left: 4 (41 enodes) 1545218135.558 * * [misc]simplify: iters left: 3 (76 enodes) 1545218135.580 * * [misc]simplify: iters left: 2 (142 enodes) 1545218135.645 * * [misc]simplify: iters left: 1 (391 enodes) 1545218135.921 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218135.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218135.921 * * * * [misc]progress: [ 113 / 266 ] simplifiying candidate # 1545218135.921 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218135.921 * * [misc]simplify: iters left: 6 (13 enodes) 1545218135.925 * * [misc]simplify: iters left: 5 (21 enodes) 1545218135.931 * * [misc]simplify: iters left: 4 (31 enodes) 1545218135.941 * * [misc]simplify: iters left: 3 (51 enodes) 1545218135.959 * * [misc]simplify: iters left: 2 (90 enodes) 1545218135.975 * * [misc]simplify: iters left: 1 (181 enodes) 1545218136.036 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218136.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218136.036 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218136.037 * * [misc]simplify: iters left: 6 (15 enodes) 1545218136.040 * * [misc]simplify: iters left: 5 (25 enodes) 1545218136.043 * * [misc]simplify: iters left: 4 (38 enodes) 1545218136.049 * * [misc]simplify: iters left: 3 (73 enodes) 1545218136.069 * * [misc]simplify: iters left: 2 (139 enodes) 1545218136.151 * * [misc]simplify: iters left: 1 (375 enodes) 1545218136.405 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1545218136.406 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1545218136.406 * * * * [misc]progress: [ 114 / 266 ] simplifiying candidate # 1545218136.406 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218136.406 * * [misc]simplify: iters left: 6 (16 enodes) 1545218136.408 * * [misc]simplify: iters left: 5 (29 enodes) 1545218136.413 * * [misc]simplify: iters left: 4 (50 enodes) 1545218136.421 * * [misc]simplify: iters left: 3 (70 enodes) 1545218136.446 * * [misc]simplify: iters left: 2 (169 enodes) 1545218136.549 * [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)))) 1545218136.549 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218136.549 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218136.549 * * [misc]simplify: iters left: 6 (18 enodes) 1545218136.555 * * [misc]simplify: iters left: 5 (29 enodes) 1545218136.562 * * [misc]simplify: iters left: 4 (42 enodes) 1545218136.576 * * [misc]simplify: iters left: 3 (77 enodes) 1545218136.606 * * [misc]simplify: iters left: 2 (143 enodes) 1545218136.680 * * [misc]simplify: iters left: 1 (394 enodes) 1545218136.989 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545218136.990 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545218136.990 * * * * [misc]progress: [ 115 / 266 ] simplifiying candidate # 1545218136.990 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218136.990 * * [misc]simplify: iters left: 6 (15 enodes) 1545218136.995 * * [misc]simplify: iters left: 5 (24 enodes) 1545218137.002 * * [misc]simplify: iters left: 4 (34 enodes) 1545218137.012 * * [misc]simplify: iters left: 3 (54 enodes) 1545218137.032 * * [misc]simplify: iters left: 2 (93 enodes) 1545218137.060 * * [misc]simplify: iters left: 1 (182 enodes) 1545218137.117 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218137.117 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218137.117 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218137.117 * * [misc]simplify: iters left: 6 (18 enodes) 1545218137.124 * * [misc]simplify: iters left: 5 (29 enodes) 1545218137.134 * * [misc]simplify: iters left: 4 (42 enodes) 1545218137.147 * * [misc]simplify: iters left: 3 (77 enodes) 1545218137.174 * * [misc]simplify: iters left: 2 (143 enodes) 1545218137.236 * * [misc]simplify: iters left: 1 (394 enodes) 1545218137.487 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545218137.487 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545218137.487 * * * * [misc]progress: [ 116 / 266 ] simplifiying candidate # 1545218137.487 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218137.488 * * [misc]simplify: iters left: 6 (7 enodes) 1545218137.489 * * [misc]simplify: iters left: 5 (13 enodes) 1545218137.491 * * [misc]simplify: iters left: 4 (22 enodes) 1545218137.494 * * [misc]simplify: iters left: 3 (24 enodes) 1545218137.496 * * [misc]simplify: iters left: 2 (29 enodes) 1545218137.499 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1545218137.499 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218137.499 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218137.499 * * [misc]simplify: iters left: 6 (17 enodes) 1545218137.502 * * [misc]simplify: iters left: 5 (28 enodes) 1545218137.506 * * [misc]simplify: iters left: 4 (41 enodes) 1545218137.519 * * [misc]simplify: iters left: 3 (76 enodes) 1545218137.533 * * [misc]simplify: iters left: 2 (142 enodes) 1545218137.588 * * [misc]simplify: iters left: 1 (380 enodes) 1545218137.931 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218137.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218137.931 * * * * [misc]progress: [ 117 / 266 ] simplifiying candidate # 1545218137.932 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218137.932 * * [misc]simplify: iters left: 6 (11 enodes) 1545218137.933 * * [misc]simplify: iters left: 5 (17 enodes) 1545218137.935 * * [misc]simplify: iters left: 4 (20 enodes) 1545218137.938 * * [misc]simplify: iters left: 3 (22 enodes) 1545218137.943 * * [misc]simplify: iters left: 2 (34 enodes) 1545218137.954 * * [misc]simplify: iters left: 1 (42 enodes) 1545218137.963 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545218137.963 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218137.964 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218137.964 * * [misc]simplify: iters left: 6 (18 enodes) 1545218137.969 * * [misc]simplify: iters left: 5 (30 enodes) 1545218137.973 * * [misc]simplify: iters left: 4 (41 enodes) 1545218137.980 * * [misc]simplify: iters left: 3 (76 enodes) 1545218137.993 * * [misc]simplify: iters left: 2 (142 enodes) 1545218138.049 * * [misc]simplify: iters left: 1 (391 enodes) 1545218138.356 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218138.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218138.356 * * * * [misc]progress: [ 118 / 266 ] simplifiying candidate # 1545218138.356 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218138.356 * * [misc]simplify: iters left: 6 (11 enodes) 1545218138.360 * * [misc]simplify: iters left: 5 (17 enodes) 1545218138.365 * * [misc]simplify: iters left: 4 (20 enodes) 1545218138.370 * * [misc]simplify: iters left: 3 (22 enodes) 1545218138.376 * * [misc]simplify: iters left: 2 (34 enodes) 1545218138.385 * * [misc]simplify: iters left: 1 (42 enodes) 1545218138.394 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545218138.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218138.395 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218138.395 * * [misc]simplify: iters left: 6 (18 enodes) 1545218138.401 * * [misc]simplify: iters left: 5 (30 enodes) 1545218138.409 * * [misc]simplify: iters left: 4 (41 enodes) 1545218138.420 * * [misc]simplify: iters left: 3 (76 enodes) 1545218138.434 * * [misc]simplify: iters left: 2 (142 enodes) 1545218138.503 * * [misc]simplify: iters left: 1 (391 enodes) 1545218138.814 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218138.814 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218138.814 * * * * [misc]progress: [ 119 / 266 ] simplifiying candidate # 1545218138.814 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218138.814 * * [misc]simplify: iters left: 6 (12 enodes) 1545218138.816 * * [misc]simplify: iters left: 5 (18 enodes) 1545218138.818 * * [misc]simplify: iters left: 4 (24 enodes) 1545218138.824 * * [misc]simplify: iters left: 3 (32 enodes) 1545218138.834 * * [misc]simplify: iters left: 2 (41 enodes) 1545218138.844 * * [misc]simplify: iters left: 1 (51 enodes) 1545218138.855 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218138.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218138.855 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218138.856 * * [misc]simplify: iters left: 6 (15 enodes) 1545218138.861 * * [misc]simplify: iters left: 5 (25 enodes) 1545218138.869 * * [misc]simplify: iters left: 4 (38 enodes) 1545218138.882 * * [misc]simplify: iters left: 3 (73 enodes) 1545218138.903 * * [misc]simplify: iters left: 2 (139 enodes) 1545218138.982 * * [misc]simplify: iters left: 1 (375 enodes) 1545218139.295 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1545218139.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1545218139.295 * * * * [misc]progress: [ 120 / 266 ] simplifiying candidate # 1545218139.296 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218139.296 * * [misc]simplify: iters left: 6 (15 enodes) 1545218139.301 * * [misc]simplify: iters left: 5 (24 enodes) 1545218139.307 * * [misc]simplify: iters left: 4 (32 enodes) 1545218139.316 * * [misc]simplify: iters left: 3 (43 enodes) 1545218139.330 * * [misc]simplify: iters left: 2 (69 enodes) 1545218139.341 * * [misc]simplify: iters left: 1 (119 enodes) 1545218139.373 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218139.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218139.373 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218139.373 * * [misc]simplify: iters left: 6 (18 enodes) 1545218139.376 * * [misc]simplify: iters left: 5 (29 enodes) 1545218139.380 * * [misc]simplify: iters left: 4 (42 enodes) 1545218139.387 * * [misc]simplify: iters left: 3 (77 enodes) 1545218139.404 * * [misc]simplify: iters left: 2 (143 enodes) 1545218139.481 * * [misc]simplify: iters left: 1 (394 enodes) 1545218139.752 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545218139.752 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545218139.752 * * * * [misc]progress: [ 121 / 266 ] simplifiying candidate # 1545218139.752 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218139.752 * * [misc]simplify: iters left: 6 (14 enodes) 1545218139.757 * * [misc]simplify: iters left: 5 (21 enodes) 1545218139.762 * * [misc]simplify: iters left: 4 (27 enodes) 1545218139.770 * * [misc]simplify: iters left: 3 (35 enodes) 1545218139.781 * * [misc]simplify: iters left: 2 (43 enodes) 1545218139.790 * * [misc]simplify: iters left: 1 (56 enodes) 1545218139.807 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218139.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218139.808 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218139.808 * * [misc]simplify: iters left: 6 (18 enodes) 1545218139.815 * * [misc]simplify: iters left: 5 (29 enodes) 1545218139.823 * * [misc]simplify: iters left: 4 (42 enodes) 1545218139.837 * * [misc]simplify: iters left: 3 (77 enodes) 1545218139.854 * * [misc]simplify: iters left: 2 (143 enodes) 1545218139.929 * * [misc]simplify: iters left: 1 (394 enodes) 1545218140.179 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545218140.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545218140.179 * * * * [misc]progress: [ 122 / 266 ] simplifiying candidate # 1545218140.179 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1545218140.179 * * [misc]simplify: iters left: 6 (6 enodes) 1545218140.180 * * [misc]simplify: iters left: 5 (10 enodes) 1545218140.182 * * [misc]simplify: iters left: 4 (16 enodes) 1545218140.185 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545218140.185 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218140.185 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218140.185 * * [misc]simplify: iters left: 6 (17 enodes) 1545218140.188 * * [misc]simplify: iters left: 5 (28 enodes) 1545218140.192 * * [misc]simplify: iters left: 4 (41 enodes) 1545218140.198 * * [misc]simplify: iters left: 3 (76 enodes) 1545218140.216 * * [misc]simplify: iters left: 2 (142 enodes) 1545218140.281 * * [misc]simplify: iters left: 1 (380 enodes) 1545218140.584 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218140.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218140.585 * * * * [misc]progress: [ 123 / 266 ] simplifiying candidate # 1545218140.585 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545218140.585 * * [misc]simplify: iters left: 6 (8 enodes) 1545218140.587 * * [misc]simplify: iters left: 5 (14 enodes) 1545218140.588 * * [misc]simplify: iters left: 4 (15 enodes) 1545218140.590 * * [misc]simplify: iters left: 3 (19 enodes) 1545218140.592 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545218140.592 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218140.593 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218140.593 * * [misc]simplify: iters left: 6 (17 enodes) 1545218140.598 * * [misc]simplify: iters left: 5 (29 enodes) 1545218140.604 * * [misc]simplify: iters left: 4 (40 enodes) 1545218140.617 * * [misc]simplify: iters left: 3 (75 enodes) 1545218140.644 * * [misc]simplify: iters left: 2 (141 enodes) 1545218140.712 * * [misc]simplify: iters left: 1 (379 enodes) 1545218141.002 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218141.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218141.002 * * * * [misc]progress: [ 124 / 266 ] simplifiying candidate # 1545218141.002 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545218141.003 * * [misc]simplify: iters left: 6 (8 enodes) 1545218141.006 * * [misc]simplify: iters left: 5 (14 enodes) 1545218141.009 * * [misc]simplify: iters left: 4 (15 enodes) 1545218141.014 * * [misc]simplify: iters left: 3 (19 enodes) 1545218141.018 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545218141.018 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218141.018 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218141.018 * * [misc]simplify: iters left: 6 (17 enodes) 1545218141.025 * * [misc]simplify: iters left: 5 (29 enodes) 1545218141.033 * * [misc]simplify: iters left: 4 (40 enodes) 1545218141.046 * * [misc]simplify: iters left: 3 (75 enodes) 1545218141.072 * * [misc]simplify: iters left: 2 (141 enodes) 1545218141.159 * * [misc]simplify: iters left: 1 (379 enodes) 1545218141.419 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218141.419 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218141.419 * * * * [misc]progress: [ 125 / 266 ] simplifiying candidate # 1545218141.419 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218141.420 * * [misc]simplify: iters left: 6 (10 enodes) 1545218141.424 * * [misc]simplify: iters left: 5 (16 enodes) 1545218141.428 * * [misc]simplify: iters left: 4 (20 enodes) 1545218141.434 * * [misc]simplify: iters left: 3 (24 enodes) 1545218141.440 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545218141.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218141.440 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218141.440 * * [misc]simplify: iters left: 6 (14 enodes) 1545218141.445 * * [misc]simplify: iters left: 5 (24 enodes) 1545218141.452 * * [misc]simplify: iters left: 4 (37 enodes) 1545218141.464 * * [misc]simplify: iters left: 3 (72 enodes) 1545218141.490 * * [misc]simplify: iters left: 2 (138 enodes) 1545218141.562 * * [misc]simplify: iters left: 1 (391 enodes) 1545218141.801 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1545218141.801 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545218141.801 * * * * [misc]progress: [ 126 / 266 ] simplifiying candidate # 1545218141.801 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218141.801 * * [misc]simplify: iters left: 6 (13 enodes) 1545218141.806 * * [misc]simplify: iters left: 5 (22 enodes) 1545218141.812 * * [misc]simplify: iters left: 4 (26 enodes) 1545218141.819 * * [misc]simplify: iters left: 3 (32 enodes) 1545218141.827 * * [misc]simplify: iters left: 2 (34 enodes) 1545218141.835 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218141.835 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218141.835 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218141.836 * * [misc]simplify: iters left: 6 (17 enodes) 1545218141.842 * * [misc]simplify: iters left: 5 (28 enodes) 1545218141.850 * * [misc]simplify: iters left: 4 (41 enodes) 1545218141.863 * * [misc]simplify: iters left: 3 (76 enodes) 1545218141.883 * * [misc]simplify: iters left: 2 (142 enodes) 1545218141.928 * * [misc]simplify: iters left: 1 (382 enodes) 1545218142.268 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1545218142.268 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1545218142.268 * * * * [misc]progress: [ 127 / 266 ] simplifiying candidate # 1545218142.268 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218142.268 * * [misc]simplify: iters left: 6 (12 enodes) 1545218142.273 * * [misc]simplify: iters left: 5 (19 enodes) 1545218142.278 * * [misc]simplify: iters left: 4 (23 enodes) 1545218142.284 * * [misc]simplify: iters left: 3 (27 enodes) 1545218142.293 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1545218142.293 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218142.293 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218142.293 * * [misc]simplify: iters left: 6 (17 enodes) 1545218142.299 * * [misc]simplify: iters left: 5 (28 enodes) 1545218142.307 * * [misc]simplify: iters left: 4 (41 enodes) 1545218142.321 * * [misc]simplify: iters left: 3 (76 enodes) 1545218142.349 * * [misc]simplify: iters left: 2 (142 enodes) 1545218142.443 * * [misc]simplify: iters left: 1 (382 enodes) 1545218142.749 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1545218142.749 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1545218142.749 * * * * [misc]progress: [ 128 / 266 ] simplifiying candidate # 1545218142.749 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1545218142.749 * * [misc]simplify: iters left: 4 (3 enodes) 1545218142.750 * * [misc]simplify: iters left: 3 (5 enodes) 1545218142.750 * [exit]simplify: Simplified to 1 1545218142.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218142.751 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218142.751 * * [misc]simplify: iters left: 6 (16 enodes) 1545218142.754 * * [misc]simplify: iters left: 5 (27 enodes) 1545218142.758 * * [misc]simplify: iters left: 4 (40 enodes) 1545218142.764 * * [misc]simplify: iters left: 3 (75 enodes) 1545218142.778 * * [misc]simplify: iters left: 2 (141 enodes) 1545218142.840 * * [misc]simplify: iters left: 1 (376 enodes) 1545218143.142 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545218143.143 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1545218143.143 * * * * [misc]progress: [ 129 / 266 ] simplifiying candidate # 1545218143.143 * [enter]simplify: Simplifying (/ 1 1) 1545218143.143 * * [misc]simplify: iters left: 2 (2 enodes) 1545218143.144 * * [misc]simplify: iters left: 1 (4 enodes) 1545218143.145 * [exit]simplify: Simplified to 1 1545218143.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218143.145 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218143.145 * * [misc]simplify: iters left: 6 (16 enodes) 1545218143.151 * * [misc]simplify: iters left: 5 (27 enodes) 1545218143.158 * * [misc]simplify: iters left: 4 (40 enodes) 1545218143.172 * * [misc]simplify: iters left: 3 (75 enodes) 1545218143.201 * * [misc]simplify: iters left: 2 (141 enodes) 1545218143.294 * * [misc]simplify: iters left: 1 (376 enodes) 1545218143.590 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545218143.590 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1545218143.590 * * * * [misc]progress: [ 130 / 266 ] simplifiying candidate # 1545218143.590 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545218143.590 * * [misc]simplify: iters left: 3 (4 enodes) 1545218143.592 * * [misc]simplify: iters left: 2 (6 enodes) 1545218143.593 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545218143.593 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218143.593 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218143.594 * * [misc]simplify: iters left: 6 (15 enodes) 1545218143.597 * * [misc]simplify: iters left: 5 (26 enodes) 1545218143.601 * * [misc]simplify: iters left: 4 (35 enodes) 1545218143.607 * * [misc]simplify: iters left: 3 (61 enodes) 1545218143.618 * * [misc]simplify: iters left: 2 (82 enodes) 1545218143.630 * * [misc]simplify: iters left: 1 (85 enodes) 1545218143.647 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545218143.647 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545218143.647 * * * * [misc]progress: [ 131 / 266 ] simplifiying candidate # 1545218143.648 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1545218143.648 * * [misc]simplify: iters left: 6 (10 enodes) 1545218143.651 * * [misc]simplify: iters left: 5 (16 enodes) 1545218143.655 * * [misc]simplify: iters left: 4 (19 enodes) 1545218143.660 * * [misc]simplify: iters left: 3 (21 enodes) 1545218143.667 * * [misc]simplify: iters left: 2 (33 enodes) 1545218143.675 * * [misc]simplify: iters left: 1 (41 enodes) 1545218143.686 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1545218143.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1545218143.686 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1545218143.686 * * [misc]simplify: iters left: 6 (14 enodes) 1545218143.691 * * [misc]simplify: iters left: 5 (23 enodes) 1545218143.698 * * [misc]simplify: iters left: 4 (30 enodes) 1545218143.703 * * [misc]simplify: iters left: 3 (42 enodes) 1545218143.709 * * [misc]simplify: iters left: 2 (67 enodes) 1545218143.721 * * [misc]simplify: iters left: 1 (88 enodes) 1545218143.735 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1545218143.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1545218143.735 * * * * [misc]progress: [ 132 / 266 ] simplifiying candidate # 1545218143.735 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218143.735 * * [misc]simplify: iters left: 6 (14 enodes) 1545218143.737 * * [misc]simplify: iters left: 5 (21 enodes) 1545218143.740 * * [misc]simplify: iters left: 4 (24 enodes) 1545218143.743 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218143.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218143.743 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218143.743 * * [misc]simplify: iters left: 6 (17 enodes) 1545218143.746 * * [misc]simplify: iters left: 5 (26 enodes) 1545218143.750 * * [misc]simplify: iters left: 4 (33 enodes) 1545218143.755 * * [misc]simplify: iters left: 3 (45 enodes) 1545218143.767 * * [misc]simplify: iters left: 2 (70 enodes) 1545218143.788 * * [misc]simplify: iters left: 1 (91 enodes) 1545218143.803 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218143.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218143.803 * * * * [misc]progress: [ 133 / 266 ] simplifiying candidate # 1545218143.803 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218143.803 * * [misc]simplify: iters left: 6 (13 enodes) 1545218143.805 * * [misc]simplify: iters left: 5 (18 enodes) 1545218143.808 * * [misc]simplify: iters left: 4 (21 enodes) 1545218143.810 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218143.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218143.811 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218143.811 * * [misc]simplify: iters left: 6 (17 enodes) 1545218143.814 * * [misc]simplify: iters left: 5 (26 enodes) 1545218143.817 * * [misc]simplify: iters left: 4 (33 enodes) 1545218143.822 * * [misc]simplify: iters left: 3 (45 enodes) 1545218143.829 * * [misc]simplify: iters left: 2 (70 enodes) 1545218143.841 * * [misc]simplify: iters left: 1 (91 enodes) 1545218143.857 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218143.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218143.857 * * * * [misc]progress: [ 134 / 266 ] simplifiying candidate # 1545218143.858 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218143.858 * * [misc]simplify: iters left: 6 (12 enodes) 1545218143.859 * * [misc]simplify: iters left: 5 (20 enodes) 1545218143.862 * * [misc]simplify: iters left: 4 (27 enodes) 1545218143.866 * * [misc]simplify: iters left: 3 (37 enodes) 1545218143.873 * * [misc]simplify: iters left: 2 (64 enodes) 1545218143.883 * * [misc]simplify: iters left: 1 (93 enodes) 1545218143.898 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218143.898 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218143.898 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218143.898 * * [misc]simplify: iters left: 6 (18 enodes) 1545218143.904 * * [misc]simplify: iters left: 5 (30 enodes) 1545218143.912 * * [misc]simplify: iters left: 4 (41 enodes) 1545218143.925 * * [misc]simplify: iters left: 3 (76 enodes) 1545218143.954 * * [misc]simplify: iters left: 2 (142 enodes) 1545218144.054 * * [misc]simplify: iters left: 1 (391 enodes) 1545218144.371 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218144.371 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218144.371 * * * * [misc]progress: [ 135 / 266 ] simplifiying candidate # 1545218144.371 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218144.372 * * [misc]simplify: iters left: 6 (12 enodes) 1545218144.376 * * [misc]simplify: iters left: 5 (20 enodes) 1545218144.381 * * [misc]simplify: iters left: 4 (27 enodes) 1545218144.389 * * [misc]simplify: iters left: 3 (37 enodes) 1545218144.402 * * [misc]simplify: iters left: 2 (64 enodes) 1545218144.423 * * [misc]simplify: iters left: 1 (93 enodes) 1545218144.454 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218144.454 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218144.454 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218144.454 * * [misc]simplify: iters left: 6 (18 enodes) 1545218144.460 * * [misc]simplify: iters left: 5 (30 enodes) 1545218144.464 * * [misc]simplify: iters left: 4 (41 enodes) 1545218144.473 * * [misc]simplify: iters left: 3 (76 enodes) 1545218144.486 * * [misc]simplify: iters left: 2 (142 enodes) 1545218144.557 * * [misc]simplify: iters left: 1 (391 enodes) 1545218144.912 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218144.913 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218144.913 * * * * [misc]progress: [ 136 / 266 ] simplifiying candidate # 1545218144.913 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218144.913 * * [misc]simplify: iters left: 6 (13 enodes) 1545218144.917 * * [misc]simplify: iters left: 5 (21 enodes) 1545218144.923 * * [misc]simplify: iters left: 4 (31 enodes) 1545218144.932 * * [misc]simplify: iters left: 3 (51 enodes) 1545218144.950 * * [misc]simplify: iters left: 2 (90 enodes) 1545218144.977 * * [misc]simplify: iters left: 1 (181 enodes) 1545218145.043 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218145.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218145.043 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218145.043 * * [misc]simplify: iters left: 6 (15 enodes) 1545218145.046 * * [misc]simplify: iters left: 5 (25 enodes) 1545218145.049 * * [misc]simplify: iters left: 4 (38 enodes) 1545218145.056 * * [misc]simplify: iters left: 3 (73 enodes) 1545218145.082 * * [misc]simplify: iters left: 2 (139 enodes) 1545218145.178 * * [misc]simplify: iters left: 1 (375 enodes) 1545218145.469 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1545218145.469 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1545218145.469 * * * * [misc]progress: [ 137 / 266 ] simplifiying candidate # 1545218145.469 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218145.469 * * [misc]simplify: iters left: 6 (16 enodes) 1545218145.475 * * [misc]simplify: iters left: 5 (29 enodes) 1545218145.483 * * [misc]simplify: iters left: 4 (50 enodes) 1545218145.498 * * [misc]simplify: iters left: 3 (70 enodes) 1545218145.514 * * [misc]simplify: iters left: 2 (169 enodes) 1545218145.591 * [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)))) 1545218145.591 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218145.591 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218145.592 * * [misc]simplify: iters left: 6 (18 enodes) 1545218145.598 * * [misc]simplify: iters left: 5 (29 enodes) 1545218145.606 * * [misc]simplify: iters left: 4 (42 enodes) 1545218145.623 * * [misc]simplify: iters left: 3 (77 enodes) 1545218145.639 * * [misc]simplify: iters left: 2 (143 enodes) 1545218145.706 * * [misc]simplify: iters left: 1 (394 enodes) 1545218146.001 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545218146.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545218146.002 * * * * [misc]progress: [ 138 / 266 ] simplifiying candidate # 1545218146.002 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218146.002 * * [misc]simplify: iters left: 6 (15 enodes) 1545218146.004 * * [misc]simplify: iters left: 5 (24 enodes) 1545218146.010 * * [misc]simplify: iters left: 4 (34 enodes) 1545218146.020 * * [misc]simplify: iters left: 3 (54 enodes) 1545218146.036 * * [misc]simplify: iters left: 2 (93 enodes) 1545218146.050 * * [misc]simplify: iters left: 1 (182 enodes) 1545218146.110 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218146.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218146.110 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218146.110 * * [misc]simplify: iters left: 6 (18 enodes) 1545218146.113 * * [misc]simplify: iters left: 5 (29 enodes) 1545218146.117 * * [misc]simplify: iters left: 4 (42 enodes) 1545218146.124 * * [misc]simplify: iters left: 3 (77 enodes) 1545218146.139 * * [misc]simplify: iters left: 2 (143 enodes) 1545218146.236 * * [misc]simplify: iters left: 1 (394 enodes) 1545218146.507 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545218146.507 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545218146.507 * * * * [misc]progress: [ 139 / 266 ] simplifiying candidate # 1545218146.507 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218146.507 * * [misc]simplify: iters left: 6 (7 enodes) 1545218146.508 * * [misc]simplify: iters left: 5 (13 enodes) 1545218146.511 * * [misc]simplify: iters left: 4 (22 enodes) 1545218146.513 * * [misc]simplify: iters left: 3 (24 enodes) 1545218146.516 * * [misc]simplify: iters left: 2 (29 enodes) 1545218146.519 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1545218146.519 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218146.519 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218146.519 * * [misc]simplify: iters left: 6 (17 enodes) 1545218146.526 * * [misc]simplify: iters left: 5 (28 enodes) 1545218146.534 * * [misc]simplify: iters left: 4 (41 enodes) 1545218146.547 * * [misc]simplify: iters left: 3 (76 enodes) 1545218146.574 * * [misc]simplify: iters left: 2 (142 enodes) 1545218146.645 * * [misc]simplify: iters left: 1 (380 enodes) 1545218146.954 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218146.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218146.954 * * * * [misc]progress: [ 140 / 266 ] simplifiying candidate # 1545218146.955 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218146.955 * * [misc]simplify: iters left: 6 (11 enodes) 1545218146.958 * * [misc]simplify: iters left: 5 (17 enodes) 1545218146.962 * * [misc]simplify: iters left: 4 (20 enodes) 1545218146.968 * * [misc]simplify: iters left: 3 (22 enodes) 1545218146.974 * * [misc]simplify: iters left: 2 (34 enodes) 1545218146.983 * * [misc]simplify: iters left: 1 (42 enodes) 1545218146.992 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545218146.992 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218146.992 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218146.992 * * [misc]simplify: iters left: 6 (18 enodes) 1545218146.998 * * [misc]simplify: iters left: 5 (30 enodes) 1545218147.006 * * [misc]simplify: iters left: 4 (41 enodes) 1545218147.020 * * [misc]simplify: iters left: 3 (76 enodes) 1545218147.046 * * [misc]simplify: iters left: 2 (142 enodes) 1545218147.147 * * [misc]simplify: iters left: 1 (391 enodes) 1545218147.425 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218147.426 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218147.426 * * * * [misc]progress: [ 141 / 266 ] simplifiying candidate # 1545218147.426 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218147.426 * * [misc]simplify: iters left: 6 (11 enodes) 1545218147.427 * * [misc]simplify: iters left: 5 (17 enodes) 1545218147.429 * * [misc]simplify: iters left: 4 (20 enodes) 1545218147.432 * * [misc]simplify: iters left: 3 (22 enodes) 1545218147.435 * * [misc]simplify: iters left: 2 (34 enodes) 1545218147.442 * * [misc]simplify: iters left: 1 (42 enodes) 1545218147.446 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545218147.446 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218147.446 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218147.446 * * [misc]simplify: iters left: 6 (18 enodes) 1545218147.450 * * [misc]simplify: iters left: 5 (30 enodes) 1545218147.454 * * [misc]simplify: iters left: 4 (41 enodes) 1545218147.466 * * [misc]simplify: iters left: 3 (76 enodes) 1545218147.492 * * [misc]simplify: iters left: 2 (142 enodes) 1545218147.546 * * [misc]simplify: iters left: 1 (391 enodes) 1545218147.842 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218147.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218147.842 * * * * [misc]progress: [ 142 / 266 ] simplifiying candidate # 1545218147.843 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218147.843 * * [misc]simplify: iters left: 6 (12 enodes) 1545218147.847 * * [misc]simplify: iters left: 5 (18 enodes) 1545218147.852 * * [misc]simplify: iters left: 4 (24 enodes) 1545218147.859 * * [misc]simplify: iters left: 3 (32 enodes) 1545218147.868 * * [misc]simplify: iters left: 2 (41 enodes) 1545218147.878 * * [misc]simplify: iters left: 1 (51 enodes) 1545218147.890 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218147.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218147.890 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218147.890 * * [misc]simplify: iters left: 6 (15 enodes) 1545218147.898 * * [misc]simplify: iters left: 5 (25 enodes) 1545218147.905 * * [misc]simplify: iters left: 4 (38 enodes) 1545218147.918 * * [misc]simplify: iters left: 3 (73 enodes) 1545218147.943 * * [misc]simplify: iters left: 2 (139 enodes) 1545218148.040 * * [misc]simplify: iters left: 1 (375 enodes) 1545218148.329 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1545218148.329 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1545218148.330 * * * * [misc]progress: [ 143 / 266 ] simplifiying candidate # 1545218148.330 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218148.330 * * [misc]simplify: iters left: 6 (15 enodes) 1545218148.332 * * [misc]simplify: iters left: 5 (24 enodes) 1545218148.335 * * [misc]simplify: iters left: 4 (32 enodes) 1545218148.340 * * [misc]simplify: iters left: 3 (43 enodes) 1545218148.346 * * [misc]simplify: iters left: 2 (69 enodes) 1545218148.360 * * [misc]simplify: iters left: 1 (119 enodes) 1545218148.394 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218148.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218148.394 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218148.394 * * [misc]simplify: iters left: 6 (18 enodes) 1545218148.397 * * [misc]simplify: iters left: 5 (29 enodes) 1545218148.403 * * [misc]simplify: iters left: 4 (42 enodes) 1545218148.419 * * [misc]simplify: iters left: 3 (77 enodes) 1545218148.446 * * [misc]simplify: iters left: 2 (143 enodes) 1545218148.538 * * [misc]simplify: iters left: 1 (394 enodes) 1545218148.801 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545218148.801 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545218148.802 * * * * [misc]progress: [ 144 / 266 ] simplifiying candidate # 1545218148.802 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218148.802 * * [misc]simplify: iters left: 6 (14 enodes) 1545218148.806 * * [misc]simplify: iters left: 5 (21 enodes) 1545218148.814 * * [misc]simplify: iters left: 4 (27 enodes) 1545218148.821 * * [misc]simplify: iters left: 3 (35 enodes) 1545218148.832 * * [misc]simplify: iters left: 2 (43 enodes) 1545218148.842 * * [misc]simplify: iters left: 1 (56 enodes) 1545218148.857 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218148.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218148.857 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218148.857 * * [misc]simplify: iters left: 6 (18 enodes) 1545218148.864 * * [misc]simplify: iters left: 5 (29 enodes) 1545218148.872 * * [misc]simplify: iters left: 4 (42 enodes) 1545218148.886 * * [misc]simplify: iters left: 3 (77 enodes) 1545218148.913 * * [misc]simplify: iters left: 2 (143 enodes) 1545218149.012 * * [misc]simplify: iters left: 1 (394 enodes) 1545218149.278 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545218149.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545218149.278 * * * * [misc]progress: [ 145 / 266 ] simplifiying candidate # 1545218149.278 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1545218149.279 * * [misc]simplify: iters left: 6 (6 enodes) 1545218149.281 * * [misc]simplify: iters left: 5 (10 enodes) 1545218149.284 * * [misc]simplify: iters left: 4 (16 enodes) 1545218149.288 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545218149.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218149.288 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218149.288 * * [misc]simplify: iters left: 6 (17 enodes) 1545218149.295 * * [misc]simplify: iters left: 5 (28 enodes) 1545218149.302 * * [misc]simplify: iters left: 4 (41 enodes) 1545218149.316 * * [misc]simplify: iters left: 3 (76 enodes) 1545218149.343 * * [misc]simplify: iters left: 2 (142 enodes) 1545218149.418 * * [misc]simplify: iters left: 1 (380 enodes) 1545218149.707 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545218149.707 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545218149.707 * * * * [misc]progress: [ 146 / 266 ] simplifiying candidate # 1545218149.707 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545218149.707 * * [misc]simplify: iters left: 6 (8 enodes) 1545218149.709 * * [misc]simplify: iters left: 5 (14 enodes) 1545218149.711 * * [misc]simplify: iters left: 4 (15 enodes) 1545218149.713 * * [misc]simplify: iters left: 3 (19 enodes) 1545218149.715 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545218149.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218149.715 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218149.715 * * [misc]simplify: iters left: 6 (17 enodes) 1545218149.718 * * [misc]simplify: iters left: 5 (29 enodes) 1545218149.722 * * [misc]simplify: iters left: 4 (40 enodes) 1545218149.729 * * [misc]simplify: iters left: 3 (75 enodes) 1545218149.745 * * [misc]simplify: iters left: 2 (141 enodes) 1545218149.814 * * [misc]simplify: iters left: 1 (379 enodes) 1545218150.079 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218150.080 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218150.080 * * * * [misc]progress: [ 147 / 266 ] simplifiying candidate # 1545218150.080 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545218150.080 * * [misc]simplify: iters left: 6 (8 enodes) 1545218150.083 * * [misc]simplify: iters left: 5 (14 enodes) 1545218150.087 * * [misc]simplify: iters left: 4 (15 enodes) 1545218150.091 * * [misc]simplify: iters left: 3 (19 enodes) 1545218150.094 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545218150.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218150.095 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218150.095 * * [misc]simplify: iters left: 6 (17 enodes) 1545218150.101 * * [misc]simplify: iters left: 5 (29 enodes) 1545218150.109 * * [misc]simplify: iters left: 4 (40 enodes) 1545218150.122 * * [misc]simplify: iters left: 3 (75 enodes) 1545218150.148 * * [misc]simplify: iters left: 2 (141 enodes) 1545218150.223 * * [misc]simplify: iters left: 1 (379 enodes) 1545218150.468 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218150.468 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218150.468 * * * * [misc]progress: [ 148 / 266 ] simplifiying candidate # 1545218150.469 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218150.469 * * [misc]simplify: iters left: 6 (10 enodes) 1545218150.473 * * [misc]simplify: iters left: 5 (16 enodes) 1545218150.477 * * [misc]simplify: iters left: 4 (20 enodes) 1545218150.483 * * [misc]simplify: iters left: 3 (24 enodes) 1545218150.488 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545218150.488 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218150.488 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218150.488 * * [misc]simplify: iters left: 6 (14 enodes) 1545218150.493 * * [misc]simplify: iters left: 5 (24 enodes) 1545218150.500 * * [misc]simplify: iters left: 4 (37 enodes) 1545218150.513 * * [misc]simplify: iters left: 3 (72 enodes) 1545218150.542 * * [misc]simplify: iters left: 2 (138 enodes) 1545218150.616 * * [misc]simplify: iters left: 1 (391 enodes) 1545218150.896 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1545218150.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545218150.896 * * * * [misc]progress: [ 149 / 266 ] simplifiying candidate # 1545218150.896 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218150.896 * * [misc]simplify: iters left: 6 (13 enodes) 1545218150.899 * * [misc]simplify: iters left: 5 (22 enodes) 1545218150.902 * * [misc]simplify: iters left: 4 (26 enodes) 1545218150.906 * * [misc]simplify: iters left: 3 (32 enodes) 1545218150.910 * * [misc]simplify: iters left: 2 (34 enodes) 1545218150.916 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218150.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218150.916 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218150.917 * * [misc]simplify: iters left: 6 (17 enodes) 1545218150.923 * * [misc]simplify: iters left: 5 (28 enodes) 1545218150.927 * * [misc]simplify: iters left: 4 (41 enodes) 1545218150.935 * * [misc]simplify: iters left: 3 (76 enodes) 1545218150.948 * * [misc]simplify: iters left: 2 (142 enodes) 1545218151.003 * * [misc]simplify: iters left: 1 (382 enodes) 1545218151.377 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1545218151.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1545218151.377 * * * * [misc]progress: [ 150 / 266 ] simplifiying candidate # 1545218151.377 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218151.377 * * [misc]simplify: iters left: 6 (12 enodes) 1545218151.382 * * [misc]simplify: iters left: 5 (19 enodes) 1545218151.387 * * [misc]simplify: iters left: 4 (23 enodes) 1545218151.394 * * [misc]simplify: iters left: 3 (27 enodes) 1545218151.400 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1545218151.400 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218151.401 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218151.401 * * [misc]simplify: iters left: 6 (17 enodes) 1545218151.407 * * [misc]simplify: iters left: 5 (28 enodes) 1545218151.414 * * [misc]simplify: iters left: 4 (41 enodes) 1545218151.428 * * [misc]simplify: iters left: 3 (76 enodes) 1545218151.455 * * [misc]simplify: iters left: 2 (142 enodes) 1545218151.519 * * [misc]simplify: iters left: 1 (382 enodes) 1545218151.875 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1545218151.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1545218151.875 * * * * [misc]progress: [ 151 / 266 ] simplifiying candidate # 1545218151.876 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1545218151.876 * * [misc]simplify: iters left: 4 (3 enodes) 1545218151.877 * * [misc]simplify: iters left: 3 (5 enodes) 1545218151.877 * [exit]simplify: Simplified to 1 1545218151.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218151.878 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218151.878 * * [misc]simplify: iters left: 6 (16 enodes) 1545218151.883 * * [misc]simplify: iters left: 5 (27 enodes) 1545218151.890 * * [misc]simplify: iters left: 4 (40 enodes) 1545218151.902 * * [misc]simplify: iters left: 3 (75 enodes) 1545218151.928 * * [misc]simplify: iters left: 2 (141 enodes) 1545218151.986 * * [misc]simplify: iters left: 1 (376 enodes) 1545218152.269 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545218152.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1545218152.269 * * * * [misc]progress: [ 152 / 266 ] simplifiying candidate # 1545218152.269 * [enter]simplify: Simplifying (/ 1 1) 1545218152.270 * * [misc]simplify: iters left: 2 (2 enodes) 1545218152.270 * * [misc]simplify: iters left: 1 (4 enodes) 1545218152.271 * [exit]simplify: Simplified to 1 1545218152.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218152.271 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218152.272 * * [misc]simplify: iters left: 6 (16 enodes) 1545218152.277 * * [misc]simplify: iters left: 5 (27 enodes) 1545218152.285 * * [misc]simplify: iters left: 4 (40 enodes) 1545218152.303 * * [misc]simplify: iters left: 3 (75 enodes) 1545218152.322 * * [misc]simplify: iters left: 2 (141 enodes) 1545218152.374 * * [misc]simplify: iters left: 1 (376 enodes) 1545218152.731 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545218152.731 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1545218152.731 * * * * [misc]progress: [ 153 / 266 ] simplifiying candidate # 1545218152.731 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545218152.731 * * [misc]simplify: iters left: 3 (4 enodes) 1545218152.733 * * [misc]simplify: iters left: 2 (6 enodes) 1545218152.734 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545218152.734 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218152.734 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218152.735 * * [misc]simplify: iters left: 6 (15 enodes) 1545218152.740 * * [misc]simplify: iters left: 5 (26 enodes) 1545218152.748 * * [misc]simplify: iters left: 4 (35 enodes) 1545218152.759 * * [misc]simplify: iters left: 3 (61 enodes) 1545218152.782 * * [misc]simplify: iters left: 2 (82 enodes) 1545218152.806 * * [misc]simplify: iters left: 1 (85 enodes) 1545218152.826 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545218152.826 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545218152.826 * * * * [misc]progress: [ 154 / 266 ] simplifiying candidate # 1545218152.826 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1545218152.826 * * [misc]simplify: iters left: 6 (10 enodes) 1545218152.832 * * [misc]simplify: iters left: 5 (16 enodes) 1545218152.836 * * [misc]simplify: iters left: 4 (19 enodes) 1545218152.840 * * [misc]simplify: iters left: 3 (21 enodes) 1545218152.846 * * [misc]simplify: iters left: 2 (33 enodes) 1545218152.854 * * [misc]simplify: iters left: 1 (41 enodes) 1545218152.862 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1545218152.862 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1545218152.863 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1545218152.863 * * [misc]simplify: iters left: 6 (14 enodes) 1545218152.868 * * [misc]simplify: iters left: 5 (23 enodes) 1545218152.875 * * [misc]simplify: iters left: 4 (30 enodes) 1545218152.884 * * [misc]simplify: iters left: 3 (42 enodes) 1545218152.896 * * [misc]simplify: iters left: 2 (67 enodes) 1545218152.909 * * [misc]simplify: iters left: 1 (88 enodes) 1545218152.922 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1545218152.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1545218152.923 * * * * [misc]progress: [ 155 / 266 ] simplifiying candidate # 1545218152.923 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218152.923 * * [misc]simplify: iters left: 6 (15 enodes) 1545218152.927 * * [misc]simplify: iters left: 5 (22 enodes) 1545218152.933 * * [misc]simplify: iters left: 4 (25 enodes) 1545218152.940 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218152.940 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218152.941 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218152.941 * * [misc]simplify: iters left: 6 (14 enodes) 1545218152.945 * * [misc]simplify: iters left: 5 (17 enodes) 1545218152.951 * * [misc]simplify: iters left: 4 (20 enodes) 1545218152.957 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218152.957 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218152.957 * * * * [misc]progress: [ 156 / 266 ] simplifiying candidate # 1545218152.958 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218152.958 * * [misc]simplify: iters left: 6 (14 enodes) 1545218152.962 * * [misc]simplify: iters left: 5 (19 enodes) 1545218152.967 * * [misc]simplify: iters left: 4 (22 enodes) 1545218152.973 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218152.973 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218152.974 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218152.974 * * [misc]simplify: iters left: 6 (14 enodes) 1545218152.978 * * [misc]simplify: iters left: 5 (17 enodes) 1545218152.983 * * [misc]simplify: iters left: 4 (20 enodes) 1545218152.989 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218152.989 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218152.989 * * * * [misc]progress: [ 157 / 266 ] simplifiying candidate # 1545218152.989 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218152.989 * * [misc]simplify: iters left: 6 (13 enodes) 1545218152.993 * * [misc]simplify: iters left: 5 (21 enodes) 1545218152.999 * * [misc]simplify: iters left: 4 (28 enodes) 1545218153.005 * * [misc]simplify: iters left: 3 (36 enodes) 1545218153.011 * * [misc]simplify: iters left: 2 (62 enodes) 1545218153.020 * * [misc]simplify: iters left: 1 (94 enodes) 1545218153.050 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545218153.050 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218153.050 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218153.050 * * [misc]simplify: iters left: 6 (15 enodes) 1545218153.055 * * [misc]simplify: iters left: 5 (21 enodes) 1545218153.062 * * [misc]simplify: iters left: 4 (25 enodes) 1545218153.068 * * [misc]simplify: iters left: 3 (27 enodes) 1545218153.077 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218153.077 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218153.077 * * * * [misc]progress: [ 158 / 266 ] simplifiying candidate # 1545218153.077 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218153.077 * * [misc]simplify: iters left: 6 (13 enodes) 1545218153.079 * * [misc]simplify: iters left: 5 (21 enodes) 1545218153.082 * * [misc]simplify: iters left: 4 (28 enodes) 1545218153.086 * * [misc]simplify: iters left: 3 (36 enodes) 1545218153.093 * * [misc]simplify: iters left: 2 (62 enodes) 1545218153.102 * * [misc]simplify: iters left: 1 (94 enodes) 1545218153.134 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545218153.134 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218153.135 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218153.135 * * [misc]simplify: iters left: 6 (15 enodes) 1545218153.139 * * [misc]simplify: iters left: 5 (21 enodes) 1545218153.145 * * [misc]simplify: iters left: 4 (25 enodes) 1545218153.152 * * [misc]simplify: iters left: 3 (27 enodes) 1545218153.159 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218153.159 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218153.159 * * * * [misc]progress: [ 159 / 266 ] simplifiying candidate # 1545218153.159 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218153.159 * * [misc]simplify: iters left: 6 (14 enodes) 1545218153.164 * * [misc]simplify: iters left: 5 (22 enodes) 1545218153.170 * * [misc]simplify: iters left: 4 (32 enodes) 1545218153.179 * * [misc]simplify: iters left: 3 (55 enodes) 1545218153.199 * * [misc]simplify: iters left: 2 (97 enodes) 1545218153.231 * * [misc]simplify: iters left: 1 (209 enodes) 1545218153.313 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218153.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218153.313 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218153.313 * * [misc]simplify: iters left: 6 (12 enodes) 1545218153.315 * * [misc]simplify: iters left: 5 (16 enodes) 1545218153.317 * * [misc]simplify: iters left: 4 (22 enodes) 1545218153.321 * * [misc]simplify: iters left: 3 (24 enodes) 1545218153.328 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545218153.328 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545218153.328 * * * * [misc]progress: [ 160 / 266 ] simplifiying candidate # 1545218153.328 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218153.328 * * [misc]simplify: iters left: 6 (17 enodes) 1545218153.334 * * [misc]simplify: iters left: 5 (30 enodes) 1545218153.343 * * [misc]simplify: iters left: 4 (51 enodes) 1545218153.357 * * [misc]simplify: iters left: 3 (67 enodes) 1545218153.370 * * [misc]simplify: iters left: 2 (156 enodes) 1545218153.421 * * [misc]simplify: iters left: 1 (456 enodes) 1545218153.770 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545218153.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218153.770 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218153.771 * * [misc]simplify: iters left: 6 (15 enodes) 1545218153.775 * * [misc]simplify: iters left: 5 (20 enodes) 1545218153.781 * * [misc]simplify: iters left: 4 (26 enodes) 1545218153.788 * * [misc]simplify: iters left: 3 (28 enodes) 1545218153.796 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218153.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218153.796 * * * * [misc]progress: [ 161 / 266 ] simplifiying candidate # 1545218153.797 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218153.797 * * [misc]simplify: iters left: 6 (16 enodes) 1545218153.802 * * [misc]simplify: iters left: 5 (25 enodes) 1545218153.809 * * [misc]simplify: iters left: 4 (35 enodes) 1545218153.822 * * [misc]simplify: iters left: 3 (58 enodes) 1545218153.842 * * [misc]simplify: iters left: 2 (99 enodes) 1545218153.866 * * [misc]simplify: iters left: 1 (192 enodes) 1545218153.930 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218153.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218153.930 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218153.930 * * [misc]simplify: iters left: 6 (15 enodes) 1545218153.932 * * [misc]simplify: iters left: 5 (20 enodes) 1545218153.935 * * [misc]simplify: iters left: 4 (26 enodes) 1545218153.938 * * [misc]simplify: iters left: 3 (28 enodes) 1545218153.942 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218153.