1546424354.971 * [misc]progress: [Phase 1 of 3] Setting up. 1546424354.971 * * * [misc]progress: [1/2] Preparing points 1546424354.971 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1546424355.034 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.035 * * * * [misc]points: Sampling 188 additional inputs, on iter 1 have 68 / 256 1546424355.083 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.083 * * * * [misc]points: Sampling 143 additional inputs, on iter 2 have 113 / 256 1546424355.145 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.146 * * * * [misc]points: Sampling 109 additional inputs, on iter 3 have 147 / 256 1546424355.178 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.178 * * * * [misc]points: Sampling 84 additional inputs, on iter 4 have 172 / 256 1546424355.205 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.205 * * * * [misc]points: Sampling 62 additional inputs, on iter 5 have 194 / 256 1546424355.224 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.224 * * * * [misc]points: Sampling 48 additional inputs, on iter 6 have 208 / 256 1546424355.242 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.242 * * * * [misc]points: Sampling 42 additional inputs, on iter 7 have 214 / 256 1546424355.258 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.258 * * * * [misc]points: Sampling 31 additional inputs, on iter 8 have 225 / 256 1546424355.272 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.272 * * * * [misc]points: Sampling 25 additional inputs, on iter 9 have 231 / 256 1546424355.285 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.285 * * * * [misc]points: Sampling 17 additional inputs, on iter 10 have 239 / 256 1546424355.294 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.294 * * * * [misc]points: Sampling 17 additional inputs, on iter 11 have 239 / 256 1546424355.304 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.304 * * * * [misc]points: Sampling 14 additional inputs, on iter 12 have 242 / 256 1546424355.314 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.314 * * * * [misc]points: Sampling 10 additional inputs, on iter 13 have 246 / 256 1546424355.322 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.322 * * * * [misc]points: Sampling 9 additional inputs, on iter 14 have 247 / 256 1546424355.360 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.360 * * * * [misc]points: Sampling 8 additional inputs, on iter 15 have 248 / 256 1546424355.369 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.369 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1546424355.382 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.382 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 1546424355.389 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.390 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 253 / 256 1546424355.397 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.397 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1546424355.404 * * * * [misc]points: Filtering points with unrepresentable outputs 1546424355.404 * * * * [exit]points: Sampled 256 points with exact outputs 1546424355.404 * * * [misc]progress: [2/2] Setting up program. 1546424355.410 * [misc]progress: [Phase 2 of 3] Improving. 1546424355.410 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1546424355.411 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1546424355.411 * * [misc]simplify: iters left: 6 (13 enodes) 1546424355.417 * * [misc]simplify: iters left: 5 (28 enodes) 1546424355.425 * * [misc]simplify: iters left: 4 (44 enodes) 1546424355.438 * * [misc]simplify: iters left: 3 (54 enodes) 1546424355.450 * * [misc]simplify: iters left: 2 (57 enodes) 1546424355.462 * * [misc]simplify: iters left: 1 (65 enodes) 1546424355.478 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546424355.478 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546424355.490 * * [misc]progress: iteration 1 / 4 1546424355.490 * * * [misc]progress: picking best candidate 1546424355.501 * * * * [misc]pick: Picked # 1546424355.501 * * * [misc]progress: localizing error 1546424355.558 * * * [misc]progress: generating rewritten candidates 1546424355.559 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1546424355.562 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1546424355.564 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1546424355.575 * * * [misc]progress: generating series expansions 1546424355.576 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1546424355.576 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546424355.576 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546424355.576 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546424355.576 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546424355.576 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546424355.576 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424355.576 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.576 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424355.576 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.576 * [misc]taylor: Taking taylor expansion of k in k 1546424355.576 * [misc]backup-simplify: Simplify 0 into 0 1546424355.576 * [misc]backup-simplify: Simplify 1 into 1 1546424355.576 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546424355.576 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546424355.576 * [misc]taylor: Taking taylor expansion of 2 in k 1546424355.576 * [misc]backup-simplify: Simplify 2 into 2 1546424355.576 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546424355.576 * [misc]taylor: Taking taylor expansion of n in k 1546424355.576 * [misc]backup-simplify: Simplify n into n 1546424355.576 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.576 * [misc]backup-simplify: Simplify PI into PI 1546424355.576 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546424355.577 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546424355.577 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546424355.577 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424355.577 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.577 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424355.577 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546424355.578 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546424355.578 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546424355.578 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546424355.578 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546424355.578 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424355.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.578 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424355.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.578 * [misc]taylor: Taking taylor expansion of k in n 1546424355.578 * [misc]backup-simplify: Simplify k into k 1546424355.578 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424355.578 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424355.578 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.578 * [misc]backup-simplify: Simplify 2 into 2 1546424355.578 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424355.578 * [misc]taylor: Taking taylor expansion of n in n 1546424355.578 * [misc]backup-simplify: Simplify 0 into 0 1546424355.578 * [misc]backup-simplify: Simplify 1 into 1 1546424355.578 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.578 * [misc]backup-simplify: Simplify PI into PI 1546424355.579 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424355.579 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424355.580 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424355.581 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424355.581 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.581 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424355.581 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424355.582 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424355.582 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.583 * [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)))) 1546424355.583 * [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))))) 1546424355.583 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546424355.584 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546424355.584 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546424355.584 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424355.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.584 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424355.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.584 * [misc]taylor: Taking taylor expansion of k in n 1546424355.584 * [misc]backup-simplify: Simplify k into k 1546424355.584 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424355.584 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424355.584 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.584 * [misc]backup-simplify: Simplify 2 into 2 1546424355.584 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424355.584 * [misc]taylor: Taking taylor expansion of n in n 1546424355.584 * [misc]backup-simplify: Simplify 0 into 0 1546424355.584 * [misc]backup-simplify: Simplify 1 into 1 1546424355.584 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.584 * [misc]backup-simplify: Simplify PI into PI 1546424355.584 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424355.585 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424355.585 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424355.586 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424355.586 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.586 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424355.587 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424355.587 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424355.587 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.588 * [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)))) 1546424355.589 * [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))))) 1546424355.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546424355.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546424355.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424355.589 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.589 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424355.589 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.589 * [misc]taylor: Taking taylor expansion of k in k 1546424355.589 * [misc]backup-simplify: Simplify 0 into 0 1546424355.589 * [misc]backup-simplify: Simplify 1 into 1 1546424355.589 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546424355.589 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424355.589 * [misc]taylor: Taking taylor expansion of n in k 1546424355.589 * [misc]backup-simplify: Simplify n into n 1546424355.589 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424355.589 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546424355.589 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546424355.589 * [misc]taylor: Taking taylor expansion of 2 in k 1546424355.589 * [misc]backup-simplify: Simplify 2 into 2 1546424355.589 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.589 * [misc]backup-simplify: Simplify PI into PI 1546424355.590 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.590 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.590 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424355.591 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.591 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424355.591 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.592 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546424355.592 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546424355.593 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546424355.594 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424355.595 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546424355.598 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424355.599 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546424355.599 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.599 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.600 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.600 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546424355.602 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424355.602 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.602 * [misc]backup-simplify: Simplify 0 into 0 1546424355.602 * [misc]backup-simplify: Simplify 0 into 0 1546424355.603 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546424355.604 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424355.606 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424355.607 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.607 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424355.607 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424355.607 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424355.608 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546424355.610 * [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))))))) 1546424355.611 * [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))))))) 1546424355.613 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424355.615 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546424355.620 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546424355.620 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546424355.620 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.620 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.621 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.622 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546424355.624 * [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 1546424355.624 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.624 * [misc]backup-simplify: Simplify 0 into 0 1546424355.624 * [misc]backup-simplify: Simplify 0 into 0 1546424355.625 * [misc]backup-simplify: Simplify 0 into 0 1546424355.626 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546424355.627 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424355.632 * [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 1546424355.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.633 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424355.633 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.633 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.634 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546424355.637 * [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))))) 1546424355.639 * [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))))) 1546424355.644 * [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))))) 1546424355.644 * [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)))) 1546424355.644 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546424355.644 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424355.644 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546424355.644 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546424355.644 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424355.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.644 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424355.645 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.645 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.645 * [misc]taylor: Taking taylor expansion of k in k 1546424355.645 * [misc]backup-simplify: Simplify 0 into 0 1546424355.645 * [misc]backup-simplify: Simplify 1 into 1 1546424355.645 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.645 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546424355.645 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546424355.645 * [misc]taylor: Taking taylor expansion of 2 in k 1546424355.645 * [misc]backup-simplify: Simplify 2 into 2 1546424355.645 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424355.645 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.645 * [misc]backup-simplify: Simplify PI into PI 1546424355.645 * [misc]taylor: Taking taylor expansion of n in k 1546424355.645 * [misc]backup-simplify: Simplify n into n 1546424355.645 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424355.645 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546424355.645 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546424355.645 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424355.645 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424355.645 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424355.645 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546424355.646 * [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)))) 1546424355.646 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424355.646 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424355.646 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424355.646 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424355.646 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.646 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424355.646 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.646 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.646 * [misc]taylor: Taking taylor expansion of k in n 1546424355.646 * [misc]backup-simplify: Simplify k into k 1546424355.646 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.646 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424355.646 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424355.646 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.646 * [misc]backup-simplify: Simplify 2 into 2 1546424355.646 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.646 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.646 * [misc]backup-simplify: Simplify PI into PI 1546424355.646 * [misc]taylor: Taking taylor expansion of n in n 1546424355.646 * [misc]backup-simplify: Simplify 0 into 0 1546424355.646 * [misc]backup-simplify: Simplify 1 into 1 1546424355.646 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.646 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.647 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.647 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424355.647 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424355.647 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424355.647 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.648 * [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))) 1546424355.648 * [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)))) 1546424355.648 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424355.648 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424355.648 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424355.648 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424355.648 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.648 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424355.648 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.648 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.648 * [misc]taylor: Taking taylor expansion of k in n 1546424355.648 * [misc]backup-simplify: Simplify k into k 1546424355.648 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.648 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424355.648 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424355.648 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.648 * [misc]backup-simplify: Simplify 2 into 2 1546424355.648 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.648 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.648 * [misc]backup-simplify: Simplify PI into PI 1546424355.648 * [misc]taylor: Taking taylor expansion of n in n 1546424355.648 * [misc]backup-simplify: Simplify 0 into 0 1546424355.648 * [misc]backup-simplify: Simplify 1 into 1 1546424355.649 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.649 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.649 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.649 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424355.649 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424355.649 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424355.650 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.650 * [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))) 1546424355.651 * [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)))) 1546424355.651 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546424355.651 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546424355.651 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424355.