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218153.942 * * * * [misc]progress: [ 162 / 266 ] simplifiying candidate # 1545218153.943 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218153.943 * * [misc]simplify: iters left: 6 (8 enodes) 1545218153.944 * * [misc]simplify: iters left: 5 (14 enodes) 1545218153.946 * * [misc]simplify: iters left: 4 (25 enodes) 1545218153.949 * * [misc]simplify: iters left: 3 (29 enodes) 1545218153.952 * * [misc]simplify: iters left: 2 (45 enodes) 1545218153.958 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1545218153.959 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218153.959 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218153.959 * * [misc]simplify: iters left: 6 (14 enodes) 1545218153.961 * * [misc]simplify: iters left: 5 (19 enodes) 1545218153.963 * * [misc]simplify: iters left: 4 (25 enodes) 1545218153.967 * * [misc]simplify: iters left: 3 (27 enodes) 1545218153.970 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1545218153.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218153.970 * * * * [misc]progress: [ 163 / 266 ] simplifiying candidate # 1545218153.970 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218153.971 * * [misc]simplify: iters left: 6 (12 enodes) 1545218153.973 * * [misc]simplify: iters left: 5 (18 enodes) 1545218153.978 * * [misc]simplify: iters left: 4 (21 enodes) 1545218153.981 * * [misc]simplify: iters left: 3 (23 enodes) 1545218153.984 * * [misc]simplify: iters left: 2 (35 enodes) 1545218153.989 * * [misc]simplify: iters left: 1 (43 enodes) 1545218153.993 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545218153.993 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218153.994 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218153.994 * * [misc]simplify: iters left: 6 (15 enodes) 1545218153.997 * * [misc]simplify: iters left: 5 (21 enodes) 1545218154.000 * * [misc]simplify: iters left: 4 (25 enodes) 1545218154.004 * * [misc]simplify: iters left: 3 (27 enodes) 1545218154.007 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218154.007 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218154.007 * * * * [misc]progress: [ 164 / 266 ] simplifiying candidate # 1545218154.008 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218154.008 * * [misc]simplify: iters left: 6 (12 enodes) 1545218154.009 * * [misc]simplify: iters left: 5 (18 enodes) 1545218154.012 * * [misc]simplify: iters left: 4 (21 enodes) 1545218154.014 * * [misc]simplify: iters left: 3 (23 enodes) 1545218154.018 * * [misc]simplify: iters left: 2 (35 enodes) 1545218154.022 * * [misc]simplify: iters left: 1 (43 enodes) 1545218154.027 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545218154.027 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218154.027 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218154.027 * * [misc]simplify: iters left: 6 (15 enodes) 1545218154.030 * * [misc]simplify: iters left: 5 (21 enodes) 1545218154.034 * * [misc]simplify: iters left: 4 (25 enodes) 1545218154.041 * * [misc]simplify: iters left: 3 (27 enodes) 1545218154.048 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218154.048 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218154.049 * * * * [misc]progress: [ 165 / 266 ] simplifiying candidate # 1545218154.049 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218154.049 * * [misc]simplify: iters left: 6 (13 enodes) 1545218154.053 * * [misc]simplify: iters left: 5 (19 enodes) 1545218154.059 * * [misc]simplify: iters left: 4 (25 enodes) 1545218154.065 * * [misc]simplify: iters left: 3 (34 enodes) 1545218154.075 * * [misc]simplify: iters left: 2 (44 enodes) 1545218154.086 * * [misc]simplify: iters left: 1 (59 enodes) 1545218154.103 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218154.103 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218154.103 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218154.103 * * [misc]simplify: iters left: 6 (12 enodes) 1545218154.107 * * [misc]simplify: iters left: 5 (16 enodes) 1545218154.113 * * [misc]simplify: iters left: 4 (22 enodes) 1545218154.119 * * [misc]simplify: iters left: 3 (24 enodes) 1545218154.125 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545218154.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545218154.125 * * * * [misc]progress: [ 166 / 266 ] simplifiying candidate # 1545218154.126 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.126 * * [misc]simplify: iters left: 6 (16 enodes) 1545218154.131 * * [misc]simplify: iters left: 5 (25 enodes) 1545218154.134 * * [misc]simplify: iters left: 4 (33 enodes) 1545218154.139 * * [misc]simplify: iters left: 3 (41 enodes) 1545218154.145 * * [misc]simplify: iters left: 2 (64 enodes) 1545218154.155 * * [misc]simplify: iters left: 1 (95 enodes) 1545218154.178 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218154.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218154.178 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.179 * * [misc]simplify: iters left: 6 (15 enodes) 1545218154.183 * * [misc]simplify: iters left: 5 (20 enodes) 1545218154.186 * * [misc]simplify: iters left: 4 (26 enodes) 1545218154.189 * * [misc]simplify: iters left: 3 (28 enodes) 1545218154.193 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218154.193 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218154.193 * * * * [misc]progress: [ 167 / 266 ] simplifiying candidate # 1545218154.193 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.193 * * [misc]simplify: iters left: 6 (15 enodes) 1545218154.195 * * [misc]simplify: iters left: 5 (22 enodes) 1545218154.198 * * [misc]simplify: iters left: 4 (28 enodes) 1545218154.202 * * [misc]simplify: iters left: 3 (37 enodes) 1545218154.208 * * [misc]simplify: iters left: 2 (47 enodes) 1545218154.217 * * [misc]simplify: iters left: 1 (62 enodes) 1545218154.235 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218154.235 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218154.235 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.235 * * [misc]simplify: iters left: 6 (15 enodes) 1545218154.240 * * [misc]simplify: iters left: 5 (20 enodes) 1545218154.246 * * [misc]simplify: iters left: 4 (26 enodes) 1545218154.254 * * [misc]simplify: iters left: 3 (28 enodes) 1545218154.261 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218154.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218154.261 * * * * [misc]progress: [ 168 / 266 ] simplifiying candidate # 1545218154.261 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1545218154.261 * * [misc]simplify: iters left: 6 (7 enodes) 1545218154.264 * * [misc]simplify: iters left: 5 (11 enodes) 1545218154.267 * * [misc]simplify: iters left: 4 (17 enodes) 1545218154.270 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545218154.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.271 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.271 * * [misc]simplify: iters left: 6 (14 enodes) 1545218154.275 * * [misc]simplify: iters left: 5 (19 enodes) 1545218154.281 * * [misc]simplify: iters left: 4 (25 enodes) 1545218154.288 * * [misc]simplify: iters left: 3 (27 enodes) 1545218154.295 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1545218154.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218154.295 * * * * [misc]progress: [ 169 / 266 ] simplifiying candidate # 1545218154.295 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1545218154.295 * * [misc]simplify: iters left: 6 (9 enodes) 1545218154.299 * * [misc]simplify: iters left: 5 (15 enodes) 1545218154.303 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545218154.303 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218154.303 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218154.303 * * [misc]simplify: iters left: 6 (14 enodes) 1545218154.308 * * [misc]simplify: iters left: 5 (20 enodes) 1545218154.313 * * [misc]simplify: iters left: 4 (24 enodes) 1545218154.320 * * [misc]simplify: iters left: 3 (26 enodes) 1545218154.326 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218154.326 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218154.326 * * * * [misc]progress: [ 170 / 266 ] simplifiying candidate # 1545218154.327 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1545218154.327 * * [misc]simplify: iters left: 6 (9 enodes) 1545218154.330 * * [misc]simplify: iters left: 5 (15 enodes) 1545218154.334 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545218154.334 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218154.334 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218154.334 * * [misc]simplify: iters left: 6 (14 enodes) 1545218154.338 * * [misc]simplify: iters left: 5 (20 enodes) 1545218154.344 * * [misc]simplify: iters left: 4 (24 enodes) 1545218154.352 * * [misc]simplify: iters left: 3 (26 enodes) 1545218154.359 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218154.359 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218154.359 * * * * [misc]progress: [ 171 / 266 ] simplifiying candidate # 1545218154.360 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218154.360 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.364 * * [misc]simplify: iters left: 5 (17 enodes) 1545218154.369 * * [misc]simplify: iters left: 4 (20 enodes) 1545218154.373 * * [misc]simplify: iters left: 3 (24 enodes) 1545218154.375 * * [misc]simplify: iters left: 2 (26 enodes) 1545218154.378 * * [misc]simplify: iters left: 1 (28 enodes) 1545218154.381 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545218154.382 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218154.382 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218154.382 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.383 * * [misc]simplify: iters left: 5 (15 enodes) 1545218154.386 * * [misc]simplify: iters left: 4 (21 enodes) 1545218154.388 * * [misc]simplify: iters left: 3 (23 enodes) 1545218154.392 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218154.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218154.392 * * * * [misc]progress: [ 172 / 266 ] simplifiying candidate # 1545218154.392 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.392 * * [misc]simplify: iters left: 6 (14 enodes) 1545218154.398 * * [misc]simplify: iters left: 5 (23 enodes) 1545218154.404 * * [misc]simplify: iters left: 4 (26 enodes) 1545218154.412 * * [misc]simplify: iters left: 3 (31 enodes) 1545218154.419 * * [misc]simplify: iters left: 2 (34 enodes) 1545218154.429 * * [misc]simplify: iters left: 1 (48 enodes) 1545218154.444 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218154.444 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.444 * * [misc]simplify: iters left: 6 (14 enodes) 1545218154.448 * * [misc]simplify: iters left: 5 (19 enodes) 1545218154.454 * * [misc]simplify: iters left: 4 (25 enodes) 1545218154.461 * * [misc]simplify: iters left: 3 (27 enodes) 1545218154.468 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.468 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.468 * * * * [misc]progress: [ 173 / 266 ] simplifiying candidate # 1545218154.468 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.468 * * [misc]simplify: iters left: 6 (13 enodes) 1545218154.473 * * [misc]simplify: iters left: 5 (20 enodes) 1545218154.478 * * [misc]simplify: iters left: 4 (23 enodes) 1545218154.483 * * [misc]simplify: iters left: 3 (27 enodes) 1545218154.486 * * [misc]simplify: iters left: 2 (29 enodes) 1545218154.489 * * [misc]simplify: iters left: 1 (31 enodes) 1545218154.493 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.493 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218154.493 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.493 * * [misc]simplify: iters left: 6 (14 enodes) 1545218154.495 * * [misc]simplify: iters left: 5 (19 enodes) 1545218154.497 * * [misc]simplify: iters left: 4 (25 enodes) 1545218154.501 * * [misc]simplify: iters left: 3 (27 enodes) 1545218154.504 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.504 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.504 * * * * [misc]progress: [ 174 / 266 ] simplifiying candidate # 1545218154.504 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1545218154.504 * * [misc]simplify: iters left: 4 (3 enodes) 1545218154.505 * * [misc]simplify: iters left: 3 (5 enodes) 1545218154.505 * [exit]simplify: Simplified to 1 1545218154.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.505 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.505 * * [misc]simplify: iters left: 6 (13 enodes) 1545218154.507 * * [misc]simplify: iters left: 5 (18 enodes) 1545218154.513 * * [misc]simplify: iters left: 4 (24 enodes) 1545218154.520 * * [misc]simplify: iters left: 3 (26 enodes) 1545218154.527 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218154.527 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218154.527 * * * * [misc]progress: [ 175 / 266 ] simplifiying candidate # 1545218154.527 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1545218154.527 * * [misc]simplify: iters left: 4 (3 enodes) 1545218154.528 * * [misc]simplify: iters left: 3 (5 enodes) 1545218154.529 * [exit]simplify: Simplified to 1 1545218154.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.529 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.530 * * [misc]simplify: iters left: 6 (13 enodes) 1545218154.534 * * [misc]simplify: iters left: 5 (18 enodes) 1545218154.539 * * [misc]simplify: iters left: 4 (24 enodes) 1545218154.542 * * [misc]simplify: iters left: 3 (26 enodes) 1545218154.546 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218154.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218154.546 * * * * [misc]progress: [ 176 / 266 ] simplifiying candidate # 1545218154.546 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1545218154.546 * * [misc]simplify: iters left: 4 (5 enodes) 1545218154.547 * * [misc]simplify: iters left: 3 (7 enodes) 1545218154.548 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545218154.548 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.548 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.548 * * [misc]simplify: iters left: 6 (13 enodes) 1545218154.550 * * [misc]simplify: iters left: 5 (20 enodes) 1545218154.553 * * [misc]simplify: iters left: 4 (26 enodes) 1545218154.557 * * [misc]simplify: iters left: 3 (36 enodes) 1545218154.562 * * [misc]simplify: iters left: 2 (38 enodes) 1545218154.566 * * [misc]simplify: iters left: 1 (43 enodes) 1545218154.574 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545218154.575 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545218154.575 * * * * [misc]progress: [ 177 / 266 ] simplifiying candidate # 1545218154.575 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1545218154.575 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.580 * * [misc]simplify: iters left: 5 (17 enodes) 1545218154.585 * * [misc]simplify: iters left: 4 (20 enodes) 1545218154.590 * * [misc]simplify: iters left: 3 (22 enodes) 1545218154.597 * * [misc]simplify: iters left: 2 (34 enodes) 1545218154.607 * * [misc]simplify: iters left: 1 (42 enodes) 1545218154.616 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1545218154.616 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1545218154.616 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1545218154.616 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.620 * * [misc]simplify: iters left: 5 (14 enodes) 1545218154.624 * * [misc]simplify: iters left: 4 (17 enodes) 1545218154.629 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1545218154.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1545218154.629 * * * * [misc]progress: [ 178 / 266 ] simplifiying candidate # 1545218154.629 * * * * [misc]progress: [ 179 / 266 ] simplifiying candidate # 1545218154.629 * * * * [misc]progress: [ 180 / 266 ] simplifiying candidate # 1545218154.629 * * * * [misc]progress: [ 181 / 266 ] simplifiying candidate # 1545218154.629 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.629 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.633 * * [misc]simplify: iters left: 5 (14 enodes) 1545218154.637 * * [misc]simplify: iters left: 4 (17 enodes) 1545218154.641 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.641 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.642 * * * * [misc]progress: [ 182 / 266 ] simplifiying candidate # 1545218154.642 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.642 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.645 * * [misc]simplify: iters left: 5 (14 enodes) 1545218154.649 * * [misc]simplify: iters left: 4 (17 enodes) 1545218154.654 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.654 * * * * [misc]progress: [ 183 / 266 ] simplifiying candidate # 1545218154.654 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218154.654 * * [misc]simplify: iters left: 6 (10 enodes) 1545218154.657 * * [misc]simplify: iters left: 5 (13 enodes) 1545218154.661 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218154.661 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218154.661 * * * * [misc]progress: [ 184 / 266 ] simplifiying candidate # 1545218154.661 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218154.662 * * [misc]simplify: iters left: 6 (10 enodes) 1545218154.665 * * [misc]simplify: iters left: 5 (13 enodes) 1545218154.666 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218154.667 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218154.667 * * * * [misc]progress: [ 185 / 266 ] simplifiying candidate # 1545218154.667 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218154.667 * * [misc]simplify: iters left: 6 (9 enodes) 1545218154.668 * * [misc]simplify: iters left: 5 (11 enodes) 1545218154.670 * * [misc]simplify: iters left: 4 (14 enodes) 1545218154.672 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218154.672 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545218154.672 * * * * [misc]progress: [ 186 / 266 ] simplifiying candidate # 1545218154.672 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.672 * * [misc]simplify: iters left: 6 (12 enodes) 1545218154.674 * * [misc]simplify: iters left: 5 (15 enodes) 1545218154.676 * * [misc]simplify: iters left: 4 (18 enodes) 1545218154.678 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.678 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.678 * * * * [misc]progress: [ 187 / 266 ] simplifiying candidate # 1545218154.678 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.679 * * [misc]simplify: iters left: 6 (12 enodes) 1545218154.680 * * [misc]simplify: iters left: 5 (15 enodes) 1545218154.682 * * [misc]simplify: iters left: 4 (18 enodes) 1545218154.684 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.685 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.685 * * * * [misc]progress: [ 188 / 266 ] simplifiying candidate # 1545218154.685 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.685 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.686 * * [misc]simplify: iters left: 5 (14 enodes) 1545218154.688 * * [misc]simplify: iters left: 4 (17 enodes) 1545218154.691 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.691 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.691 * * * * [misc]progress: [ 189 / 266 ] simplifiying candidate # 1545218154.691 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218154.691 * * [misc]simplify: iters left: 6 (10 enodes) 1545218154.692 * * [misc]simplify: iters left: 5 (13 enodes) 1545218154.694 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218154.694 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218154.694 * * * * [misc]progress: [ 190 / 266 ] simplifiying candidate # 1545218154.694 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218154.694 * * [misc]simplify: iters left: 6 (10 enodes) 1545218154.696 * * [misc]simplify: iters left: 5 (13 enodes) 1545218154.698 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218154.698 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218154.698 * * * * [misc]progress: [ 191 / 266 ] simplifiying candidate # 1545218154.699 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218154.699 * * [misc]simplify: iters left: 6 (9 enodes) 1545218154.700 * * [misc]simplify: iters left: 5 (11 enodes) 1545218154.701 * * [misc]simplify: iters left: 4 (14 enodes) 1545218154.703 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218154.703 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545218154.703 * * * * [misc]progress: [ 192 / 266 ] simplifiying candidate # 1545218154.703 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.704 * * [misc]simplify: iters left: 6 (12 enodes) 1545218154.705 * * [misc]simplify: iters left: 5 (15 enodes) 1545218154.707 * * [misc]simplify: iters left: 4 (18 enodes) 1545218154.710 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.710 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.710 * * * * [misc]progress: [ 193 / 266 ] simplifiying candidate # 1545218154.710 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.710 * * [misc]simplify: iters left: 6 (12 enodes) 1545218154.712 * * [misc]simplify: iters left: 5 (15 enodes) 1545218154.714 * * [misc]simplify: iters left: 4 (18 enodes) 1545218154.716 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.716 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.716 * * * * [misc]progress: [ 194 / 266 ] simplifiying candidate # 1545218154.716 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.716 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.718 * * [misc]simplify: iters left: 5 (14 enodes) 1545218154.720 * * [misc]simplify: iters left: 4 (17 enodes) 1545218154.722 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.723 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.723 * * * * [misc]progress: [ 195 / 266 ] simplifiying candidate # 1545218154.723 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545218154.723 * * [misc]simplify: iters left: 6 (9 enodes) 1545218154.725 * * [misc]simplify: iters left: 5 (12 enodes) 1545218154.728 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545218154.728 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1545218154.728 * * * * [misc]progress: [ 196 / 266 ] simplifiying candidate # 1545218154.729 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545218154.729 * * [misc]simplify: iters left: 6 (9 enodes) 1545218154.731 * * [misc]simplify: iters left: 5 (12 enodes) 1545218154.735 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545218154.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1545218154.735 * * * * [misc]progress: [ 197 / 266 ] simplifiying candidate # 1545218154.735 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545218154.735 * * [misc]simplify: iters left: 6 (8 enodes) 1545218154.738 * * [misc]simplify: iters left: 5 (10 enodes) 1545218154.741 * * [misc]simplify: iters left: 4 (13 enodes) 1545218154.744 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545218154.744 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545218154.744 * * * * [misc]progress: [ 198 / 266 ] simplifiying candidate # 1545218154.745 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.745 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.748 * * [misc]simplify: iters left: 5 (14 enodes) 1545218154.752 * * [misc]simplify: iters left: 4 (17 enodes) 1545218154.756 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.757 * * * * [misc]progress: [ 199 / 266 ] simplifiying candidate # 1545218154.757 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.757 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.760 * * [misc]simplify: iters left: 5 (14 enodes) 1545218154.765 * * [misc]simplify: iters left: 4 (17 enodes) 1545218154.769 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218154.769 * * * * [misc]progress: [ 200 / 266 ] simplifiying candidate # 1545218154.770 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.770 * * [misc]simplify: iters left: 6 (10 enodes) 1545218154.773 * * [misc]simplify: iters left: 5 (13 enodes) 1545218154.777 * * [misc]simplify: iters left: 4 (16 enodes) 1545218154.782 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.782 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.782 * * * * [misc]progress: [ 201 / 266 ] simplifiying candidate # 1545218154.782 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.782 * * [misc]simplify: iters left: 6 (10 enodes) 1545218154.785 * * [misc]simplify: iters left: 5 (13 enodes) 1545218154.789 * * [misc]simplify: iters left: 4 (16 enodes) 1545218154.794 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.794 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218154.794 * * * * [misc]progress: [ 202 / 266 ] simplifiying candidate # 1545218154.795 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1545218154.795 * * [misc]simplify: iters left: 6 (10 enodes) 1545218154.798 * * [misc]simplify: iters left: 5 (15 enodes) 1545218154.803 * * [misc]simplify: iters left: 4 (18 enodes) 1545218154.807 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1545218154.808 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218154.808 * * * * [misc]progress: [ 203 / 266 ] simplifiying candidate # 1545218154.808 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545218154.808 * * [misc]simplify: iters left: 3 (6 enodes) 1545218154.810 * * [misc]simplify: iters left: 2 (7 enodes) 1545218154.812 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545218154.812 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1545218154.812 * * * * [misc]progress: [ 204 / 266 ] simplifiying candidate # 1545218154.812 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1545218154.813 * * [misc]simplify: iters left: 6 (12 enodes) 1545218154.818 * * [misc]simplify: iters left: 5 (18 enodes) 1545218154.824 * * [misc]simplify: iters left: 4 (22 enodes) 1545218154.831 * * [misc]simplify: iters left: 3 (26 enodes) 1545218154.838 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218154.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1545218154.838 * * * * [misc]progress: [ 205 / 266 ] simplifiying candidate # 1545218154.838 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1545218154.838 * * [misc]simplify: iters left: 6 (11 enodes) 1545218154.841 * * [misc]simplify: iters left: 5 (17 enodes) 1545218154.843 * * [misc]simplify: iters left: 4 (21 enodes) 1545218154.849 * * [misc]simplify: iters left: 3 (25 enodes) 1545218154.855 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545218154.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1545218154.855 * * * * [misc]progress: [ 206 / 266 ] simplifiying candidate # 1545218154.855 * * * * [misc]progress: [ 207 / 266 ] simplifiying candidate # 1545218154.855 * * * * [misc]progress: [ 208 / 266 ] simplifiying candidate # 1545218154.855 * [enter]simplify: Simplifying (/ 1 1) 1545218154.855 * * [misc]simplify: iters left: 2 (2 enodes) 1545218154.856 * * [misc]simplify: iters left: 1 (4 enodes) 1545218154.856 * [exit]simplify: Simplified to 1 1545218154.856 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1545218154.856 * * * * [misc]progress: [ 209 / 266 ] simplifiying candidate # 1545218154.857 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545218154.857 * * [misc]simplify: iters left: 5 (8 enodes) 1545218154.858 * * [misc]simplify: iters left: 4 (11 enodes) 1545218154.860 * * [misc]simplify: iters left: 3 (14 enodes) 1545218154.862 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545218154.862 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218154.862 * * * * [misc]progress: [ 210 / 266 ] simplifiying candidate # 1545218154.862 * * * * [misc]progress: [ 211 / 266 ] simplifiying candidate # 1545218154.862 * * * * [misc]progress: [ 212 / 266 ] simplifiying candidate # 1545218154.862 * * * * [misc]progress: [ 213 / 266 ] simplifiying candidate # 1545218154.862 * * * * [misc]progress: [ 214 / 266 ] simplifiying candidate # 1545218154.862 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545218154.862 * * [misc]simplify: iters left: 6 (12 enodes) 1545218154.864 * * [misc]simplify: iters left: 5 (21 enodes) 1545218154.868 * * [misc]simplify: iters left: 4 (44 enodes) 1545218154.878 * * [misc]simplify: iters left: 3 (133 enodes) 1545218154.913 * * [misc]simplify: iters left: 2 (379 enodes) 1545218155.120 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1545218155.120 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1545218155.120 * * * * [misc]progress: [ 215 / 266 ] simplifiying candidate # 1545218155.120 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545218155.120 * * [misc]simplify: iters left: 6 (12 enodes) 1545218155.125 * * [misc]simplify: iters left: 5 (21 enodes) 1545218155.132 * * [misc]simplify: iters left: 4 (44 enodes) 1545218155.151 * * [misc]simplify: iters left: 3 (133 enodes) 1545218155.202 * * [misc]simplify: iters left: 2 (379 enodes) 1545218155.360 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1545218155.360 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1545218155.360 * * * * [misc]progress: [ 216 / 266 ] simplifiying candidate # 1545218155.361 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.361 * * [misc]simplify: iters left: 6 (12 enodes) 1545218155.365 * * [misc]simplify: iters left: 5 (19 enodes) 1545218155.372 * * [misc]simplify: iters left: 4 (32 enodes) 1545218155.381 * * [misc]simplify: iters left: 3 (69 enodes) 1545218155.397 * * [misc]simplify: iters left: 2 (208 enodes) 1545218155.487 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1545218155.487 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1545218155.487 * * * * [misc]progress: [ 217 / 266 ] simplifiying candidate # 1545218155.487 * * * * [misc]progress: [ 218 / 266 ] simplifiying candidate # 1545218155.487 * * * * [misc]progress: [ 219 / 266 ] simplifiying candidate # 1545218155.488 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.488 * * [misc]simplify: iters left: 6 (14 enodes) 1545218155.490 * * [misc]simplify: iters left: 5 (26 enodes) 1545218155.494 * * [misc]simplify: iters left: 4 (58 enodes) 1545218155.505 * * [misc]simplify: iters left: 3 (117 enodes) 1545218155.528 * * [misc]simplify: iters left: 2 (193 enodes) 1545218155.602 * * [misc]simplify: iters left: 1 (263 enodes) 1545218155.730 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.730 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.730 * * * * [misc]progress: [ 220 / 266 ] simplifiying candidate # 1545218155.730 * * * * [misc]progress: [ 221 / 266 ] simplifiying candidate # 1545218155.730 * * * * [misc]progress: [ 222 / 266 ] simplifiying candidate # 1545218155.730 * * * * [misc]progress: [ 223 / 266 ] simplifiying candidate # 1545218155.730 * * * * [misc]progress: [ 224 / 266 ] simplifiying candidate # 1545218155.730 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545218155.730 * * [misc]simplify: iters left: 6 (10 enodes) 1545218155.732 * * [misc]simplify: iters left: 5 (14 enodes) 1545218155.734 * * [misc]simplify: iters left: 4 (16 enodes) 1545218155.736 * * [misc]simplify: iters left: 3 (17 enodes) 1545218155.739 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545218155.739 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218155.739 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218155.739 * * [misc]simplify: iters left: 6 (10 enodes) 1545218155.740 * * [misc]simplify: iters left: 5 (13 enodes) 1545218155.742 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218155.742 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545218155.742 * * * * [misc]progress: [ 225 / 266 ] simplifiying candidate # 1545218155.742 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545218155.742 * * [misc]simplify: iters left: 6 (10 enodes) 1545218155.744 * * [misc]simplify: iters left: 5 (14 enodes) 1545218155.746 * * [misc]simplify: iters left: 4 (16 enodes) 1545218155.748 * * [misc]simplify: iters left: 3 (17 enodes) 1545218155.750 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545218155.750 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218155.750 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218155.751 * * [misc]simplify: iters left: 6 (10 enodes) 1545218155.752 * * [misc]simplify: iters left: 5 (13 enodes) 1545218155.754 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218155.754 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545218155.754 * * * * [misc]progress: [ 226 / 266 ] simplifiying candidate # 1545218155.754 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545218155.754 * * [misc]simplify: iters left: 6 (11 enodes) 1545218155.756 * * [misc]simplify: iters left: 5 (15 enodes) 1545218155.758 * * [misc]simplify: iters left: 4 (20 enodes) 1545218155.761 * * [misc]simplify: iters left: 3 (21 enodes) 1545218155.767 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545218155.767 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218155.767 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218155.767 * * [misc]simplify: iters left: 6 (9 enodes) 1545218155.770 * * [misc]simplify: iters left: 5 (11 enodes) 1545218155.773 * * [misc]simplify: iters left: 4 (14 enodes) 1545218155.776 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218155.776 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218155.776 * * * * [misc]progress: [ 227 / 266 ] simplifiying candidate # 1545218155.777 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218155.777 * * [misc]simplify: iters left: 6 (14 enodes) 1545218155.781 * * [misc]simplify: iters left: 5 (23 enodes) 1545218155.787 * * [misc]simplify: iters left: 4 (35 enodes) 1545218155.796 * * [misc]simplify: iters left: 3 (38 enodes) 1545218155.804 * * [misc]simplify: iters left: 2 (41 enodes) 1545218155.816 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218155.816 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.816 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.816 * * [misc]simplify: iters left: 6 (12 enodes) 1545218155.819 * * [misc]simplify: iters left: 5 (15 enodes) 1545218155.823 * * [misc]simplify: iters left: 4 (18 enodes) 1545218155.828 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.828 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.829 * * * * [misc]progress: [ 228 / 266 ] simplifiying candidate # 1545218155.829 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.829 * * [misc]simplify: iters left: 6 (13 enodes) 1545218155.833 * * [misc]simplify: iters left: 5 (18 enodes) 1545218155.837 * * [misc]simplify: iters left: 4 (23 enodes) 1545218155.843 * * [misc]simplify: iters left: 3 (24 enodes) 1545218155.846 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.846 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.846 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.847 * * [misc]simplify: iters left: 6 (12 enodes) 1545218155.848 * * [misc]simplify: iters left: 5 (15 enodes) 1545218155.850 * * [misc]simplify: iters left: 4 (18 enodes) 1545218155.853 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.853 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.853 * * * * [misc]progress: [ 229 / 266 ] simplifiying candidate # 1545218155.853 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545218155.853 * * [misc]simplify: iters left: 6 (6 enodes) 1545218155.854 * * [misc]simplify: iters left: 5 (10 enodes) 1545218155.856 * * [misc]simplify: iters left: 4 (16 enodes) 1545218155.858 * * [misc]simplify: iters left: 3 (18 enodes) 1545218155.859 * * [misc]simplify: iters left: 2 (23 enodes) 1545218155.862 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545218155.862 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218155.862 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218155.862 * * [misc]simplify: iters left: 6 (11 enodes) 1545218155.864 * * [misc]simplify: iters left: 5 (14 enodes) 1545218155.866 * * [misc]simplify: iters left: 4 (17 enodes) 1545218155.868 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218155.868 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218155.868 * * * * [misc]progress: [ 230 / 266 ] simplifiying candidate # 1545218155.869 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545218155.869 * * [misc]simplify: iters left: 5 (9 enodes) 1545218155.870 * * [misc]simplify: iters left: 4 (11 enodes) 1545218155.872 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545218155.872 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218155.872 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218155.872 * * [misc]simplify: iters left: 6 (10 enodes) 1545218155.873 * * [misc]simplify: iters left: 5 (13 enodes) 1545218155.875 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218155.875 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545218155.875 * * * * [misc]progress: [ 231 / 266 ] simplifiying candidate # 1545218155.876 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545218155.876 * * [misc]simplify: iters left: 5 (9 enodes) 1545218155.877 * * [misc]simplify: iters left: 4 (11 enodes) 1545218155.878 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545218155.879 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218155.879 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218155.879 * * [misc]simplify: iters left: 6 (10 enodes) 1545218155.880 * * [misc]simplify: iters left: 5 (13 enodes) 1545218155.882 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218155.882 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545218155.882 * * * * [misc]progress: [ 232 / 266 ] simplifiying candidate # 1545218155.882 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545218155.882 * * [misc]simplify: iters left: 6 (10 enodes) 1545218155.884 * * [misc]simplify: iters left: 5 (12 enodes) 1545218155.886 * * [misc]simplify: iters left: 4 (15 enodes) 1545218155.888 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545218155.888 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218155.888 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218155.888 * * [misc]simplify: iters left: 6 (9 enodes) 1545218155.890 * * [misc]simplify: iters left: 5 (11 enodes) 1545218155.891 * * [misc]simplify: iters left: 4 (14 enodes) 1545218155.893 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218155.893 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218155.893 * * * * [misc]progress: [ 233 / 266 ] simplifiying candidate # 1545218155.894 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218155.894 * * [misc]simplify: iters left: 6 (13 enodes) 1545218155.896 * * [misc]simplify: iters left: 5 (18 enodes) 1545218155.899 * * [misc]simplify: iters left: 4 (21 enodes) 1545218155.902 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218155.902 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.902 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.902 * * [misc]simplify: iters left: 6 (12 enodes) 1545218155.905 * * [misc]simplify: iters left: 5 (15 enodes) 1545218155.907 * * [misc]simplify: iters left: 4 (18 enodes) 1545218155.909 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.910 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.910 * * * * [misc]progress: [ 234 / 266 ] simplifiying candidate # 1545218155.910 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.910 * * [misc]simplify: iters left: 6 (12 enodes) 1545218155.911 * * [misc]simplify: iters left: 5 (15 enodes) 1545218155.915 * * [misc]simplify: iters left: 4 (18 enodes) 1545218155.920 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.920 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.921 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.921 * * [misc]simplify: iters left: 6 (12 enodes) 1545218155.924 * * [misc]simplify: iters left: 5 (15 enodes) 1545218155.928 * * [misc]simplify: iters left: 4 (18 enodes) 1545218155.930 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.930 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.930 * * * * [misc]progress: [ 235 / 266 ] simplifiying candidate # 1545218155.931 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545218155.931 * * [misc]simplify: iters left: 4 (5 enodes) 1545218155.931 * * [misc]simplify: iters left: 3 (7 enodes) 1545218155.933 * * [misc]simplify: iters left: 2 (9 enodes) 1545218155.934 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545218155.934 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218155.934 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218155.934 * * [misc]simplify: iters left: 6 (11 enodes) 1545218155.935 * * [misc]simplify: iters left: 5 (14 enodes) 1545218155.937 * * [misc]simplify: iters left: 4 (17 enodes) 1545218155.940 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218155.940 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218155.940 * * * * [misc]progress: [ 236 / 266 ] simplifiying candidate # 1545218155.940 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545218155.940 * * [misc]simplify: iters left: 5 (7 enodes) 1545218155.941 * * [misc]simplify: iters left: 4 (11 enodes) 1545218155.943 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545218155.943 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218155.943 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545218155.943 * * [misc]simplify: iters left: 6 (9 enodes) 1545218155.944 * * [misc]simplify: iters left: 5 (12 enodes) 1545218155.946 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545218155.946 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545218155.946 * * * * [misc]progress: [ 237 / 266 ] simplifiying candidate # 1545218155.946 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545218155.946 * * [misc]simplify: iters left: 5 (7 enodes) 1545218155.947 * * [misc]simplify: iters left: 4 (11 enodes) 1545218155.949 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545218155.949 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218155.949 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545218155.949 * * [misc]simplify: iters left: 6 (9 enodes) 1545218155.950 * * [misc]simplify: iters left: 5 (12 enodes) 1545218155.952 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545218155.952 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545218155.952 * * * * [misc]progress: [ 238 / 266 ] simplifiying candidate # 1545218155.953 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1545218155.953 * * [misc]simplify: iters left: 6 (9 enodes) 1545218155.954 * * [misc]simplify: iters left: 5 (13 enodes) 1545218155.957 * * [misc]simplify: iters left: 4 (16 enodes) 1545218155.961 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1545218155.962 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218155.962 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545218155.962 * * [misc]simplify: iters left: 6 (8 enodes) 1545218155.964 * * [misc]simplify: iters left: 5 (10 enodes) 1545218155.967 * * [misc]simplify: iters left: 4 (13 enodes) 1545218155.971 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545218155.971 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218155.971 * * * * [misc]progress: [ 239 / 266 ] simplifiying candidate # 1545218155.972 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218155.972 * * [misc]simplify: iters left: 6 (12 enodes) 1545218155.975 * * [misc]simplify: iters left: 5 (19 enodes) 1545218155.980 * * [misc]simplify: iters left: 4 (22 enodes) 1545218155.986 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218155.986 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.987 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.987 * * [misc]simplify: iters left: 6 (11 enodes) 1545218155.990 * * [misc]simplify: iters left: 5 (14 enodes) 1545218155.994 * * [misc]simplify: iters left: 4 (17 enodes) 1545218155.999 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218155.999 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218155.999 * * * * [misc]progress: [ 240 / 266 ] simplifiying candidate # 1545218156.000 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218156.000 * * [misc]simplify: iters left: 6 (11 enodes) 1545218156.003 * * [misc]simplify: iters left: 5 (16 enodes) 1545218156.007 * * [misc]simplify: iters left: 4 (19 enodes) 1545218156.012 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218156.013 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218156.013 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218156.013 * * [misc]simplify: iters left: 6 (11 enodes) 1545218156.016 * * [misc]simplify: iters left: 5 (14 enodes) 1545218156.022 * * [misc]simplify: iters left: 4 (17 enodes) 1545218156.027 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218156.027 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218156.027 * * * * [misc]progress: [ 241 / 266 ] simplifiying candidate # 1545218156.027 * [enter]simplify: Simplifying (/ 1 1) 1545218156.027 * * [misc]simplify: iters left: 2 (2 enodes) 1545218156.028 * * [misc]simplify: iters left: 1 (4 enodes) 1545218156.029 * [exit]simplify: Simplified to 1 1545218156.029 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218156.029 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218156.029 * * [misc]simplify: iters left: 6 (10 enodes) 1545218156.032 * * [misc]simplify: iters left: 5 (13 enodes) 1545218156.033 * * [misc]simplify: iters left: 4 (16 enodes) 1545218156.036 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218156.036 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218156.036 * * * * [misc]progress: [ 242 / 266 ] simplifiying candidate # 1545218156.036 * * * * [misc]progress: [ 243 / 266 ] simplifiying candidate # 1545218156.036 * * * * [misc]progress: [ 244 / 266 ] simplifiying candidate # 1545218156.036 * * * * [misc]progress: [ 245 / 266 ] simplifiying candidate # 1545218156.036 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545218156.036 * * [misc]simplify: iters left: 5 (7 enodes) 1545218156.037 * * [misc]simplify: iters left: 4 (10 enodes) 1545218156.038 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545218156.038 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1545218156.038 * * * * [misc]progress: [ 246 / 266 ] simplifiying candidate # 1545218156.039 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545218156.039 * * [misc]simplify: iters left: 5 (7 enodes) 1545218156.040 * * [misc]simplify: iters left: 4 (10 enodes) 1545218156.041 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545218156.041 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1545218156.041 * * * * [misc]progress: [ 247 / 266 ] simplifiying candidate # 1545218156.041 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545218156.041 * * [misc]simplify: iters left: 5 (6 enodes) 1545218156.042 * * [misc]simplify: iters left: 4 (8 enodes) 1545218156.043 * * [misc]simplify: iters left: 3 (11 enodes) 1545218156.045 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545218156.045 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1545218156.045 * * * * [misc]progress: [ 248 / 266 ] simplifiying candidate # 1545218156.045 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545218156.045 * * [misc]simplify: iters left: 6 (9 enodes) 1545218156.046 * * [misc]simplify: iters left: 5 (12 enodes) 1545218156.048 * * [misc]simplify: iters left: 4 (15 enodes) 1545218156.050 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545218156.050 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218156.050 * * * * [misc]progress: [ 249 / 266 ] simplifiying candidate # 1545218156.050 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545218156.050 * * [misc]simplify: iters left: 6 (9 enodes) 1545218156.052 * * [misc]simplify: iters left: 5 (12 enodes) 1545218156.053 * * [misc]simplify: iters left: 4 (15 enodes) 1545218156.055 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545218156.055 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218156.055 * * * * [misc]progress: [ 250 / 266 ] simplifiying candidate # 1545218156.055 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545218156.056 * * [misc]simplify: iters left: 5 (8 enodes) 1545218156.057 * * [misc]simplify: iters left: 4 (11 enodes) 1545218156.058 * * [misc]simplify: iters left: 3 (14 enodes) 1545218156.061 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545218156.061 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218156.061 * * * * [misc]progress: [ 251 / 266 ] simplifiying candidate # 1545218156.061 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545218156.061 * * [misc]simplify: iters left: 4 (4 enodes) 1545218156.062 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545218156.062 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545218156.063 * * * * [misc]progress: [ 252 / 266 ] simplifiying candidate # 1545218156.063 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545218156.063 * * [misc]simplify: iters left: 2 (3 enodes) 1545218156.064 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545218156.064 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545218156.064 * * * * [misc]progress: [ 253 / 266 ] simplifiying candidate # 1545218156.064 * * * * [misc]progress: [ 254 / 266 ] simplifiying candidate # 1545218156.064 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545218156.064 * * [misc]simplify: iters left: 3 (6 enodes) 1545218156.066 * * [misc]simplify: iters left: 2 (7 enodes) 1545218156.068 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545218156.068 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1545218156.068 * * * * [misc]progress: [ 255 / 266 ] simplifiying candidate # 1545218156.068 * [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)))) 1545218156.069 * * [misc]simplify: iters left: 6 (18 enodes) 1545218156.075 * * [misc]simplify: iters left: 5 (39 enodes) 1545218156.090 * * [misc]simplify: iters left: 4 (110 enodes) 1545218156.132 * * [misc]simplify: iters left: 3 (321 enodes) 1545218156.306 * [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))) 1545218156.306 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218156.306 * * * * [misc]progress: [ 256 / 266 ] simplifiying candidate # 1545218156.306 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545218156.306 * * [misc]simplify: iters left: 5 (6 enodes) 1545218156.307 * * [misc]simplify: iters left: 4 (9 enodes) 1545218156.309 * * [misc]simplify: iters left: 3 (17 enodes) 1545218156.312 * * [misc]simplify: iters left: 2 (24 enodes) 1545218156.314 * * [misc]simplify: iters left: 1 (28 enodes) 1545218156.320 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545218156.320 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218156.320 * * * * [misc]progress: [ 257 / 266 ] simplifiying candidate # 1545218156.321 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545218156.321 * * [misc]simplify: iters left: 5 (6 enodes) 1545218156.322 * * [misc]simplify: iters left: 4 (9 enodes) 1545218156.324 * * [misc]simplify: iters left: 3 (17 enodes) 1545218156.329 * * [misc]simplify: iters left: 2 (24 enodes) 1545218156.334 * * [misc]simplify: iters left: 1 (28 enodes) 1545218156.348 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545218156.348 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218156.348 * * * * [misc]progress: [ 258 / 266 ] simplifiying candidate # 1545218156.348 * [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))))) 1545218156.349 * * [misc]simplify: iters left: 6 (35 enodes) 1545218156.365 * * [misc]simplify: iters left: 5 (102 enodes) 1545218156.412 * * [misc]simplify: iters left: 4 (321 enodes) 1545218156.559 * [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)))))) 1545218156.559 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (+ (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))))))))) 1545218156.559 * * * * [misc]progress: [ 259 / 266 ] simplifiying candidate # 1545218156.559 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545218156.559 * * [misc]simplify: iters left: 6 (13 enodes) 1545218156.565 * * [misc]simplify: iters left: 5 (27 enodes) 1545218156.574 * * [misc]simplify: iters left: 4 (53 enodes) 1545218156.596 * * [misc]simplify: iters left: 3 (124 enodes) 1545218156.662 * * [misc]simplify: iters left: 2 (394 enodes) 1545218157.211 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545218157.211 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1545218157.211 * * * * [misc]progress: [ 260 / 266 ] simplifiying candidate # 1545218157.212 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545218157.212 * * [misc]simplify: iters left: 6 (13 enodes) 1545218157.217 * * [misc]simplify: iters left: 5 (24 enodes) 1545218157.226 * * [misc]simplify: iters left: 4 (54 enodes) 1545218157.248 * * [misc]simplify: iters left: 3 (151 enodes) 1545218157.316 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545218157.316 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1545218157.316 * * * * [misc]progress: [ 261 / 266 ] simplifiying candidate # 1545218157.317 * [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))))))))))))))) 1545218157.317 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218157.317 * * * * [misc]progress: [ 262 / 266 ] simplifiying candidate # 1545218157.317 * [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)))))))) 1545218157.317 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218157.317 * * * * [misc]progress: [ 263 / 266 ] simplifiying candidate # 1545218157.317 * [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)))))))) 1545218157.317 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218157.317 * * * * [misc]progress: [ 264 / 266 ] simplifiying candidate # 1545218157.318 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545218157.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1545218157.318 * * * * [misc]progress: [ 265 / 266 ] simplifiying candidate # 1545218157.318 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545218157.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1545218157.318 * * * * [misc]progress: [ 266 / 266 ] simplifiying candidate # 1545218157.318 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545218157.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1545218157.319 * * * [misc]progress: adding candidates to table 1545218161.715 * * [misc]progress: iteration 4 / 4 1545218161.715 * * * [misc]progress: picking best candidate 1545218161.738 * * * * [misc]pick: Picked # 1545218161.738 * * * [misc]progress: localizing error 1545218161.741 * * * [misc]progress: generating rewritten candidates 1545218161.741 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1545218161.744 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) 1545218161.749 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1545218161.775 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545218161.788 * * * [misc]progress: generating series expansions 1545218161.788 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1545218161.788 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545218161.788 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545218161.789 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545218161.789 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545218161.789 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545218161.789 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218161.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.789 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218161.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.789 * [misc]taylor: Taking taylor expansion of k in k 1545218161.789 * [misc]backup-simplify: Simplify 0 into 0 1545218161.789 * [misc]backup-simplify: Simplify 1 into 1 1545218161.789 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218161.789 * [misc]taylor: Taking taylor expansion of PI in k 1545218161.789 * [misc]backup-simplify: Simplify PI into PI 1545218161.790 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.790 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218161.790 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.790 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.791 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218161.791 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545218161.791 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545218161.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545218161.791 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545218161.791 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218161.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.792 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218161.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.792 * [misc]taylor: Taking taylor expansion of k in k 1545218161.792 * [misc]backup-simplify: Simplify 0 into 0 1545218161.792 * [misc]backup-simplify: Simplify 1 into 1 1545218161.792 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218161.792 * [misc]taylor: Taking taylor expansion of PI in k 1545218161.792 * [misc]backup-simplify: Simplify PI into PI 1545218161.792 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.792 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218161.792 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.793 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.793 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218161.794 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545218161.794 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545218161.797 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218161.797 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218161.797 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218161.797 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218161.798 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545218161.802 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545218161.803 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545218161.807 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545218161.808 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218161.808 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.810 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545218161.814 * [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))) 1545218161.816 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545218161.819 * [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)))) 1545218161.819 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218161.819 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545218161.819 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218161.819 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545218161.819 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545218161.819 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218161.819 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.819 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218161.819 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.819 * [misc]taylor: Taking taylor expansion of k in k 1545218161.819 * [misc]backup-simplify: Simplify 0 into 0 1545218161.819 * [misc]backup-simplify: Simplify 1 into 1 1545218161.820 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.820 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218161.820 * [misc]taylor: Taking taylor expansion of PI in k 1545218161.820 * [misc]backup-simplify: Simplify PI into PI 1545218161.820 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.821 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218161.821 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218161.821 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218161.821 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545218161.822 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218161.822 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218161.822 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545218161.822 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545218161.822 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218161.822 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.822 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218161.822 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.822 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.822 * [misc]taylor: Taking taylor expansion of k in k 1545218161.822 * [misc]backup-simplify: Simplify 0 into 0 1545218161.822 * [misc]backup-simplify: Simplify 1 into 1 1545218161.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.822 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218161.822 * [misc]taylor: Taking taylor expansion of PI in k 1545218161.822 * [misc]backup-simplify: Simplify PI into PI 1545218161.823 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.823 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218161.823 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218161.823 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218161.824 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545218161.824 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218161.824 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218161.824 * [misc]backup-simplify: Simplify 0 into 0 1545218161.824 * [misc]backup-simplify: Simplify 0 into 0 1545218161.824 * [misc]backup-simplify: Simplify 0 into 0 1545218161.824 * [misc]backup-simplify: Simplify 0 into 0 1545218161.824 * [misc]backup-simplify: Simplify 0 into 0 1545218161.824 * [misc]backup-simplify: Simplify 0 into 0 1545218161.825 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545218161.825 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218161.825 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545218161.825 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218161.825 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545218161.825 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545218161.825 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218161.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218161.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.825 * [misc]taylor: Taking taylor expansion of k in k 1545218161.825 * [misc]backup-simplify: Simplify 0 into 0 1545218161.825 * [misc]backup-simplify: Simplify 1 into 1 1545218161.825 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.825 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218161.825 * [misc]taylor: Taking taylor expansion of PI in k 1545218161.825 * [misc]backup-simplify: Simplify PI into PI 1545218161.826 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.826 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218161.826 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.827 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218161.827 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218161.827 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218161.827 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545218161.827 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545218161.827 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218161.827 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218161.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.827 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.827 * [misc]taylor: Taking taylor expansion of k in k 1545218161.827 * [misc]backup-simplify: Simplify 0 into 0 1545218161.827 * [misc]backup-simplify: Simplify 1 into 1 1545218161.827 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.827 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218161.828 * [misc]taylor: Taking taylor expansion of PI in k 1545218161.828 * [misc]backup-simplify: Simplify PI into PI 1545218161.828 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.828 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218161.828 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.829 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218161.829 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218161.829 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218161.829 * [misc]backup-simplify: Simplify 0 into 0 1545218161.829 * [misc]backup-simplify: Simplify 0 into 0 1545218161.829 * [misc]backup-simplify: Simplify 0 into 0 1545218161.829 * [misc]backup-simplify: Simplify 0 into 0 1545218161.829 * [misc]backup-simplify: Simplify 0 into 0 1545218161.829 * [misc]backup-simplify: Simplify 0 into 0 1545218161.830 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545218161.830 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) 1545218161.830 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545218161.830 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545218161.830 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218161.830 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218161.830 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218161.830 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218161.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.830 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218161.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.830 * [misc]taylor: Taking taylor expansion of k in k 1545218161.830 * [misc]backup-simplify: Simplify 0 into 0 1545218161.830 * [misc]backup-simplify: Simplify 1 into 1 1545218161.830 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218161.830 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218161.830 * [misc]taylor: Taking taylor expansion of 2 in k 1545218161.830 * [misc]backup-simplify: Simplify 2 into 2 1545218161.830 * [misc]taylor: Taking taylor expansion of n in k 1545218161.830 * [misc]backup-simplify: Simplify n into n 1545218161.830 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218161.831 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218161.831 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218161.831 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.831 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.831 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218161.831 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218161.831 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545218161.831 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545218161.831 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545218161.831 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218161.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.831 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218161.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.831 * [misc]taylor: Taking taylor expansion of k in n 1545218161.831 * [misc]backup-simplify: Simplify k into k 1545218161.831 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218161.831 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218161.831 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.831 * [misc]backup-simplify: Simplify 2 into 2 1545218161.831 * [misc]taylor: Taking taylor expansion of n in n 1545218161.831 * [misc]backup-simplify: Simplify 0 into 0 1545218161.831 * [misc]backup-simplify: Simplify 1 into 1 1545218161.832 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218161.832 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218161.832 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218161.832 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218161.832 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218161.832 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218161.832 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218161.832 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545218161.833 * [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)))) 1545218161.833 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545218161.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545218161.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545218161.833 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218161.833 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.833 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218161.833 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.833 * [misc]taylor: Taking taylor expansion of k in n 1545218161.833 * [misc]backup-simplify: Simplify k into k 1545218161.833 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218161.833 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218161.833 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.833 * [misc]backup-simplify: Simplify 2 into 2 1545218161.833 * [misc]taylor: Taking taylor expansion of n in n 1545218161.833 * [misc]backup-simplify: Simplify 0 into 0 1545218161.833 * [misc]backup-simplify: Simplify 1 into 1 1545218161.833 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218161.833 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218161.833 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218161.833 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218161.833 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218161.833 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218161.834 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218161.834 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545218161.834 * [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)))) 1545218161.834 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545218161.834 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545218161.834 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545218161.834 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545218161.834 * [misc]taylor: Taking taylor expansion of 2 in k 1545218161.834 * [misc]backup-simplify: Simplify 2 into 2 1545218161.834 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218161.834 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218161.834 * [misc]taylor: Taking taylor expansion of n in k 1545218161.834 * [misc]backup-simplify: Simplify n into n 1545218161.834 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218161.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218161.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.834 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218161.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.834 * [misc]taylor: Taking taylor expansion of k in k 1545218161.834 * [misc]backup-simplify: Simplify 0 into 0 1545218161.834 * [misc]backup-simplify: Simplify 1 into 1 1545218161.835 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545218161.835 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218161.835 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.835 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.835 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545218161.835 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545218161.835 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545218161.836 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545218161.837 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218161.837 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545218161.837 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.837 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.838 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218161.838 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545218161.839 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218161.839 * [misc]taylor: Taking taylor expansion of 0 in k 1545218161.839 * [misc]backup-simplify: Simplify 0 into 0 1545218161.839 * [misc]backup-simplify: Simplify 0 into 0 1545218161.839 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218161.839 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218161.839 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218161.840 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218161.841 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545218161.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.841 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545218161.842 * [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))))) 1545218161.842 * [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))))) 1545218161.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545218161.845 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545218161.845 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545218161.845 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.845 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.846 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218161.846 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545218161.847 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545218161.847 * [misc]taylor: Taking taylor expansion of 0 in k 1545218161.847 * [misc]backup-simplify: Simplify 0 into 0 1545218161.847 * [misc]backup-simplify: Simplify 0 into 0 1545218161.847 * [misc]backup-simplify: Simplify 0 into 0 1545218161.847 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218161.847 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.848 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.850 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545218161.851 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545218161.851 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.851 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545218161.852 * [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))))) 1545218161.853 * [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))))) 1545218161.855 * [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))))) 1545218161.855 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218161.855 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545218161.857 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218161.857 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218161.857 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218161.857 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218161.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.857 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218161.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.858 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.858 * [misc]taylor: Taking taylor expansion of k in k 1545218161.858 * [misc]backup-simplify: Simplify 0 into 0 1545218161.858 * [misc]backup-simplify: Simplify 1 into 1 1545218161.858 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.858 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218161.858 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218161.858 * [misc]taylor: Taking taylor expansion of 2 in k 1545218161.858 * [misc]backup-simplify: Simplify 2 into 2 1545218161.858 * [misc]taylor: Taking taylor expansion of n in k 1545218161.858 * [misc]backup-simplify: Simplify n into n 1545218161.858 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218161.858 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218161.858 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218161.858 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218161.858 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218161.858 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218161.859 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218161.859 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218161.859 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218161.859 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218161.859 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218161.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.859 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218161.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.859 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218161.859 * [misc]taylor: Taking taylor expansion of k in n 1545218161.859 * [misc]backup-simplify: Simplify k into k 1545218161.859 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218161.859 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218161.859 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218161.859 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.859 * [misc]backup-simplify: Simplify 2 into 2 1545218161.859 * [misc]taylor: Taking taylor expansion of n in n 1545218161.859 * [misc]backup-simplify: Simplify 0 into 0 1545218161.859 * [misc]backup-simplify: Simplify 1 into 1 1545218161.859 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218161.859 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218161.859 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218161.859 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218161.859 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218161.860 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218161.860 * [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))) 1545218161.860 * [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)))) 1545218161.860 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218161.860 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218161.860 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218161.860 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218161.860 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.860 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218161.860 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.860 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218161.860 * [misc]taylor: Taking taylor expansion of k in n 1545218161.860 * [misc]backup-simplify: Simplify k into k 1545218161.860 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218161.860 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218161.860 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218161.860 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.860 * [misc]backup-simplify: Simplify 2 into 2 1545218161.860 * [misc]taylor: Taking taylor expansion of n in n 1545218161.860 * [misc]backup-simplify: Simplify 0 into 0 1545218161.860 * [misc]backup-simplify: Simplify 1 into 1 1545218161.860 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218161.860 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218161.861 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218161.861 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218161.861 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218161.861 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218161.861 * [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))) 1545218161.861 * [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)))) 1545218161.861 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545218161.861 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545218161.861 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218161.861 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.861 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218161.861 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.862 * [misc]taylor: Taking taylor expansion of k in k 1545218161.862 * [misc]backup-simplify: Simplify 0 into 0 1545218161.862 * [misc]backup-simplify: Simplify 1 into 1 1545218161.862 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.862 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545218161.862 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545218161.862 * [misc]taylor: Taking taylor expansion of 2 in k 1545218161.862 * [misc]backup-simplify: Simplify 2 into 2 1545218161.862 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218161.862 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218161.862 * [misc]taylor: Taking taylor expansion of n in k 1545218161.862 * [misc]backup-simplify: Simplify n into n 1545218161.862 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218161.862 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218161.862 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218161.862 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218161.862 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218161.862 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545218161.863 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545218161.863 * [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)))) 1545218161.863 * [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)))) 1545218161.863 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545218161.865 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218161.865 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218161.865 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218161.865 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.865 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.865 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218161.865 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545218161.866 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218161.866 * [misc]taylor: Taking taylor expansion of 0 in k 1545218161.866 * [misc]backup-simplify: Simplify 0 into 0 1545218161.866 * [misc]backup-simplify: Simplify 0 into 0 1545218161.866 * [misc]backup-simplify: Simplify 0 into 0 1545218161.867 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218161.869 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545218161.869 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218161.869 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218161.870 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.870 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.870 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218161.870 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545218161.871 * [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 1545218161.872 * [misc]taylor: Taking taylor expansion of 0 in k 1545218161.872 * [misc]backup-simplify: Simplify 0 into 0 1545218161.872 * [misc]backup-simplify: Simplify 0 into 0 1545218161.872 * [misc]backup-simplify: Simplify 0 into 0 1545218161.872 * [misc]backup-simplify: Simplify 0 into 0 1545218161.872 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218161.877 * [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 1545218161.877 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218161.877 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545218161.878 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.878 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218161.879 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545218161.882 * [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 1545218161.882 * [misc]taylor: Taking taylor expansion of 0 in k 1545218161.882 * [misc]backup-simplify: Simplify 0 into 0 1545218161.882 * [misc]backup-simplify: Simplify 0 into 0 1545218161.883 * [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)))) 1545218161.883 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218161.883 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545218161.883 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218161.883 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218161.883 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218161.883 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218161.883 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218161.883 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.883 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.883 * [misc]taylor: Taking taylor expansion of k in k 1545218161.883 * [misc]backup-simplify: Simplify 0 into 0 1545218161.883 * [misc]backup-simplify: Simplify 1 into 1 1545218161.883 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.883 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.884 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218161.884 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218161.884 * [misc]taylor: Taking taylor expansion of -2 in k 1545218161.884 * [misc]backup-simplify: Simplify -2 into -2 1545218161.884 * [misc]taylor: Taking taylor expansion of n in k 1545218161.884 * [misc]backup-simplify: Simplify n into n 1545218161.884 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218161.884 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218161.884 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218161.884 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.884 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218161.884 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218161.884 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218161.885 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218161.885 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218161.885 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218161.885 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218161.885 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.885 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218161.885 * [misc]taylor: Taking taylor expansion of k in n 1545218161.885 * [misc]backup-simplify: Simplify k into k 1545218161.885 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218161.885 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.885 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218161.885 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218161.885 * [misc]taylor: Taking taylor expansion of -2 in n 1545218161.885 * [misc]backup-simplify: Simplify -2 into -2 1545218161.885 * [misc]taylor: Taking taylor expansion of n in n 1545218161.885 * [misc]backup-simplify: Simplify 0 into 0 1545218161.885 * [misc]backup-simplify: Simplify 1 into 1 1545218161.885 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218161.885 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218161.886 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218161.886 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218161.886 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218161.886 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545218161.887 * [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)))) 1545218161.887 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218161.887 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218161.887 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218161.887 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218161.887 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218161.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.887 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218161.887 * [misc]taylor: Taking taylor expansion of k in n 1545218161.887 * [misc]backup-simplify: Simplify k into k 1545218161.887 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218161.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.887 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218161.887 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218161.887 * [misc]taylor: Taking taylor expansion of -2 in n 1545218161.887 * [misc]backup-simplify: Simplify -2 into -2 1545218161.887 * [misc]taylor: Taking taylor expansion of n in n 1545218161.887 * [misc]backup-simplify: Simplify 0 into 0 1545218161.887 * [misc]backup-simplify: Simplify 1 into 1 1545218161.887 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218161.888 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218161.888 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218161.888 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218161.888 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218161.888 * [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))) 1545218161.889 * [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)))) 1545218161.889 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545218161.889 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545218161.889 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218161.889 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218161.889 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.889 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.889 * [misc]taylor: Taking taylor expansion of k in k 1545218161.889 * [misc]backup-simplify: Simplify 0 into 0 1545218161.889 * [misc]backup-simplify: Simplify 1 into 1 1545218161.889 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.889 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.889 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545218161.889 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545218161.889 * [misc]taylor: Taking taylor expansion of -2 in k 1545218161.890 * [misc]backup-simplify: Simplify -2 into -2 1545218161.890 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218161.890 * [misc]taylor: Taking taylor expansion of (log n) in k 1545218161.890 * [misc]taylor: Taking taylor expansion of n in k 1545218161.890 * [misc]backup-simplify: Simplify n into n 1545218161.890 * [misc]backup-simplify: Simplify (log n) into (log n) 1545218161.890 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218161.890 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.890 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545218161.890 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545218161.891 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545218161.891 * [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)))) 1545218161.891 * [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)))) 1545218161.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545218161.894 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545218161.894 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218161.895 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218161.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.895 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218161.896 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545218161.897 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218161.897 * [misc]taylor: Taking taylor expansion of 0 in k 1545218161.897 * [misc]backup-simplify: Simplify 0 into 0 1545218161.897 * [misc]backup-simplify: Simplify 0 into 0 1545218161.897 * [misc]backup-simplify: Simplify 0 into 0 1545218161.897 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218161.902 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545218161.902 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218161.903 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545218161.903 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.903 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218161.904 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545218161.906 * [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 1545218161.906 * [misc]taylor: Taking taylor expansion of 0 in k 1545218161.906 * [misc]backup-simplify: Simplify 0 into 0 1545218161.906 * [misc]backup-simplify: Simplify 0 into 0 1545218161.906 * [misc]backup-simplify: Simplify 0 into 0 1545218161.906 * [misc]backup-simplify: Simplify 0 into 0 1545218161.907 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218161.914 * [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 1545218161.914 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545218161.914 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545218161.915 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.915 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218161.916 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545218161.919 * [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 1545218161.919 * [misc]taylor: Taking taylor expansion of 0 in k 1545218161.919 * [misc]backup-simplify: Simplify 0 into 0 1545218161.919 * [misc]backup-simplify: Simplify 0 into 0 1545218161.919 * [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))))) 1545218161.919 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1545218161.920 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545218161.920 * [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 1545218161.920 * [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 1545218161.920 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545218161.920 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545218161.920 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545218161.920 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545218161.920 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218161.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.920 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218161.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.920 * [misc]taylor: Taking taylor expansion of k in n 1545218161.920 * [misc]backup-simplify: Simplify k into k 1545218161.920 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218161.920 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218161.920 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.920 * [misc]backup-simplify: Simplify 2 into 2 1545218161.920 * [misc]taylor: Taking taylor expansion of n in n 1545218161.920 * [misc]backup-simplify: Simplify 0 into 0 1545218161.921 * [misc]backup-simplify: Simplify 1 into 1 1545218161.921 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218161.921 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218161.921 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218161.921 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218161.921 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218161.921 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218161.922 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218161.922 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545218161.922 * [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)))) 1545218161.922 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545218161.922 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545218161.922 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545218161.922 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218161.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.922 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218161.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218161.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.923 * [misc]taylor: Taking taylor expansion of k in n 1545218161.923 * [misc]backup-simplify: Simplify k into k 1545218161.923 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218161.923 * [misc]taylor: Taking taylor expansion of PI in n 1545218161.923 * [misc]backup-simplify: Simplify PI into PI 1545218161.923 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.923 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218161.923 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218161.923 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218161.924 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545218161.924 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545218161.924 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545218161.924 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218161.924 * [misc]taylor: Taking taylor expansion of k in n 1545218161.924 * [misc]backup-simplify: Simplify k into k 1545218161.925 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218161.925 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545218161.925 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218161.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545218161.925 * [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 1545218161.925 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545218161.925 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218161.925 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218161.925 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218161.925 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218161.925 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.925 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218161.925 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.925 * [misc]taylor: Taking taylor expansion of k in k 1545218161.925 * [misc]backup-simplify: Simplify 0 into 0 1545218161.925 * [misc]backup-simplify: Simplify 1 into 1 1545218161.925 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218161.925 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218161.925 * [misc]taylor: Taking taylor expansion of 2 in k 1545218161.925 * [misc]backup-simplify: Simplify 2 into 2 1545218161.925 * [misc]taylor: Taking taylor expansion of n in k 1545218161.925 * [misc]backup-simplify: Simplify n into n 1545218161.925 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218161.926 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218161.926 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218161.926 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.926 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.926 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218161.926 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218161.926 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545218161.926 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545218161.926 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545218161.926 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218161.926 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.926 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218161.927 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.927 * [misc]taylor: Taking taylor expansion of k in k 1545218161.927 * [misc]backup-simplify: Simplify 0 into 0 1545218161.927 * [misc]backup-simplify: Simplify 1 into 1 1545218161.927 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218161.927 * [misc]taylor: Taking taylor expansion of PI in k 1545218161.927 * [misc]backup-simplify: Simplify PI into PI 1545218161.927 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.927 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218161.927 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.927 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.928 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218161.929 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545218161.929 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218161.929 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.929 * [misc]taylor: Taking taylor expansion of k in k 1545218161.929 * [misc]backup-simplify: Simplify 0 into 0 1545218161.929 * [misc]backup-simplify: Simplify 1 into 1 1545218161.929 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.929 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218161.930 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218161.930 * [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 1545218161.930 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545218161.930 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218161.930 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218161.930 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218161.930 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218161.930 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.930 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218161.930 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.930 * [misc]taylor: Taking taylor expansion of k in k 1545218161.930 * [misc]backup-simplify: Simplify 0 into 0 1545218161.930 * [misc]backup-simplify: Simplify 1 into 1 1545218161.930 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218161.930 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218161.930 * [misc]taylor: Taking taylor expansion of 2 in k 1545218161.930 * [misc]backup-simplify: Simplify 2 into 2 1545218161.930 * [misc]taylor: Taking taylor expansion of n in k 1545218161.930 * [misc]backup-simplify: Simplify n into n 1545218161.930 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218161.930 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218161.930 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218161.931 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.931 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.931 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218161.931 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218161.931 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545218161.931 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545218161.931 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545218161.931 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218161.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.931 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218161.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218161.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218161.931 * [misc]taylor: Taking taylor expansion of k in k 1545218161.931 * [misc]backup-simplify: Simplify 0 into 0 1545218161.931 * [misc]backup-simplify: Simplify 1 into 1 1545218161.931 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218161.931 * [misc]taylor: Taking taylor expansion of PI in k 1545218161.931 * [misc]backup-simplify: Simplify PI into PI 1545218161.932 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.932 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218161.932 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.932 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218161.933 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218161.933 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545218161.933 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218161.