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.651 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424355.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.651 * [misc]taylor: Taking taylor expansion of k in k 1546424355.651 * [misc]backup-simplify: Simplify 0 into 0 1546424355.651 * [misc]backup-simplify: Simplify 1 into 1 1546424355.651 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.651 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546424355.651 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546424355.651 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546424355.651 * [misc]taylor: Taking taylor expansion of 2 in k 1546424355.651 * [misc]backup-simplify: Simplify 2 into 2 1546424355.651 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.651 * [misc]backup-simplify: Simplify PI into PI 1546424355.651 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.652 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.652 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424355.652 * [misc]taylor: Taking taylor expansion of n in k 1546424355.652 * [misc]backup-simplify: Simplify n into n 1546424355.652 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424355.652 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424355.652 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424355.652 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424355.652 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424355.652 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546424355.653 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546424355.653 * [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)))) 1546424355.654 * [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)))) 1546424355.654 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424355.655 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424355.656 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424355.656 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424355.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424355.657 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.657 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.658 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546424355.659 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424355.659 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.659 * [misc]backup-simplify: Simplify 0 into 0 1546424355.659 * [misc]backup-simplify: Simplify 0 into 0 1546424355.659 * [misc]backup-simplify: Simplify 0 into 0 1546424355.660 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.660 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424355.663 * [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 1546424355.663 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424355.663 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424355.664 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.664 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.665 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546424355.666 * [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 1546424355.666 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.666 * [misc]backup-simplify: Simplify 0 into 0 1546424355.666 * [misc]backup-simplify: Simplify 0 into 0 1546424355.666 * [misc]backup-simplify: Simplify 0 into 0 1546424355.666 * [misc]backup-simplify: Simplify 0 into 0 1546424355.667 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.668 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424355.677 * [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 1546424355.677 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424355.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546424355.678 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.678 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.679 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546424355.681 * [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 1546424355.681 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.681 * [misc]backup-simplify: Simplify 0 into 0 1546424355.681 * [misc]backup-simplify: Simplify 0 into 0 1546424355.682 * [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))))) 1546424355.682 * [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)) 1546424355.682 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546424355.682 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424355.682 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546424355.682 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546424355.682 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424355.682 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424355.682 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.682 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.682 * [misc]taylor: Taking taylor expansion of k in k 1546424355.682 * [misc]backup-simplify: Simplify 0 into 0 1546424355.682 * [misc]backup-simplify: Simplify 1 into 1 1546424355.682 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.682 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.682 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546424355.682 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546424355.682 * [misc]taylor: Taking taylor expansion of -2 in k 1546424355.682 * [misc]backup-simplify: Simplify -2 into -2 1546424355.682 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424355.682 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.682 * [misc]backup-simplify: Simplify PI into PI 1546424355.682 * [misc]taylor: Taking taylor expansion of n in k 1546424355.682 * [misc]backup-simplify: Simplify n into n 1546424355.683 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424355.683 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546424355.683 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546424355.683 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424355.683 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424355.683 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546424355.683 * [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))) 1546424355.683 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424355.683 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546424355.683 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546424355.683 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424355.683 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424355.683 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.683 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.683 * [misc]taylor: Taking taylor expansion of k in n 1546424355.683 * [misc]backup-simplify: Simplify k into k 1546424355.683 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.683 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.683 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424355.683 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424355.683 * [misc]taylor: Taking taylor expansion of -2 in n 1546424355.683 * [misc]backup-simplify: Simplify -2 into -2 1546424355.683 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.683 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.683 * [misc]backup-simplify: Simplify PI into PI 1546424355.683 * [misc]taylor: Taking taylor expansion of n in n 1546424355.683 * [misc]backup-simplify: Simplify 0 into 0 1546424355.683 * [misc]backup-simplify: Simplify 1 into 1 1546424355.684 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.684 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424355.684 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424355.684 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424355.684 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424355.685 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424355.685 * [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))) 1546424355.685 * [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)))) 1546424355.686 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424355.686 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546424355.686 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546424355.686 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424355.686 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424355.686 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.686 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.686 * [misc]taylor: Taking taylor expansion of k in n 1546424355.686 * [misc]backup-simplify: Simplify k into k 1546424355.686 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.686 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.686 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424355.686 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424355.686 * [misc]taylor: Taking taylor expansion of -2 in n 1546424355.686 * [misc]backup-simplify: Simplify -2 into -2 1546424355.686 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.686 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.686 * [misc]backup-simplify: Simplify PI into PI 1546424355.686 * [misc]taylor: Taking taylor expansion of n in n 1546424355.686 * [misc]backup-simplify: Simplify 0 into 0 1546424355.686 * [misc]backup-simplify: Simplify 1 into 1 1546424355.686 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.686 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424355.687 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424355.687 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424355.687 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424355.687 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424355.687 * [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))) 1546424355.688 * [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)))) 1546424355.688 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546424355.688 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546424355.688 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424355.688 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424355.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.688 * [misc]taylor: Taking taylor expansion of k in k 1546424355.688 * [misc]backup-simplify: Simplify 0 into 0 1546424355.688 * [misc]backup-simplify: Simplify 1 into 1 1546424355.688 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.688 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546424355.688 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546424355.688 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546424355.688 * [misc]taylor: Taking taylor expansion of -2 in k 1546424355.688 * [misc]backup-simplify: Simplify -2 into -2 1546424355.688 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.688 * [misc]backup-simplify: Simplify PI into PI 1546424355.689 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424355.689 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424355.689 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424355.689 * [misc]taylor: Taking taylor expansion of n in k 1546424355.689 * [misc]backup-simplify: Simplify n into n 1546424355.689 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424355.689 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424355.689 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424355.689 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424355.689 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546424355.690 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546424355.690 * [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)))) 1546424355.691 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546424355.691 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424355.692 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546424355.693 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546424355.693 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424355.693 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424355.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.694 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424355.694 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546424355.695 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424355.695 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.695 * [misc]backup-simplify: Simplify 0 into 0 1546424355.695 * [misc]backup-simplify: Simplify 0 into 0 1546424355.695 * [misc]backup-simplify: Simplify 0 into 0 1546424355.696 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.697 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424355.701 * [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 1546424355.701 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424355.701 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424355.701 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.701 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424355.702 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546424355.703 * [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 1546424355.703 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.703 * [misc]backup-simplify: Simplify 0 into 0 1546424355.703 * [misc]backup-simplify: Simplify 0 into 0 1546424355.703 * [misc]backup-simplify: Simplify 0 into 0 1546424355.704 * [misc]backup-simplify: Simplify 0 into 0 1546424355.705 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.706 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424355.710 * [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 1546424355.710 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424355.710 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546424355.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.711 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424355.712 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546424355.714 * [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 1546424355.714 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.714 * [misc]backup-simplify: Simplify 0 into 0 1546424355.714 * [misc]backup-simplify: Simplify 0 into 0 1546424355.714 * [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))))) 1546424355.715 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1546424355.715 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546424355.715 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546424355.715 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424355.715 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.715 * [misc]backup-simplify: Simplify 2 into 2 1546424355.715 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424355.715 * [misc]taylor: Taking taylor expansion of n in n 1546424355.715 * [misc]backup-simplify: Simplify 0 into 0 1546424355.715 * [misc]backup-simplify: Simplify 1 into 1 1546424355.715 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.715 * [misc]backup-simplify: Simplify PI into PI 1546424355.715 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424355.715 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.715 * [misc]backup-simplify: Simplify 2 into 2 1546424355.715 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424355.715 * [misc]taylor: Taking taylor expansion of n in n 1546424355.715 * [misc]backup-simplify: Simplify 0 into 0 1546424355.715 * [misc]backup-simplify: Simplify 1 into 1 1546424355.715 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.715 * [misc]backup-simplify: Simplify PI into PI 1546424355.715 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424355.715 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424355.715 * [misc]backup-simplify: Simplify 0 into 0 1546424355.716 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424355.717 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424355.717 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.718 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424355.719 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546424355.719 * [misc]backup-simplify: Simplify 0 into 0 1546424355.721 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424355.722 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546424355.722 * [misc]backup-simplify: Simplify 0 into 0 1546424355.724 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546424355.726 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546424355.726 * [misc]backup-simplify: Simplify 0 into 0 1546424355.729 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546424355.732 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546424355.732 * [misc]backup-simplify: Simplify 0 into 0 1546424355.735 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546424355.739 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546424355.739 * [misc]backup-simplify: Simplify 0 into 0 1546424355.743 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546424355.747 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546424355.747 * [misc]backup-simplify: Simplify 0 into 0 1546424355.747 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546424355.747 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546424355.747 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546424355.748 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424355.748 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.748 * [misc]backup-simplify: Simplify 2 into 2 1546424355.748 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.748 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.748 * [misc]backup-simplify: Simplify PI into PI 1546424355.748 * [misc]taylor: Taking taylor