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218161.933 * [misc]taylor: Taking taylor expansion of k in k 1545218161.933 * [misc]backup-simplify: Simplify 0 into 0 1545218161.933 * [misc]backup-simplify: Simplify 1 into 1 1545218161.934 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218161.934 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218161.934 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218161.935 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545218161.935 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545218161.935 * [misc]taylor: Taking taylor expansion of 0 in n 1545218161.935 * [misc]backup-simplify: Simplify 0 into 0 1545218161.935 * [misc]backup-simplify: Simplify 0 into 0 1545218161.937 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218161.938 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218161.938 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218161.938 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218161.939 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545218161.943 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545218161.943 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545218161.944 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545218161.944 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218161.945 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218161.945 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218161.945 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545218161.945 * [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)))) 1545218161.947 * [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)))))) 1545218161.948 * [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))))) 1545218161.948 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545218161.948 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545218161.948 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218161.949 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218161.949 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545218161.949 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218161.949 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.949 * [misc]backup-simplify: Simplify 2 into 2 1545218161.949 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218161.949 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218161.949 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218161.949 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218161.949 * [misc]taylor: Taking taylor expansion of n in n 1545218161.949 * [misc]backup-simplify: Simplify 0 into 0 1545218161.949 * [misc]backup-simplify: Simplify 1 into 1 1545218161.949 * [misc]taylor: Taking taylor expansion of PI in n 1545218161.949 * [misc]backup-simplify: Simplify PI into PI 1545218161.949 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218161.950 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218161.950 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218161.951 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218161.951 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545218161.951 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218161.951 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.951 * [misc]backup-simplify: Simplify 0 into 0 1545218161.951 * [misc]backup-simplify: Simplify 0 into 0 1545218161.952 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545218161.953 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218161.957 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545218161.958 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218161.958 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.959 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545218161.964 * [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))) 1545218161.964 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545218161.966 * [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 1545218161.966 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218161.966 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.966 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.967 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545218161.968 * [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))) 1545218161.971 * [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))))))) 1545218161.976 * [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))))))))) 1545218161.976 * [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 1545218161.976 * [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 1545218161.976 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545218161.976 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218161.976 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218161.976 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545218161.976 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545218161.976 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218161.976 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.976 * [misc]backup-simplify: Simplify 2 into 2 1545218161.976 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218161.977 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218161.977 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218161.977 * [misc]taylor: Taking taylor expansion of PI in n 1545218161.977 * [misc]backup-simplify: Simplify PI into PI 1545218161.977 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218161.977 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218161.977 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218161.977 * [misc]taylor: Taking taylor expansion of PI in n 1545218161.977 * [misc]backup-simplify: Simplify PI into PI 1545218161.977 * [misc]taylor: Taking taylor expansion of n in n 1545218161.977 * [misc]backup-simplify: Simplify 0 into 0 1545218161.978 * [misc]backup-simplify: Simplify 1 into 1 1545218161.978 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218161.979 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218161.979 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218161.979 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218161.979 * [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 1545218161.979 * [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 1545218161.979 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545218161.980 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218161.980 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218161.980 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545218161.980 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218161.980 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.980 * [misc]backup-simplify: Simplify 2 into 2 1545218161.980 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218161.980 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218161.980 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218161.980 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218161.980 * [misc]taylor: Taking taylor expansion of n in n 1545218161.980 * [misc]backup-simplify: Simplify 0 into 0 1545218161.980 * [misc]backup-simplify: Simplify 1 into 1 1545218161.980 * [misc]taylor: Taking taylor expansion of PI in n 1545218161.980 * [misc]backup-simplify: Simplify PI into PI 1545218161.981 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218161.981 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218161.981 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218161.982 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218161.982 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545218161.982 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545218161.982 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218161.982 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218161.982 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545218161.982 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545218161.982 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218161.982 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.982 * [misc]backup-simplify: Simplify 2 into 2 1545218161.983 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218161.983 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218161.983 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218161.983 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218161.983 * [misc]taylor: Taking taylor expansion of 2 in n 1545218161.983 * [misc]backup-simplify: Simplify 2 into 2 1545218161.983 * [misc]taylor: Taking taylor expansion of n in n 1545218161.983 * [misc]backup-simplify: Simplify 0 into 0 1545218161.983 * [misc]backup-simplify: Simplify 1 into 1 1545218161.983 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218161.983 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218161.984 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218161.984 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218161.984 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218161.984 * [misc]taylor: Taking taylor expansion of PI in n 1545218161.984 * [misc]backup-simplify: Simplify PI into PI 1545218161.984 * [misc]taylor: Taking taylor expansion of n in n 1545218161.984 * [misc]backup-simplify: Simplify 0 into 0 1545218161.984 * [misc]backup-simplify: Simplify 1 into 1 1545218161.984 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218161.985 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218161.985 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218161.985 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218161.986 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545218161.987 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545218161.987 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218161.987 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545218161.988 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218161.988 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218161.988 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545218161.989 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545218161.989 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218161.989 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.989 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218161.990 * [misc]backup-simplify: Simplify (- 0) into 0 1545218161.990 * [misc]backup-simplify: Simplify 0 into 0 1545218161.991 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218161.993 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218161.994 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218161.995 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218161.995 * [misc]backup-simplify: Simplify 0 into 0 1545218161.995 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218161.996 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218162.003 * [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 1545218162.004 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545218162.004 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.004 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.006 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545218162.013 * [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))) 1545218162.013 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545218162.017 * [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 1545218162.017 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545218162.017 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.018 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.018 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545218162.020 * [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))) 1545218162.025 * [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))))))))) 1545218162.035 * [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))))))))))))))) 1545218162.035 * [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 1545218162.035 * [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 1545218162.035 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545218162.035 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.035 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.035 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545218162.035 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545218162.035 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218162.035 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.035 * [misc]backup-simplify: Simplify 2 into 2 1545218162.035 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218162.036 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218162.036 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.036 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.036 * [misc]backup-simplify: Simplify PI into PI 1545218162.036 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.036 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218162.036 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218162.036 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.036 * [misc]backup-simplify: Simplify PI into PI 1545218162.036 * [misc]taylor: Taking taylor expansion of n in n 1545218162.036 * [misc]backup-simplify: Simplify 0 into 0 1545218162.036 * [misc]backup-simplify: Simplify 1 into 1 1545218162.037 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218162.037 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218162.037 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.038 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218162.038 * [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 1545218162.038 * [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 1545218162.038 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545218162.038 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.038 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.038 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545218162.038 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545218162.038 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218162.038 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.038 * [misc]backup-simplify: Simplify 2 into 2 1545218162.038 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218162.039 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218162.039 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545218162.039 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.039 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.039 * [misc]backup-simplify: Simplify PI into PI 1545218162.039 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.039 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218162.039 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218162.039 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.039 * [misc]backup-simplify: Simplify PI into PI 1545218162.039 * [misc]taylor: Taking taylor expansion of n in n 1545218162.039 * [misc]backup-simplify: Simplify 0 into 0 1545218162.039 * [misc]backup-simplify: Simplify 1 into 1 1545218162.039 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218162.040 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218162.040 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.040 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218162.040 * [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 1545218162.040 * [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 1545218162.040 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545218162.040 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.040 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.040 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545218162.040 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545218162.040 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218162.040 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.040 * [misc]backup-simplify: Simplify 2 into 2 1545218162.040 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218162.041 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218162.041 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545218162.041 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218162.041 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218162.041 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.041 * [misc]backup-simplify: Simplify 2 into 2 1545218162.041 * [misc]taylor: Taking taylor expansion of n in n 1545218162.041 * [misc]backup-simplify: Simplify 0 into 0 1545218162.041 * [misc]backup-simplify: Simplify 1 into 1 1545218162.041 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218162.041 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218162.041 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.041 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218162.041 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218162.041 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218162.041 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.041 * [misc]backup-simplify: Simplify PI into PI 1545218162.041 * [misc]taylor: Taking taylor expansion of n in n 1545218162.041 * [misc]backup-simplify: Simplify 0 into 0 1545218162.041 * [misc]backup-simplify: Simplify 1 into 1 1545218162.041 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218162.042 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218162.042 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.042 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218162.042 * [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 1545218162.042 * [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 1545218162.042 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545218162.042 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.042 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.042 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545218162.042 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545218162.042 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218162.042 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.042 * [misc]backup-simplify: Simplify 2 into 2 1545218162.043 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218162.043 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218162.043 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545218162.043 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218162.043 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218162.043 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.043 * [misc]backup-simplify: Simplify 2 into 2 1545218162.043 * [misc]taylor: Taking taylor expansion of n in n 1545218162.043 * [misc]backup-simplify: Simplify 0 into 0 1545218162.043 * [misc]backup-simplify: Simplify 1 into 1 1545218162.043 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218162.043 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218162.043 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.043 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.043 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.043 * [misc]backup-simplify: Simplify PI into PI 1545218162.043 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.043 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218162.043 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218162.043 * [misc]taylor: Taking taylor expansion of n in n 1545218162.043 * [misc]backup-simplify: Simplify 0 into 0 1545218162.043 * [misc]backup-simplify: Simplify 1 into 1 1545218162.043 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.044 * [misc]backup-simplify: Simplify PI into PI 1545218162.044 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218162.044 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218162.044 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.044 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218162.044 * [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 1545218162.044 * [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 1545218162.044 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545218162.045 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.045 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.045 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545218162.045 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218162.045 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.045 * [misc]backup-simplify: Simplify 2 into 2 1545218162.045 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218162.045 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218162.045 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545218162.045 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545218162.045 * [misc]taylor: Taking taylor expansion of n in n 1545218162.045 * [misc]backup-simplify: Simplify 0 into 0 1545218162.045 * [misc]backup-simplify: Simplify 1 into 1 1545218162.045 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.045 * [misc]backup-simplify: Simplify PI into PI 1545218162.045 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545218162.045 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545218162.046 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.046 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218162.046 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545218162.046 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545218162.046 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.046 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.046 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545218162.046 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545218162.046 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218162.046 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.046 * [misc]backup-simplify: Simplify 2 into 2 1545218162.046 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218162.046 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218162.046 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218162.046 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218162.046 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.046 * [misc]backup-simplify: Simplify 2 into 2 1545218162.046 * [misc]taylor: Taking taylor expansion of n in n 1545218162.046 * [misc]backup-simplify: Simplify 0 into 0 1545218162.046 * [misc]backup-simplify: Simplify 1 into 1 1545218162.046 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218162.047 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218162.047 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.047 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545218162.047 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545218162.047 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.047 * [misc]backup-simplify: Simplify PI into PI 1545218162.047 * [misc]taylor: Taking taylor expansion of n in n 1545218162.047 * [misc]backup-simplify: Simplify 0 into 0 1545218162.047 * [misc]backup-simplify: Simplify 1 into 1 1545218162.047 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545218162.047 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545218162.048 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.048 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545218162.048 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545218162.049 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545218162.049 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218162.049 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545218162.050 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545218162.051 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545218162.051 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218162.051 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218162.051 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218162.052 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545218162.052 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545218162.052 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545218162.052 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218162.052 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218162.053 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545218162.053 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545218162.054 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545218162.054 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218162.054 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545218162.054 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218162.054 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218162.054 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545218162.055 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545218162.055 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545218162.055 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.055 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.055 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.055 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.056 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.056 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.056 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.056 * [misc]backup-simplify: Simplify 0 into 0 1545218162.057 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218162.058 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545218162.059 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545218162.060 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545218162.061 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218162.062 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545218162.062 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545218162.064 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218162.064 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218162.064 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545218162.065 * [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)))))) 1545218162.066 * [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)))))) 1545218162.067 * [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)))))) 1545218162.069 * [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))))))) 1545218162.071 * [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))))))) 1545218162.076 * [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))))))))) 1545218162.083 * [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))))))))) 1545218162.090 * [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))))))))) 1545218162.091 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545218162.093 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545218162.094 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545218162.097 * [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)))) 1545218162.101 * [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)))) 1545218162.102 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545218162.104 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545218162.113 * [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))))))))))))))) 1545218162.114 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545218162.114 * [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 1545218162.114 * [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 1545218162.114 * [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 1545218162.114 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.114 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545218162.114 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545218162.114 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.114 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.114 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.114 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.114 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.114 * [misc]taylor: Taking taylor expansion of k in n 1545218162.114 * [misc]backup-simplify: Simplify k into k 1545218162.114 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.114 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.114 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.114 * [misc]backup-simplify: Simplify PI into PI 1545218162.115 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.115 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.115 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.115 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.115 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545218162.116 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.116 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.116 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218162.116 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218162.116 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.116 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.116 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.116 * [misc]taylor: Taking taylor expansion of k in n 1545218162.116 * [misc]backup-simplify: Simplify k into k 1545218162.116 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.116 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218162.116 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218162.116 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.116 * [misc]backup-simplify: Simplify 2 into 2 1545218162.116 * [misc]taylor: Taking taylor expansion of n in n 1545218162.116 * [misc]backup-simplify: Simplify 0 into 0 1545218162.116 * [misc]backup-simplify: Simplify 1 into 1 1545218162.117 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218162.117 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.117 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.117 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.117 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.117 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.118 * [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))) 1545218162.118 * [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)))) 1545218162.118 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545218162.118 * [misc]taylor: Taking taylor expansion of k in n 1545218162.118 * [misc]backup-simplify: Simplify k into k 1545218162.118 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545218162.118 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545218162.118 * [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 1545218162.118 * [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 1545218162.118 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218162.118 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545218162.118 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545218162.118 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218162.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.119 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.119 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.119 * [misc]taylor: Taking taylor expansion of k in k 1545218162.119 * [misc]backup-simplify: Simplify 0 into 0 1545218162.119 * [misc]backup-simplify: Simplify 1 into 1 1545218162.119 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.119 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218162.119 * [misc]taylor: Taking taylor expansion of PI in k 1545218162.119 * [misc]backup-simplify: Simplify PI into PI 1545218162.119 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.119 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.120 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218162.120 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218162.120 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545218162.121 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.121 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218162.121 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218162.121 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218162.121 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218162.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.121 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.121 * [misc]taylor: Taking taylor expansion of k in k 1545218162.121 * [misc]backup-simplify: Simplify 0 into 0 1545218162.121 * [misc]backup-simplify: Simplify 1 into 1 1545218162.121 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.121 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218162.121 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218162.121 * [misc]taylor: Taking taylor expansion of 2 in k 1545218162.122 * [misc]backup-simplify: Simplify 2 into 2 1545218162.122 * [misc]taylor: Taking taylor expansion of n in k 1545218162.122 * [misc]backup-simplify: Simplify n into n 1545218162.122 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218162.122 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218162.122 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.122 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218162.122 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218162.122 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218162.123 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.123 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218162.123 * [misc]taylor: Taking taylor expansion of k in k 1545218162.123 * [misc]backup-simplify: Simplify 0 into 0 1545218162.123 * [misc]backup-simplify: Simplify 1 into 1 1545218162.123 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.123 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218162.123 * [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 1545218162.123 * [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 1545218162.123 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218162.123 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545218162.123 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545218162.123 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218162.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.123 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.124 * [misc]taylor: Taking taylor expansion of k in k 1545218162.124 * [misc]backup-simplify: Simplify 0 into 0 1545218162.124 * [misc]backup-simplify: Simplify 1 into 1 1545218162.124 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.124 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218162.124 * [misc]taylor: Taking taylor expansion of PI in k 1545218162.124 * [misc]backup-simplify: Simplify PI into PI 1545218162.124 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.124 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.124 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218162.124 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218162.124 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545218162.125 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.125 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218162.125 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218162.125 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218162.125 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218162.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.125 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.125 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.125 * [misc]taylor: Taking taylor expansion of k in k 1545218162.125 * [misc]backup-simplify: Simplify 0 into 0 1545218162.125 * [misc]backup-simplify: Simplify 1 into 1 1545218162.125 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.125 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218162.125 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218162.125 * [misc]taylor: Taking taylor expansion of 2 in k 1545218162.125 * [misc]backup-simplify: Simplify 2 into 2 1545218162.125 * [misc]taylor: Taking taylor expansion of n in k 1545218162.125 * [misc]backup-simplify: Simplify n into n 1545218162.125 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218162.125 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218162.125 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.125 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218162.126 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218162.126 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218162.126 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.126 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218162.126 * [misc]taylor: Taking taylor expansion of k in k 1545218162.126 * [misc]backup-simplify: Simplify 0 into 0 1545218162.126 * [misc]backup-simplify: Simplify 1 into 1 1545218162.126 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.126 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218162.126 * [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))))) 1545218162.127 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545218162.127 * [misc]taylor: Taking taylor expansion of 0 in n 1545218162.127 * [misc]backup-simplify: Simplify 0 into 0 1545218162.127 * [misc]backup-simplify: Simplify 0 into 0 1545218162.127 * [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 1545218162.127 * [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))))))) 1545218162.127 * [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 1545218162.127 * [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 1545218162.127 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.127 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.127 * [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 1545218162.127 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.127 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545218162.127 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545218162.127 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.127 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.127 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.127 * [misc]taylor: Taking taylor expansion of k in n 1545218162.127 * [misc]backup-simplify: Simplify k into k 1545218162.127 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.127 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.127 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.127 * [misc]backup-simplify: Simplify PI into PI 1545218162.128 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.128 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.128 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.128 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.128 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545218162.128 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.128 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.128 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218162.128 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218162.128 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.128 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.128 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.128 * [misc]taylor: Taking taylor expansion of k in n 1545218162.128 * [misc]backup-simplify: Simplify k into k 1545218162.128 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.128 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218162.128 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218162.129 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.129 * [misc]backup-simplify: Simplify 2 into 2 1545218162.129 * [misc]taylor: Taking taylor expansion of n in n 1545218162.129 * [misc]backup-simplify: Simplify 0 into 0 1545218162.129 * [misc]backup-simplify: Simplify 1 into 1 1545218162.129 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218162.129 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.129 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.129 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.129 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.129 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.129 * [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))) 1545218162.130 * [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)))) 1545218162.130 * [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))))) 1545218162.130 * [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)))))) 1545218162.130 * [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))))))) 1545218162.131 * [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))))))) 1545218162.131 * [misc]backup-simplify: Simplify 0 into 0 1545218162.132 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218162.132 * [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 1545218162.132 * [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))))))) 1545218162.132 * [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 1545218162.132 * [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 1545218162.132 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.132 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.132 * [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 1545218162.133 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.133 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545218162.133 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545218162.133 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.133 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.133 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.133 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.133 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.133 * [misc]taylor: Taking taylor expansion of k in n 1545218162.133 * [misc]backup-simplify: Simplify k into k 1545218162.133 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.133 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.133 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.133 * [misc]backup-simplify: Simplify PI into PI 1545218162.133 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.133 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.133 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.133 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.133 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545218162.134 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.134 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.134 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218162.134 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218162.134 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.134 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.134 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.134 * [misc]taylor: Taking taylor expansion of k in n 1545218162.134 * [misc]backup-simplify: Simplify k into k 1545218162.134 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.134 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218162.134 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218162.134 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.134 * [misc]backup-simplify: Simplify 2 into 2 1545218162.134 * [misc]taylor: Taking taylor expansion of n in n 1545218162.134 * [misc]backup-simplify: Simplify 0 into 0 1545218162.134 * [misc]backup-simplify: Simplify 1 into 1 1545218162.134 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218162.134 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.134 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.134 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.134 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.135 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.135 * [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))) 1545218162.135 * [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)))) 1545218162.135 * [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))))) 1545218162.135 * [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)))))) 1545218162.136 * [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))))))) 1545218162.136 * [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))))))) 1545218162.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545218162.138 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218162.138 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218162.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218162.138 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.138 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.138 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.138 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545218162.139 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218162.142 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218162.142 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218162.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218162.142 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.142 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.142 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545218162.143 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218162.144 * [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 1545218162.144 * [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 1545218162.144 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.144 * [misc]backup-simplify: Simplify 0 into 0 1545218162.144 * [misc]backup-simplify: Simplify 0 into 0 1545218162.145 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218162.145 * [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 1545218162.145 * [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))))))) 1545218162.146 * [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 1545218162.146 * [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 1545218162.146 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.146 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.146 * [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 1545218162.146 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.146 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545218162.146 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545218162.146 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.146 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.146 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.146 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.146 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.146 * [misc]taylor: Taking taylor expansion of k in n 1545218162.146 * [misc]backup-simplify: Simplify k into k 1545218162.146 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.146 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.146 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.146 * [misc]backup-simplify: Simplify PI into PI 1545218162.146 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.146 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.146 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.146 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.146 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545218162.147 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.147 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.147 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218162.147 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218162.147 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.147 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.147 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.147 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.147 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.147 * [misc]taylor: Taking taylor expansion of k in n 1545218162.147 * [misc]backup-simplify: Simplify k into k 1545218162.147 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.147 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218162.147 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218162.147 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.147 * [misc]backup-simplify: Simplify 2 into 2 1545218162.147 * [misc]taylor: Taking taylor expansion of n in n 1545218162.147 * [misc]backup-simplify: Simplify 0 into 0 1545218162.147 * [misc]backup-simplify: Simplify 1 into 1 1545218162.147 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218162.147 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.147 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.147 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.147 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.148 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.148 * [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))) 1545218162.148 * [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)))) 1545218162.148 * [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))))) 1545218162.149 * [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)))))) 1545218162.149 * [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))))))) 1545218162.149 * [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))))))) 1545218162.151 * [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)))))))) 1545218162.151 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545218162.151 * [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 1545218162.151 * [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 1545218162.151 * [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 1545218162.151 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.151 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218162.151 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218162.152 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.152 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.152 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.152 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.152 * [misc]taylor: Taking taylor expansion of k in n 1545218162.152 * [misc]backup-simplify: Simplify k into k 1545218162.152 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.152 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.152 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218162.152 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218162.152 * [misc]taylor: Taking taylor expansion of -2 in n 1545218162.152 * [misc]backup-simplify: Simplify -2 into -2 1545218162.152 * [misc]taylor: Taking taylor expansion of n in n 1545218162.152 * [misc]backup-simplify: Simplify 0 into 0 1545218162.152 * [misc]backup-simplify: Simplify 1 into 1 1545218162.152 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218162.152 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218162.153 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.153 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.153 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.153 * [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))) 1545218162.153 * [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)))) 1545218162.153 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.153 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545218162.153 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545218162.153 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.153 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.153 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.153 * [misc]taylor: Taking taylor expansion of k in n 1545218162.153 * [misc]backup-simplify: Simplify k into k 1545218162.154 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.154 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.154 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.154 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.154 * [misc]backup-simplify: Simplify PI into PI 1545218162.154 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.154 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.154 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.154 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545218162.154 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.154 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545218162.155 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545218162.155 * [misc]taylor: Taking taylor expansion of -1 in n 1545218162.155 * [misc]backup-simplify: Simplify -1 into -1 1545218162.155 * [misc]taylor: Taking taylor expansion of k in n 1545218162.155 * [misc]backup-simplify: Simplify k into k 1545218162.155 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545218162.155 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545218162.155 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545218162.155 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545218162.155 * [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))) 1545218162.155 * [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))) 1545218162.155 * [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 1545218162.155 * [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 1545218162.155 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.156 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of k in k 1545218162.156 * [misc]backup-simplify: Simplify 0 into 0 1545218162.156 * [misc]backup-simplify: Simplify 1 into 1 1545218162.156 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.156 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.156 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of -2 in k 1545218162.156 * [misc]backup-simplify: Simplify -2 into -2 1545218162.156 * [misc]taylor: Taking taylor expansion of n in k 1545218162.156 * [misc]backup-simplify: Simplify n into n 1545218162.156 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218162.156 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218162.156 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.156 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218162.156 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218162.156 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.156 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545218162.156 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545218162.157 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218162.157 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.157 * [misc]taylor: Taking taylor expansion of k in k 1545218162.157 * [misc]backup-simplify: Simplify 0 into 0 1545218162.157 * [misc]backup-simplify: Simplify 1 into 1 1545218162.157 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.157 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218162.157 * [misc]taylor: Taking taylor expansion of PI in k 1545218162.157 * [misc]backup-simplify: Simplify PI into PI 1545218162.157 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.157 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.157 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218162.158 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218162.158 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.158 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218162.158 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218162.158 * [misc]taylor: Taking taylor expansion of -1 in k 1545218162.158 * [misc]backup-simplify: Simplify -1 into -1 1545218162.158 * [misc]taylor: Taking taylor expansion of k in k 1545218162.158 * [misc]backup-simplify: Simplify 0 into 0 1545218162.158 * [misc]backup-simplify: Simplify 1 into 1 1545218162.158 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218162.158 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.158 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218162.159 * [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))) 1545218162.159 * [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)))) 1545218162.159 * [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 1545218162.159 * [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 1545218162.159 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218162.159 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218162.159 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218162.159 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218162.159 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.159 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.159 * [misc]taylor: Taking taylor expansion of k in k 1545218162.159 * [misc]backup-simplify: Simplify 0 into 0 1545218162.159 * [misc]backup-simplify: Simplify 1 into 1 1545218162.159 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.159 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218162.159 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218162.159 * [misc]taylor: Taking taylor expansion of -2 in k 1545218162.159 * [misc]backup-simplify: Simplify -2 into -2 1545218162.159 * [misc]taylor: Taking taylor expansion of n in k 1545218162.159 * [misc]backup-simplify: Simplify n into n 1545218162.159 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218162.159 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218162.159 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.160 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218162.160 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218162.160 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.160 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218162.160 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545218162.160 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545218162.160 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218162.160 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.160 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.160 * [misc]taylor: Taking taylor expansion of k in k 1545218162.160 * [misc]backup-simplify: Simplify 0 into 0 1545218162.160 * [misc]backup-simplify: Simplify 1 into 1 1545218162.160 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.160 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545218162.160 * [misc]taylor: Taking taylor expansion of PI in k 1545218162.160 * [misc]backup-simplify: Simplify PI into PI 1545218162.160 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.160 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.161 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218162.161 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545218162.161 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.161 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218162.161 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218162.161 * [misc]taylor: Taking taylor expansion of -1 in k 1545218162.161 * [misc]backup-simplify: Simplify -1 into -1 1545218162.161 * [misc]taylor: Taking taylor expansion of k in k 1545218162.161 * [misc]backup-simplify: Simplify 0 into 0 1545218162.161 * [misc]backup-simplify: Simplify 1 into 1 1545218162.161 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218162.161 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.162 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218162.162 * [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))) 1545218162.162 * [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)))) 1545218162.162 * [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 1545218162.162 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.162 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.162 * [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 1545218162.162 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.162 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218162.162 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218162.162 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.162 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.162 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.162 * [misc]taylor: Taking taylor expansion of k in n 1545218162.162 * [misc]backup-simplify: Simplify k into k 1545218162.162 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.162 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218162.162 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218162.162 * [misc]taylor: Taking taylor expansion of -2 in n 1545218162.162 * [misc]backup-simplify: Simplify -2 into -2 1545218162.162 * [misc]taylor: Taking taylor expansion of n in n 1545218162.163 * [misc]backup-simplify: Simplify 0 into 0 1545218162.163 * [misc]backup-simplify: Simplify 1 into 1 1545218162.163 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218162.163 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218162.163 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.163 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.163 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.163 * [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))) 1545218162.164 * [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)))) 1545218162.164 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.164 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545218162.164 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545218162.164 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.164 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.164 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.164 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.164 * [misc]taylor: Taking taylor expansion of k in n 1545218162.164 * [misc]backup-simplify: Simplify k into k 1545218162.164 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.164 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.164 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.164 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.164 * [misc]backup-simplify: Simplify PI into PI 1545218162.164 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.164 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.164 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.164 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545218162.165 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.165 * [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))) 1545218162.165 * [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)))) 1545218162.165 * [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)))) 1545218162.166 * [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 1545218162.166 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545218162.167 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218162.167 * [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))))) 1545218162.167 * [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 1545218162.167 * [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 1545218162.167 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.167 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.167 * [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 1545218162.167 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.167 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218162.167 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218162.167 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.167 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.167 * [misc]taylor: Taking taylor expansion of k in n 1545218162.167 * [misc]backup-simplify: Simplify k into k 1545218162.167 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.167 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218162.167 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218162.167 * [misc]taylor: Taking taylor expansion of -2 in n 1545218162.167 * [misc]backup-simplify: Simplify -2 into -2 1545218162.167 * [misc]taylor: Taking taylor expansion of n in n 1545218162.167 * [misc]backup-simplify: Simplify 0 into 0 1545218162.167 * [misc]backup-simplify: Simplify 1 into 1 1545218162.168 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218162.168 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218162.168 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.168 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.168 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.168 * [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))) 1545218162.168 * [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)))) 1545218162.168 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.169 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545218162.169 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545218162.169 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.169 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.169 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.169 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.169 * [misc]taylor: Taking taylor expansion of k in n 1545218162.169 * [misc]backup-simplify: Simplify k into k 1545218162.169 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.169 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.169 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.169 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.169 * [misc]backup-simplify: Simplify PI into PI 1545218162.169 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.169 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.169 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.169 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545218162.170 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.170 * [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))) 1545218162.170 * [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)))) 1545218162.170 * [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))))) 1545218162.171 * [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))))) 1545218162.172 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545218162.172 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218162.173 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218162.173 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.173 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545218162.174 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218162.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545218162.175 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545218162.176 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218162.176 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218162.176 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.176 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.176 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545218162.177 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218162.178 * [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 1545218162.178 * [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 1545218162.178 * [misc]backup-simplify: Simplify 0 into 0 1545218162.178 * [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 1545218162.179 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218162.179 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218162.180 * [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))))) 1545218162.180 * [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 1545218162.180 * [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 1545218162.180 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.180 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.180 * [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 1545218162.180 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.180 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218162.180 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218162.180 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.180 * [misc]taylor: Taking taylor expansion of k in n 1545218162.180 * [misc]backup-simplify: Simplify k into k 1545218162.180 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.181 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218162.181 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218162.181 * [misc]taylor: Taking taylor expansion of -2 in n 1545218162.181 * [misc]backup-simplify: Simplify -2 into -2 1545218162.181 * [misc]taylor: Taking taylor expansion of n in n 1545218162.181 * [misc]backup-simplify: Simplify 0 into 0 1545218162.181 * [misc]backup-simplify: Simplify 1 into 1 1545218162.181 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218162.181 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218162.181 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.181 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.181 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.181 * [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))) 1545218162.182 * [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)))) 1545218162.182 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.182 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545218162.182 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545218162.182 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.182 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.182 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.182 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.182 * [misc]taylor: Taking taylor expansion of k in n 1545218162.182 * [misc]backup-simplify: Simplify k into k 1545218162.182 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.182 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.182 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545218162.182 * [misc]taylor: Taking taylor expansion of PI in n 1545218162.182 * [misc]backup-simplify: Simplify PI into PI 1545218162.182 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545218162.182 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.182 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.183 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545218162.183 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.183 * [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))) 1545218162.184 * [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)))) 1545218162.184 * [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))))) 1545218162.184 * [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))))) 1545218162.186 * [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)))))))) 1545218162.186 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545218162.186 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545218162.186 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545218162.186 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545218162.186 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1545218162.186 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545218162.186 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545218162.186 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545218162.186 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545218162.186 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.186 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.186 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545218162.186 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.186 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.186 * [misc]taylor: Taking taylor expansion of k in n 1545218162.186 * [misc]backup-simplify: Simplify k into k 1545218162.186 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218162.186 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218162.186 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.186 * [misc]backup-simplify: Simplify 2 into 2 1545218162.186 * [misc]taylor: Taking taylor expansion of n in n 1545218162.186 * [misc]backup-simplify: Simplify 0 into 0 1545218162.186 * [misc]backup-simplify: Simplify 1 into 1 1545218162.187 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218162.187 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218162.187 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.187 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545218162.187 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545218162.187 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545218162.187 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218162.188 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545218162.188 * [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)))) 1545218162.188 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1545218162.188 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545218162.188 * [misc]taylor: Taking taylor expansion of k in n 1545218162.188 * [misc]backup-simplify: Simplify k into k 1545218162.188 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545218162.188 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545218162.189 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545218162.189 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545218162.189 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218162.189 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218162.189 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218162.189 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218162.189 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.189 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218162.189 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.189 * [misc]taylor: Taking taylor expansion of k in k 1545218162.189 * [misc]backup-simplify: Simplify 0 into 0 1545218162.189 * [misc]backup-simplify: Simplify 1 into 1 1545218162.189 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218162.189 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218162.189 * [misc]taylor: Taking taylor expansion of 2 in k 1545218162.189 * [misc]backup-simplify: Simplify 2 into 2 1545218162.189 * [misc]taylor: Taking taylor expansion of n in k 1545218162.189 * [misc]backup-simplify: Simplify n into n 1545218162.189 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218162.189 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218162.189 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218162.189 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.190 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218162.190 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218162.190 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218162.190 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545218162.190 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218162.190 * [misc]taylor: Taking taylor expansion of k in k 1545218162.190 * [misc]backup-simplify: Simplify 0 into 0 1545218162.190 * [misc]backup-simplify: Simplify 1 into 1 1545218162.190 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.191 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218162.191 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545218162.191 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545218162.191 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545218162.191 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545218162.191 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545218162.191 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545218162.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.191 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545218162.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.191 * [misc]taylor: Taking taylor expansion of k in k 1545218162.191 * [misc]backup-simplify: Simplify 0 into 0 1545218162.191 * [misc]backup-simplify: Simplify 1 into 1 1545218162.191 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545218162.191 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545218162.191 * [misc]taylor: Taking taylor expansion of 2 in k 1545218162.191 * [misc]backup-simplify: Simplify 2 into 2 1545218162.191 * [misc]taylor: Taking taylor expansion of n in k 1545218162.191 * [misc]backup-simplify: Simplify n into n 1545218162.192 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545218162.192 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545218162.192 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545218162.192 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.192 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218162.192 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545218162.192 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545218162.192 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545218162.192 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545218162.193 * [misc]taylor: Taking taylor expansion of k in k 1545218162.193 * [misc]backup-simplify: Simplify 0 into 0 1545218162.193 * [misc]backup-simplify: Simplify 1 into 1 1545218162.193 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.193 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218162.193 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1545218162.193 * [misc]taylor: Taking taylor expansion of 0 in n 1545218162.194 * [misc]backup-simplify: Simplify 0 into 0 1545218162.194 * [misc]backup-simplify: Simplify 0 into 0 1545218162.194 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545218162.195 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545218162.195 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545218162.195 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218162.195 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218162.196 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545218162.196 * [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)))) 1545218162.196 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1545218162.197 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1545218162.198 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545218162.198 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545218162.198 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.198 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.198 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545218162.198 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545218162.198 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545218162.198 * [misc]taylor: Taking taylor expansion of n in n 1545218162.198 * [misc]backup-simplify: Simplify 0 into 0 1545218162.198 * [misc]backup-simplify: Simplify 1 into 1 1545218162.198 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.198 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.199 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218162.199 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545218162.199 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.199 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545218162.199 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545218162.200 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545218162.200 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545218162.201 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545218162.202 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545218162.202 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545218162.203 * [misc]backup-simplify: Simplify 0 into 0 1545218162.204 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218162.204 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545218162.205 * [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 1545218162.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545218162.206 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545218162.207 * [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))) 1545218162.209 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1545218162.213 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1545218162.213 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1545218162.213 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1545218162.213 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1545218162.213 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.213 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.213 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1545218162.213 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1545218162.213 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545218162.213 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.213 * [misc]backup-simplify: Simplify 2 into 2 1545218162.214 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545218162.214 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545218162.214 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1545218162.214 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545218162.214 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545218162.214 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.214 * [misc]backup-simplify: Simplify 2 into 2 1545218162.214 * [misc]taylor: Taking taylor expansion of n in n 1545218162.214 * [misc]backup-simplify: Simplify 0 into 0 1545218162.214 * [misc]backup-simplify: Simplify 1 into 1 1545218162.214 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545218162.214 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545218162.215 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.215 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545218162.215 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545218162.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.215 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545218162.215 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545218162.215 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545218162.215 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545218162.215 * [misc]taylor: Taking taylor expansion of n in n 1545218162.215 * [misc]backup-simplify: Simplify 0 into 0 1545218162.215 * [misc]backup-simplify: Simplify 1 into 1 1545218162.215 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.216 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.216 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218162.216 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545218162.216 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545218162.216 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.216 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.216 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545218162.216 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545218162.216 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545218162.216 * [misc]taylor: Taking taylor expansion of n in n 1545218162.216 * [misc]backup-simplify: Simplify 0 into 0 1545218162.216 * [misc]backup-simplify: Simplify 1 into 1 1545218162.217 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.217 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.217 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218162.217 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545218162.217 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.217 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545218162.218 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545218162.218 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218162.219 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545218162.219 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1545218162.220 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1545218162.220 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545218162.220 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545218162.220 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545218162.222 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218162.222 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545218162.223 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1545218162.224 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545218162.224 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1545218162.226 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545218162.226 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545218162.226 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545218162.227 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545218162.228 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545218162.230 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1545218162.231 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545218162.234 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545218162.235 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545218162.235 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545218162.235 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218162.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545218162.237 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1545218162.237 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545218162.238 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545218162.241 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545218162.241 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545218162.241 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545218162.241 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.241 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of k in n 1545218162.241 * [misc]backup-simplify: Simplify k into k 1545218162.241 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.241 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218162.241 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.241 * [misc]backup-simplify: Simplify 2 into 2 1545218162.241 * [misc]taylor: Taking taylor expansion of n in n 1545218162.241 * [misc]backup-simplify: Simplify 0 into 0 1545218162.241 * [misc]backup-simplify: Simplify 1 into 1 1545218162.241 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218162.242 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.242 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.242 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.242 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.242 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.242 * [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))) 1545218162.242 * [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)))) 1545218162.243 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218162.243 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545218162.243 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.243 * [misc]taylor: Taking taylor expansion of k in n 1545218162.243 * [misc]backup-simplify: Simplify k into k 1545218162.243 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.243 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545218162.243 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218162.243 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545218162.243 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.243 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.243 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of k in k 1545218162.243 * [misc]backup-simplify: Simplify 0 into 0 1545218162.243 * [misc]backup-simplify: Simplify 1 into 1 1545218162.243 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.243 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218162.243 * [misc]taylor: Taking taylor expansion of 2 in k 1545218162.243 * [misc]backup-simplify: Simplify 2 into 2 1545218162.243 * [misc]taylor: Taking taylor expansion of n in k 1545218162.243 * [misc]backup-simplify: Simplify n into n 1545218162.243 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218162.243 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218162.244 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.244 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218162.244 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218162.244 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218162.244 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.244 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545218162.244 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218162.244 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.244 * [misc]taylor: Taking taylor expansion of k in k 1545218162.244 * [misc]backup-simplify: Simplify 0 into 0 1545218162.244 * [misc]backup-simplify: Simplify 1 into 1 1545218162.244 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.244 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.245 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218162.245 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.245 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.245 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of k in k 1545218162.245 * [misc]backup-simplify: Simplify 0 into 0 1545218162.245 * [misc]backup-simplify: Simplify 1 into 1 1545218162.245 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.245 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545218162.245 * [misc]taylor: Taking taylor expansion of 2 in k 1545218162.245 * [misc]backup-simplify: Simplify 2 into 2 1545218162.245 * [misc]taylor: Taking taylor expansion of n in k 1545218162.245 * [misc]backup-simplify: Simplify n into n 1545218162.245 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545218162.245 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545218162.245 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.245 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545218162.246 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545218162.246 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545218162.246 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545218162.246 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545218162.246 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545218162.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.246 * [misc]taylor: Taking taylor expansion of k in k 1545218162.246 * [misc]backup-simplify: Simplify 0 into 0 1545218162.246 * [misc]backup-simplify: Simplify 1 into 1 1545218162.246 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.246 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.246 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545218162.247 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545218162.247 * [misc]taylor: Taking taylor expansion of 0 in n 1545218162.247 * [misc]backup-simplify: Simplify 0 into 0 1545218162.247 * [misc]backup-simplify: Simplify 0 into 0 1545218162.247 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545218162.247 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545218162.247 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.247 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.247 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.247 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of k in n 1545218162.247 * [misc]backup-simplify: Simplify k into k 1545218162.247 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.247 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218162.247 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.247 * [misc]backup-simplify: Simplify 2 into 2 1545218162.247 * [misc]taylor: Taking taylor expansion of n in n 1545218162.247 * [misc]backup-simplify: Simplify 0 into 0 1545218162.247 * [misc]backup-simplify: Simplify 1 into 1 1545218162.248 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218162.248 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.248 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.248 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.248 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.248 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.248 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545218162.249 * [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)))) 1545218162.249 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218162.249 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218162.249 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218162.249 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218162.249 * [misc]backup-simplify: Simplify 0 into 0 1545218162.250 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545218162.250 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218162.251 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545218162.251 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545218162.251 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.251 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.251 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.251 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.251 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of k in n 1545218162.251 * [misc]backup-simplify: Simplify k into k 1545218162.251 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.251 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218162.251 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.251 * [misc]backup-simplify: Simplify 2 into 2 1545218162.251 * [misc]taylor: Taking taylor expansion of n in n 1545218162.251 * [misc]backup-simplify: Simplify 0 into 0 1545218162.251 * [misc]backup-simplify: Simplify 1 into 1 1545218162.251 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218162.252 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.252 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.252 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.252 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.252 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.252 * [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))) 1545218162.252 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545218162.253 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218162.253 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218162.253 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218162.253 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218162.253 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545218162.256 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545218162.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218162.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218162.257 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.257 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.257 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.257 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545218162.259 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218162.259 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545218162.260 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545218162.260 * [misc]backup-simplify: Simplify (- 0) into 0 1545218162.260 * [misc]backup-simplify: Simplify 0 into 0 1545218162.260 * [misc]backup-simplify: Simplify 0 into 0 1545218162.261 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218162.262 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218162.262 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545218162.263 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545218162.263 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545218162.263 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545218162.263 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.263 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.263 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545218162.263 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545218162.263 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545218162.263 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545218162.263 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545218162.263 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.263 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.263 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.263 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.263 * [misc]taylor: Taking taylor expansion of k in n 1545218162.263 * [misc]backup-simplify: Simplify k into k 1545218162.263 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.264 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545218162.264 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545218162.264 * [misc]taylor: Taking taylor expansion of 2 in n 1545218162.264 * [misc]backup-simplify: Simplify 2 into 2 1545218162.264 * [misc]taylor: Taking taylor expansion of n in n 1545218162.264 * [misc]backup-simplify: Simplify 0 into 0 1545218162.264 * [misc]backup-simplify: Simplify 1 into 1 1545218162.264 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545218162.264 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545218162.264 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.264 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545218162.264 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545218162.265 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545218162.265 * [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))) 1545218162.265 * [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)))) 1545218162.266 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218162.266 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545218162.266 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218162.267 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545218162.269 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545218162.269 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545218162.269 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545218162.269 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218162.269 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545218162.269 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545218162.269 * [misc]taylor: Taking taylor expansion of -1 in n 1545218162.269 * [misc]backup-simplify: Simplify -1 into -1 1545218162.269 * [misc]taylor: Taking taylor expansion of k in n 1545218162.269 * [misc]backup-simplify: Simplify k into k 1545218162.269 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545218162.269 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545218162.269 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545218162.269 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545218162.270 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.270 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218162.270 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218162.270 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.270 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.270 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.270 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.270 * [misc]taylor: Taking taylor expansion of k in n 1545218162.270 * [misc]backup-simplify: Simplify k into k 1545218162.270 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.270 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.270 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218162.270 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218162.270 * [misc]taylor: Taking taylor expansion of -2 in n 1545218162.270 * [misc]backup-simplify: Simplify -2 into -2 1545218162.270 * [misc]taylor: Taking taylor expansion of n in n 1545218162.270 * [misc]backup-simplify: Simplify 0 into 0 1545218162.270 * [misc]backup-simplify: Simplify 1 into 1 1545218162.270 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218162.270 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218162.271 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.271 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.271 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.271 * [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))) 1545218162.272 * [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)))) 1545218162.272 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218162.272 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545218162.272 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218162.272 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218162.272 * [misc]taylor: Taking taylor expansion of -1 in k 1545218162.272 * [misc]backup-simplify: Simplify -1 into -1 1545218162.272 * [misc]taylor: Taking taylor expansion of k in k 1545218162.272 * [misc]backup-simplify: Simplify 0 into 0 1545218162.272 * [misc]backup-simplify: Simplify 1 into 1 1545218162.272 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218162.273 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.273 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218162.273 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218162.273 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218162.273 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218162.273 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218162.273 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.273 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.273 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.273 * [misc]taylor: Taking taylor expansion of k in k 1545218162.273 * [misc]backup-simplify: Simplify 0 into 0 1545218162.273 * [misc]backup-simplify: Simplify 1 into 1 1545218162.274 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.274 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218162.274 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218162.274 * [misc]taylor: Taking taylor expansion of -2 in k 1545218162.274 * [misc]backup-simplify: Simplify -2 into -2 1545218162.274 * [misc]taylor: Taking taylor expansion of n in k 1545218162.274 * [misc]backup-simplify: Simplify n into n 1545218162.274 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218162.274 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218162.274 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.274 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218162.274 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218162.275 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.275 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545218162.275 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545218162.275 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545218162.275 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545218162.275 * [misc]taylor: Taking taylor expansion of -1 in k 1545218162.275 * [misc]backup-simplify: Simplify -1 into -1 1545218162.275 * [misc]taylor: Taking taylor expansion of k in k 1545218162.275 * [misc]backup-simplify: Simplify 0 into 0 1545218162.275 * [misc]backup-simplify: Simplify 1 into 1 1545218162.275 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545218162.275 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545218162.276 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545218162.276 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545218162.276 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545218162.276 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545218162.276 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545218162.276 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545218162.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.276 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545218162.276 * [misc]taylor: Taking taylor expansion of k in k 1545218162.276 * [misc]backup-simplify: Simplify 0 into 0 1545218162.276 * [misc]backup-simplify: Simplify 1 into 1 1545218162.276 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545218162.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545218162.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.277 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545218162.277 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545218162.277 * [misc]taylor: Taking taylor expansion of -2 in k 1545218162.277 * [misc]backup-simplify: Simplify -2 into -2 1545218162.277 * [misc]taylor: Taking taylor expansion of n in k 1545218162.277 * [misc]backup-simplify: Simplify n into n 1545218162.277 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545218162.277 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545218162.277 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545218162.277 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545218162.277 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545218162.277 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545218162.278 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545218162.278 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218162.278 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.278 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.278 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.278 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218162.278 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218162.278 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.278 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.278 * [misc]taylor: Taking taylor expansion of k in n 1545218162.278 * [misc]backup-simplify: Simplify k into k 1545218162.278 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.278 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218162.278 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218162.278 * [misc]taylor: Taking taylor expansion of -2 in n 1545218162.278 * [misc]backup-simplify: Simplify -2 into -2 1545218162.278 * [misc]taylor: Taking taylor expansion of n in n 1545218162.278 * [misc]backup-simplify: Simplify 0 into 0 1545218162.279 * [misc]backup-simplify: Simplify 1 into 1 1545218162.279 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218162.279 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218162.279 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.279 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.279 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.280 * [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))) 1545218162.280 * [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)))) 1545218162.280 * [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))))) 1545218162.281 * [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))))) 1545218162.281 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545218162.282 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545218162.283 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545218162.283 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.283 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.283 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of k in n 1545218162.283 * [misc]backup-simplify: Simplify k into k 1545218162.283 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.283 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218162.283 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218162.284 * [misc]taylor: Taking taylor expansion of -2 in n 1545218162.284 * [misc]backup-simplify: Simplify -2 into -2 1545218162.284 * [misc]taylor: Taking taylor expansion of n in n 1545218162.284 * [misc]backup-simplify: Simplify 0 into 0 1545218162.284 * [misc]backup-simplify: Simplify 1 into 1 1545218162.284 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218162.284 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218162.284 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.284 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.285 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.285 * [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))) 1545218162.285 * [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)))) 1545218162.286 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218162.286 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218162.286 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545218162.287 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545218162.287 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545218162.290 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545218162.290 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545218162.291 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545218162.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545218162.291 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.291 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545218162.293 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545218162.294 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1545218162.294 * [misc]backup-simplify: Simplify 0 into 0 1545218162.294 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545218162.295 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545218162.296 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545218162.296 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545218162.296 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545218162.296 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545218162.296 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545218162.296 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545218162.296 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545218162.296 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545218162.296 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545218162.296 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545218162.296 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545218162.296 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.296 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545218162.296 * [misc]taylor: Taking taylor expansion of k in n 1545218162.296 * [misc]backup-simplify: Simplify k into k 1545218162.297 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545218162.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545218162.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545218162.297 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545218162.297 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545218162.297 * [misc]taylor: Taking taylor expansion of -2 in n 1545218162.297 * [misc]backup-simplify: Simplify -2 into -2 1545218162.297 * [misc]taylor: Taking taylor expansion of n in n 1545218162.297 * [misc]backup-simplify: Simplify 0 into 0 1545218162.297 * [misc]backup-simplify: Simplify 1 into 1 1545218162.297 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545218162.297 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545218162.297 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545218162.297 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545218162.