expansion of n in n 1546424355.748 * [misc]backup-simplify: Simplify 0 into 0 1546424355.748 * [misc]backup-simplify: Simplify 1 into 1 1546424355.748 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.748 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424355.748 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.748 * [misc]backup-simplify: Simplify 2 into 2 1546424355.748 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.748 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.748 * [misc]backup-simplify: Simplify PI into PI 1546424355.748 * [misc]taylor: Taking taylor expansion of n in n 1546424355.748 * [misc]backup-simplify: Simplify 0 into 0 1546424355.748 * [misc]backup-simplify: Simplify 1 into 1 1546424355.749 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.749 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.749 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.751 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424355.751 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424355.751 * [misc]backup-simplify: Simplify 0 into 0 1546424355.753 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.754 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424355.754 * [misc]backup-simplify: Simplify 0 into 0 1546424355.756 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.757 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424355.757 * [misc]backup-simplify: Simplify 0 into 0 1546424355.759 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.761 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546424355.761 * [misc]backup-simplify: Simplify 0 into 0 1546424355.764 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.766 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546424355.766 * [misc]backup-simplify: Simplify 0 into 0 1546424355.769 * [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 1546424355.772 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546424355.772 * [misc]backup-simplify: Simplify 0 into 0 1546424355.773 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546424355.773 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546424355.773 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546424355.773 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424355.773 * [misc]taylor: Taking taylor expansion of -2 in n 1546424355.773 * [misc]backup-simplify: Simplify -2 into -2 1546424355.773 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.773 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.773 * [misc]backup-simplify: Simplify PI into PI 1546424355.773 * [misc]taylor: Taking taylor expansion of n in n 1546424355.773 * [misc]backup-simplify: Simplify 0 into 0 1546424355.773 * [misc]backup-simplify: Simplify 1 into 1 1546424355.774 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.774 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424355.774 * [misc]taylor: Taking taylor expansion of -2 in n 1546424355.774 * [misc]backup-simplify: Simplify -2 into -2 1546424355.774 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.774 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.774 * [misc]backup-simplify: Simplify PI into PI 1546424355.774 * [misc]taylor: Taking taylor expansion of n in n 1546424355.774 * [misc]backup-simplify: Simplify 0 into 0 1546424355.774 * [misc]backup-simplify: Simplify 1 into 1 1546424355.774 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.775 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424355.775 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424355.776 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424355.777 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546424355.777 * [misc]backup-simplify: Simplify 0 into 0 1546424355.778 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.779 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424355.779 * [misc]backup-simplify: Simplify 0 into 0 1546424355.780 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.782 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424355.782 * [misc]backup-simplify: Simplify 0 into 0 1546424355.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.786 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546424355.786 * [misc]backup-simplify: Simplify 0 into 0 1546424355.788 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.791 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546424355.791 * [misc]backup-simplify: Simplify 0 into 0 1546424355.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.796 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546424355.797 * [misc]backup-simplify: Simplify 0 into 0 1546424355.797 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546424355.797 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1546424355.797 * [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)))) 1546424355.797 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1546424355.797 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546424355.797 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424355.797 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.797 * [misc]taylor: Taking taylor expansion of k in k 1546424355.798 * [misc]backup-simplify: Simplify 0 into 0 1546424355.798 * [misc]backup-simplify: Simplify 1 into 1 1546424355.798 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.798 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424355.799 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424355.799 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546424355.799 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546424355.799 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546424355.799 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424355.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.799 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424355.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.799 * [misc]taylor: Taking taylor expansion of k in k 1546424355.799 * [misc]backup-simplify: Simplify 0 into 0 1546424355.799 * [misc]backup-simplify: Simplify 1 into 1 1546424355.799 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546424355.799 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546424355.799 * [misc]taylor: Taking taylor expansion of 2 in k 1546424355.799 * [misc]backup-simplify: Simplify 2 into 2 1546424355.799 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546424355.799 * [misc]taylor: Taking taylor expansion of n in k 1546424355.799 * [misc]backup-simplify: Simplify n into n 1546424355.799 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.799 * [misc]backup-simplify: Simplify PI into PI 1546424355.799 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546424355.799 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546424355.799 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546424355.800 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424355.800 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.800 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424355.800 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546424355.800 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546424355.800 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546424355.800 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546424355.800 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.800 * [misc]taylor: Taking taylor expansion of k in n 1546424355.800 * [misc]backup-simplify: Simplify k into k 1546424355.800 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.800 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546424355.800 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424355.801 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546424355.801 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546424355.801 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546424355.801 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546424355.801 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424355.801 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.801 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424355.801 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.801 * [misc]taylor: Taking taylor expansion of k in n 1546424355.801 * [misc]backup-simplify: Simplify k into k 1546424355.801 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424355.801 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424355.801 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.801 * [misc]backup-simplify: Simplify 2 into 2 1546424355.801 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424355.801 * [misc]taylor: Taking taylor expansion of n in n 1546424355.801 * [misc]backup-simplify: Simplify 0 into 0 1546424355.801 * [misc]backup-simplify: Simplify 1 into 1 1546424355.801 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.801 * [misc]backup-simplify: Simplify PI into PI 1546424355.801 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424355.802 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424355.802 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424355.803 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424355.803 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.803 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424355.803 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424355.803 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424355.804 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.804 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1546424355.806 * [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))))) 1546424355.806 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of k in n 1546424355.806 * [misc]backup-simplify: Simplify k into k 1546424355.806 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.806 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546424355.806 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424355.806 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546424355.806 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.806 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.806 * [misc]taylor: Taking taylor expansion of k in n 1546424355.806 * [misc]backup-simplify: Simplify k into k 1546424355.806 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.806 * [misc]backup-simplify: Simplify 2 into 2 1546424355.806 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424355.806 * [misc]taylor: Taking taylor expansion of n in n 1546424355.806 * [misc]backup-simplify: Simplify 0 into 0 1546424355.807 * [misc]backup-simplify: Simplify 1 into 1 1546424355.807 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.807 * [misc]backup-simplify: Simplify PI into PI 1546424355.807 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424355.807 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424355.807 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424355.808 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424355.808 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.808 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424355.808 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424355.808 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424355.808 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.809 * [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)))) 1546424355.809 * [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))))) 1546424355.810 * [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))) 1546424355.810 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1546424355.810 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546424355.810 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546424355.810 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424355.810 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.810 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424355.810 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.810 * [misc]taylor: Taking taylor expansion of k in k 1546424355.810 * [misc]backup-simplify: Simplify 0 into 0 1546424355.810 * [misc]backup-simplify: Simplify 1 into 1 1546424355.810 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546424355.810 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424355.810 * [misc]taylor: Taking taylor expansion of n in k 1546424355.810 * [misc]backup-simplify: Simplify n into n 1546424355.810 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424355.810 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546424355.810 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546424355.810 * [misc]taylor: Taking taylor expansion of 2 in k 1546424355.810 * [misc]backup-simplify: Simplify 2 into 2 1546424355.810 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.810 * [misc]backup-simplify: Simplify PI into PI 1546424355.810 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.811 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.811 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424355.811 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.811 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424355.811 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.811 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546424355.812 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546424355.812 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424355.812 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.812 * [misc]taylor: Taking taylor expansion of k in k 1546424355.812 * [misc]backup-simplify: Simplify 0 into 0 1546424355.812 * [misc]backup-simplify: Simplify 1 into 1 1546424355.812 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.812 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424355.812 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424355.813 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1546424355.813 * [misc]backup-simplify: Simplify 0 into 0 1546424355.813 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424355.814 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546424355.816 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424355.816 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546424355.816 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.816 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.816 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.817 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546424355.818 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424355.818 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1546424355.818 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.818 * [misc]backup-simplify: Simplify 0 into 0 1546424355.819 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546424355.819 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424355.821 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424355.821 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.821 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424355.821 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424355.821 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424355.822 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546424355.823 * [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))))))) 1546424355.824 * [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))))))) 1546424355.824 * [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))))))) 1546424355.825 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424355.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546424355.829 * [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 1546424355.829 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546424355.830 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.830 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.830 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.831 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546424355.832 * [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 1546424355.833 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424355.833 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1546424355.834 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1546424355.834 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.834 * [misc]backup-simplify: Simplify 0 into 0 1546424355.834 * [misc]backup-simplify: Simplify 0 into 0 1546424355.835 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546424355.836 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424355.837 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546424355.838 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424355.843 * [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 1546424355.843 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.844 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424355.844 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.844 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.845 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546424355.847 * [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))))) 1546424355.852 * [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)))))))) 1546424355.854 * [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)))))))) 1546424355.861 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546424355.863 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546424355.870 * [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 1546424355.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1546424355.871 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.871 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.871 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424355.872 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546424355.875 * [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 1546424355.876 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424355.876 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1546424355.877 * [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 1546424355.877 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.877 * [misc]backup-simplify: Simplify 0 into 0 1546424355.877 * [misc]backup-simplify: Simplify 0 into 0 1546424355.877 * [misc]backup-simplify: Simplify 0 into 0 1546424355.877 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.878 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424355.880 * [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 1546424355.881 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424355.885 * [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 1546424355.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.886 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546424355.886 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.886 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.886 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546424355.889 * [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))))))) 1546424355.894 * [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)))))))))))))) 1546424355.898 * [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)))))))))))))) 1546424355.904 * [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)))))))))))))))))))))) 1546424355.905 * [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))))) 1546424355.905 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1546424355.905 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546424355.905 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424355.905 * [misc]taylor: Taking taylor expansion of k in k 1546424355.905 * [misc]backup-simplify: Simplify 0 into 0 1546424355.905 * [misc]backup-simplify: Simplify 1 into 1 1546424355.905 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424355.905 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424355.905 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424355.905 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546424355.905 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546424355.905 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424355.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424355.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.905 * [misc]taylor: Taking taylor expansion of k in k 1546424355.905 * [misc]backup-simplify: Simplify 0 into 0 1546424355.905 * [misc]backup-simplify: Simplify 1 into 1 1546424355.905 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.905 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546424355.905 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546424355.906 * [misc]taylor: Taking taylor expansion of 2 in k 1546424355.906 * [misc]backup-simplify: Simplify 2 into 2 1546424355.906 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424355.906 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.906 * [misc]backup-simplify: Simplify PI into PI 1546424355.906 * [misc]taylor: Taking taylor expansion of n in k 1546424355.906 * [misc]backup-simplify: Simplify n into n 1546424355.906 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424355.906 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546424355.906 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546424355.906 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424355.906 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424355.906 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424355.906 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546424355.906 * [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)))) 1546424355.906 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424355.906 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546424355.906 * [misc]taylor: Taking taylor expansion of k in n 1546424355.906 * [misc]backup-simplify: Simplify k into k 1546424355.906 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546424355.906 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546424355.906 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424355.906 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424355.906 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424355.906 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424355.906 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.907 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424355.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.907 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.907 * [misc]taylor: Taking taylor expansion of k in n 1546424355.907 * [misc]backup-simplify: Simplify k into k 1546424355.907 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.907 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424355.907 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424355.907 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.907 * [misc]backup-simplify: Simplify 2 into 2 1546424355.907 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.907 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.907 * [misc]backup-simplify: Simplify PI into PI 1546424355.907 * [misc]taylor: Taking taylor expansion of n in n 1546424355.907 * [misc]backup-simplify: Simplify 0 into 0 1546424355.907 * [misc]backup-simplify: Simplify 1 into 1 1546424355.907 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.907 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.907 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.908 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424355.908 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424355.908 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424355.908 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.908 * [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))) 1546424355.909 * [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)))) 1546424355.909 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of k in n 1546424355.909 * [misc]backup-simplify: Simplify k into k 1546424355.909 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546424355.909 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546424355.909 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.909 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.909 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of k in n 1546424355.909 * [misc]backup-simplify: Simplify k into k 1546424355.909 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.909 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of 2 in n 1546424355.909 * [misc]backup-simplify: Simplify 2 into 2 1546424355.909 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.909 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.909 * [misc]backup-simplify: Simplify PI into PI 1546424355.909 * [misc]taylor: Taking taylor expansion of n in n 1546424355.909 * [misc]backup-simplify: Simplify 0 into 0 1546424355.909 * [misc]backup-simplify: Simplify 1 into 1 1546424355.910 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.910 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.910 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.910 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424355.910 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424355.910 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424355.911 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.911 * [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))) 1546424355.911 * [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)))) 1546424355.912 * [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)) 1546424355.912 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1546424355.912 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546424355.912 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546424355.912 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424355.912 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.912 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424355.912 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.912 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.912 * [misc]taylor: Taking taylor expansion of k in k 1546424355.912 * [misc]backup-simplify: Simplify 0 into 0 1546424355.912 * [misc]backup-simplify: Simplify 1 into 1 1546424355.912 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.912 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546424355.912 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546424355.912 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546424355.912 * [misc]taylor: Taking taylor expansion of 2 in k 1546424355.912 * [misc]backup-simplify: Simplify 2 into 2 1546424355.912 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.912 * [misc]backup-simplify: Simplify PI into PI 1546424355.913 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424355.913 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424355.913 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424355.913 * [misc]taylor: Taking taylor expansion of n in k 1546424355.913 * [misc]backup-simplify: Simplify n into n 1546424355.913 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424355.913 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424355.913 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424355.913 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424355.913 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424355.914 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546424355.914 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546424355.915 * [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)))) 1546424355.915 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424355.915 * [misc]taylor: Taking taylor expansion of k in k 1546424355.915 * [misc]backup-simplify: Simplify 0 into 0 1546424355.915 * [misc]backup-simplify: Simplify 1 into 1 1546424355.915 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424355.916 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424355.916 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1546424355.916 * [misc]backup-simplify: Simplify 0 into 0 1546424355.918 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424355.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424355.922 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424355.922 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424355.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424355.922 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.923 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.924 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546424355.925 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424355.926 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546424355.926 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.926 * [misc]backup-simplify: Simplify 0 into 0 1546424355.926 * [misc]backup-simplify: Simplify 0 into 0 1546424355.927 * [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)))))) 1546424355.929 * [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)))))) 1546424355.930 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424355.936 * [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 1546424355.937 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424355.937 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424355.937 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.938 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.939 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546424355.941 * [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 1546424355.942 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1546424355.943 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546424355.943 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.943 * [misc]backup-simplify: Simplify 0 into 0 1546424355.943 * [misc]backup-simplify: Simplify 0 into 0 1546424355.943 * [misc]backup-simplify: Simplify 0 into 0 1546424355.944 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424355.945 * [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)))))) 1546424355.946 * [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)))))) 1546424355.948 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.949 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424355.956 * [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 1546424355.957 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424355.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546424355.957 * [misc]backup-simplify: Simplify (- 0) into 0 1546424355.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424355.959 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546424355.962 * [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 1546424355.963 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1546424355.963 * [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 1546424355.964 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.964 * [misc]backup-simplify: Simplify 0 into 0 1546424355.964 * [misc]backup-simplify: Simplify 0 into 0 1546424355.964 * [misc]backup-simplify: Simplify 0 into 0 1546424355.964 * [misc]backup-simplify: Simplify 0 into 0 1546424355.965 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424355.966 * [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)))))) 1546424355.966 * [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)))))) 1546424355.969 * [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)))))))) 1546424355.969 * [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))) 1546424355.969 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1546424355.969 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546424355.969 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424355.969 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546424355.969 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546424355.969 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424355.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424355.969 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.969 * [misc]taylor: Taking taylor expansion of k in k 1546424355.969 * [misc]backup-simplify: Simplify 0 into 0 1546424355.969 * [misc]backup-simplify: Simplify 1 into 1 1546424355.969 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.969 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.970 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546424355.970 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546424355.970 * [misc]taylor: Taking taylor expansion of -2 in k 1546424355.970 * [misc]backup-simplify: Simplify -2 into -2 1546424355.970 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424355.970 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.970 * [misc]backup-simplify: Simplify PI into PI 1546424355.970 * [misc]taylor: Taking taylor expansion of n in k 1546424355.970 * [misc]backup-simplify: Simplify n into n 1546424355.970 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424355.970 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546424355.970 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546424355.970 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424355.971 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424355.971 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546424355.971 * [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))) 1546424355.971 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424355.971 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424355.971 * [misc]taylor: Taking taylor expansion of -1 in k 1546424355.971 * [misc]backup-simplify: Simplify -1 into -1 1546424355.971 * [misc]taylor: Taking taylor expansion of k in k 1546424355.971 * [misc]backup-simplify: Simplify 0 into 0 1546424355.971 * [misc]backup-simplify: Simplify 1 into 1 1546424355.971 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424355.972 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424355.972 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424355.972 * [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)))) 1546424355.972 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546424355.972 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424355.972 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546424355.972 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546424355.972 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424355.973 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424355.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.973 * [misc]taylor: Taking taylor expansion of k in n 1546424355.973 * [misc]backup-simplify: Simplify k into k 1546424355.973 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.973 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424355.973 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424355.973 * [misc]taylor: Taking taylor expansion of -2 in n 1546424355.973 * [misc]backup-simplify: Simplify -2 into -2 1546424355.973 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.973 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.973 * [misc]backup-simplify: Simplify PI into PI 1546424355.973 * [misc]taylor: Taking taylor expansion of n in n 1546424355.973 * [misc]backup-simplify: Simplify 0 into 0 1546424355.973 * [misc]backup-simplify: Simplify 1 into 1 1546424355.973 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.973 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424355.974 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424355.974 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424355.974 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424355.975 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424355.975 * [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))) 1546424355.976 * [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)))) 1546424355.976 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546424355.976 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546424355.976 * [misc]taylor: Taking taylor expansion of -1 in n 1546424355.976 * [misc]backup-simplify: Simplify -1 into -1 1546424355.976 * [misc]taylor: Taking taylor expansion of k in n 1546424355.976 * [misc]backup-simplify: Simplify k into k 1546424355.976 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546424355.976 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546424355.976 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546424355.976 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546424355.977 * [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))) 1546424355.977 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.977 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of k in n 1546424355.977 * [misc]backup-simplify: Simplify k into k 1546424355.977 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424355.977 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424355.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.977 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of -2 in n 1546424355.977 * [misc]backup-simplify: Simplify -2 into -2 1546424355.977 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424355.977 * [misc]taylor: Taking taylor expansion of PI in n 1546424355.978 * [misc]backup-simplify: Simplify PI into PI 1546424355.978 * [misc]taylor: Taking taylor expansion of n in n 1546424355.978 * [misc]backup-simplify: Simplify 0 into 0 1546424355.978 * [misc]backup-simplify: Simplify 1 into 1 1546424355.978 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424355.978 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424355.978 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424355.979 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424355.979 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424355.979 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424355.980 * [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))) 1546424355.980 * [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)))) 1546424355.980 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546424355.980 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546424355.980 * [misc]taylor: Taking taylor expansion of -1 in n 1546424355.980 * [misc]backup-simplify: Simplify -1 into -1 1546424355.981 * [misc]taylor: Taking taylor expansion of k in n 1546424355.981 * [misc]backup-simplify: Simplify k into k 1546424355.981 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546424355.981 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546424355.981 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546424355.981 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546424355.981 * [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))) 1546424355.982 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1546424355.982 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546424355.982 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546424355.982 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424355.982 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424355.982 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.982 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424355.982 * [misc]taylor: Taking taylor expansion of k in k 1546424355.982 * [misc]backup-simplify: Simplify 0 into 0 1546424355.982 * [misc]backup-simplify: Simplify 1 into 1 1546424355.982 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424355.982 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424355.