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545218162.298 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545218162.298 * [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)))) 1545218162.299 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218162.299 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545218162.300 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545218162.300 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545218162.302 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545218162.302 * * * [misc]progress: simplifying candidates 1545218162.302 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1545218162.302 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1545218162.302 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1545218162.302 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1545218162.302 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545218162.302 * * [misc]simplify: iters left: 3 (5 enodes) 1545218162.304 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545218162.304 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218162.304 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1545218162.304 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545218162.304 * * [misc]simplify: iters left: 5 (6 enodes) 1545218162.306 * * [misc]simplify: iters left: 4 (8 enodes) 1545218162.308 * * [misc]simplify: iters left: 3 (11 enodes) 1545218162.311 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545218162.311 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218162.311 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1545218162.311 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545218162.311 * * [misc]simplify: iters left: 5 (6 enodes) 1545218162.313 * * [misc]simplify: iters left: 4 (8 enodes) 1545218162.315 * * [misc]simplify: iters left: 3 (11 enodes) 1545218162.318 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545218162.318 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218162.318 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1545218162.319 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545218162.319 * * [misc]simplify: iters left: 4 (5 enodes) 1545218162.320 * * [misc]simplify: iters left: 3 (7 enodes) 1545218162.322 * * [misc]simplify: iters left: 2 (10 enodes) 1545218162.325 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545218162.325 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218162.325 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1545218162.325 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545218162.325 * * [misc]simplify: iters left: 5 (6 enodes) 1545218162.327 * * [misc]simplify: iters left: 4 (8 enodes) 1545218162.329 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545218162.329 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218162.329 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1545218162.330 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545218162.330 * * [misc]simplify: iters left: 5 (6 enodes) 1545218162.331 * * [misc]simplify: iters left: 4 (8 enodes) 1545218162.334 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545218162.334 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218162.334 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1545218162.334 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1545218162.334 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1545218162.334 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1545218162.334 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1545218162.334 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1545218162.334 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1545218162.334 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1545218162.334 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1545218162.334 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1545218162.335 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545218162.335 * * [misc]simplify: iters left: 6 (9 enodes) 1545218162.338 * * [misc]simplify: iters left: 5 (16 enodes) 1545218162.344 * * [misc]simplify: iters left: 4 (32 enodes) 1545218162.356 * * [misc]simplify: iters left: 3 (72 enodes) 1545218162.394 * * [misc]simplify: iters left: 2 (195 enodes) 1545218162.487 * * [misc]simplify: iters left: 1 (418 enodes) 1545218162.673 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545218162.673 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1545218162.673 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1545218162.674 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1545218162.674 * [enter]simplify: Simplifying (* n 2) 1545218162.674 * * [misc]simplify: iters left: 2 (3 enodes) 1545218162.675 * * [misc]simplify: iters left: 1 (4 enodes) 1545218162.676 * [exit]simplify: Simplified to (* n 2) 1545218162.676 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1545218162.676 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1545218162.676 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545218162.677 * * [misc]simplify: iters left: 3 (6 enodes) 1545218162.678 * * [misc]simplify: iters left: 2 (7 enodes) 1545218162.681 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545218162.681 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1545218162.681 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1545218162.681 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545218162.681 * * [misc]simplify: iters left: 5 (6 enodes) 1545218162.683 * * [misc]simplify: iters left: 4 (8 enodes) 1545218162.685 * * [misc]simplify: iters left: 3 (11 enodes) 1545218162.689 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545218162.689 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1545218162.689 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1545218162.689 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545218162.689 * * [misc]simplify: iters left: 5 (6 enodes) 1545218162.691 * * [misc]simplify: iters left: 4 (8 enodes) 1545218162.693 * * [misc]simplify: iters left: 3 (11 enodes) 1545218162.696 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545218162.696 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1545218162.696 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1545218162.697 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545218162.697 * * [misc]simplify: iters left: 4 (5 enodes) 1545218162.698 * * [misc]simplify: iters left: 3 (7 enodes) 1545218162.700 * * [misc]simplify: iters left: 2 (10 enodes) 1545218162.703 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545218162.703 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1545218162.703 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1545218162.703 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545218162.703 * * [misc]simplify: iters left: 5 (7 enodes) 1545218162.708 * * [misc]simplify: iters left: 4 (10 enodes) 1545218162.711 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545218162.711 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1545218162.711 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1545218162.711 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545218162.711 * * [misc]simplify: iters left: 5 (7 enodes) 1545218162.714 * * [misc]simplify: iters left: 4 (10 enodes) 1545218162.716 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545218162.716 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1545218162.716 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1545218162.717 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545218162.717 * * [misc]simplify: iters left: 5 (7 enodes) 1545218162.719 * * [misc]simplify: iters left: 4 (9 enodes) 1545218162.721 * * [misc]simplify: iters left: 3 (12 enodes) 1545218162.724 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545218162.725 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1545218162.725 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1545218162.725 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1545218162.726 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218162.726 * * [misc]simplify: iters left: 6 (16 enodes) 1545218162.732 * * [misc]simplify: iters left: 5 (31 enodes) 1545218162.743 * * [misc]simplify: iters left: 4 (70 enodes) 1545218162.772 * * [misc]simplify: iters left: 3 (225 enodes) 1545218162.889 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1545218162.889 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1545218162.889 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1545218162.889 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218162.889 * * [misc]simplify: iters left: 6 (16 enodes) 1545218162.892 * * [misc]simplify: iters left: 5 (31 enodes) 1545218162.900 * * [misc]simplify: iters left: 4 (70 enodes) 1545218162.918 * * [misc]simplify: iters left: 3 (225 enodes) 1545218163.042 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1545218163.042 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1545218163.042 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1545218163.042 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218163.042 * * [misc]simplify: iters left: 6 (16 enodes) 1545218163.045 * * [misc]simplify: iters left: 5 (29 enodes) 1545218163.050 * * [misc]simplify: iters left: 4 (58 enodes) 1545218163.063 * * [misc]simplify: iters left: 3 (142 enodes) 1545218163.149 * * [misc]simplify: iters left: 2 (491 enodes) 1545218163.469 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))) 1545218163.469 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))))) 1545218163.469 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1545218163.469 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218163.469 * * [misc]simplify: iters left: 6 (15 enodes) 1545218163.473 * * [misc]simplify: iters left: 5 (25 enodes) 1545218163.480 * * [misc]simplify: iters left: 4 (42 enodes) 1545218163.493 * * [misc]simplify: iters left: 3 (87 enodes) 1545218163.519 * * [misc]simplify: iters left: 2 (190 enodes) 1545218163.648 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1545218163.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1545218163.648 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1545218163.648 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218163.648 * * [misc]simplify: iters left: 6 (16 enodes) 1545218163.651 * * [misc]simplify: iters left: 5 (31 enodes) 1545218163.656 * * [misc]simplify: iters left: 4 (64 enodes) 1545218163.673 * * [misc]simplify: iters left: 3 (197 enodes) 1545218163.776 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1545218163.776 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1545218163.777 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1545218163.777 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545218163.777 * * [misc]simplify: iters left: 6 (16 enodes) 1545218163.780 * * [misc]simplify: iters left: 5 (31 enodes) 1545218163.785 * * [misc]simplify: iters left: 4 (64 enodes) 1545218163.804 * * [misc]simplify: iters left: 3 (197 enodes) 1545218164.290 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1545218164.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1545218164.290 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1545218164.290 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218164.291 * * [misc]simplify: iters left: 6 (16 enodes) 1545218164.295 * * [misc]simplify: iters left: 5 (29 enodes) 1545218164.305 * * [misc]simplify: iters left: 4 (52 enodes) 1545218164.318 * * [misc]simplify: iters left: 3 (114 enodes) 1545218164.378 * * [misc]simplify: iters left: 2 (450 enodes) 1545218164.634 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1545218164.634 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1545218164.634 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1545218164.634 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218164.634 * * [misc]simplify: iters left: 6 (15 enodes) 1545218164.638 * * [misc]simplify: iters left: 5 (25 enodes) 1545218164.645 * * [misc]simplify: iters left: 4 (37 enodes) 1545218164.656 * * [misc]simplify: iters left: 3 (63 enodes) 1545218164.675 * * [misc]simplify: iters left: 2 (161 enodes) 1545218164.734 * * [misc]simplify: iters left: 1 (499 enodes) 1545218165.135 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1545218165.135 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1545218165.135 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1545218165.135 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1545218165.135 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1545218165.136 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.136 * * [misc]simplify: iters left: 6 (19 enodes) 1545218165.143 * * [misc]simplify: iters left: 5 (36 enodes) 1545218165.156 * * [misc]simplify: iters left: 4 (112 enodes) 1545218165.223 * * [misc]simplify: iters left: 3 (434 enodes) 1545218165.620 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545218165.620 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545218165.621 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1545218165.621 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.621 * * [misc]simplify: iters left: 6 (17 enodes) 1545218165.627 * * [misc]simplify: iters left: 5 (35 enodes) 1545218165.633 * * [misc]simplify: iters left: 4 (92 enodes) 1545218165.668 * * [misc]simplify: iters left: 3 (254 enodes) 1545218165.854 * [exit]simplify: Simplified to (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218165.855 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1545218165.855 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1545218165.855 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1545218165.855 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1545218165.855 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1545218165.856 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218165.856 * * [misc]simplify: iters left: 6 (15 enodes) 1545218165.860 * * [misc]simplify: iters left: 5 (21 enodes) 1545218165.866 * * [misc]simplify: iters left: 4 (24 enodes) 1545218165.873 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.873 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218165.874 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.874 * * [misc]simplify: iters left: 6 (15 enodes) 1545218165.878 * * [misc]simplify: iters left: 5 (19 enodes) 1545218165.884 * * [misc]simplify: iters left: 4 (20 enodes) 1545218165.890 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.890 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218165.890 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1545218165.890 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.890 * * [misc]simplify: iters left: 6 (14 enodes) 1545218165.894 * * [misc]simplify: iters left: 5 (18 enodes) 1545218165.900 * * [misc]simplify: iters left: 4 (21 enodes) 1545218165.905 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.905 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218165.906 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.906 * * [misc]simplify: iters left: 6 (15 enodes) 1545218165.910 * * [misc]simplify: iters left: 5 (19 enodes) 1545218165.916 * * [misc]simplify: iters left: 4 (20 enodes) 1545218165.921 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218165.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218165.922 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1545218165.922 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218165.922 * * [misc]simplify: iters left: 6 (13 enodes) 1545218165.926 * * [misc]simplify: iters left: 5 (20 enodes) 1545218165.932 * * [misc]simplify: iters left: 4 (27 enodes) 1545218165.937 * * [misc]simplify: iters left: 3 (39 enodes) 1545218165.944 * * [misc]simplify: iters left: 2 (44 enodes) 1545218165.949 * * [misc]simplify: iters left: 1 (51 enodes) 1545218165.956 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1545218165.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218165.956 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218165.956 * * [misc]simplify: iters left: 6 (13 enodes) 1545218165.958 * * [misc]simplify: iters left: 5 (18 enodes) 1545218165.960 * * [misc]simplify: iters left: 4 (21 enodes) 1545218165.963 * * [misc]simplify: iters left: 3 (23 enodes) 1545218165.966 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545218165.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545218165.966 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1545218165.966 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218165.967 * * [misc]simplify: iters left: 6 (13 enodes) 1545218165.970 * * [misc]simplify: iters left: 5 (20 enodes) 1545218165.975 * * [misc]simplify: iters left: 4 (27 enodes) 1545218165.983 * * [misc]simplify: iters left: 3 (39 enodes) 1545218165.993 * * [misc]simplify: iters left: 2 (44 enodes) 1545218166.004 * * [misc]simplify: iters left: 1 (51 enodes) 1545218166.017 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1545218166.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218166.018 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218166.018 * * [misc]simplify: iters left: 6 (13 enodes) 1545218166.022 * * [misc]simplify: iters left: 5 (18 enodes) 1545218166.027 * * [misc]simplify: iters left: 4 (21 enodes) 1545218166.033 * * [misc]simplify: iters left: 3 (23 enodes) 1545218166.039 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545218166.039 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545218166.039 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1545218166.040 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218166.040 * * [misc]simplify: iters left: 6 (14 enodes) 1545218166.044 * * [misc]simplify: iters left: 5 (21 enodes) 1545218166.049 * * [misc]simplify: iters left: 4 (31 enodes) 1545218166.059 * * [misc]simplify: iters left: 3 (43 enodes) 1545218166.068 * * [misc]simplify: iters left: 2 (48 enodes) 1545218166.074 * * [misc]simplify: iters left: 1 (55 enodes) 1545218166.081 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1545218166.082 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218166.082 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218166.082 * * [misc]simplify: iters left: 6 (13 enodes) 1545218166.084 * * [misc]simplify: iters left: 5 (18 enodes) 1545218166.086 * * [misc]simplify: iters left: 4 (22 enodes) 1545218166.089 * * [misc]simplify: iters left: 3 (24 enodes) 1545218166.092 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545218166.092 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545218166.092 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1545218166.092 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.093 * * [misc]simplify: iters left: 6 (17 enodes) 1545218166.095 * * [misc]simplify: iters left: 5 (29 enodes) 1545218166.104 * * [misc]simplify: iters left: 4 (50 enodes) 1545218166.119 * * [misc]simplify: iters left: 3 (73 enodes) 1545218166.142 * * [misc]simplify: iters left: 2 (103 enodes) 1545218166.167 * * [misc]simplify: iters left: 1 (127 enodes) 1545218166.188 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545218166.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218166.189 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218166.189 * * [misc]simplify: iters left: 6 (16 enodes) 1545218166.193 * * [misc]simplify: iters left: 5 (22 enodes) 1545218166.200 * * [misc]simplify: iters left: 4 (26 enodes) 1545218166.207 * * [misc]simplify: iters left: 3 (28 enodes) 1545218166.215 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218166.215 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218166.215 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1545218166.215 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218166.215 * * [misc]simplify: iters left: 6 (16 enodes) 1545218166.220 * * [misc]simplify: iters left: 5 (24 enodes) 1545218166.227 * * [misc]simplify: iters left: 4 (34 enodes) 1545218166.237 * * [misc]simplify: iters left: 3 (46 enodes) 1545218166.249 * * [misc]simplify: iters left: 2 (51 enodes) 1545218166.256 * * [misc]simplify: iters left: 1 (58 enodes) 1545218166.264 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1545218166.264 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218166.264 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218166.264 * * [misc]simplify: iters left: 6 (16 enodes) 1545218166.268 * * [misc]simplify: iters left: 5 (22 enodes) 1545218166.271 * * [misc]simplify: iters left: 4 (26 enodes) 1545218166.274 * * [misc]simplify: iters left: 3 (28 enodes) 1545218166.278 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218166.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218166.278 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1545218166.278 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218166.278 * * [misc]simplify: iters left: 6 (10 enodes) 1545218166.280 * * [misc]simplify: iters left: 5 (17 enodes) 1545218166.286 * * [misc]simplify: iters left: 4 (28 enodes) 1545218166.293 * * [misc]simplify: iters left: 3 (33 enodes) 1545218166.300 * * [misc]simplify: iters left: 2 (50 enodes) 1545218166.315 * * [misc]simplify: iters left: 1 (65 enodes) 1545218166.324 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545218166.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.324 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218166.324 * * [misc]simplify: iters left: 6 (15 enodes) 1545218166.326 * * [misc]simplify: iters left: 5 (21 enodes) 1545218166.329 * * [misc]simplify: iters left: 4 (25 enodes) 1545218166.332 * * [misc]simplify: iters left: 3 (27 enodes) 1545218166.336 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1545218166.336 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1545218166.336 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1545218166.336 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218166.336 * * [misc]simplify: iters left: 6 (12 enodes) 1545218166.338 * * [misc]simplify: iters left: 5 (17 enodes) 1545218166.340 * * [misc]simplify: iters left: 4 (20 enodes) 1545218166.343 * * [misc]simplify: iters left: 3 (22 enodes) 1545218166.349 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1545218166.349 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218166.350 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218166.350 * * [misc]simplify: iters left: 6 (13 enodes) 1545218166.354 * * [misc]simplify: iters left: 5 (18 enodes) 1545218166.359 * * [misc]simplify: iters left: 4 (21 enodes) 1545218166.364 * * [misc]simplify: iters left: 3 (23 enodes) 1545218166.370 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545218166.371 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545218166.371 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1545218166.371 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218166.371 * * [misc]simplify: iters left: 6 (12 enodes) 1545218166.376 * * [misc]simplify: iters left: 5 (17 enodes) 1545218166.380 * * [misc]simplify: iters left: 4 (20 enodes) 1545218166.385 * * [misc]simplify: iters left: 3 (22 enodes) 1545218166.391 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1545218166.391 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218166.391 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218166.391 * * [misc]simplify: iters left: 6 (13 enodes) 1545218166.395 * * [misc]simplify: iters left: 5 (18 enodes) 1545218166.400 * * [misc]simplify: iters left: 4 (21 enodes) 1545218166.402 * * [misc]simplify: iters left: 3 (23 enodes) 1545218166.405 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545218166.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545218166.406 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1545218166.406 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218166.406 * * [misc]simplify: iters left: 6 (13 enodes) 1545218166.408 * * [misc]simplify: iters left: 5 (18 enodes) 1545218166.410 * * [misc]simplify: iters left: 4 (24 enodes) 1545218166.413 * * [misc]simplify: iters left: 3 (26 enodes) 1545218166.416 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545218166.416 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218166.416 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218166.417 * * [misc]simplify: iters left: 6 (13 enodes) 1545218166.418 * * [misc]simplify: iters left: 5 (18 enodes) 1545218166.421 * * [misc]simplify: iters left: 4 (22 enodes) 1545218166.424 * * [misc]simplify: iters left: 3 (24 enodes) 1545218166.427 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545218166.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545218166.427 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1545218166.427 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.427 * * [misc]simplify: iters left: 6 (16 enodes) 1545218166.432 * * [misc]simplify: iters left: 5 (24 enodes) 1545218166.439 * * [misc]simplify: iters left: 4 (32 enodes) 1545218166.448 * * [misc]simplify: iters left: 3 (41 enodes) 1545218166.459 * * [misc]simplify: iters left: 2 (49 enodes) 1545218166.470 * * [misc]simplify: iters left: 1 (51 enodes) 1545218166.483 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218166.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218166.484 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218166.484 * * [misc]simplify: iters left: 6 (16 enodes) 1545218166.490 * * [misc]simplify: iters left: 5 (22 enodes) 1545218166.496 * * [misc]simplify: iters left: 4 (26 enodes) 1545218166.503 * * [misc]simplify: iters left: 3 (28 enodes) 1545218166.510 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218166.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218166.510 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1545218166.510 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218166.511 * * [misc]simplify: iters left: 6 (15 enodes) 1545218166.515 * * [misc]simplify: iters left: 5 (21 enodes) 1545218166.521 * * [misc]simplify: iters left: 4 (27 enodes) 1545218166.528 * * [misc]simplify: iters left: 3 (29 enodes) 1545218166.535 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1545218166.535 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218166.536 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218166.536 * * [misc]simplify: iters left: 6 (16 enodes) 1545218166.541 * * [misc]simplify: iters left: 5 (22 enodes) 1545218166.547 * * [misc]simplify: iters left: 4 (26 enodes) 1545218166.554 * * [misc]simplify: iters left: 3 (28 enodes) 1545218166.561 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218166.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218166.562 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1545218166.562 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1545218166.562 * * [misc]simplify: iters left: 6 (9 enodes) 1545218166.565 * * [misc]simplify: iters left: 5 (14 enodes) 1545218166.569 * * [misc]simplify: iters left: 4 (21 enodes) 1545218166.574 * * [misc]simplify: iters left: 3 (23 enodes) 1545218166.579 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1545218166.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.579 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218166.579 * * [misc]simplify: iters left: 6 (15 enodes) 1545218166.583 * * [misc]simplify: iters left: 5 (21 enodes) 1545218166.589 * * [misc]simplify: iters left: 4 (25 enodes) 1545218166.596 * * [misc]simplify: iters left: 3 (27 enodes) 1545218166.603 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1545218166.603 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1545218166.603 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1545218166.604 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1545218166.604 * * [misc]simplify: iters left: 6 (10 enodes) 1545218166.607 * * [misc]simplify: iters left: 5 (17 enodes) 1545218166.611 * * [misc]simplify: iters left: 4 (19 enodes) 1545218166.617 * * [misc]simplify: iters left: 3 (28 enodes) 1545218166.623 * * [misc]simplify: iters left: 2 (31 enodes) 1545218166.630 * * [misc]simplify: iters left: 1 (33 enodes) 1545218166.637 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545218166.637 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218166.637 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218166.639 * * [misc]simplify: iters left: 6 (12 enodes) 1545218166.642 * * [misc]simplify: iters left: 5 (17 enodes) 1545218166.647 * * [misc]simplify: iters left: 4 (20 enodes) 1545218166.653 * * [misc]simplify: iters left: 3 (22 enodes) 1545218166.659 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218166.659 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218166.659 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1545218166.659 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1545218166.659 * * [misc]simplify: iters left: 6 (10 enodes) 1545218166.662 * * [misc]simplify: iters left: 5 (17 enodes) 1545218166.666 * * [misc]simplify: iters left: 4 (19 enodes) 1545218166.672 * * [misc]simplify: iters left: 3 (28 enodes) 1545218166.679 * * [misc]simplify: iters left: 2 (31 enodes) 1545218166.686 * * [misc]simplify: iters left: 1 (33 enodes) 1545218166.693 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545218166.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218166.693 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218166.693 * * [misc]simplify: iters left: 6 (12 enodes) 1545218166.696 * * [misc]simplify: iters left: 5 (17 enodes) 1545218166.698 * * [misc]simplify: iters left: 4 (20 enodes) 1545218166.701 * * [misc]simplify: iters left: 3 (22 enodes) 1545218166.704 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218166.704 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218166.704 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1545218166.704 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218166.704 * * [misc]simplify: iters left: 6 (12 enodes) 1545218166.706 * * [misc]simplify: iters left: 5 (19 enodes) 1545218166.708 * * [misc]simplify: iters left: 4 (24 enodes) 1545218166.712 * * [misc]simplify: iters left: 3 (33 enodes) 1545218166.716 * * [misc]simplify: iters left: 2 (36 enodes) 1545218166.720 * * [misc]simplify: iters left: 1 (39 enodes) 1545218166.725 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1545218166.725 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218166.725 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218166.725 * * [misc]simplify: iters left: 6 (12 enodes) 1545218166.727 * * [misc]simplify: iters left: 5 (17 enodes) 1545218166.729 * * [misc]simplify: iters left: 4 (21 enodes) 1545218166.733 * * [misc]simplify: iters left: 3 (23 enodes) 1545218166.739 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218166.739 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545218166.739 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1545218166.739 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.739 * * [misc]simplify: iters left: 6 (15 enodes) 1545218166.744 * * [misc]simplify: iters left: 5 (25 enodes) 1545218166.753 * * [misc]simplify: iters left: 4 (32 enodes) 1545218166.763 * * [misc]simplify: iters left: 3 (47 enodes) 1545218166.776 * * [misc]simplify: iters left: 2 (62 enodes) 1545218166.793 * * [misc]simplify: iters left: 1 (76 enodes) 1545218166.808 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1545218166.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218166.808 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218166.808 * * [misc]simplify: iters left: 6 (15 enodes) 1545218166.811 * * [misc]simplify: iters left: 5 (21 enodes) 1545218166.814 * * [misc]simplify: iters left: 4 (25 enodes) 1545218166.817 * * [misc]simplify: iters left: 3 (27 enodes) 1545218166.820 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1545218166.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1545218166.821 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1545218166.821 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218166.821 * * [misc]simplify: iters left: 6 (14 enodes) 1545218166.823 * * [misc]simplify: iters left: 5 (22 enodes) 1545218166.826 * * [misc]simplify: iters left: 4 (27 enodes) 1545218166.830 * * [misc]simplify: iters left: 3 (36 enodes) 1545218166.834 * * [misc]simplify: iters left: 2 (39 enodes) 1545218166.841 * * [misc]simplify: iters left: 1 (42 enodes) 1545218166.852 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1545218166.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218166.852 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218166.852 * * [misc]simplify: iters left: 6 (15 enodes) 1545218166.857 * * [misc]simplify: iters left: 5 (21 enodes) 1545218166.864 * * [misc]simplify: iters left: 4 (25 enodes) 1545218166.871 * * [misc]simplify: iters left: 3 (27 enodes) 1545218166.879 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1545218166.880 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1545218166.880 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1545218166.880 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1545218166.880 * * [misc]simplify: iters left: 4 (6 enodes) 1545218166.882 * * [misc]simplify: iters left: 3 (9 enodes) 1545218166.885 * [exit]simplify: Simplified to (sqrt PI) 1545218166.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.885 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218166.885 * * [misc]simplify: iters left: 6 (14 enodes) 1545218166.889 * * [misc]simplify: iters left: 5 (20 enodes) 1545218166.895 * * [misc]simplify: iters left: 4 (24 enodes) 1545218166.902 * * [misc]simplify: iters left: 3 (26 enodes) 1545218166.908 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218166.909 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.909 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1545218166.909 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1545218166.909 * * [misc]simplify: iters left: 3 (5 enodes) 1545218166.911 * * [misc]simplify: iters left: 2 (8 enodes) 1545218166.913 * * [misc]simplify: iters left: 1 (10 enodes) 1545218166.915 * [exit]simplify: Simplified to (sqrt PI) 1545218166.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.916 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218166.916 * * [misc]simplify: iters left: 6 (14 enodes) 1545218166.920 * * [misc]simplify: iters left: 5 (20 enodes) 1545218166.926 * * [misc]simplify: iters left: 4 (24 enodes) 1545218166.932 * * [misc]simplify: iters left: 3 (26 enodes) 1545218166.939 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218166.939 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.939 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1545218166.939 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1545218166.939 * * [misc]simplify: iters left: 3 (6 enodes) 1545218166.941 * * [misc]simplify: iters left: 2 (7 enodes) 1545218166.943 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1545218166.943 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218166.943 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218166.943 * * [misc]simplify: iters left: 6 (14 enodes) 1545218166.948 * * [misc]simplify: iters left: 5 (22 enodes) 1545218166.953 * * [misc]simplify: iters left: 4 (26 enodes) 1545218166.961 * * [misc]simplify: iters left: 3 (36 enodes) 1545218166.970 * * [misc]simplify: iters left: 2 (38 enodes) 1545218166.977 * * [misc]simplify: iters left: 1 (43 enodes) 1545218166.987 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1545218166.987 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1545218166.987 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1545218166.987 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1545218166.987 * * [misc]simplify: iters left: 6 (11 enodes) 1545218166.990 * * [misc]simplify: iters left: 5 (16 enodes) 1545218166.995 * * [misc]simplify: iters left: 4 (19 enodes) 1545218166.999 * * [misc]simplify: iters left: 3 (21 enodes) 1545218167.005 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1545218167.005 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1545218167.005 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1545218167.005 * * [misc]simplify: iters left: 6 (10 enodes) 1545218167.008 * * [misc]simplify: iters left: 5 (13 enodes) 1545218167.012 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1545218167.012 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1545218167.012 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1545218167.012 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218167.012 * * [misc]simplify: iters left: 6 (15 enodes) 1545218167.018 * * [misc]simplify: iters left: 5 (21 enodes) 1545218167.024 * * [misc]simplify: iters left: 4 (24 enodes) 1545218167.031 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.031 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218167.031 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.032 * * [misc]simplify: iters left: 6 (15 enodes) 1545218167.036 * * [misc]simplify: iters left: 5 (19 enodes) 1545218167.041 * * [misc]simplify: iters left: 4 (20 enodes) 1545218167.047 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218167.047 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1545218167.047 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.047 * * [misc]simplify: iters left: 6 (14 enodes) 1545218167.051 * * [misc]simplify: iters left: 5 (18 enodes) 1545218167.056 * * [misc]simplify: iters left: 4 (21 enodes) 1545218167.058 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.059 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218167.059 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.059 * * [misc]simplify: iters left: 6 (15 enodes) 1545218167.061 * * [misc]simplify: iters left: 5 (19 enodes) 1545218167.063 * * [misc]simplify: iters left: 4 (20 enodes) 1545218167.066 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218167.066 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1545218167.066 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218167.066 * * [misc]simplify: iters left: 6 (13 enodes) 1545218167.068 * * [misc]simplify: iters left: 5 (20 enodes) 1545218167.071 * * [misc]simplify: iters left: 4 (27 enodes) 1545218167.075 * * [misc]simplify: iters left: 3 (39 enodes) 1545218167.080 * * [misc]simplify: iters left: 2 (44 enodes) 1545218167.085 * * [misc]simplify: iters left: 1 (51 enodes) 1545218167.095 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1545218167.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218167.096 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218167.096 * * [misc]simplify: iters left: 6 (13 enodes) 1545218167.100 * * [misc]simplify: iters left: 5 (18 enodes) 1545218167.105 * * [misc]simplify: iters left: 4 (21 enodes) 1545218167.110 * * [misc]simplify: iters left: 3 (23 enodes) 1545218167.116 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545218167.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545218167.117 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1545218167.117 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218167.117 * * [misc]simplify: iters left: 6 (13 enodes) 1545218167.121 * * [misc]simplify: iters left: 5 (20 enodes) 1545218167.128 * * [misc]simplify: iters left: 4 (27 enodes) 1545218167.135 * * [misc]simplify: iters left: 3 (39 enodes) 1545218167.146 * * [misc]simplify: iters left: 2 (44 enodes) 1545218167.156 * * [misc]simplify: iters left: 1 (51 enodes) 1545218167.169 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1545218167.169 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218167.170 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218167.170 * * [misc]simplify: iters left: 6 (13 enodes) 1545218167.174 * * [misc]simplify: iters left: 5 (18 enodes) 1545218167.178 * * [misc]simplify: iters left: 4 (21 enodes) 1545218167.184 * * [misc]simplify: iters left: 3 (23 enodes) 1545218167.190 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545218167.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545218167.190 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1545218167.190 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218167.191 * * [misc]simplify: iters left: 6 (14 enodes) 1545218167.195 * * [misc]simplify: iters left: 5 (21 enodes) 1545218167.201 * * [misc]simplify: iters left: 4 (31 enodes) 1545218167.210 * * [misc]simplify: iters left: 3 (43 enodes) 1545218167.222 * * [misc]simplify: iters left: 2 (48 enodes) 1545218167.233 * * [misc]simplify: iters left: 1 (55 enodes) 1545218167.248 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1545218167.248 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218167.248 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218167.248 * * [misc]simplify: iters left: 6 (13 enodes) 1545218167.252 * * [misc]simplify: iters left: 5 (18 enodes) 1545218167.257 * * [misc]simplify: iters left: 4 (22 enodes) 1545218167.263 * * [misc]simplify: iters left: 3 (24 enodes) 1545218167.269 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545218167.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545218167.269 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1545218167.270 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218167.270 * * [misc]simplify: iters left: 6 (17 enodes) 1545218167.276 * * [misc]simplify: iters left: 5 (29 enodes) 1545218167.284 * * [misc]simplify: iters left: 4 (50 enodes) 1545218167.292 * * [misc]simplify: iters left: 3 (73 enodes) 1545218167.303 * * [misc]simplify: iters left: 2 (103 enodes) 1545218167.325 * * [misc]simplify: iters left: 1 (127 enodes) 1545218167.359 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545218167.359 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218167.359 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.359 * * [misc]simplify: iters left: 6 (16 enodes) 1545218167.361 * * [misc]simplify: iters left: 5 (22 enodes) 1545218167.365 * * [misc]simplify: iters left: 4 (26 enodes) 1545218167.368 * * [misc]simplify: iters left: 3 (28 enodes) 1545218167.372 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218167.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218167.372 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1545218167.372 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.372 * * [misc]simplify: iters left: 6 (16 enodes) 1545218167.375 * * [misc]simplify: iters left: 5 (24 enodes) 1545218167.378 * * [misc]simplify: iters left: 4 (34 enodes) 1545218167.383 * * [misc]simplify: iters left: 3 (46 enodes) 1545218167.395 * * [misc]simplify: iters left: 2 (51 enodes) 1545218167.407 * * [misc]simplify: iters left: 1 (58 enodes) 1545218167.422 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1545218167.422 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218167.422 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.422 * * [misc]simplify: iters left: 6 (16 enodes) 1545218167.427 * * [misc]simplify: iters left: 5 (22 enodes) 1545218167.434 * * [misc]simplify: iters left: 4 (26 enodes) 1545218167.440 * * [misc]simplify: iters left: 3 (28 enodes) 1545218167.444 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218167.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218167.444 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1545218167.444 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218167.444 * * [misc]simplify: iters left: 6 (10 enodes) 1545218167.446 * * [misc]simplify: iters left: 5 (17 enodes) 1545218167.449 * * [misc]simplify: iters left: 4 (28 enodes) 1545218167.452 * * [misc]simplify: iters left: 3 (33 enodes) 1545218167.456 * * [misc]simplify: iters left: 2 (50 enodes) 1545218167.463 * * [misc]simplify: iters left: 1 (65 enodes) 1545218167.477 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545218167.477 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218167.477 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218167.478 * * [misc]simplify: iters left: 6 (15 enodes) 1545218167.482 * * [misc]simplify: iters left: 5 (21 enodes) 1545218167.488 * * [misc]simplify: iters left: 4 (25 enodes) 1545218167.494 * * [misc]simplify: iters left: 3 (27 enodes) 1545218167.501 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1545218167.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1545218167.502 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1545218167.502 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218167.502 * * [misc]simplify: iters left: 6 (12 enodes) 1545218167.505 * * [misc]simplify: iters left: 5 (17 enodes) 1545218167.510 * * [misc]simplify: iters left: 4 (20 enodes) 1545218167.515 * * [misc]simplify: iters left: 3 (22 enodes) 1545218167.521 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1545218167.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218167.521 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218167.521 * * [misc]simplify: iters left: 6 (13 enodes) 1545218167.525 * * [misc]simplify: iters left: 5 (18 enodes) 1545218167.530 * * [misc]simplify: iters left: 4 (21 enodes) 1545218167.536 * * [misc]simplify: iters left: 3 (23 enodes) 1545218167.542 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545218167.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545218167.542 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1545218167.542 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218167.542 * * [misc]simplify: iters left: 6 (12 enodes) 1545218167.546 * * [misc]simplify: iters left: 5 (17 enodes) 1545218167.550 * * [misc]simplify: iters left: 4 (20 enodes) 1545218167.555 * * [misc]simplify: iters left: 3 (22 enodes) 1545218167.561 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1545218167.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218167.561 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218167.561 * * [misc]simplify: iters left: 6 (13 enodes) 1545218167.565 * * [misc]simplify: iters left: 5 (18 enodes) 1545218167.570 * * [misc]simplify: iters left: 4 (21 enodes) 1545218167.576 * * [misc]simplify: iters left: 3 (23 enodes) 1545218167.582 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545218167.583 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545218167.583 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1545218167.583 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218167.583 * * [misc]simplify: iters left: 6 (13 enodes) 1545218167.587 * * [misc]simplify: iters left: 5 (18 enodes) 1545218167.592 * * [misc]simplify: iters left: 4 (24 enodes) 1545218167.599 * * [misc]simplify: iters left: 3 (26 enodes) 1545218167.605 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545218167.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218167.605 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218167.606 * * [misc]simplify: iters left: 6 (13 enodes) 1545218167.610 * * [misc]simplify: iters left: 5 (18 enodes) 1545218167.615 * * [misc]simplify: iters left: 4 (22 enodes) 1545218167.621 * * [misc]simplify: iters left: 3 (24 enodes) 1545218167.628 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545218167.628 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545218167.628 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1545218167.628 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218167.629 * * [misc]simplify: iters left: 6 (16 enodes) 1545218167.633 * * [misc]simplify: iters left: 5 (24 enodes) 1545218167.640 * * [misc]simplify: iters left: 4 (32 enodes) 1545218167.650 * * [misc]simplify: iters left: 3 (41 enodes) 1545218167.661 * * [misc]simplify: iters left: 2 (49 enodes) 1545218167.673 * * [misc]simplify: iters left: 1 (51 enodes) 1545218167.687 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218167.687 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218167.687 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.688 * * [misc]simplify: iters left: 6 (16 enodes) 1545218167.692 * * [misc]simplify: iters left: 5 (22 enodes) 1545218167.698 * * [misc]simplify: iters left: 4 (26 enodes) 1545218167.705 * * [misc]simplify: iters left: 3 (28 enodes) 1545218167.713 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218167.713 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218167.713 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1545218167.713 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.713 * * [misc]simplify: iters left: 6 (15 enodes) 1545218167.718 * * [misc]simplify: iters left: 5 (21 enodes) 1545218167.723 * * [misc]simplify: iters left: 4 (27 enodes) 1545218167.731 * * [misc]simplify: iters left: 3 (29 enodes) 1545218167.738 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1545218167.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218167.739 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.739 * * [misc]simplify: iters left: 6 (16 enodes) 1545218167.743 * * [misc]simplify: iters left: 5 (22 enodes) 1545218167.749 * * [misc]simplify: iters left: 4 (26 enodes) 1545218167.757 * * [misc]simplify: iters left: 3 (28 enodes) 1545218167.765 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218167.765 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218167.765 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1545218167.765 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1545218167.765 * * [misc]simplify: iters left: 6 (9 enodes) 1545218167.768 * * [misc]simplify: iters left: 5 (14 enodes) 1545218167.772 * * [misc]simplify: iters left: 4 (21 enodes) 1545218167.777 * * [misc]simplify: iters left: 3 (23 enodes) 1545218167.781 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1545218167.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218167.782 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218167.782 * * [misc]simplify: iters left: 6 (15 enodes) 1545218167.786 * * [misc]simplify: iters left: 5 (21 enodes) 1545218167.792 * * [misc]simplify: iters left: 4 (25 enodes) 1545218167.799 * * [misc]simplify: iters left: 3 (27 enodes) 1545218167.806 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1545218167.806 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1545218167.806 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1545218167.806 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1545218167.806 * * [misc]simplify: iters left: 6 (10 enodes) 1545218167.809 * * [misc]simplify: iters left: 5 (17 enodes) 1545218167.814 * * [misc]simplify: iters left: 4 (19 enodes) 1545218167.820 * * [misc]simplify: iters left: 3 (28 enodes) 1545218167.826 * * [misc]simplify: iters left: 2 (31 enodes) 1545218167.833 * * [misc]simplify: iters left: 1 (33 enodes) 1545218167.841 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545218167.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218167.841 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218167.841 * * [misc]simplify: iters left: 6 (12 enodes) 1545218167.845 * * [misc]simplify: iters left: 5 (17 enodes) 1545218167.849 * * [misc]simplify: iters left: 4 (20 enodes) 1545218167.854 * * [misc]simplify: iters left: 3 (22 enodes) 1545218167.860 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218167.860 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218167.860 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1545218167.860 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1545218167.860 * * [misc]simplify: iters left: 6 (10 enodes) 1545218167.863 * * [misc]simplify: iters left: 5 (17 enodes) 1545218167.867 * * [misc]simplify: iters left: 4 (19 enodes) 1545218167.873 * * [misc]simplify: iters left: 3 (28 enodes) 1545218167.879 * * [misc]simplify: iters left: 2 (31 enodes) 1545218167.885 * * [misc]simplify: iters left: 1 (33 enodes) 1545218167.892 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545218167.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218167.892 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218167.892 * * [misc]simplify: iters left: 6 (12 enodes) 1545218167.894 * * [misc]simplify: iters left: 5 (17 enodes) 1545218167.896 * * [misc]simplify: iters left: 4 (20 enodes) 1545218167.900 * * [misc]simplify: iters left: 3 (22 enodes) 1545218167.903 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218167.903 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218167.903 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1545218167.903 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218167.903 * * [misc]simplify: iters left: 6 (12 enodes) 1545218167.905 * * [misc]simplify: iters left: 5 (19 enodes) 1545218167.908 * * [misc]simplify: iters left: 4 (24 enodes) 1545218167.912 * * [misc]simplify: iters left: 3 (33 enodes) 1545218167.915 * * [misc]simplify: iters left: 2 (36 enodes) 1545218167.919 * * [misc]simplify: iters left: 1 (39 enodes) 1545218167.929 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1545218167.929 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218167.929 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218167.929 * * [misc]simplify: iters left: 6 (12 enodes) 1545218167.933 * * [misc]simplify: iters left: 5 (17 enodes) 1545218167.937 * * [misc]simplify: iters left: 4 (21 enodes) 1545218167.943 * * [misc]simplify: iters left: 3 (23 enodes) 1545218167.949 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218167.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545218167.949 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1545218167.949 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218167.950 * * [misc]simplify: iters left: 6 (15 enodes) 1545218167.954 * * [misc]simplify: iters left: 5 (25 enodes) 1545218167.958 * * [misc]simplify: iters left: 4 (32 enodes) 1545218167.963 * * [misc]simplify: iters left: 3 (47 enodes) 1545218167.969 * * [misc]simplify: iters left: 2 (62 enodes) 1545218167.978 * * [misc]simplify: iters left: 1 (76 enodes) 1545218167.990 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1545218167.990 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218167.990 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218167.991 * * [misc]simplify: iters left: 6 (15 enodes) 1545218167.993 * * [misc]simplify: iters left: 5 (21 enodes) 1545218167.995 * * [misc]simplify: iters left: 4 (25 enodes) 1545218167.999 * * [misc]simplify: iters left: 3 (27 enodes) 1545218168.002 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1545218168.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1545218168.002 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1545218168.002 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218168.003 * * [misc]simplify: iters left: 6 (14 enodes) 1545218168.005 * * [misc]simplify: iters left: 5 (22 enodes) 1545218168.010 * * [misc]simplify: iters left: 4 (27 enodes) 1545218168.018 * * [misc]simplify: iters left: 3 (36 enodes) 1545218168.027 * * [misc]simplify: iters left: 2 (39 enodes) 1545218168.036 * * [misc]simplify: iters left: 1 (42 enodes) 1545218168.041 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1545218168.041 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218168.041 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218168.041 * * [misc]simplify: iters left: 6 (15 enodes) 1545218168.043 * * [misc]simplify: iters left: 5 (21 enodes) 1545218168.046 * * [misc]simplify: iters left: 4 (25 enodes) 1545218168.049 * * [misc]simplify: iters left: 3 (27 enodes) 1545218168.053 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1545218168.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1545218168.053 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1545218168.053 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1545218168.053 * * [misc]simplify: iters left: 4 (6 enodes) 1545218168.054 * * [misc]simplify: iters left: 3 (9 enodes) 1545218168.055 * [exit]simplify: Simplified to (sqrt PI) 1545218168.055 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218168.055 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218168.055 * * [misc]simplify: iters left: 6 (14 enodes) 1545218168.057 * * [misc]simplify: iters left: 5 (20 enodes) 1545218168.060 * * [misc]simplify: iters left: 4 (24 enodes) 1545218168.063 * * [misc]simplify: iters left: 3 (26 enodes) 1545218168.067 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218168.067 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218168.067 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1545218168.067 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1545218168.067 * * [misc]simplify: iters left: 3 (5 enodes) 1545218168.069 * * [misc]simplify: iters left: 2 (8 enodes) 1545218168.071 * * [misc]simplify: iters left: 1 (10 enodes) 1545218168.073 * [exit]simplify: Simplified to (sqrt PI) 1545218168.073 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218168.074 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218168.074 * * [misc]simplify: iters left: 6 (14 enodes) 1545218168.078 * * [misc]simplify: iters left: 5 (20 enodes) 1545218168.084 * * [misc]simplify: iters left: 4 (24 enodes) 1545218168.092 * * [misc]simplify: iters left: 3 (26 enodes) 1545218168.097 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218168.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218168.097 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1545218168.097 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1545218168.097 * * [misc]simplify: iters left: 3 (6 enodes) 1545218168.098 * * [misc]simplify: iters left: 2 (7 enodes) 1545218168.099 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1545218168.099 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218168.099 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218168.099 * * [misc]simplify: iters left: 6 (14 enodes) 1545218168.101 * * [misc]simplify: iters left: 5 (22 enodes) 1545218168.104 * * [misc]simplify: iters left: 4 (26 enodes) 1545218168.108 * * [misc]simplify: iters left: 3 (36 enodes) 1545218168.112 * * [misc]simplify: iters left: 2 (38 enodes) 1545218168.116 * * [misc]simplify: iters left: 1 (43 enodes) 1545218168.120 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1545218168.