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424355.982 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546424355.982 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546424355.982 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546424355.982 * [misc]taylor: Taking taylor expansion of -2 in k 1546424355.982 * [misc]backup-simplify: Simplify -2 into -2 1546424355.982 * [misc]taylor: Taking taylor expansion of PI in k 1546424355.982 * [misc]backup-simplify: Simplify PI into PI 1546424355.982 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424355.983 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424355.983 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424355.983 * [misc]taylor: Taking taylor expansion of n in k 1546424355.983 * [misc]backup-simplify: Simplify n into n 1546424355.983 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424355.983 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424355.983 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424355.983 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424355.984 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546424355.984 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546424355.985 * [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)))) 1546424355.985 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424355.985 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424355.985 * [misc]taylor: Taking taylor expansion of -1 in k 1546424355.985 * [misc]backup-simplify: Simplify -1 into -1 1546424355.985 * [misc]taylor: Taking taylor expansion of k in k 1546424355.985 * [misc]backup-simplify: Simplify 0 into 0 1546424355.985 * [misc]backup-simplify: Simplify 1 into 1 1546424355.985 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424355.985 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424355.986 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424355.986 * [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))))) 1546424355.987 * [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))))) 1546424355.988 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424355.989 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546424355.991 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546424355.991 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424355.991 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424355.991 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424355.992 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424355.992 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546424355.993 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424355.994 * [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 1546424355.994 * [misc]taylor: Taking taylor expansion of 0 in k 1546424355.994 * [misc]backup-simplify: Simplify 0 into 0 1546424355.994 * [misc]backup-simplify: Simplify 0 into 0 1546424355.994 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546424355.995 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424355.995 * [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)))))) 1546424355.996 * [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)))))) 1546424355.997 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424355.997 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424356.000 * [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 1546424356.000 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424356.000 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424356.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424356.001 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424356.001 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546424356.003 * [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 1546424356.003 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424356.003 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546424356.004 * [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 1546424356.004 * [misc]taylor: Taking taylor expansion of 0 in k 1546424356.004 * [misc]backup-simplify: Simplify 0 into 0 1546424356.004 * [misc]backup-simplify: Simplify 0 into 0 1546424356.004 * [misc]backup-simplify: Simplify 0 into 0 1546424356.004 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424356.005 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424356.006 * [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)))))) 1546424356.007 * [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)))))) 1546424356.008 * [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))))))))))) 1546424356.008 * * * [misc]progress: simplifying candidates 1546424356.008 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1546424356.008 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1546424356.008 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1546424356.009 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546424356.009 * * [misc]simplify: iters left: 6 (11 enodes) 1546424356.011 * * [misc]simplify: iters left: 5 (21 enodes) 1546424356.015 * * [misc]simplify: iters left: 4 (47 enodes) 1546424356.023 * * [misc]simplify: iters left: 3 (113 enodes) 1546424356.078 * * [misc]simplify: iters left: 2 (328 enodes) 1546424356.327 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546424356.327 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1546424356.328 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1546424356.328 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1546424356.328 * [enter]simplify: Simplifying (* PI (* n 2)) 1546424356.328 * * [misc]simplify: iters left: 4 (5 enodes) 1546424356.330 * * [misc]simplify: iters left: 3 (9 enodes) 1546424356.332 * * [misc]simplify: iters left: 2 (15 enodes) 1546424356.334 * * [misc]simplify: iters left: 1 (17 enodes) 1546424356.336 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546424356.336 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1546424356.336 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1546424356.336 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546424356.336 * * [misc]simplify: iters left: 5 (8 enodes) 1546424356.337 * * [misc]simplify: iters left: 4 (12 enodes) 1546424356.339 * * [misc]simplify: iters left: 3 (18 enodes) 1546424356.341 * * [misc]simplify: iters left: 2 (20 enodes) 1546424356.344 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546424356.344 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1546424356.344 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1546424356.344 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546424356.344 * * [misc]simplify: iters left: 5 (6 enodes) 1546424356.345 * * [misc]simplify: iters left: 4 (8 enodes) 1546424356.346 * * [misc]simplify: iters left: 3 (11 enodes) 1546424356.347 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546424356.347 * [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))) 1546424356.347 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1546424356.347 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546424356.347 * * [misc]simplify: iters left: 5 (6 enodes) 1546424356.348 * * [misc]simplify: iters left: 4 (8 enodes) 1546424356.349 * * [misc]simplify: iters left: 3 (11 enodes) 1546424356.351 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546424356.351 * [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))) 1546424356.351 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1546424356.351 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546424356.351 * * [misc]simplify: iters left: 4 (5 enodes) 1546424356.352 * * [misc]simplify: iters left: 3 (7 enodes) 1546424356.353 * * [misc]simplify: iters left: 2 (10 enodes) 1546424356.354 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546424356.355 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1546424356.355 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1546424356.355 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546424356.355 * * [misc]simplify: iters left: 5 (9 enodes) 1546424356.356 * * [misc]simplify: iters left: 4 (15 enodes) 1546424356.358 * * [misc]simplify: iters left: 3 (21 enodes) 1546424356.363 * * [misc]simplify: iters left: 2 (22 enodes) 1546424356.369 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546424356.369 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546424356.369 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1546424356.369 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546424356.369 * * [misc]simplify: iters left: 5 (9 enodes) 1546424356.372 * * [misc]simplify: iters left: 4 (15 enodes) 1546424356.377 * * [misc]simplify: iters left: 3 (21 enodes) 1546424356.381 * * [misc]simplify: iters left: 2 (22 enodes) 1546424356.384 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546424356.384 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546424356.384 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1546424356.384 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546424356.384 * * [misc]simplify: iters left: 5 (7 enodes) 1546424356.385 * * [misc]simplify: iters left: 4 (9 enodes) 1546424356.386 * * [misc]simplify: iters left: 3 (12 enodes) 1546424356.388 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546424356.388 * [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))) 1546424356.388 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1546424356.388 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1546424356.389 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1546424356.389 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546424356.389 * * [misc]simplify: iters left: 6 (14 enodes) 1546424356.391 * * [misc]simplify: iters left: 5 (27 enodes) 1546424356.398 * * [misc]simplify: iters left: 4 (55 enodes) 1546424356.410 * * [misc]simplify: iters left: 3 (144 enodes) 1546424356.470 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546424356.470 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546424356.470 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1546424356.471 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546424356.471 * * [misc]simplify: iters left: 6 (14 enodes) 1546424356.478 * * [misc]simplify: iters left: 5 (27 enodes) 1546424356.487 * * [misc]simplify: iters left: 4 (55 enodes) 1546424356.498 * * [misc]simplify: iters left: 3 (144 enodes) 1546424356.566 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546424356.566 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546424356.566 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1546424356.566 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1546424356.567 * * [misc]simplify: iters left: 6 (14 enodes) 1546424356.569 * * [misc]simplify: iters left: 5 (24 enodes) 1546424356.573 * * [misc]simplify: iters left: 4 (43 enodes) 1546424356.583 * * [misc]simplify: iters left: 3 (73 enodes) 1546424356.615 * * [misc]simplify: iters left: 2 (220 enodes) 1546424356.798 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1546424356.798 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1546424356.798 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1546424356.798 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1546424356.798 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1546424356.798 * [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))) 1546424356.798 * * [misc]simplify: iters left: 6 (16 enodes) 1546424356.801 * * [misc]simplify: iters left: 5 (31 enodes) 1546424356.806 * * [misc]simplify: iters left: 4 (67 enodes) 1546424356.827 * * [misc]simplify: iters left: 3 (124 enodes) 1546424356.859 * * [misc]simplify: iters left: 2 (195 enodes) 1546424356.901 * * [misc]simplify: iters left: 1 (309 enodes) 1546424357.037 * [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)))) 1546424357.037 * [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)))))) 1546424357.038 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1546424357.038 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1546424357.038 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1546424357.038 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1546424357.038 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1546424357.038 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424357.038 * * [misc]simplify: iters left: 6 (12 enodes) 1546424357.042 * * [misc]simplify: iters left: 5 (19 enodes) 1546424357.048 * * [misc]simplify: iters left: 4 (25 enodes) 1546424357.054 * * [misc]simplify: iters left: 3 (26 enodes) 1546424357.061 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424357.061 * [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))))) 1546424357.061 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546424357.061 * * [misc]simplify: iters left: 6 (12 enodes) 1546424357.065 * * [misc]simplify: iters left: 5 (18 enodes) 1546424357.070 * * [misc]simplify: iters left: 4 (24 enodes) 1546424357.077 * * [misc]simplify: iters left: 3 (25 enodes) 1546424357.085 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546424357.085 * [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))))) 1546424357.085 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1546424357.085 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546424357.086 * * [misc]simplify: iters left: 6 (11 enodes) 1546424357.089 * * [misc]simplify: iters left: 5 (16 enodes) 1546424357.094 * * [misc]simplify: iters left: 4 (22 enodes) 1546424357.100 * * [misc]simplify: iters left: 3 (24 enodes) 1546424357.106 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546424357.106 * [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))))) 1546424357.106 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546424357.106 * * [misc]simplify: iters left: 6 (12 enodes) 1546424357.110 * * [misc]simplify: iters left: 5 (18 enodes) 1546424357.116 * * [misc]simplify: iters left: 4 (24 enodes) 1546424357.122 * * [misc]simplify: iters left: 3 (25 enodes) 1546424357.129 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546424357.129 * [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))))) 1546424357.129 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1546424357.129 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546424357.129 * * [misc]simplify: iters left: 6 (9 enodes) 1546424357.132 * * [misc]simplify: iters left: 5 (16 enodes) 1546424357.137 * * [misc]simplify: iters left: 4 (24 enodes) 1546424357.143 * * [misc]simplify: iters left: 3 (26 enodes) 1546424357.148 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546424357.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546424357.149 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546424357.149 * * [misc]simplify: iters left: 6 (11 enodes) 1546424357.152 * * [misc]simplify: iters left: 5 (17 enodes) 1546424357.157 * * [misc]simplify: iters left: 4 (23 enodes) 1546424357.163 * * [misc]simplify: iters left: 3 (24 enodes) 1546424357.169 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546424357.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546424357.170 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1546424357.170 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424357.170 * * [misc]simplify: iters left: 6 (12 enodes) 1546424357.174 * * [misc]simplify: iters left: 5 (19 enodes) 1546424357.179 * * [misc]simplify: iters left: 4 (25 enodes) 1546424357.186 * * [misc]simplify: iters left: 3 (26 enodes) 1546424357.193 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424357.193 * [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))))) 1546424357.193 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546424357.193 * * [misc]simplify: iters left: 6 (12 enodes) 1546424357.197 * * [misc]simplify: iters left: 5 (18 enodes) 1546424357.202 * * [misc]simplify: iters left: 4 (24 enodes) 1546424357.208 * * [misc]simplify: iters left: 3 (25 enodes) 1546424357.215 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546424357.215 * [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))))) 1546424357.215 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1546424357.215 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546424357.215 * * [misc]simplify: iters left: 6 (11 enodes) 1546424357.219 * * [misc]simplify: iters left: 5 (16 enodes) 1546424357.223 * * [misc]simplify: iters left: 4 (22 enodes) 1546424357.230 * * [misc]simplify: iters left: 3 (24 enodes) 1546424357.236 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546424357.236 * [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))))) 1546424357.236 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546424357.236 * * [misc]simplify: iters left: 6 (12 enodes) 1546424357.238 * * [misc]simplify: iters left: 5 (18 enodes) 1546424357.240 * * [misc]simplify: iters left: 4 (24 enodes) 1546424357.244 * * [misc]simplify: iters left: 3 (25 enodes) 1546424357.247 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546424357.247 * [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))))) 1546424357.247 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1546424357.247 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546424357.247 * * [misc]simplify: iters left: 6 (9 enodes) 1546424357.248 * * [misc]simplify: iters left: 5 (16 enodes) 1546424357.251 * * [misc]simplify: iters left: 4 (24 enodes) 1546424357.254 * * [misc]simplify: iters left: 3 (26 enodes) 1546424357.256 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546424357.256 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546424357.257 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546424357.257 * * [misc]simplify: iters left: 6 (11 enodes) 1546424357.258 * * [misc]simplify: iters left: 5 (17 enodes) 1546424357.261 * * [misc]simplify: iters left: 4 (23 enodes) 1546424357.264 * * [misc]simplify: iters left: 3 (24 enodes) 1546424357.266 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546424357.267 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546424357.267 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1546424357.267 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424357.267 * * [misc]simplify: iters left: 6 (11 enodes) 1546424357.268 * * [misc]simplify: iters left: 5 (15 enodes) 1546424357.271 * * [misc]simplify: iters left: 4 (18 enodes) 1546424357.273 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424357.273 * [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))))) 1546424357.273 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546424357.273 * * [misc]simplify: iters left: 6 (11 enodes) 1546424357.275 * * [misc]simplify: iters left: 5 (14 enodes) 1546424357.277 * * [misc]simplify: iters left: 4 (17 enodes) 1546424357.279 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546424357.279 * [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))))) 1546424357.280 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1546424357.280 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546424357.280 * * [misc]simplify: iters left: 6 (10 enodes) 1546424357.281 * * [misc]simplify: iters left: 5 (12 enodes) 1546424357.283 * * [misc]simplify: iters left: 4 (15 enodes) 1546424357.285 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546424357.285 * [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))))) 1546424357.285 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546424357.285 * * [misc]simplify: iters left: 6 (11 enodes) 1546424357.287 * * [misc]simplify: iters left: 5 (14 enodes) 1546424357.289 * * [misc]simplify: iters left: 4 (17 enodes) 1546424357.291 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546424357.291 * [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))))) 1546424357.291 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1546424357.291 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1546424357.291 * * [misc]simplify: iters left: 6 (9 enodes) 1546424357.292 * * [misc]simplify: iters left: 5 (13 enodes) 1546424357.295 * * [misc]simplify: iters left: 4 (18 enodes) 1546424357.297 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546424357.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546424357.297 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546424357.297 * * [misc]simplify: iters left: 6 (10 enodes) 1546424357.298 * * [misc]simplify: iters left: 5 (13 enodes) 1546424357.300 * * [misc]simplify: iters left: 4 (16 enodes) 1546424357.302 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546424357.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546424357.302 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1546424357.303 * [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)))) 1546424357.303 * * [misc]simplify: iters left: 6 (16 enodes) 1546424357.305 * * [misc]simplify: iters left: 5 (28 enodes) 1546424357.310 * * [misc]simplify: iters left: 4 (46 enodes) 1546424357.321 * * [misc]simplify: iters left: 3 (50 enodes) 1546424357.333 * * [misc]simplify: iters left: 2 (53 enodes) 1546424357.347 * [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)))) 1546424357.347 * [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))))) 1546424357.347 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546424357.347 * * [misc]simplify: iters left: 6 (14 enodes) 1546424357.349 * * [misc]simplify: iters left: 5 (20 enodes) 1546424357.352 * * [misc]simplify: iters left: 4 (29 enodes) 1546424357.356 * * [misc]simplify: iters left: 3 (30 enodes) 1546424357.359 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546424357.359 * [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))))) 1546424357.359 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1546424357.360 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546424357.360 * * [misc]simplify: iters left: 6 (15 enodes) 1546424357.362 * * [misc]simplify: iters left: 5 (23 enodes) 1546424357.365 * * [misc]simplify: iters left: 4 (34 enodes) 1546424357.370 * * [misc]simplify: iters left: 3 (37 enodes) 1546424357.374 * [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)))))) 1546424357.374 * [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))))) 1546424357.375 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424357.375 * * [misc]simplify: iters left: 6 (14 enodes) 1546424357.377 * * [misc]simplify: iters left: 5 (20 enodes) 1546424357.379 * * [misc]simplify: iters left: 4 (29 enodes) 1546424357.383 * * [misc]simplify: iters left: 3 (30 enodes) 1546424357.387 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424357.387 * [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))))) 1546424357.387 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1546424357.387 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1546424357.387 * * [misc]simplify: iters left: 6 (14 enodes) 1546424357.389 * * [misc]simplify: iters left: 5 (24 enodes) 1546424357.393 * * [misc]simplify: iters left: 4 (39 enodes) 1546424357.399 * * [misc]simplify: iters left: 3 (54 enodes) 1546424357.413 * * [misc]simplify: iters left: 2 (80 enodes) 1546424357.435 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546424357.435 * [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)))) 1546424357.435 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546424357.436 * * [misc]simplify: iters left: 6 (13 enodes) 1546424357.440 * * [misc]simplify: iters left: 5 (19 enodes) 1546424357.445 * * [misc]simplify: iters left: 4 (28 enodes) 1546424357.454 * * [misc]simplify: iters left: 3 (30 enodes) 1546424357.461 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546424357.462 * [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)))) 1546424357.462 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1546424357.462 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424357.462 * * [misc]simplify: iters left: 6 (15 enodes) 1546424357.467 * * [misc]simplify: iters left: 5 (23 enodes) 1546424357.474 * * [misc]simplify: iters left: 4 (32 enodes) 1546424357.483 * * [misc]simplify: iters left: 3 (34 enodes) 1546424357.491 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424357.491 * [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))))) 1546424357.491 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546424357.492 * * [misc]simplify: iters left: 6 (14 enodes) 1546424357.495 * * [misc]simplify: iters left: 5 (20 enodes) 1546424357.501 * * [misc]simplify: iters left: 4 (29 enodes) 1546424357.508 * * [misc]simplify: iters left: 3 (30 enodes) 1546424357.514 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546424357.514 * [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))))) 1546424357.515 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1546424357.515 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424357.515 * * [misc]simplify: iters left: 6 (14 enodes) 1546424357.519 * * [misc]simplify: iters left: 5 (20 enodes) 1546424357.525 * * [misc]simplify: iters left: 4 (29 enodes) 1546424357.533 * * [misc]simplify: iters left: 3 (30 enodes) 1546424357.545 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424357.545 * [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))))) 1546424357.545 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424357.545 * * [misc]simplify: iters left: 6 (14 enodes) 1546424357.547 * * [misc]simplify: iters left: 5 (20 enodes) 1546424357.550 * * [misc]simplify: iters left: 4 (29 enodes) 1546424357.554 * * [misc]simplify: iters left: 3 (30 enodes) 1546424357.557 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424357.557 * [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))))) 1546424357.557 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1546424357.558 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1546424357.558 * * [misc]simplify: iters left: 6 (13 enodes) 1546424357.560 * * [misc]simplify: iters left: 5 (21 enodes) 1546424357.563 * * [misc]simplify: iters left: 4 (32 enodes) 1546424357.567 * * [misc]simplify: iters left: 3 (33 enodes) 1546424357.570 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546424357.570 * [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)))) 1546424357.571 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546424357.571 * * [misc]simplify: iters left: 6 (13 enodes) 1546424357.573 * * [misc]simplify: iters left: 5 (19 enodes) 1546424357.575 * * [misc]simplify: iters left: 4 (28 enodes) 1546424357.579 * * [misc]simplify: iters left: 3 (30 enodes) 1546424357.582 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546424357.583 * [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)))) 1546424357.583 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1546424357.583 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424357.583 * * [misc]simplify: iters left: 6 (6 enodes) 1546424357.584 * * [misc]simplify: iters left: 5 (10 enodes) 1546424357.585 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1546424357.585 * [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))))) 1546424357.585 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546424357.585 * * [misc]simplify: iters left: 6 (13 enodes) 1546424357.587 * * [misc]simplify: iters left: 5 (19 enodes) 1546424357.593 * * [misc]simplify: iters left: 4 (28 enodes) 1546424357.601 * * [misc]simplify: iters left: 3 (30 enodes) 1546424357.609 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546424357.609 * [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))))) 1546424357.609 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1546424357.609 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1546424357.609 * * [misc]simplify: iters left: 4 (5 enodes) 1546424357.611 * * [misc]simplify: iters left: 3 (7 enodes) 1546424357.612 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546424357.612 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546424357.612 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546424357.612 * * [misc]simplify: iters left: 6 (13 enodes) 1546424357.614 * * [misc]simplify: iters left: 5 (19 enodes) 1546424357.616 * * [misc]simplify: iters left: 4 (28 enodes) 1546424357.620 * * [misc]simplify: iters left: 3 (30 enodes) 1546424357.624 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546424357.624 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546424357.624 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1546424357.624 * [enter]simplify: Simplifying (/ 1 1) 1546424357.624 * * [misc]simplify: iters left: 2 (2 enodes) 1546424357.624 * * [misc]simplify: iters left: 1 (4 enodes) 1546424357.625 * [exit]simplify: Simplified to 1 1546424357.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546424357.625 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546424357.625 * * [misc]simplify: iters left: 6 (12 enodes) 1546424357.627 * * [misc]simplify: iters left: 5 (18 enodes) 1546424357.630 * * [misc]simplify: iters left: 4 (27 enodes) 1546424357.634 * * [misc]simplify: iters left: 3 (29 enodes) 1546424357.637 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546424357.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546424357.637 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1546424357.637 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1546424357.637 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1546424357.637 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1546424357.638 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546424357.638 * * [misc]simplify: iters left: 2 (3 enodes) 1546424357.638 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546424357.638 * [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)))) 1546424357.638 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1546424357.638 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546424357.638 * * [misc]simplify: iters left: 2 (3 enodes) 1546424357.639 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546424357.639 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546424357.639 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1546424357.639 * [enter]simplify: Simplifying (sqrt k) 1546424357.639 * * [misc]simplify: iters left: 1 (2 enodes) 1546424357.639 * [exit]simplify: Simplified to (sqrt k) 1546424357.639 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1546424357.639 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1546424357.639 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546424357.639 * * [misc]simplify: iters left: 5 (7 enodes) 1546424357.641 * * [misc]simplify: iters left: 4 (12 enodes) 1546424357.642 * * [misc]simplify: iters left: 3 (18 enodes) 1546424357.645 * * [misc]simplify: iters left: 2 (20 enodes) 1546424357.647 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546424357.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546424357.647 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1546424357.647 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546424357.647 * * [misc]simplify: iters left: 5 (7 enodes) 1546424357.648 * * [misc]simplify: iters left: 4 (12 enodes) 1546424357.650 * * [misc]simplify: iters left: 3 (18 enodes) 1546424357.652 * * [misc]simplify: iters left: 2 (20 enodes) 1546424357.655 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546424357.655 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546424357.655 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1546424357.655 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546424357.655 * * [misc]simplify: iters left: 5 (7 enodes) 1546424357.656 * * [misc]simplify: iters left: 4 (9 enodes) 1546424357.657 * * [misc]simplify: iters left: 3 (12 enodes) 1546424357.659 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546424357.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424357.659 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1546424357.659 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424357.659 * * [misc]simplify: iters left: 6 (12 enodes) 1546424357.661 * * [misc]simplify: iters left: 5 (18 enodes) 1546424357.665 * * [misc]simplify: iters left: 4 (27 enodes) 1546424357.672 * * [misc]simplify: iters left: 3 (29 enodes) 1546424357.679 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546424357.680 * [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))))))) 1546424357.680 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1546424357.680 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424357.680 * * [misc]simplify: iters left: 6 (11 enodes) 1546424357.683 * * [misc]simplify: iters left: 5 (17 enodes) 1546424357.688 * * [misc]simplify: iters left: 4 (26 enodes) 1546424357.691 * * [misc]simplify: iters left: 3 (27 enodes) 1546424357.694 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546424357.694 * [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))))))) 1546424357.695 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1546424357.695 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1546424357.695 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546424357.695 * * [misc]simplify: iters left: 5 (7 enodes) 1546424357.696 * * [misc]simplify: iters left: 4 (12 enodes) 1546424357.698 * * [misc]simplify: iters left: 3 (18 enodes) 1546424357.700 * * [misc]simplify: iters left: 2 (20 enodes) 1546424357.703 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546424357.703 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1546424357.703 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1546424357.703 * [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))))) 1546424357.703 * * [misc]simplify: iters left: 6 (37 enodes) 1546424357.711 * * [misc]simplify: iters left: 5 (108 enodes) 1546424357.757 * * [misc]simplify: iters left: 4 (368 enodes) 1546424358.011 * [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)))))) 1546424358.011 * [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))) 1546424358.011 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1546424358.012 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546424358.012 * * [misc]simplify: iters left: 6 (15 enodes) 1546424358.018 * * [misc]simplify: iters left: 5 (33 enodes) 1546424358.029 * * [misc]simplify: iters left: 4 (64 enodes) 1546424358.061 * * [misc]simplify: iters left: 3 (179 enodes) 1546424358.199 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546424358.199 * [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))) 1546424358.199 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1546424358.199 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546424358.200 * * [misc]simplify: iters left: 6 (15 enodes) 1546424358.205 * * [misc]simplify: iters left: 5 (30 enodes) 1546424358.216 * * [misc]simplify: iters left: 4 (65 enodes) 1546424358.241 * * [misc]simplify: iters left: 3 (208 enodes) 1546424358.395 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546424358.395 * [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))) 1546424358.395 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1546424358.396 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546424358.396 * * [misc]simplify: iters left: 4 (5 enodes) 1546424358.397 * * [misc]simplify: iters left: 3 (9 enodes) 1546424358.398 * * [misc]simplify: iters left: 2 (15 enodes) 1546424358.400 * * [misc]simplify: iters left: 1 (17 enodes) 1546424358.402 * [exit]simplify: Simplified to (* (* PI n) 2) 1546424358.402 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546424358.402 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1546424358.402 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546424358.402 * * [misc]simplify: iters left: 4 (5 enodes) 1546424358.403 * * [misc]simplify: iters left: 3 (9 enodes) 1546424358.404 * * [misc]simplify: iters left: 2 (15 enodes) 1546424358.409 * * [misc]simplify: iters left: 1 (17 enodes) 1546424358.412 * [exit]simplify: Simplified to (* (* PI n) 2) 1546424358.412 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546424358.412 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1546424358.412 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546424358.412 * * [misc]simplify: iters left: 4 (5 enodes) 1546424358.414 * * [misc]simplify: iters left: 3 (9 enodes) 1546424358.417 * * [misc]simplify: iters left: 2 (15 enodes) 1546424358.421 * * [misc]simplify: iters left: 1 (17 enodes) 1546424358.425 * [exit]simplify: Simplified to (* (* PI n) 2) 1546424358.425 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546424358.425 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1546424358.425 * [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)))))))))))))))))))))) 1546424358.425 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546424358.425 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1546424358.426 * [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)))))))) 1546424358.426 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546424358.426 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1546424358.426 * [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))))))))))) 1546424358.426 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546424358.426 * * * [misc]progress: adding candidates to table 1546424359.387 * * [misc]progress: iteration 2 / 4 1546424359.388 * * * [misc]progress: picking best candidate 1546424359.416 * * * * [misc]pick: Picked # 1546424359.416 * * * [misc]progress: localizing error 1546424359.422 * * * [misc]progress: generating rewritten candidates 1546424359.422 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546424359.424 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1546424359.425 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546424359.429 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546424359.432 * * * [misc]progress: generating series expansions 1546424359.432 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546424359.433 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546424359.433 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546424359.433 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546424359.433 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546424359.433 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546424359.433 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424359.