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1545218168.121 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1545218168.121 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1545218168.121 * * [misc]simplify: iters left: 6 (11 enodes) 1545218168.122 * * [misc]simplify: iters left: 5 (16 enodes) 1545218168.126 * * [misc]simplify: iters left: 4 (19 enodes) 1545218168.131 * * [misc]simplify: iters left: 3 (21 enodes) 1545218168.136 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1545218168.136 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1545218168.136 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1545218168.136 * * [misc]simplify: iters left: 6 (10 enodes) 1545218168.139 * * [misc]simplify: iters left: 5 (13 enodes) 1545218168.143 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1545218168.143 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1545218168.143 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1545218168.143 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218168.144 * * [misc]simplify: iters left: 6 (17 enodes) 1545218168.149 * * [misc]simplify: iters left: 5 (26 enodes) 1545218168.156 * * [misc]simplify: iters left: 4 (38 enodes) 1545218168.166 * * [misc]simplify: iters left: 3 (41 enodes) 1545218168.176 * * [misc]simplify: iters left: 2 (44 enodes) 1545218168.183 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218168.184 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218168.184 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218168.184 * * [misc]simplify: iters left: 6 (15 enodes) 1545218168.186 * * [misc]simplify: iters left: 5 (18 enodes) 1545218168.189 * * [misc]simplify: iters left: 4 (21 enodes) 1545218168.192 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218168.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218168.192 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1545218168.192 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218168.192 * * [misc]simplify: iters left: 6 (16 enodes) 1545218168.195 * * [misc]simplify: iters left: 5 (21 enodes) 1545218168.198 * * [misc]simplify: iters left: 4 (26 enodes) 1545218168.202 * * [misc]simplify: iters left: 3 (27 enodes) 1545218168.206 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218168.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218168.206 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218168.206 * * [misc]simplify: iters left: 6 (15 enodes) 1545218168.208 * * [misc]simplify: iters left: 5 (18 enodes) 1545218168.211 * * [misc]simplify: iters left: 4 (21 enodes) 1545218168.214 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218168.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218168.214 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1545218168.214 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218168.214 * * [misc]simplify: iters left: 6 (17 enodes) 1545218168.218 * * [misc]simplify: iters left: 5 (27 enodes) 1545218168.226 * * [misc]simplify: iters left: 4 (45 enodes) 1545218168.240 * * [misc]simplify: iters left: 3 (86 enodes) 1545218168.257 * * [misc]simplify: iters left: 2 (137 enodes) 1545218168.286 * * [misc]simplify: iters left: 1 (166 enodes) 1545218168.326 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218168.327 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218168.327 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218168.327 * * [misc]simplify: iters left: 6 (16 enodes) 1545218168.329 * * [misc]simplify: iters left: 5 (22 enodes) 1545218168.332 * * [misc]simplify: iters left: 4 (26 enodes) 1545218168.335 * * [misc]simplify: iters left: 3 (28 enodes) 1545218168.339 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218168.339 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218168.339 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1545218168.339 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218168.339 * * [misc]simplify: iters left: 6 (17 enodes) 1545218168.345 * * [misc]simplify: iters left: 5 (27 enodes) 1545218168.352 * * [misc]simplify: iters left: 4 (45 enodes) 1545218168.366 * * [misc]simplify: iters left: 3 (86 enodes) 1545218168.394 * * [misc]simplify: iters left: 2 (137 enodes) 1545218168.419 * * [misc]simplify: iters left: 1 (166 enodes) 1545218168.460 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218168.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218168.461 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218168.461 * * [misc]simplify: iters left: 6 (16 enodes) 1545218168.465 * * [misc]simplify: iters left: 5 (22 enodes) 1545218168.471 * * [misc]simplify: iters left: 4 (26 enodes) 1545218168.478 * * [misc]simplify: iters left: 3 (28 enodes) 1545218168.485 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218168.485 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218168.485 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1545218168.486 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218168.486 * * [misc]simplify: iters left: 6 (16 enodes) 1545218168.491 * * [misc]simplify: iters left: 5 (24 enodes) 1545218168.499 * * [misc]simplify: iters left: 4 (42 enodes) 1545218168.513 * * [misc]simplify: iters left: 3 (83 enodes) 1545218168.539 * * [misc]simplify: iters left: 2 (134 enodes) 1545218168.564 * * [misc]simplify: iters left: 1 (163 enodes) 1545218168.618 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218168.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218168.618 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218168.619 * * [misc]simplify: iters left: 6 (13 enodes) 1545218168.622 * * [misc]simplify: iters left: 5 (17 enodes) 1545218168.627 * * [misc]simplify: iters left: 4 (23 enodes) 1545218168.634 * * [misc]simplify: iters left: 3 (25 enodes) 1545218168.640 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218168.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218168.640 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1545218168.640 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218168.641 * * [misc]simplify: iters left: 6 (19 enodes) 1545218168.647 * * [misc]simplify: iters left: 5 (32 enodes) 1545218168.654 * * [misc]simplify: iters left: 4 (66 enodes) 1545218168.665 * * [misc]simplify: iters left: 3 (135 enodes) 1545218168.704 * * [misc]simplify: iters left: 2 (266 enodes) 1545218168.830 * * [misc]simplify: iters left: 1 (376 enodes) 1545218169.007 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545218169.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218169.008 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218169.008 * * [misc]simplify: iters left: 6 (16 enodes) 1545218169.010 * * [misc]simplify: iters left: 5 (21 enodes) 1545218169.013 * * [misc]simplify: iters left: 4 (27 enodes) 1545218169.016 * * [misc]simplify: iters left: 3 (29 enodes) 1545218169.020 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545218169.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545218169.020 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1545218169.020 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218169.021 * * [misc]simplify: iters left: 6 (18 enodes) 1545218169.023 * * [misc]simplify: iters left: 5 (27 enodes) 1545218169.027 * * [misc]simplify: iters left: 4 (45 enodes) 1545218169.038 * * [misc]simplify: iters left: 3 (86 enodes) 1545218169.058 * * [misc]simplify: iters left: 2 (137 enodes) 1545218169.083 * * [misc]simplify: iters left: 1 (166 enodes) 1545218169.123 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218169.123 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218169.123 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218169.123 * * [misc]simplify: iters left: 6 (16 enodes) 1545218169.126 * * [misc]simplify: iters left: 5 (21 enodes) 1545218169.129 * * [misc]simplify: iters left: 4 (27 enodes) 1545218169.132 * * [misc]simplify: iters left: 3 (29 enodes) 1545218169.136 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545218169.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545218169.136 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1545218169.136 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218169.136 * * [misc]simplify: iters left: 6 (15 enodes) 1545218169.138 * * [misc]simplify: iters left: 5 (25 enodes) 1545218169.146 * * [misc]simplify: iters left: 4 (46 enodes) 1545218169.161 * * [misc]simplify: iters left: 3 (70 enodes) 1545218169.177 * * [misc]simplify: iters left: 2 (144 enodes) 1545218169.213 * * [misc]simplify: iters left: 1 (214 enodes) 1545218169.245 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545218169.245 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218169.245 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218169.245 * * [misc]simplify: iters left: 6 (15 enodes) 1545218169.247 * * [misc]simplify: iters left: 5 (20 enodes) 1545218169.250 * * [misc]simplify: iters left: 4 (26 enodes) 1545218169.253 * * [misc]simplify: iters left: 3 (28 enodes) 1545218169.257 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218169.257 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218169.257 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1545218169.258 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218169.258 * * [misc]simplify: iters left: 6 (16 enodes) 1545218169.261 * * [misc]simplify: iters left: 5 (24 enodes) 1545218169.267 * * [misc]simplify: iters left: 4 (34 enodes) 1545218169.277 * * [misc]simplify: iters left: 3 (46 enodes) 1545218169.289 * * [misc]simplify: iters left: 2 (58 enodes) 1545218169.299 * * [misc]simplify: iters left: 1 (64 enodes) 1545218169.308 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1545218169.309 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218169.309 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218169.309 * * [misc]simplify: iters left: 6 (16 enodes) 1545218169.311 * * [misc]simplify: iters left: 5 (22 enodes) 1545218169.314 * * [misc]simplify: iters left: 4 (26 enodes) 1545218169.317 * * [misc]simplify: iters left: 3 (28 enodes) 1545218169.321 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218169.321 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218169.321 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1545218169.321 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218169.321 * * [misc]simplify: iters left: 6 (16 enodes) 1545218169.324 * * [misc]simplify: iters left: 5 (24 enodes) 1545218169.332 * * [misc]simplify: iters left: 4 (34 enodes) 1545218169.341 * * [misc]simplify: iters left: 3 (46 enodes) 1545218169.353 * * [misc]simplify: iters left: 2 (58 enodes) 1545218169.369 * * [misc]simplify: iters left: 1 (64 enodes) 1545218169.385 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1545218169.385 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218169.385 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218169.385 * * [misc]simplify: iters left: 6 (16 enodes) 1545218169.388 * * [misc]simplify: iters left: 5 (22 enodes) 1545218169.390 * * [misc]simplify: iters left: 4 (26 enodes) 1545218169.394 * * [misc]simplify: iters left: 3 (28 enodes) 1545218169.397 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218169.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218169.397 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1545218169.398 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218169.398 * * [misc]simplify: iters left: 6 (15 enodes) 1545218169.400 * * [misc]simplify: iters left: 5 (21 enodes) 1545218169.403 * * [misc]simplify: iters left: 4 (31 enodes) 1545218169.407 * * [misc]simplify: iters left: 3 (43 enodes) 1545218169.413 * * [misc]simplify: iters left: 2 (55 enodes) 1545218169.420 * * [misc]simplify: iters left: 1 (61 enodes) 1545218169.429 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218169.429 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218169.429 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218169.429 * * [misc]simplify: iters left: 6 (13 enodes) 1545218169.431 * * [misc]simplify: iters left: 5 (17 enodes) 1545218169.434 * * [misc]simplify: iters left: 4 (23 enodes) 1545218169.437 * * [misc]simplify: iters left: 3 (25 enodes) 1545218169.440 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218169.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218169.440 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1545218169.440 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218169.440 * * [misc]simplify: iters left: 6 (18 enodes) 1545218169.443 * * [misc]simplify: iters left: 5 (27 enodes) 1545218169.450 * * [misc]simplify: iters left: 4 (41 enodes) 1545218169.463 * * [misc]simplify: iters left: 3 (67 enodes) 1545218169.484 * * [misc]simplify: iters left: 2 (106 enodes) 1545218169.522 * * [misc]simplify: iters left: 1 (137 enodes) 1545218169.567 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1545218169.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218169.568 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218169.568 * * [misc]simplify: iters left: 6 (16 enodes) 1545218169.573 * * [misc]simplify: iters left: 5 (21 enodes) 1545218169.579 * * [misc]simplify: iters left: 4 (27 enodes) 1545218169.586 * * [misc]simplify: iters left: 3 (29 enodes) 1545218169.594 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218169.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545218169.595 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1545218169.595 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218169.595 * * [misc]simplify: iters left: 6 (17 enodes) 1545218169.598 * * [misc]simplify: iters left: 5 (24 enodes) 1545218169.601 * * [misc]simplify: iters left: 4 (34 enodes) 1545218169.606 * * [misc]simplify: iters left: 3 (46 enodes) 1545218169.612 * * [misc]simplify: iters left: 2 (58 enodes) 1545218169.620 * * [misc]simplify: iters left: 1 (64 enodes) 1545218169.631 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218169.631 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218169.631 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218169.631 * * [misc]simplify: iters left: 6 (16 enodes) 1545218169.636 * * [misc]simplify: iters left: 5 (21 enodes) 1545218169.641 * * [misc]simplify: iters left: 4 (27 enodes) 1545218169.644 * * [misc]simplify: iters left: 3 (29 enodes) 1545218169.649 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218169.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545218169.649 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1545218169.649 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1545218169.650 * * [misc]simplify: iters left: 6 (14 enodes) 1545218169.652 * * [misc]simplify: iters left: 5 (22 enodes) 1545218169.655 * * [misc]simplify: iters left: 4 (33 enodes) 1545218169.660 * * [misc]simplify: iters left: 3 (44 enodes) 1545218169.665 * * [misc]simplify: iters left: 2 (45 enodes) 1545218169.669 * * [misc]simplify: iters left: 1 (51 enodes) 1545218169.677 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218169.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218169.678 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218169.678 * * [misc]simplify: iters left: 6 (15 enodes) 1545218169.683 * * [misc]simplify: iters left: 5 (20 enodes) 1545218169.686 * * [misc]simplify: iters left: 4 (26 enodes) 1545218169.690 * * [misc]simplify: iters left: 3 (28 enodes) 1545218169.694 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218169.694 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218169.694 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1545218169.694 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1545218169.694 * * [misc]simplify: iters left: 6 (15 enodes) 1545218169.697 * * [misc]simplify: iters left: 5 (25 enodes) 1545218169.700 * * [misc]simplify: iters left: 4 (35 enodes) 1545218169.705 * * [misc]simplify: iters left: 3 (50 enodes) 1545218169.713 * * [misc]simplify: iters left: 2 (98 enodes) 1545218169.750 * * [misc]simplify: iters left: 1 (235 enodes) 1545218169.806 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1545218169.806 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218169.806 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218169.807 * * [misc]simplify: iters left: 6 (15 enodes) 1545218169.809 * * [misc]simplify: iters left: 5 (21 enodes) 1545218169.812 * * [misc]simplify: iters left: 4 (25 enodes) 1545218169.815 * * [misc]simplify: iters left: 3 (27 enodes) 1545218169.821 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545218169.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545218169.822 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1545218169.822 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1545218169.822 * * [misc]simplify: iters left: 6 (15 enodes) 1545218169.827 * * [misc]simplify: iters left: 5 (25 enodes) 1545218169.834 * * [misc]simplify: iters left: 4 (35 enodes) 1545218169.844 * * [misc]simplify: iters left: 3 (50 enodes) 1545218169.859 * * [misc]simplify: iters left: 2 (98 enodes) 1545218169.902 * * [misc]simplify: iters left: 1 (235 enodes) 1545218169.979 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1545218169.979 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218169.980 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218169.980 * * [misc]simplify: iters left: 6 (15 enodes) 1545218169.982 * * [misc]simplify: iters left: 5 (21 enodes) 1545218169.985 * * [misc]simplify: iters left: 4 (25 enodes) 1545218169.988 * * [misc]simplify: iters left: 3 (27 enodes) 1545218169.992 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545218169.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545218169.992 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1545218169.992 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218169.992 * * [misc]simplify: iters left: 6 (14 enodes) 1545218169.994 * * [misc]simplify: iters left: 5 (22 enodes) 1545218169.997 * * [misc]simplify: iters left: 4 (32 enodes) 1545218170.002 * * [misc]simplify: iters left: 3 (47 enodes) 1545218170.010 * * [misc]simplify: iters left: 2 (95 enodes) 1545218170.051 * * [misc]simplify: iters left: 1 (215 enodes) 1545218170.118 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218170.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218170.119 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218170.119 * * [misc]simplify: iters left: 6 (12 enodes) 1545218170.122 * * [misc]simplify: iters left: 5 (16 enodes) 1545218170.127 * * [misc]simplify: iters left: 4 (22 enodes) 1545218170.133 * * [misc]simplify: iters left: 3 (24 enodes) 1545218170.139 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218170.139 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218170.140 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1545218170.140 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218170.140 * * [misc]simplify: iters left: 6 (17 enodes) 1545218170.146 * * [misc]simplify: iters left: 5 (28 enodes) 1545218170.154 * * [misc]simplify: iters left: 4 (42 enodes) 1545218170.167 * * [misc]simplify: iters left: 3 (69 enodes) 1545218170.191 * * [misc]simplify: iters left: 2 (137 enodes) 1545218170.291 * * [misc]simplify: iters left: 1 (398 enodes) 1545218170.505 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218170.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218170.505 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218170.505 * * [misc]simplify: iters left: 6 (15 enodes) 1545218170.507 * * [misc]simplify: iters left: 5 (20 enodes) 1545218170.510 * * [misc]simplify: iters left: 4 (26 enodes) 1545218170.513 * * [misc]simplify: iters left: 3 (28 enodes) 1545218170.517 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218170.517 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218170.517 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1545218170.517 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218170.518 * * [misc]simplify: iters left: 6 (16 enodes) 1545218170.520 * * [misc]simplify: iters left: 5 (25 enodes) 1545218170.523 * * [misc]simplify: iters left: 4 (35 enodes) 1545218170.536 * * [misc]simplify: iters left: 3 (50 enodes) 1545218170.550 * * [misc]simplify: iters left: 2 (73 enodes) 1545218170.575 * * [misc]simplify: iters left: 1 (148 enodes) 1545218170.609 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218170.610 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218170.610 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218170.610 * * [misc]simplify: iters left: 6 (15 enodes) 1545218170.615 * * [misc]simplify: iters left: 5 (20 enodes) 1545218170.621 * * [misc]simplify: iters left: 4 (26 enodes) 1545218170.628 * * [misc]simplify: iters left: 3 (28 enodes) 1545218170.635 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218170.635 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218170.635 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1545218170.636 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1545218170.636 * * [misc]simplify: iters left: 6 (12 enodes) 1545218170.641 * * [misc]simplify: iters left: 5 (18 enodes) 1545218170.646 * * [misc]simplify: iters left: 4 (21 enodes) 1545218170.652 * * [misc]simplify: iters left: 3 (29 enodes) 1545218170.661 * * [misc]simplify: iters left: 2 (31 enodes) 1545218170.668 * * [misc]simplify: iters left: 1 (38 enodes) 1545218170.677 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218170.677 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218170.677 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218170.677 * * [misc]simplify: iters left: 6 (14 enodes) 1545218170.681 * * [misc]simplify: iters left: 5 (19 enodes) 1545218170.687 * * [misc]simplify: iters left: 4 (25 enodes) 1545218170.693 * * [misc]simplify: iters left: 3 (27 enodes) 1545218170.700 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218170.701 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218170.701 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1545218170.701 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1545218170.701 * * [misc]simplify: iters left: 6 (11 enodes) 1545218170.705 * * [misc]simplify: iters left: 5 (17 enodes) 1545218170.710 * * [misc]simplify: iters left: 4 (26 enodes) 1545218170.717 * * [misc]simplify: iters left: 3 (28 enodes) 1545218170.723 * * [misc]simplify: iters left: 2 (33 enodes) 1545218170.731 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218170.731 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218170.731 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218170.732 * * [misc]simplify: iters left: 6 (14 enodes) 1545218170.736 * * [misc]simplify: iters left: 5 (19 enodes) 1545218170.740 * * [misc]simplify: iters left: 4 (25 enodes) 1545218170.744 * * [misc]simplify: iters left: 3 (27 enodes) 1545218170.747 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218170.747 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218170.747 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1545218170.747 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1545218170.747 * * [misc]simplify: iters left: 6 (11 enodes) 1545218170.749 * * [misc]simplify: iters left: 5 (15 enodes) 1545218170.751 * * [misc]simplify: iters left: 4 (20 enodes) 1545218170.753 * * [misc]simplify: iters left: 3 (21 enodes) 1545218170.756 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218170.756 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218170.757 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218170.757 * * [misc]simplify: iters left: 6 (14 enodes) 1545218170.759 * * [misc]simplify: iters left: 5 (21 enodes) 1545218170.761 * * [misc]simplify: iters left: 4 (27 enodes) 1545218170.767 * * [misc]simplify: iters left: 3 (37 enodes) 1545218170.771 * * [misc]simplify: iters left: 2 (39 enodes) 1545218170.775 * * [misc]simplify: iters left: 1 (44 enodes) 1545218170.780 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218170.780 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1545218170.780 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1545218170.780 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1545218170.781 * * [misc]simplify: iters left: 6 (15 enodes) 1545218170.785 * * [misc]simplify: iters left: 5 (23 enodes) 1545218170.792 * * [misc]simplify: iters left: 4 (33 enodes) 1545218170.801 * * [misc]simplify: iters left: 3 (45 enodes) 1545218170.813 * * [misc]simplify: iters left: 2 (57 enodes) 1545218170.829 * * [misc]simplify: iters left: 1 (63 enodes) 1545218170.846 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545218170.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545218170.847 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545218170.847 * * [misc]simplify: iters left: 6 (12 enodes) 1545218170.850 * * [misc]simplify: iters left: 5 (15 enodes) 1545218170.855 * * [misc]simplify: iters left: 4 (18 enodes) 1545218170.860 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545218170.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545218170.861 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1545218170.861 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218170.861 * * [misc]simplify: iters left: 6 (16 enodes) 1545218170.866 * * [misc]simplify: iters left: 5 (21 enodes) 1545218170.872 * * [misc]simplify: iters left: 4 (24 enodes) 1545218170.875 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218170.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218170.875 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218170.876 * * [misc]simplify: iters left: 6 (15 enodes) 1545218170.878 * * [misc]simplify: iters left: 5 (18 enodes) 1545218170.880 * * [misc]simplify: iters left: 4 (21 enodes) 1545218170.884 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218170.884 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218170.884 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1545218170.884 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218170.884 * * [misc]simplify: iters left: 6 (15 enodes) 1545218170.886 * * [misc]simplify: iters left: 5 (18 enodes) 1545218170.889 * * [misc]simplify: iters left: 4 (21 enodes) 1545218170.892 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218170.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218170.892 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218170.892 * * [misc]simplify: iters left: 6 (15 enodes) 1545218170.894 * * [misc]simplify: iters left: 5 (18 enodes) 1545218170.896 * * [misc]simplify: iters left: 4 (21 enodes) 1545218170.899 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218170.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545218170.899 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1545218170.900 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218170.900 * * [misc]simplify: iters left: 6 (16 enodes) 1545218170.905 * * [misc]simplify: iters left: 5 (24 enodes) 1545218170.911 * * [misc]simplify: iters left: 4 (34 enodes) 1545218170.921 * * [misc]simplify: iters left: 3 (46 enodes) 1545218170.933 * * [misc]simplify: iters left: 2 (51 enodes) 1545218170.945 * * [misc]simplify: iters left: 1 (58 enodes) 1545218170.959 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1545218170.959 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218170.960 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218170.960 * * [misc]simplify: iters left: 6 (16 enodes) 1545218170.964 * * [misc]simplify: iters left: 5 (22 enodes) 1545218170.970 * * [misc]simplify: iters left: 4 (26 enodes) 1545218170.977 * * [misc]simplify: iters left: 3 (28 enodes) 1545218170.984 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218170.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218170.985 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1545218170.985 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218170.985 * * [misc]simplify: iters left: 6 (16 enodes) 1545218170.990 * * [misc]simplify: iters left: 5 (24 enodes) 1545218170.996 * * [misc]simplify: iters left: 4 (34 enodes) 1545218171.006 * * [misc]simplify: iters left: 3 (46 enodes) 1545218171.019 * * [misc]simplify: iters left: 2 (51 enodes) 1545218171.025 * * [misc]simplify: iters left: 1 (58 enodes) 1545218171.032 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1545218171.033 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218171.033 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218171.033 * * [misc]simplify: iters left: 6 (16 enodes) 1545218171.035 * * [misc]simplify: iters left: 5 (22 enodes) 1545218171.038 * * [misc]simplify: iters left: 4 (26 enodes) 1545218171.042 * * [misc]simplify: iters left: 3 (28 enodes) 1545218171.048 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218171.048 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218171.048 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1545218171.048 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218171.048 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.053 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.059 * * [misc]simplify: iters left: 4 (31 enodes) 1545218171.068 * * [misc]simplify: iters left: 3 (43 enodes) 1545218171.080 * * [misc]simplify: iters left: 2 (48 enodes) 1545218171.092 * * [misc]simplify: iters left: 1 (55 enodes) 1545218171.105 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218171.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218171.106 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218171.106 * * [misc]simplify: iters left: 6 (13 enodes) 1545218171.110 * * [misc]simplify: iters left: 5 (17 enodes) 1545218171.114 * * [misc]simplify: iters left: 4 (23 enodes) 1545218171.121 * * [misc]simplify: iters left: 3 (25 enodes) 1545218171.125 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218171.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218171.125 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1545218171.125 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218171.126 * * [misc]simplify: iters left: 6 (18 enodes) 1545218171.129 * * [misc]simplify: iters left: 5 (29 enodes) 1545218171.133 * * [misc]simplify: iters left: 4 (50 enodes) 1545218171.141 * * [misc]simplify: iters left: 3 (73 enodes) 1545218171.153 * * [misc]simplify: iters left: 2 (103 enodes) 1545218171.184 * * [misc]simplify: iters left: 1 (127 enodes) 1545218171.227 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545218171.227 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218171.227 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.227 * * [misc]simplify: iters left: 6 (16 enodes) 1545218171.232 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.240 * * [misc]simplify: iters left: 4 (27 enodes) 1545218171.248 * * [misc]simplify: iters left: 3 (29 enodes) 1545218171.253 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545218171.254 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545218171.254 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1545218171.254 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.254 * * [misc]simplify: iters left: 6 (17 enodes) 1545218171.256 * * [misc]simplify: iters left: 5 (24 enodes) 1545218171.260 * * [misc]simplify: iters left: 4 (34 enodes) 1545218171.264 * * [misc]simplify: iters left: 3 (46 enodes) 1545218171.270 * * [misc]simplify: iters left: 2 (51 enodes) 1545218171.276 * * [misc]simplify: iters left: 1 (58 enodes) 1545218171.289 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218171.289 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218171.289 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.289 * * [misc]simplify: iters left: 6 (16 enodes) 1545218171.294 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.300 * * [misc]simplify: iters left: 4 (27 enodes) 1545218171.307 * * [misc]simplify: iters left: 3 (29 enodes) 1545218171.315 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545218171.315 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545218171.315 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1545218171.315 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218171.316 * * [misc]simplify: iters left: 6 (14 enodes) 1545218171.320 * * [misc]simplify: iters left: 5 (22 enodes) 1545218171.328 * * [misc]simplify: iters left: 4 (36 enodes) 1545218171.338 * * [misc]simplify: iters left: 3 (57 enodes) 1545218171.355 * * [misc]simplify: iters left: 2 (119 enodes) 1545218171.407 * * [misc]simplify: iters left: 1 (178 enodes) 1545218171.437 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218171.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218171.438 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218171.438 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.440 * * [misc]simplify: iters left: 5 (20 enodes) 1545218171.443 * * [misc]simplify: iters left: 4 (26 enodes) 1545218171.446 * * [misc]simplify: iters left: 3 (28 enodes) 1545218171.450 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218171.450 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218171.450 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1545218171.450 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218171.450 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.452 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.455 * * [misc]simplify: iters left: 4 (27 enodes) 1545218171.458 * * [misc]simplify: iters left: 3 (29 enodes) 1545218171.462 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1545218171.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218171.462 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218171.462 * * [misc]simplify: iters left: 6 (16 enodes) 1545218171.465 * * [misc]simplify: iters left: 5 (22 enodes) 1545218171.469 * * [misc]simplify: iters left: 4 (26 enodes) 1545218171.476 * * [misc]simplify: iters left: 3 (28 enodes) 1545218171.484 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218171.484 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218171.484 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1545218171.484 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218171.484 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.489 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.495 * * [misc]simplify: iters left: 4 (27 enodes) 1545218171.502 * * [misc]simplify: iters left: 3 (29 enodes) 1545218171.510 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1545218171.510 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218171.510 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218171.510 * * [misc]simplify: iters left: 6 (16 enodes) 1545218171.515 * * [misc]simplify: iters left: 5 (22 enodes) 1545218171.521 * * [misc]simplify: iters left: 4 (26 enodes) 1545218171.528 * * [misc]simplify: iters left: 3 (28 enodes) 1545218171.535 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218171.535 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218171.535 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1545218171.536 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218171.536 * * [misc]simplify: iters left: 6 (14 enodes) 1545218171.540 * * [misc]simplify: iters left: 5 (18 enodes) 1545218171.545 * * [misc]simplify: iters left: 4 (24 enodes) 1545218171.552 * * [misc]simplify: iters left: 3 (26 enodes) 1545218171.558 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218171.558 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218171.559 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218171.559 * * [misc]simplify: iters left: 6 (13 enodes) 1545218171.563 * * [misc]simplify: iters left: 5 (17 enodes) 1545218171.568 * * [misc]simplify: iters left: 4 (23 enodes) 1545218171.574 * * [misc]simplify: iters left: 3 (25 enodes) 1545218171.580 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218171.580 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218171.581 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1545218171.581 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218171.581 * * [misc]simplify: iters left: 6 (17 enodes) 1545218171.586 * * [misc]simplify: iters left: 5 (24 enodes) 1545218171.593 * * [misc]simplify: iters left: 4 (32 enodes) 1545218171.604 * * [misc]simplify: iters left: 3 (41 enodes) 1545218171.614 * * [misc]simplify: iters left: 2 (49 enodes) 1545218171.620 * * [misc]simplify: iters left: 1 (51 enodes) 1545218171.626 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218171.627 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.627 * * [misc]simplify: iters left: 6 (16 enodes) 1545218171.629 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.632 * * [misc]simplify: iters left: 4 (27 enodes) 1545218171.636 * * [misc]simplify: iters left: 3 (29 enodes) 1545218171.639 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218171.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545218171.640 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1545218171.640 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.640 * * [misc]simplify: iters left: 6 (16 enodes) 1545218171.642 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.645 * * [misc]simplify: iters left: 4 (27 enodes) 1545218171.649 * * [misc]simplify: iters left: 3 (29 enodes) 1545218171.652 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218171.652 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218171.653 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.653 * * [misc]simplify: iters left: 6 (16 enodes) 1545218171.655 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.658 * * [misc]simplify: iters left: 4 (27 enodes) 1545218171.661 * * [misc]simplify: iters left: 3 (29 enodes) 1545218171.665 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545218171.665 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545218171.665 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1545218171.666 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1545218171.666 * * [misc]simplify: iters left: 6 (13 enodes) 1545218171.668 * * [misc]simplify: iters left: 5 (19 enodes) 1545218171.671 * * [misc]simplify: iters left: 4 (29 enodes) 1545218171.674 * * [misc]simplify: iters left: 3 (33 enodes) 1545218171.678 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218171.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218171.678 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218171.678 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.680 * * [misc]simplify: iters left: 5 (20 enodes) 1545218171.684 * * [misc]simplify: iters left: 4 (26 enodes) 1545218171.688 * * [misc]simplify: iters left: 3 (28 enodes) 1545218171.691 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218171.691 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218171.691 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1545218171.691 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1545218171.692 * * [misc]simplify: iters left: 6 (14 enodes) 1545218171.694 * * [misc]simplify: iters left: 5 (22 enodes) 1545218171.696 * * [misc]simplify: iters left: 4 (28 enodes) 1545218171.701 * * [misc]simplify: iters left: 3 (38 enodes) 1545218171.705 * * [misc]simplify: iters left: 2 (40 enodes) 1545218171.712 * * [misc]simplify: iters left: 1 (45 enodes) 1545218171.722 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218171.722 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218171.722 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218171.723 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.727 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.733 * * [misc]simplify: iters left: 4 (25 enodes) 1545218171.739 * * [misc]simplify: iters left: 3 (27 enodes) 1545218171.746 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545218171.746 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545218171.746 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1545218171.746 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1545218171.747 * * [misc]simplify: iters left: 6 (14 enodes) 1545218171.751 * * [misc]simplify: iters left: 5 (22 enodes) 1545218171.757 * * [misc]simplify: iters left: 4 (28 enodes) 1545218171.765 * * [misc]simplify: iters left: 3 (38 enodes) 1545218171.774 * * [misc]simplify: iters left: 2 (40 enodes) 1545218171.781 * * [misc]simplify: iters left: 1 (45 enodes) 1545218171.791 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218171.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218171.791 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218171.791 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.796 * * [misc]simplify: iters left: 5 (21 enodes) 1545218171.801 * * [misc]simplify: iters left: 4 (25 enodes) 1545218171.809 * * [misc]simplify: iters left: 3 (27 enodes) 1545218171.816 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545218171.816 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545218171.816 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1545218171.816 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218171.816 * * [misc]simplify: iters left: 6 (13 enodes) 1545218171.819 * * [misc]simplify: iters left: 5 (19 enodes) 1545218171.822 * * [misc]simplify: iters left: 4 (25 enodes) 1545218171.826 * * [misc]simplify: iters left: 3 (35 enodes) 1545218171.830 * * [misc]simplify: iters left: 2 (37 enodes) 1545218171.834 * * [misc]simplify: iters left: 1 (42 enodes) 1545218171.839 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218171.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218171.839 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218171.839 * * [misc]simplify: iters left: 6 (12 enodes) 1545218171.841 * * [misc]simplify: iters left: 5 (16 enodes) 1545218171.843 * * [misc]simplify: iters left: 4 (22 enodes) 1545218171.846 * * [misc]simplify: iters left: 3 (24 enodes) 1545218171.849 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218171.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218171.849 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1545218171.850 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218171.850 * * [misc]simplify: iters left: 6 (16 enodes) 1545218171.852 * * [misc]simplify: iters left: 5 (25 enodes) 1545218171.855 * * [misc]simplify: iters left: 4 (33 enodes) 1545218171.861 * * [misc]simplify: iters left: 3 (47 enodes) 1545218171.872 * * [misc]simplify: iters left: 2 (56 enodes) 1545218171.884 * * [misc]simplify: iters left: 1 (66 enodes) 1545218171.902 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218171.903 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218171.903 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.903 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.908 * * [misc]simplify: iters left: 5 (20 enodes) 1545218171.913 * * [misc]simplify: iters left: 4 (26 enodes) 1545218171.920 * * [misc]simplify: iters left: 3 (28 enodes) 1545218171.927 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218171.927 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218171.927 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1545218171.928 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.928 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.932 * * [misc]simplify: iters left: 5 (22 enodes) 1545218171.934 * * [misc]simplify: iters left: 4 (28 enodes) 1545218171.939 * * [misc]simplify: iters left: 3 (38 enodes) 1545218171.943 * * [misc]simplify: iters left: 2 (40 enodes) 1545218171.947 * * [misc]simplify: iters left: 1 (45 enodes) 1545218171.956 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218171.957 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218171.957 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218171.957 * * [misc]simplify: iters left: 6 (15 enodes) 1545218171.961 * * [misc]simplify: iters left: 5 (20 enodes) 1545218171.967 * * [misc]simplify: iters left: 4 (26 enodes) 1545218171.972 * * [misc]simplify: iters left: 3 (28 enodes) 1545218171.976 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218171.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218171.976 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1545218171.976 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1545218171.976 * * [misc]simplify: iters left: 6 (11 enodes) 1545218171.978 * * [misc]simplify: iters left: 5 (15 enodes) 1545218171.980 * * [misc]simplify: iters left: 4 (18 enodes) 1545218171.982 * * [misc]simplify: iters left: 3 (20 enodes) 1545218171.985 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545218171.985 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218171.985 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218171.985 * * [misc]simplify: iters left: 6 (14 enodes) 1545218171.987 * * [misc]simplify: iters left: 5 (19 enodes) 1545218171.989 * * [misc]simplify: iters left: 4 (25 enodes) 1545218171.994 * * [misc]simplify: iters left: 3 (27 enodes) 1545218172.000 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218172.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218172.000 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1545218172.001 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1545218172.001 * * [misc]simplify: iters left: 6 (10 enodes) 1545218172.003 * * [misc]simplify: iters left: 5 (14 enodes) 1545218172.007 * * [misc]simplify: iters left: 4 (19 enodes) 1545218172.012 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545218172.012 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218172.012 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218172.012 * * [misc]simplify: iters left: 6 (14 enodes) 1545218172.017 * * [misc]simplify: iters left: 5 (19 enodes) 1545218172.020 * * [misc]simplify: iters left: 4 (25 enodes) 1545218172.023 * * [misc]simplify: iters left: 3 (27 enodes) 1545218172.026 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218172.026 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218172.026 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1545218172.027 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218172.027 * * [misc]simplify: iters left: 6 (10 enodes) 1545218172.028 * * [misc]simplify: iters left: 5 (12 enodes) 1545218172.030 * * [misc]simplify: iters left: 4 (15 enodes) 1545218172.032 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218172.032 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218172.032 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218172.032 * * [misc]simplify: iters left: 6 (14 enodes) 1545218172.034 * * [misc]simplify: iters left: 5 (21 enodes) 1545218172.037 * * [misc]simplify: iters left: 4 (27 enodes) 1545218172.041 * * [misc]simplify: iters left: 3 (37 enodes) 1545218172.046 * * [misc]simplify: iters left: 2 (39 enodes) 1545218172.050 * * [misc]simplify: iters left: 1 (44 enodes) 1545218172.055 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545218172.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1545218172.055 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1545218172.055 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1545218172.055 * * [misc]simplify: iters left: 6 (14 enodes) 1545218172.057 * * [misc]simplify: iters left: 5 (20 enodes) 1545218172.060 * * [misc]simplify: iters left: 4 (26 enodes) 1545218172.063 * * [misc]simplify: iters left: 3 (28 enodes) 1545218172.066 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1545218172.066 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545218172.066 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545218172.067 * * [misc]simplify: iters left: 6 (12 enodes) 1545218172.068 * * [misc]simplify: iters left: 5 (15 enodes) 1545218172.070 * * [misc]simplify: iters left: 4 (18 enodes) 1545218172.074 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545218172.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545218172.074 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1545218172.074 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218172.075 * * [misc]simplify: iters left: 6 (14 enodes) 1545218172.079 * * [misc]simplify: iters left: 5 (21 enodes) 1545218172.084 * * [misc]simplify: iters left: 4 (24 enodes) 1545218172.091 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.091 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218172.091 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.091 * * [misc]simplify: iters left: 6 (14 enodes) 1545218172.095 * * [misc]simplify: iters left: 5 (17 enodes) 1545218172.100 * * [misc]simplify: iters left: 4 (20 enodes) 1545218172.107 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218172.107 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1545218172.108 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.108 * * [misc]simplify: iters left: 6 (13 enodes) 1545218172.112 * * [misc]simplify: iters left: 5 (18 enodes) 1545218172.116 * * [misc]simplify: iters left: 4 (21 enodes) 1545218172.122 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.122 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218172.122 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.122 * * [misc]simplify: iters left: 6 (14 enodes) 1545218172.126 * * [misc]simplify: iters left: 5 (17 enodes) 1545218172.131 * * [misc]simplify: iters left: 4 (20 enodes) 1545218172.136 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218172.136 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1545218172.137 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218172.137 * * [misc]simplify: iters left: 6 (12 enodes) 1545218172.141 * * [misc]simplify: iters left: 5 (20 enodes) 1545218172.144 * * [misc]simplify: iters left: 4 (27 enodes) 1545218172.148 * * [misc]simplify: iters left: 3 (37 enodes) 1545218172.155 * * [misc]simplify: iters left: 2 (64 enodes) 1545218172.165 * * [misc]simplify: iters left: 1 (93 enodes) 1545218172.180 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218172.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218172.180 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218172.180 * * [misc]simplify: iters left: 6 (15 enodes) 1545218172.182 * * [misc]simplify: iters left: 5 (21 enodes) 1545218172.185 * * [misc]simplify: iters left: 4 (25 enodes) 1545218172.188 * * [misc]simplify: iters left: 3 (27 enodes) 1545218172.192 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218172.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218172.192 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1545218172.192 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545218172.192 * * [misc]simplify: iters left: 6 (12 enodes) 1545218172.195 * * [misc]simplify: iters left: 5 (20 enodes) 1545218172.197 * * [misc]simplify: iters left: 4 (27 enodes) 1545218172.201 * * [misc]simplify: iters left: 3 (37 enodes) 1545218172.207 * * [misc]simplify: iters left: 2 (64 enodes) 1545218172.217 * * [misc]simplify: iters left: 1 (93 enodes) 1545218172.233 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218172.233 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218172.234 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218172.234 * * [misc]simplify: iters left: 6 (15 enodes) 1545218172.238 * * [misc]simplify: iters left: 5 (21 enodes) 1545218172.243 * * [misc]simplify: iters left: 4 (25 enodes) 1545218172.249 * * [misc]simplify: iters left: 3 (27 enodes) 1545218172.255 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218172.255 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218172.255 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1545218172.256 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545218172.256 * * [misc]simplify: iters left: 6 (13 enodes) 1545218172.259 * * [misc]simplify: iters left: 5 (21 enodes) 1545218172.264 * * [misc]simplify: iters left: 4 (31 enodes) 1545218172.273 * * [misc]simplify: iters left: 3 (51 enodes) 1545218172.288 * * [misc]simplify: iters left: 2 (90 enodes) 1545218172.315 * * [misc]simplify: iters left: 1 (181 enodes) 1545218172.368 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218172.368 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218172.368 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218172.368 * * [misc]simplify: iters left: 6 (12 enodes) 1545218172.370 * * [misc]simplify: iters left: 5 (16 enodes) 1545218172.372 * * [misc]simplify: iters left: 4 (22 enodes) 1545218172.376 * * [misc]simplify: iters left: 3 (24 enodes) 1545218172.380 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545218172.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545218172.380 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1545218172.380 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218172.380 * * [misc]simplify: iters left: 6 (16 enodes) 1545218172.383 * * [misc]simplify: iters left: 5 (29 enodes) 1545218172.388 * * [misc]simplify: iters left: 4 (50 enodes) 1545218172.396 * * [misc]simplify: iters left: 3 (70 enodes) 1545218172.408 * * [misc]simplify: iters left: 2 (169 enodes) 1545218172.466 * [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)))) 1545218172.466 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218172.466 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.466 * * [misc]simplify: iters left: 6 (15 enodes) 1545218172.468 * * [misc]simplify: iters left: 5 (20 enodes) 1545218172.471 * * [misc]simplify: iters left: 4 (26 enodes) 1545218172.474 * * [misc]simplify: iters left: 3 (28 enodes) 1545218172.480 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218172.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218172.480 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1545218172.480 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.481 * * [misc]simplify: iters left: 6 (15 enodes) 1545218172.485 * * [misc]simplify: iters left: 5 (24 enodes) 1545218172.491 * * [misc]simplify: iters left: 4 (34 enodes) 1545218172.501 * * [misc]simplify: iters left: 3 (54 enodes) 1545218172.512 * * [misc]simplify: iters left: 2 (93 enodes) 1545218172.526 * * [misc]simplify: iters left: 1 (182 enodes) 1545218172.582 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545218172.582 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218172.583 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.583 * * [misc]simplify: iters left: 6 (15 enodes) 1545218172.587 * * [misc]simplify: iters left: 5 (20 enodes) 1545218172.593 * * [misc]simplify: iters left: 4 (26 enodes) 1545218172.601 * * [misc]simplify: iters left: 3 (28 enodes) 1545218172.608 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218172.