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.433 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424359.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.433 * [misc]taylor: Taking taylor expansion of k in k 1546424359.433 * [misc]backup-simplify: Simplify 0 into 0 1546424359.433 * [misc]backup-simplify: Simplify 1 into 1 1546424359.433 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546424359.433 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546424359.433 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.433 * [misc]backup-simplify: Simplify 2 into 2 1546424359.433 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546424359.433 * [misc]taylor: Taking taylor expansion of n in k 1546424359.433 * [misc]backup-simplify: Simplify n into n 1546424359.433 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.433 * [misc]backup-simplify: Simplify PI into PI 1546424359.433 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546424359.433 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546424359.433 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546424359.433 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424359.433 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.434 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.434 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546424359.434 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546424359.434 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546424359.434 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546424359.434 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546424359.434 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424359.434 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.434 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424359.434 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.434 * [misc]taylor: Taking taylor expansion of k in n 1546424359.434 * [misc]backup-simplify: Simplify k into k 1546424359.434 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424359.434 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.434 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.434 * [misc]backup-simplify: Simplify 2 into 2 1546424359.434 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.434 * [misc]taylor: Taking taylor expansion of n in n 1546424359.434 * [misc]backup-simplify: Simplify 0 into 0 1546424359.434 * [misc]backup-simplify: Simplify 1 into 1 1546424359.434 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.434 * [misc]backup-simplify: Simplify PI into PI 1546424359.434 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.434 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424359.435 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.435 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424359.436 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.436 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424359.436 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424359.436 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424359.436 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.436 * [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)))) 1546424359.437 * [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))))) 1546424359.437 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546424359.437 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546424359.437 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546424359.437 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424359.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.437 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424359.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.437 * [misc]taylor: Taking taylor expansion of k in n 1546424359.437 * [misc]backup-simplify: Simplify k into k 1546424359.437 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424359.437 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.437 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.437 * [misc]backup-simplify: Simplify 2 into 2 1546424359.437 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.437 * [misc]taylor: Taking taylor expansion of n in n 1546424359.437 * [misc]backup-simplify: Simplify 0 into 0 1546424359.437 * [misc]backup-simplify: Simplify 1 into 1 1546424359.437 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.437 * [misc]backup-simplify: Simplify PI into PI 1546424359.437 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.437 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424359.438 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.438 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424359.438 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.439 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424359.439 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424359.439 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424359.439 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.439 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1546424359.440 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1546424359.440 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546424359.440 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546424359.440 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424359.440 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.440 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424359.440 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.440 * [misc]taylor: Taking taylor expansion of k in k 1546424359.440 * [misc]backup-simplify: Simplify 0 into 0 1546424359.440 * [misc]backup-simplify: Simplify 1 into 1 1546424359.440 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546424359.440 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424359.440 * [misc]taylor: Taking taylor expansion of n in k 1546424359.440 * [misc]backup-simplify: Simplify n into n 1546424359.440 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424359.440 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546424359.440 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546424359.440 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.440 * [misc]backup-simplify: Simplify 2 into 2 1546424359.440 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.440 * [misc]backup-simplify: Simplify PI into PI 1546424359.440 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.441 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.441 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424359.441 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.441 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.441 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.442 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546424359.442 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546424359.442 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546424359.443 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424359.444 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546424359.445 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424359.446 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546424359.446 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.446 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.446 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.447 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546424359.447 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424359.447 * [misc]taylor: Taking taylor expansion of 0 in k 1546424359.448 * [misc]backup-simplify: Simplify 0 into 0 1546424359.448 * [misc]backup-simplify: Simplify 0 into 0 1546424359.448 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546424359.448 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424359.450 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424359.450 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.450 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424359.450 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424359.450 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424359.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546424359.452 * [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))))))) 1546424359.453 * [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))))))) 1546424359.455 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424359.456 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546424359.466 * [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 1546424359.466 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546424359.466 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.467 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.467 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.468 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546424359.470 * [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 1546424359.470 * [misc]taylor: Taking taylor expansion of 0 in k 1546424359.470 * [misc]backup-simplify: Simplify 0 into 0 1546424359.470 * [misc]backup-simplify: Simplify 0 into 0 1546424359.470 * [misc]backup-simplify: Simplify 0 into 0 1546424359.472 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546424359.473 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424359.478 * [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 1546424359.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.479 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424359.479 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.479 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.480 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546424359.482 * [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))))) 1546424359.484 * [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))))) 1546424359.489 * [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))))) 1546424359.490 * [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)))) 1546424359.490 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546424359.490 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424359.490 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546424359.490 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546424359.490 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424359.490 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.490 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.490 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.490 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.490 * [misc]taylor: Taking taylor expansion of k in k 1546424359.490 * [misc]backup-simplify: Simplify 0 into 0 1546424359.490 * [misc]backup-simplify: Simplify 1 into 1 1546424359.490 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.490 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546424359.490 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546424359.490 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.490 * [misc]backup-simplify: Simplify 2 into 2 1546424359.490 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.490 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.490 * [misc]backup-simplify: Simplify PI into PI 1546424359.490 * [misc]taylor: Taking taylor expansion of n in k 1546424359.490 * [misc]backup-simplify: Simplify n into n 1546424359.490 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.491 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546424359.491 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546424359.491 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.491 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424359.491 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424359.491 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546424359.491 * [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)))) 1546424359.492 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.492 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.492 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.492 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.492 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.492 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.492 * [misc]taylor: Taking taylor expansion of k in n 1546424359.492 * [misc]backup-simplify: Simplify k into k 1546424359.492 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.492 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.492 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.492 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.492 * [misc]backup-simplify: Simplify 2 into 2 1546424359.492 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.492 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.492 * [misc]backup-simplify: Simplify PI into PI 1546424359.492 * [misc]taylor: Taking taylor expansion of n in n 1546424359.492 * [misc]backup-simplify: Simplify 0 into 0 1546424359.492 * [misc]backup-simplify: Simplify 1 into 1 1546424359.493 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.493 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.493 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.493 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.494 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.494 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.494 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.495 * [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))) 1546424359.496 * [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)))) 1546424359.496 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.496 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.496 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.496 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.496 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.496 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.496 * [misc]taylor: Taking taylor expansion of k in n 1546424359.496 * [misc]backup-simplify: Simplify k into k 1546424359.496 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.496 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.496 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.496 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.496 * [misc]backup-simplify: Simplify 2 into 2 1546424359.496 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.496 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.496 * [misc]backup-simplify: Simplify PI into PI 1546424359.496 * [misc]taylor: Taking taylor expansion of n in n 1546424359.496 * [misc]backup-simplify: Simplify 0 into 0 1546424359.496 * [misc]backup-simplify: Simplify 1 into 1 1546424359.497 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.497 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.497 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.497 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.497 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.498 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.498 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.499 * [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))) 1546424359.499 * [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)))) 1546424359.500 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546424359.500 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546424359.500 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424359.500 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.500 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.500 * [misc]taylor: Taking taylor expansion of k in k 1546424359.500 * [misc]backup-simplify: Simplify 0 into 0 1546424359.500 * [misc]backup-simplify: Simplify 1 into 1 1546424359.500 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.500 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546424359.500 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546424359.500 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546424359.500 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.500 * [misc]backup-simplify: Simplify 2 into 2 1546424359.500 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.500 * [misc]backup-simplify: Simplify PI into PI 1546424359.500 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.501 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.501 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424359.501 * [misc]taylor: Taking taylor expansion of n in k 1546424359.501 * [misc]backup-simplify: Simplify n into n 1546424359.501 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424359.501 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.501 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424359.502 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424359.502 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424359.502 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546424359.503 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546424359.503 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546424359.504 * [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)))) 1546424359.505 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424359.506 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424359.508 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424359.509 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424359.509 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424359.509 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.509 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.510 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546424359.512 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424359.512 * [misc]taylor: Taking taylor expansion of 0 in k 1546424359.512 * [misc]backup-simplify: Simplify 0 into 0 1546424359.512 * [misc]backup-simplify: Simplify 0 into 0 1546424359.512 * [misc]backup-simplify: Simplify 0 into 0 1546424359.514 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.515 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424359.519 * [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 1546424359.520 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424359.520 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424359.520 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.520 