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218172.608 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1545218172.608 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545218172.608 * * [misc]simplify: iters left: 6 (7 enodes) 1545218172.611 * * [misc]simplify: iters left: 5 (13 enodes) 1545218172.615 * * [misc]simplify: iters left: 4 (22 enodes) 1545218172.620 * * [misc]simplify: iters left: 3 (24 enodes) 1545218172.624 * * [misc]simplify: iters left: 2 (29 enodes) 1545218172.631 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1545218172.631 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218172.631 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218172.631 * * [misc]simplify: iters left: 6 (14 enodes) 1545218172.635 * * [misc]simplify: iters left: 5 (19 enodes) 1545218172.642 * * [misc]simplify: iters left: 4 (25 enodes) 1545218172.648 * * [misc]simplify: iters left: 3 (27 enodes) 1545218172.656 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1545218172.656 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218172.656 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1545218172.656 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218172.656 * * [misc]simplify: iters left: 6 (11 enodes) 1545218172.660 * * [misc]simplify: iters left: 5 (17 enodes) 1545218172.664 * * [misc]simplify: iters left: 4 (20 enodes) 1545218172.666 * * [misc]simplify: iters left: 3 (22 enodes) 1545218172.670 * * [misc]simplify: iters left: 2 (34 enodes) 1545218172.674 * * [misc]simplify: iters left: 1 (42 enodes) 1545218172.678 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545218172.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218172.678 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218172.679 * * [misc]simplify: iters left: 6 (15 enodes) 1545218172.681 * * [misc]simplify: iters left: 5 (21 enodes) 1545218172.684 * * [misc]simplify: iters left: 4 (25 enodes) 1545218172.690 * * [misc]simplify: iters left: 3 (27 enodes) 1545218172.696 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218172.696 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218172.696 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1545218172.696 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545218172.697 * * [misc]simplify: iters left: 6 (11 enodes) 1545218172.699 * * [misc]simplify: iters left: 5 (17 enodes) 1545218172.704 * * [misc]simplify: iters left: 4 (20 enodes) 1545218172.708 * * [misc]simplify: iters left: 3 (22 enodes) 1545218172.714 * * [misc]simplify: iters left: 2 (34 enodes) 1545218172.723 * * [misc]simplify: iters left: 1 (42 enodes) 1545218172.731 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545218172.731 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218172.731 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545218172.731 * * [misc]simplify: iters left: 6 (15 enodes) 1545218172.735 * * [misc]simplify: iters left: 5 (21 enodes) 1545218172.741 * * [misc]simplify: iters left: 4 (25 enodes) 1545218172.748 * * [misc]simplify: iters left: 3 (27 enodes) 1545218172.755 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545218172.755 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545218172.755 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1545218172.755 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545218172.756 * * [misc]simplify: iters left: 6 (12 enodes) 1545218172.759 * * [misc]simplify: iters left: 5 (18 enodes) 1545218172.765 * * [misc]simplify: iters left: 4 (24 enodes) 1545218172.772 * * [misc]simplify: iters left: 3 (32 enodes) 1545218172.781 * * [misc]simplify: iters left: 2 (41 enodes) 1545218172.791 * * [misc]simplify: iters left: 1 (51 enodes) 1545218172.803 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545218172.803 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218172.803 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545218172.803 * * [misc]simplify: iters left: 6 (12 enodes) 1545218172.807 * * [misc]simplify: iters left: 5 (16 enodes) 1545218172.812 * * [misc]simplify: iters left: 4 (22 enodes) 1545218172.818 * * [misc]simplify: iters left: 3 (24 enodes) 1545218172.825 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545218172.825 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545218172.825 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1545218172.825 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218172.826 * * [misc]simplify: iters left: 6 (15 enodes) 1545218172.830 * * [misc]simplify: iters left: 5 (24 enodes) 1545218172.836 * * [misc]simplify: iters left: 4 (32 enodes) 1545218172.845 * * [misc]simplify: iters left: 3 (43 enodes) 1545218172.858 * * [misc]simplify: iters left: 2 (69 enodes) 1545218172.880 * * [misc]simplify: iters left: 1 (119 enodes) 1545218172.938 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.938 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218172.938 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.938 * * [misc]simplify: iters left: 6 (15 enodes) 1545218172.943 * * [misc]simplify: iters left: 5 (20 enodes) 1545218172.948 * * [misc]simplify: iters left: 4 (26 enodes) 1545218172.955 * * [misc]simplify: iters left: 3 (28 enodes) 1545218172.962 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218172.962 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218172.962 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1545218172.963 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218172.963 * * [misc]simplify: iters left: 6 (14 enodes) 1545218172.967 * * [misc]simplify: iters left: 5 (21 enodes) 1545218172.972 * * [misc]simplify: iters left: 4 (27 enodes) 1545218172.979 * * [misc]simplify: iters left: 3 (35 enodes) 1545218172.990 * * [misc]simplify: iters left: 2 (43 enodes) 1545218172.999 * * [misc]simplify: iters left: 1 (56 enodes) 1545218173.013 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545218173.013 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218173.014 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218173.014 * * [misc]simplify: iters left: 6 (15 enodes) 1545218173.018 * * [misc]simplify: iters left: 5 (20 enodes) 1545218173.024 * * [misc]simplify: iters left: 4 (26 enodes) 1545218173.031 * * [misc]simplify: iters left: 3 (28 enodes) 1545218173.038 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218173.038 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545218173.038 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1545218173.039 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1545218173.039 * * [misc]simplify: iters left: 6 (6 enodes) 1545218173.041 * * [misc]simplify: iters left: 5 (10 enodes) 1545218173.044 * * [misc]simplify: iters left: 4 (16 enodes) 1545218173.049 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545218173.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.049 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.049 * * [misc]simplify: iters left: 6 (14 enodes) 1545218173.053 * * [misc]simplify: iters left: 5 (19 enodes) 1545218173.059 * * [misc]simplify: iters left: 4 (25 enodes) 1545218173.065 * * [misc]simplify: iters left: 3 (27 enodes) 1545218173.072 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1545218173.072 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218173.072 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1545218173.073 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545218173.073 * * [misc]simplify: iters left: 6 (8 enodes) 1545218173.076 * * [misc]simplify: iters left: 5 (14 enodes) 1545218173.080 * * [misc]simplify: iters left: 4 (15 enodes) 1545218173.084 * * [misc]simplify: iters left: 3 (19 enodes) 1545218173.088 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545218173.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218173.089 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218173.089 * * [misc]simplify: iters left: 6 (14 enodes) 1545218173.093 * * [misc]simplify: iters left: 5 (20 enodes) 1545218173.106 * * [misc]simplify: iters left: 4 (24 enodes) 1545218173.114 * * [misc]simplify: iters left: 3 (26 enodes) 1545218173.121 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218173.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218173.121 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1545218173.122 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545218173.122 * * [misc]simplify: iters left: 6 (8 enodes) 1545218173.125 * * [misc]simplify: iters left: 5 (14 enodes) 1545218173.128 * * [misc]simplify: iters left: 4 (15 enodes) 1545218173.133 * * [misc]simplify: iters left: 3 (19 enodes) 1545218173.137 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545218173.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218173.138 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545218173.138 * * [misc]simplify: iters left: 6 (14 enodes) 1545218173.142 * * [misc]simplify: iters left: 5 (20 enodes) 1545218173.148 * * [misc]simplify: iters left: 4 (24 enodes) 1545218173.155 * * [misc]simplify: iters left: 3 (26 enodes) 1545218173.162 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218173.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218173.162 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1545218173.163 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1545218173.163 * * [misc]simplify: iters left: 6 (10 enodes) 1545218173.167 * * [misc]simplify: iters left: 5 (16 enodes) 1545218173.171 * * [misc]simplify: iters left: 4 (20 enodes) 1545218173.176 * * [misc]simplify: iters left: 3 (24 enodes) 1545218173.182 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545218173.182 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218173.182 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218173.183 * * [misc]simplify: iters left: 6 (11 enodes) 1545218173.186 * * [misc]simplify: iters left: 5 (15 enodes) 1545218173.190 * * [misc]simplify: iters left: 4 (21 enodes) 1545218173.196 * * [misc]simplify: iters left: 3 (23 enodes) 1545218173.202 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545218173.202 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218173.202 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1545218173.202 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.202 * * [misc]simplify: iters left: 6 (13 enodes) 1545218173.207 * * [misc]simplify: iters left: 5 (22 enodes) 1545218173.214 * * [misc]simplify: iters left: 4 (26 enodes) 1545218173.222 * * [misc]simplify: iters left: 3 (32 enodes) 1545218173.229 * * [misc]simplify: iters left: 2 (34 enodes) 1545218173.237 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218173.237 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218173.238 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218173.238 * * [misc]simplify: iters left: 6 (14 enodes) 1545218173.242 * * [misc]simplify: iters left: 5 (19 enodes) 1545218173.247 * * [misc]simplify: iters left: 4 (25 enodes) 1545218173.254 * * [misc]simplify: iters left: 3 (27 enodes) 1545218173.260 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.261 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1545218173.261 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218173.261 * * [misc]simplify: iters left: 6 (12 enodes) 1545218173.265 * * [misc]simplify: iters left: 5 (19 enodes) 1545218173.270 * * [misc]simplify: iters left: 4 (23 enodes) 1545218173.277 * * [misc]simplify: iters left: 3 (27 enodes) 1545218173.283 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1545218173.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218173.283 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218173.283 * * [misc]simplify: iters left: 6 (14 enodes) 1545218173.288 * * [misc]simplify: iters left: 5 (19 enodes) 1545218173.293 * * [misc]simplify: iters left: 4 (25 enodes) 1545218173.300 * * [misc]simplify: iters left: 3 (27 enodes) 1545218173.307 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.307 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.307 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1545218173.307 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1545218173.307 * * [misc]simplify: iters left: 4 (3 enodes) 1545218173.308 * * [misc]simplify: iters left: 3 (5 enodes) 1545218173.309 * [exit]simplify: Simplified to 1 1545218173.309 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.309 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.309 * * [misc]simplify: iters left: 6 (13 enodes) 1545218173.313 * * [misc]simplify: iters left: 5 (18 enodes) 1545218173.318 * * [misc]simplify: iters left: 4 (24 enodes) 1545218173.325 * * [misc]simplify: iters left: 3 (26 enodes) 1545218173.332 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218173.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218173.332 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1545218173.332 * [enter]simplify: Simplifying (/ 1 1) 1545218173.332 * * [misc]simplify: iters left: 2 (2 enodes) 1545218173.333 * * [misc]simplify: iters left: 1 (4 enodes) 1545218173.334 * [exit]simplify: Simplified to 1 1545218173.334 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.334 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.334 * * [misc]simplify: iters left: 6 (13 enodes) 1545218173.338 * * [misc]simplify: iters left: 5 (18 enodes) 1545218173.343 * * [misc]simplify: iters left: 4 (24 enodes) 1545218173.350 * * [misc]simplify: iters left: 3 (26 enodes) 1545218173.357 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545218173.357 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545218173.357 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1545218173.357 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545218173.357 * * [misc]simplify: iters left: 3 (4 enodes) 1545218173.360 * * [misc]simplify: iters left: 2 (6 enodes) 1545218173.361 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545218173.361 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.362 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.362 * * [misc]simplify: iters left: 6 (13 enodes) 1545218173.366 * * [misc]simplify: iters left: 5 (20 enodes) 1545218173.371 * * [misc]simplify: iters left: 4 (26 enodes) 1545218173.379 * * [misc]simplify: iters left: 3 (36 enodes) 1545218173.389 * * [misc]simplify: iters left: 2 (38 enodes) 1545218173.396 * * [misc]simplify: iters left: 1 (43 enodes) 1545218173.405 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545218173.406 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545218173.406 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1545218173.406 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1545218173.406 * * [misc]simplify: iters left: 6 (10 enodes) 1545218173.409 * * [misc]simplify: iters left: 5 (16 enodes) 1545218173.413 * * [misc]simplify: iters left: 4 (19 enodes) 1545218173.418 * * [misc]simplify: iters left: 3 (21 enodes) 1545218173.424 * * [misc]simplify: iters left: 2 (33 enodes) 1545218173.433 * * [misc]simplify: iters left: 1 (41 enodes) 1545218173.441 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1545218173.441 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1545218173.442 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1545218173.442 * * [misc]simplify: iters left: 6 (11 enodes) 1545218173.445 * * [misc]simplify: iters left: 5 (14 enodes) 1545218173.449 * * [misc]simplify: iters left: 4 (17 enodes) 1545218173.454 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1545218173.454 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1545218173.454 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1545218173.454 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1545218173.454 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1545218173.454 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1545218173.454 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.454 * * [misc]simplify: iters left: 6 (11 enodes) 1545218173.457 * * [misc]simplify: iters left: 5 (14 enodes) 1545218173.461 * * [misc]simplify: iters left: 4 (17 enodes) 1545218173.466 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.467 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1545218173.467 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.468 * * [misc]simplify: iters left: 6 (11 enodes) 1545218173.471 * * [misc]simplify: iters left: 5 (14 enodes) 1545218173.475 * * [misc]simplify: iters left: 4 (17 enodes) 1545218173.479 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.480 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1545218173.480 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218173.480 * * [misc]simplify: iters left: 6 (10 enodes) 1545218173.483 * * [misc]simplify: iters left: 5 (13 enodes) 1545218173.487 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218173.487 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218173.487 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1545218173.487 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218173.487 * * [misc]simplify: iters left: 6 (10 enodes) 1545218173.490 * * [misc]simplify: iters left: 5 (13 enodes) 1545218173.494 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218173.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218173.494 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1545218173.494 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218173.494 * * [misc]simplify: iters left: 6 (9 enodes) 1545218173.497 * * [misc]simplify: iters left: 5 (11 enodes) 1545218173.500 * * [misc]simplify: iters left: 4 (14 enodes) 1545218173.504 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218173.504 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545218173.504 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1545218173.504 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.505 * * [misc]simplify: iters left: 6 (12 enodes) 1545218173.509 * * [misc]simplify: iters left: 5 (15 enodes) 1545218173.513 * * [misc]simplify: iters left: 4 (18 enodes) 1545218173.518 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.518 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.519 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1545218173.519 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.519 * * [misc]simplify: iters left: 6 (12 enodes) 1545218173.523 * * [misc]simplify: iters left: 5 (15 enodes) 1545218173.527 * * [misc]simplify: iters left: 4 (18 enodes) 1545218173.532 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.532 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.532 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1545218173.532 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218173.533 * * [misc]simplify: iters left: 6 (11 enodes) 1545218173.536 * * [misc]simplify: iters left: 5 (14 enodes) 1545218173.540 * * [misc]simplify: iters left: 4 (17 enodes) 1545218173.544 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218173.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218173.544 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1545218173.545 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218173.545 * * [misc]simplify: iters left: 6 (10 enodes) 1545218173.548 * * [misc]simplify: iters left: 5 (13 enodes) 1545218173.551 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218173.551 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218173.551 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1545218173.552 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218173.552 * * [misc]simplify: iters left: 6 (10 enodes) 1545218173.555 * * [misc]simplify: iters left: 5 (13 enodes) 1545218173.558 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218173.558 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545218173.558 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1545218173.559 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218173.559 * * [misc]simplify: iters left: 6 (9 enodes) 1545218173.561 * * [misc]simplify: iters left: 5 (11 enodes) 1545218173.565 * * [misc]simplify: iters left: 4 (14 enodes) 1545218173.568 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218173.569 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545218173.569 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1545218173.569 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.569 * * [misc]simplify: iters left: 6 (12 enodes) 1545218173.573 * * [misc]simplify: iters left: 5 (15 enodes) 1545218173.577 * * [misc]simplify: iters left: 4 (18 enodes) 1545218173.582 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.582 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.582 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1545218173.582 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.583 * * [misc]simplify: iters left: 6 (12 enodes) 1545218173.586 * * [misc]simplify: iters left: 5 (15 enodes) 1545218173.590 * * [misc]simplify: iters left: 4 (18 enodes) 1545218173.595 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.595 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1545218173.596 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218173.596 * * [misc]simplify: iters left: 6 (11 enodes) 1545218173.599 * * [misc]simplify: iters left: 5 (14 enodes) 1545218173.603 * * [misc]simplify: iters left: 4 (17 enodes) 1545218173.607 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218173.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218173.607 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1545218173.608 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545218173.608 * * [misc]simplify: iters left: 6 (9 enodes) 1545218173.610 * * [misc]simplify: iters left: 5 (12 enodes) 1545218173.612 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545218173.613 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1545218173.613 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1545218173.613 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545218173.613 * * [misc]simplify: iters left: 6 (9 enodes) 1545218173.614 * * [misc]simplify: iters left: 5 (12 enodes) 1545218173.616 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545218173.616 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1545218173.616 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1545218173.616 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545218173.616 * * [misc]simplify: iters left: 6 (8 enodes) 1545218173.617 * * [misc]simplify: iters left: 5 (10 enodes) 1545218173.619 * * [misc]simplify: iters left: 4 (13 enodes) 1545218173.620 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545218173.621 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545218173.621 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1545218173.621 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.621 * * [misc]simplify: iters left: 6 (11 enodes) 1545218173.622 * * [misc]simplify: iters left: 5 (14 enodes) 1545218173.625 * * [misc]simplify: iters left: 4 (17 enodes) 1545218173.627 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.627 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1545218173.627 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.627 * * [misc]simplify: iters left: 6 (11 enodes) 1545218173.629 * * [misc]simplify: iters left: 5 (14 enodes) 1545218173.631 * * [misc]simplify: iters left: 4 (17 enodes) 1545218173.634 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218173.634 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1545218173.634 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218173.634 * * [misc]simplify: iters left: 6 (10 enodes) 1545218173.636 * * [misc]simplify: iters left: 5 (13 enodes) 1545218173.638 * * [misc]simplify: iters left: 4 (16 enodes) 1545218173.641 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218173.641 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218173.641 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1545218173.641 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218173.641 * * [misc]simplify: iters left: 6 (10 enodes) 1545218173.645 * * [misc]simplify: iters left: 5 (13 enodes) 1545218173.649 * * [misc]simplify: iters left: 4 (16 enodes) 1545218173.653 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218173.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218173.653 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1545218173.654 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1545218173.654 * * [misc]simplify: iters left: 6 (10 enodes) 1545218173.657 * * [misc]simplify: iters left: 5 (15 enodes) 1545218173.661 * * [misc]simplify: iters left: 4 (18 enodes) 1545218173.666 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1545218173.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545218173.666 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1545218173.666 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545218173.666 * * [misc]simplify: iters left: 3 (6 enodes) 1545218173.668 * * [misc]simplify: iters left: 2 (7 enodes) 1545218173.670 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545218173.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1545218173.670 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1545218173.670 * [enter]simplify: Simplifying (pow PI 1/2) 1545218173.670 * * [misc]simplify: iters left: 1 (3 enodes) 1545218173.671 * [exit]simplify: Simplified to (sqrt PI) 1545218173.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1545218173.672 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1545218173.672 * [enter]simplify: Simplifying (pow PI 1/2) 1545218173.672 * * [misc]simplify: iters left: 1 (3 enodes) 1545218173.673 * [exit]simplify: Simplified to (sqrt PI) 1545218173.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1545218173.673 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1545218173.673 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218173.673 * * [misc]simplify: iters left: 6 (9 enodes) 1545218173.676 * * [misc]simplify: iters left: 5 (11 enodes) 1545218173.679 * * [misc]simplify: iters left: 4 (14 enodes) 1545218173.683 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545218173.684 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1545218173.684 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1545218173.684 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545218173.684 * * [misc]simplify: iters left: 6 (8 enodes) 1545218173.686 * * [misc]simplify: iters left: 5 (10 enodes) 1545218173.689 * * [misc]simplify: iters left: 4 (13 enodes) 1545218173.693 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545218173.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1545218173.693 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1545218173.693 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1545218173.693 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545218173.693 * * [misc]simplify: iters left: 5 (8 enodes) 1545218173.696 * * [misc]simplify: iters left: 4 (11 enodes) 1545218173.699 * * [misc]simplify: iters left: 3 (14 enodes) 1545218173.702 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545218173.702 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218173.703 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1545218173.703 * [enter]simplify: Simplifying (pow PI 1/2) 1545218173.703 * * [misc]simplify: iters left: 1 (3 enodes) 1545218173.704 * [exit]simplify: Simplified to (sqrt PI) 1545218173.704 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1545218173.704 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1545218173.704 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1545218173.704 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1545218173.704 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1545218173.704 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545218173.704 * * [misc]simplify: iters left: 6 (12 enodes) 1545218173.709 * * [misc]simplify: iters left: 5 (21 enodes) 1545218173.716 * * [misc]simplify: iters left: 4 (44 enodes) 1545218173.725 * * [misc]simplify: iters left: 3 (133 enodes) 1545218173.760 * * [misc]simplify: iters left: 2 (379 enodes) 1545218173.940 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1545218173.940 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1545218173.940 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1545218173.940 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545218173.941 * * [misc]simplify: iters left: 6 (12 enodes) 1545218173.945 * * [misc]simplify: iters left: 5 (21 enodes) 1545218173.955 * * [misc]simplify: iters left: 4 (44 enodes) 1545218173.973 * * [misc]simplify: iters left: 3 (133 enodes) 1545218174.043 * * [misc]simplify: iters left: 2 (379 enodes) 1545218174.207 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1545218174.207 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1545218174.207 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1545218174.207 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.207 * * [misc]simplify: iters left: 6 (12 enodes) 1545218174.209 * * [misc]simplify: iters left: 5 (19 enodes) 1545218174.212 * * [misc]simplify: iters left: 4 (32 enodes) 1545218174.218 * * [misc]simplify: iters left: 3 (69 enodes) 1545218174.234 * * [misc]simplify: iters left: 2 (208 enodes) 1545218174.321 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1545218174.321 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1545218174.321 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1545218174.321 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1545218174.321 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1545218174.321 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.321 * * [misc]simplify: iters left: 6 (14 enodes) 1545218174.326 * * [misc]simplify: iters left: 5 (26 enodes) 1545218174.336 * * [misc]simplify: iters left: 4 (58 enodes) 1545218174.359 * * [misc]simplify: iters left: 3 (117 enodes) 1545218174.400 * * [misc]simplify: iters left: 2 (193 enodes) 1545218174.461 * * [misc]simplify: iters left: 1 (263 enodes) 1545218174.540 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.540 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.540 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1545218174.540 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1545218174.540 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1545218174.541 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1545218174.541 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1545218174.541 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545218174.541 * * [misc]simplify: iters left: 6 (10 enodes) 1545218174.542 * * [misc]simplify: iters left: 5 (14 enodes) 1545218174.544 * * [misc]simplify: iters left: 4 (16 enodes) 1545218174.546 * * [misc]simplify: iters left: 3 (17 enodes) 1545218174.548 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545218174.549 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218174.549 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218174.549 * * [misc]simplify: iters left: 6 (10 enodes) 1545218174.550 * * [misc]simplify: iters left: 5 (13 enodes) 1545218174.553 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218174.553 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545218174.553 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1545218174.553 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545218174.553 * * [misc]simplify: iters left: 6 (10 enodes) 1545218174.556 * * [misc]simplify: iters left: 5 (14 enodes) 1545218174.560 * * [misc]simplify: iters left: 4 (16 enodes) 1545218174.564 * * [misc]simplify: iters left: 3 (17 enodes) 1545218174.568 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545218174.568 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218174.569 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218174.569 * * [misc]simplify: iters left: 6 (10 enodes) 1545218174.572 * * [misc]simplify: iters left: 5 (13 enodes) 1545218174.576 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218174.576 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545218174.576 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1545218174.576 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545218174.576 * * [misc]simplify: iters left: 6 (11 enodes) 1545218174.580 * * [misc]simplify: iters left: 5 (15 enodes) 1545218174.584 * * [misc]simplify: iters left: 4 (20 enodes) 1545218174.589 * * [misc]simplify: iters left: 3 (21 enodes) 1545218174.595 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545218174.595 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218174.595 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218174.595 * * [misc]simplify: iters left: 6 (9 enodes) 1545218174.598 * * [misc]simplify: iters left: 5 (11 enodes) 1545218174.601 * * [misc]simplify: iters left: 4 (14 enodes) 1545218174.605 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218174.605 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218174.605 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1545218174.606 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218174.606 * * [misc]simplify: iters left: 6 (14 enodes) 1545218174.610 * * [misc]simplify: iters left: 5 (23 enodes) 1545218174.617 * * [misc]simplify: iters left: 4 (35 enodes) 1545218174.629 * * [misc]simplify: iters left: 3 (38 enodes) 1545218174.638 * * [misc]simplify: iters left: 2 (41 enodes) 1545218174.649 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218174.649 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.650 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.650 * * [misc]simplify: iters left: 6 (12 enodes) 1545218174.653 * * [misc]simplify: iters left: 5 (15 enodes) 1545218174.657 * * [misc]simplify: iters left: 4 (18 enodes) 1545218174.662 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.662 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.662 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1545218174.663 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.663 * * [misc]simplify: iters left: 6 (13 enodes) 1545218174.667 * * [misc]simplify: iters left: 5 (18 enodes) 1545218174.672 * * [misc]simplify: iters left: 4 (23 enodes) 1545218174.678 * * [misc]simplify: iters left: 3 (24 enodes) 1545218174.684 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.684 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.684 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.684 * * [misc]simplify: iters left: 6 (12 enodes) 1545218174.688 * * [misc]simplify: iters left: 5 (15 enodes) 1545218174.692 * * [misc]simplify: iters left: 4 (18 enodes) 1545218174.696 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.696 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.697 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1545218174.697 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545218174.697 * * [misc]simplify: iters left: 6 (6 enodes) 1545218174.699 * * [misc]simplify: iters left: 5 (10 enodes) 1545218174.702 * * [misc]simplify: iters left: 4 (16 enodes) 1545218174.706 * * [misc]simplify: iters left: 3 (18 enodes) 1545218174.709 * * [misc]simplify: iters left: 2 (23 enodes) 1545218174.714 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545218174.714 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218174.714 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.715 * * [misc]simplify: iters left: 6 (11 enodes) 1545218174.718 * * [misc]simplify: iters left: 5 (14 enodes) 1545218174.721 * * [misc]simplify: iters left: 4 (17 enodes) 1545218174.726 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.726 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218174.726 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1545218174.726 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545218174.726 * * [misc]simplify: iters left: 5 (9 enodes) 1545218174.729 * * [misc]simplify: iters left: 4 (11 enodes) 1545218174.732 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545218174.732 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218174.732 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218174.733 * * [misc]simplify: iters left: 6 (10 enodes) 1545218174.736 * * [misc]simplify: iters left: 5 (13 enodes) 1545218174.739 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218174.739 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545218174.739 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1545218174.740 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545218174.740 * * [misc]simplify: iters left: 5 (9 enodes) 1545218174.742 * * [misc]simplify: iters left: 4 (11 enodes) 1545218174.745 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545218174.745 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545218174.746 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545218174.746 * * [misc]simplify: iters left: 6 (10 enodes) 1545218174.749 * * [misc]simplify: iters left: 5 (13 enodes) 1545218174.752 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545218174.752 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545218174.753 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1545218174.753 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545218174.753 * * [misc]simplify: iters left: 6 (10 enodes) 1545218174.756 * * [misc]simplify: iters left: 5 (12 enodes) 1545218174.759 * * [misc]simplify: iters left: 4 (15 enodes) 1545218174.765 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545218174.765 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218174.765 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218174.765 * * [misc]simplify: iters left: 6 (9 enodes) 1545218174.768 * * [misc]simplify: iters left: 5 (11 enodes) 1545218174.771 * * [misc]simplify: iters left: 4 (14 enodes) 1545218174.774 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545218174.774 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545218174.774 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1545218174.775 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218174.775 * * [misc]simplify: iters left: 6 (13 enodes) 1545218174.779 * * [misc]simplify: iters left: 5 (18 enodes) 1545218174.784 * * [misc]simplify: iters left: 4 (21 enodes) 1545218174.789 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218174.789 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.789 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.789 * * [misc]simplify: iters left: 6 (12 enodes) 1545218174.793 * * [misc]simplify: iters left: 5 (15 enodes) 1545218174.797 * * [misc]simplify: iters left: 4 (18 enodes) 1545218174.802 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.802 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.802 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1545218174.803 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.803 * * [misc]simplify: iters left: 6 (12 enodes) 1545218174.806 * * [misc]simplify: iters left: 5 (15 enodes) 1545218174.811 * * [misc]simplify: iters left: 4 (18 enodes) 1545218174.816 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.816 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.816 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.816 * * [misc]simplify: iters left: 6 (12 enodes) 1545218174.820 * * [misc]simplify: iters left: 5 (15 enodes) 1545218174.824 * * [misc]simplify: iters left: 4 (18 enodes) 1545218174.829 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.829 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.829 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1545218174.830 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545218174.830 * * [misc]simplify: iters left: 4 (5 enodes) 1545218174.831 * * [misc]simplify: iters left: 3 (7 enodes) 1545218174.834 * * [misc]simplify: iters left: 2 (9 enodes) 1545218174.836 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545218174.836 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218174.836 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.837 * * [misc]simplify: iters left: 6 (11 enodes) 1545218174.840 * * [misc]simplify: iters left: 5 (14 enodes) 1545218174.844 * * [misc]simplify: iters left: 4 (17 enodes) 1545218174.848 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.849 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218174.849 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1545218174.849 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545218174.849 * * [misc]simplify: iters left: 5 (7 enodes) 1545218174.851 * * [misc]simplify: iters left: 4 (11 enodes) 1545218174.854 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545218174.854 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218174.854 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545218174.854 * * [misc]simplify: iters left: 6 (9 enodes) 1545218174.856 * * [misc]simplify: iters left: 5 (12 enodes) 1545218174.858 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545218174.858 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545218174.858 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1545218174.858 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545218174.858 * * [misc]simplify: iters left: 5 (7 enodes) 1545218174.860 * * [misc]simplify: iters left: 4 (11 enodes) 1545218174.861 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545218174.861 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545218174.861 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545218174.861 * * [misc]simplify: iters left: 6 (9 enodes) 1545218174.863 * * [misc]simplify: iters left: 5 (12 enodes) 1545218174.864 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545218174.864 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545218174.864 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1545218174.865 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1545218174.865 * * [misc]simplify: iters left: 6 (9 enodes) 1545218174.866 * * [misc]simplify: iters left: 5 (13 enodes) 1545218174.868 * * [misc]simplify: iters left: 4 (16 enodes) 1545218174.870 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1545218174.870 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218174.870 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545218174.870 * * [misc]simplify: iters left: 6 (8 enodes) 1545218174.871 * * [misc]simplify: iters left: 5 (10 enodes) 1545218174.873 * * [misc]simplify: iters left: 4 (13 enodes) 1545218174.875 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545218174.875 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545218174.875 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1545218174.875 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218174.875 * * [misc]simplify: iters left: 6 (12 enodes) 1545218174.877 * * [misc]simplify: iters left: 5 (19 enodes) 1545218174.879 * * [misc]simplify: iters left: 4 (22 enodes) 1545218174.883 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218174.883 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.883 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.883 * * [misc]simplify: iters left: 6 (11 enodes) 1545218174.884 * * [misc]simplify: iters left: 5 (14 enodes) 1545218174.887 * * [misc]simplify: iters left: 4 (17 enodes) 1545218174.889 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.890 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.890 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1545218174.890 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.890 * * [misc]simplify: iters left: 6 (11 enodes) 1545218174.892 * * [misc]simplify: iters left: 5 (16 enodes) 1545218174.894 * * [misc]simplify: iters left: 4 (19 enodes) 1545218174.896 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545218174.896 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.896 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.896 * * [misc]simplify: iters left: 6 (11 enodes) 1545218174.898 * * [misc]simplify: iters left: 5 (14 enodes) 1545218174.900 * * [misc]simplify: iters left: 4 (17 enodes) 1545218174.902 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545218174.902 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545218174.902 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1545218174.903 * [enter]simplify: Simplifying (/ 1 1) 1545218174.903 * * [misc]simplify: iters left: 2 (2 enodes) 1545218174.903 * * [misc]simplify: iters left: 1 (4 enodes) 1545218174.903 * [exit]simplify: Simplified to 1 1545218174.903 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218174.903 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.904 * * [misc]simplify: iters left: 6 (10 enodes) 1545218174.905 * * [misc]simplify: iters left: 5 (13 enodes) 1545218174.907 * * [misc]simplify: iters left: 4 (16 enodes) 1545218174.909 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.909 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218174.909 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1545218174.909 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1545218174.909 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1545218174.909 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1545218174.909 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545218174.909 * * [misc]simplify: iters left: 5 (7 enodes) 1545218174.910 * * [misc]simplify: iters left: 4 (10 enodes) 1545218174.912 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545218174.912 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1545218174.912 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1545218174.912 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545218174.912 * * [misc]simplify: iters left: 5 (7 enodes) 1545218174.913 * * [misc]simplify: iters left: 4 (10 enodes) 1545218174.914 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545218174.914 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1545218174.914 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1545218174.915 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545218174.915 * * [misc]simplify: iters left: 5 (6 enodes) 1545218174.916 * * [misc]simplify: iters left: 4 (8 enodes) 1545218174.917 * * [misc]simplify: iters left: 3 (11 enodes) 1545218174.918 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545218174.918 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1545218174.918 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1545218174.918 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.919 * * [misc]simplify: iters left: 6 (9 enodes) 1545218174.920 * * [misc]simplify: iters left: 5 (12 enodes) 1545218174.921 * * [misc]simplify: iters left: 4 (15 enodes) 1545218174.923 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.924 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218174.924 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1545218174.924 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.924 * * [misc]simplify: iters left: 6 (9 enodes) 1545218174.925 * * [misc]simplify: iters left: 5 (12 enodes) 1545218174.927 * * [misc]simplify: iters left: 4 (15 enodes) 1545218174.929 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545218174.929 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545218174.929 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1545218174.929 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545218174.929 * * [misc]simplify: iters left: 5 (8 enodes) 1545218174.930 * * [misc]simplify: iters left: 4 (11 enodes) 1545218174.932 * * [misc]simplify: iters left: 3 (14 enodes) 1545218174.934 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545218174.934 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218174.934 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1545218174.934 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545218174.934 * * [misc]simplify: iters left: 4 (4 enodes) 1545218174.935 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545218174.935 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545218174.935 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1545218174.935 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545218174.935 * * [misc]simplify: iters left: 2 (3 enodes) 1545218174.935 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545218174.935 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545218174.935 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1545218174.935 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1545218174.936 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545218174.936 * * [misc]simplify: iters left: 3 (6 enodes) 1545218174.936 * * [misc]simplify: iters left: 2 (7 enodes) 1545218174.937 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545218174.937 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1545218174.937 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1545218174.938 * [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)))) 1545218174.938 * * [misc]simplify: iters left: 6 (18 enodes) 1545218174.942 * * [misc]simplify: iters left: 5 (39 enodes) 1545218174.956 * * [misc]simplify: iters left: 4 (110 enodes) 1545218175.006 * * [misc]simplify: iters left: 3 (321 enodes) 1545218175.218 * [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))) 1545218175.218 * [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))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218175.218 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1545218175.218 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545218175.218 * * [misc]simplify: iters left: 5 (6 enodes) 1545218175.219 * * [misc]simplify: iters left: 4 (9 enodes) 1545218175.221 * * [misc]simplify: iters left: 3 (17 enodes) 1545218175.223 * * [misc]simplify: iters left: 2 (24 enodes) 1545218175.226 * * [misc]simplify: iters left: 1 (28 enodes) 1545218175.232 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545218175.232 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218175.232 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1545218175.233 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545218175.233 * * [misc]simplify: iters left: 5 (6 enodes) 1545218175.234 * * [misc]simplify: iters left: 4 (9 enodes) 1545218175.236 * * [misc]simplify: iters left: 3 (17 enodes) 1545218175.238 * * [misc]simplify: iters left: 2 (24 enodes) 1545218175.240 * * [misc]simplify: iters left: 1 (28 enodes) 1545218175.250 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545218175.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545218175.250 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1545218175.250 * [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))))) 1545218175.251 * * [misc]simplify: iters left: 6 (35 enodes) 1545218175.266 * * [misc]simplify: iters left: 5 (102 enodes) 1545218175.314 * * [misc]simplify: iters left: 4 (321 enodes) 1545218175.532 * [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)))))) 1545218175.532 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (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))))))))) 1545218175.532 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1545218175.533 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545218175.533 * * [misc]simplify: iters left: 6 (13 enodes) 1545218175.538 * * [misc]simplify: iters left: 5 (27 enodes) 1545218175.543 * * [misc]simplify: iters left: 4 (53 enodes) 1545218175.552 * * [misc]simplify: iters left: 3 (124 enodes) 1545218175.589 * * [misc]simplify: iters left: 2 (394 enodes) 1545218175.984 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545218175.985 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1545218175.986 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1545218175.986 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545218175.986 * * [misc]simplify: iters left: 6 (13 enodes) 1545218175.989 * * [misc]simplify: iters left: 5 (24 enodes) 1545218175.994 * * [misc]simplify: iters left: 4 (54 enodes) 1545218176.007 * * [misc]simplify: iters left: 3 (151 enodes) 1545218176.058 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545218176.058 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1545218176.058 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1545218176.058 * [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))))))))))))))) 1545218176.058 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218176.058 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1545218176.058 * [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)))))))) 1545218176.058 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218176.058 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1545218176.058 * [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)))))))) 1545218176.058 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545218176.058 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1545218176.059 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545218176.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545218176.059 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1545218176.059 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545218176.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545218176.059 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1545218176.059 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545218176.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545218176.059 * * * [misc]progress: adding candidates to table 1545218180.012 * [misc]progress: [Phase 3 of 3] Extracting. 1545218180.012 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1545218180.013 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545218180.013 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1545218180.057 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1545218180.120 * * * [misc]regime: Found split indices: #