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.521 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.522 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546424359.525 * [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 1546424359.525 * [misc]taylor: Taking taylor expansion of 0 in k 1546424359.525 * [misc]backup-simplify: Simplify 0 into 0 1546424359.525 * [misc]backup-simplify: Simplify 0 into 0 1546424359.525 * [misc]backup-simplify: Simplify 0 into 0 1546424359.525 * [misc]backup-simplify: Simplify 0 into 0 1546424359.527 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.528 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424359.536 * [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 1546424359.536 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424359.537 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546424359.537 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.537 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.538 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.539 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546424359.542 * [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 1546424359.543 * [misc]taylor: Taking taylor expansion of 0 in k 1546424359.543 * [misc]backup-simplify: Simplify 0 into 0 1546424359.543 * [misc]backup-simplify: Simplify 0 into 0 1546424359.543 * [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))))) 1546424359.544 * [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)) 1546424359.544 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546424359.544 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424359.544 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546424359.544 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546424359.544 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424359.544 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.544 * [misc]taylor: Taking taylor expansion of k in k 1546424359.544 * [misc]backup-simplify: Simplify 0 into 0 1546424359.544 * [misc]backup-simplify: Simplify 1 into 1 1546424359.544 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.544 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546424359.544 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546424359.544 * [misc]taylor: Taking taylor expansion of -2 in k 1546424359.544 * [misc]backup-simplify: Simplify -2 into -2 1546424359.544 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.544 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.544 * [misc]backup-simplify: Simplify PI into PI 1546424359.545 * [misc]taylor: Taking taylor expansion of n in k 1546424359.545 * [misc]backup-simplify: Simplify n into n 1546424359.545 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.545 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546424359.545 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546424359.545 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.545 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.545 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546424359.545 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1546424359.545 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424359.545 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546424359.546 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546424359.546 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424359.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.546 * [misc]taylor: Taking taylor expansion of k in n 1546424359.546 * [misc]backup-simplify: Simplify k into k 1546424359.546 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.546 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424359.546 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.546 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.546 * [misc]backup-simplify: Simplify -2 into -2 1546424359.546 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.546 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.546 * [misc]backup-simplify: Simplify PI into PI 1546424359.546 * [misc]taylor: Taking taylor expansion of n in n 1546424359.546 * [misc]backup-simplify: Simplify 0 into 0 1546424359.546 * [misc]backup-simplify: Simplify 1 into 1 1546424359.546 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.547 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.547 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.547 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.547 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424359.548 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.549 * [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))) 1546424359.549 * [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)))) 1546424359.549 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424359.549 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546424359.549 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546424359.549 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424359.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.549 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.550 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.550 * [misc]taylor: Taking taylor expansion of k in n 1546424359.550 * [misc]backup-simplify: Simplify k into k 1546424359.550 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.550 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424359.550 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.550 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.550 * [misc]backup-simplify: Simplify -2 into -2 1546424359.550 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.550 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.550 * [misc]backup-simplify: Simplify PI into PI 1546424359.550 * [misc]taylor: Taking taylor expansion of n in n 1546424359.550 * [misc]backup-simplify: Simplify 0 into 0 1546424359.550 * [misc]backup-simplify: Simplify 1 into 1 1546424359.550 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.550 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.551 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.551 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.551 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424359.552 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.552 * [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))) 1546424359.553 * [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)))) 1546424359.553 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546424359.553 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546424359.553 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424359.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.553 * [misc]taylor: Taking taylor expansion of k in k 1546424359.553 * [misc]backup-simplify: Simplify 0 into 0 1546424359.553 * [misc]backup-simplify: Simplify 1 into 1 1546424359.554 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.554 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.554 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546424359.554 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546424359.554 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546424359.554 * [misc]taylor: Taking taylor expansion of -2 in k 1546424359.554 * [misc]backup-simplify: Simplify -2 into -2 1546424359.554 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.554 * [misc]backup-simplify: Simplify PI into PI 1546424359.554 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.555 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.555 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424359.555 * [misc]taylor: Taking taylor expansion of n in k 1546424359.555 * [misc]backup-simplify: Simplify n into n 1546424359.555 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424359.555 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.555 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.555 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424359.556 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546424359.556 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546424359.557 * [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)))) 1546424359.557 * [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)))) 1546424359.559 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424359.559 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546424359.562 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546424359.562 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424359.562 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424359.562 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.563 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.564 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546424359.565 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424359.565 * [misc]taylor: Taking taylor expansion of 0 in k 1546424359.565 * [misc]backup-simplify: Simplify 0 into 0 1546424359.565 * [misc]backup-simplify: Simplify 0 into 0 1546424359.565 * [misc]backup-simplify: Simplify 0 into 0 1546424359.567 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.568 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424359.573 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1546424359.573 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424359.574 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424359.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.575 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.575 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546424359.578 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546424359.578 * [misc]taylor: Taking taylor expansion of 0 in k 1546424359.578 * [misc]backup-simplify: Simplify 0 into 0 1546424359.578 * [misc]backup-simplify: Simplify 0 into 0 1546424359.578 * [misc]backup-simplify: Simplify 0 into 0 1546424359.578 * [misc]backup-simplify: Simplify 0 into 0 1546424359.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.581 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424359.589 * [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 1546424359.589 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424359.590 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546424359.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.591 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546424359.595 * [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 1546424359.595 * [misc]taylor: Taking taylor expansion of 0 in k 1546424359.595 * [misc]backup-simplify: Simplify 0 into 0 1546424359.595 * [misc]backup-simplify: Simplify 0 into 0 1546424359.596 * [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))))) 1546424359.596 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1546424359.596 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546424359.596 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546424359.596 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.596 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.596 * [misc]backup-simplify: Simplify 2 into 2 1546424359.596 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.596 * [misc]taylor: Taking taylor expansion of n in n 1546424359.596 * [misc]backup-simplify: Simplify 0 into 0 1546424359.596 * [misc]backup-simplify: Simplify 1 into 1 1546424359.596 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.596 * [misc]backup-simplify: Simplify PI into PI 1546424359.596 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.596 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.596 * [misc]backup-simplify: Simplify 2 into 2 1546424359.596 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.596 * [misc]taylor: Taking taylor expansion of n in n 1546424359.596 * [misc]backup-simplify: Simplify 0 into 0 1546424359.596 * [misc]backup-simplify: Simplify 1 into 1 1546424359.596 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.597 * [misc]backup-simplify: Simplify PI into PI 1546424359.597 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.597 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424359.597 * [misc]backup-simplify: Simplify 0 into 0 1546424359.598 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.598 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424359.599 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.600 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424359.601 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546424359.601 * [misc]backup-simplify: Simplify 0 into 0 1546424359.602 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424359.604 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546424359.604 * [misc]backup-simplify: Simplify 0 into 0 1546424359.606 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546424359.608 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546424359.608 * [misc]backup-simplify: Simplify 0 into 0 1546424359.611 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546424359.614 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546424359.614 * [misc]backup-simplify: Simplify 0 into 0 1546424359.617 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546424359.621 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546424359.621 * [misc]backup-simplify: Simplify 0 into 0 1546424359.627 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546424359.631 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546424359.631 * [misc]backup-simplify: Simplify 0 into 0 1546424359.631 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546424359.631 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546424359.631 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546424359.631 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.631 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.632 * [misc]backup-simplify: Simplify 2 into 2 1546424359.632 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.632 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.632 * [misc]backup-simplify: Simplify PI into PI 1546424359.632 * [misc]taylor: Taking taylor expansion of n in n 1546424359.632 * [misc]backup-simplify: Simplify 0 into 0 1546424359.632 * [misc]backup-simplify: Simplify 1 into 1 1546424359.632 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.632 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.632 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.632 * [misc]backup-simplify: Simplify 2 into 2 1546424359.632 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.632 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.632 * [misc]backup-simplify: Simplify PI into PI 1546424359.632 * [misc]taylor: Taking taylor expansion of n in n 1546424359.632 * [misc]backup-simplify: Simplify 0 into 0 1546424359.632 * [misc]backup-simplify: Simplify 1 into 1 1546424359.632 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.633 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.633 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.634 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424359.635 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424359.635 * [misc]backup-simplify: Simplify 0 into 0 1546424359.636 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.637 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424359.637 * [misc]backup-simplify: Simplify 0 into 0 1546424359.639 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.640 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424359.640 * [misc]backup-simplify: Simplify 0 into 0 1546424359.642 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.644 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546424359.644 * [misc]backup-simplify: Simplify 0 into 0 1546424359.646 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.649 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546424359.649 * [misc]backup-simplify: Simplify 0 into 0 1546424359.651 * [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 1546424359.655 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546424359.655 * [misc]backup-simplify: Simplify 0 into 0 1546424359.655 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546424359.655 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546424359.655 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546424359.655 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.655 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.656 * [misc]backup-simplify: Simplify -2 into -2 1546424359.656 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.656 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.656 * [misc]backup-simplify: Simplify PI into PI 1546424359.656 * [misc]taylor: Taking taylor expansion of n in n 1546424359.656 * [misc]backup-simplify: Simplify 0 into 0 1546424359.656 * [misc]backup-simplify: Simplify 1 into 1 1546424359.656 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.656 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.656 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.656 * [misc]backup-simplify: Simplify -2 into -2 1546424359.656 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.656 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.656 * [misc]backup-simplify: Simplify PI into PI 1546424359.656 * [misc]taylor: Taking taylor expansion of n in n 1546424359.656 * [misc]backup-simplify: Simplify 0 into 0 1546424359.656 * [misc]backup-simplify: Simplify 1 into 1 1546424359.656 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.657 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.657 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.658 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424359.659 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546424359.659 * [misc]backup-simplify: Simplify 0 into 0 1546424359.660 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.661 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546424359.661 * [misc]backup-simplify: Simplify 0 into 0 1546424359.663 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.664 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424359.664 * [misc]backup-simplify: Simplify 0 into 0 1546424359.665 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.666 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546424359.666 * [misc]backup-simplify: Simplify 0 into 0 1546424359.667 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.669 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546424359.669 * [misc]backup-simplify: Simplify 0 into 0 1546424359.670 * [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 1546424359.672 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546424359.672 * [misc]backup-simplify: Simplify 0 into 0 1546424359.672 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546424359.672 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546424359.673 * [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)) 1546424359.673 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546424359.673 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.673 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.673 * [misc]taylor: Taking taylor expansion of k in n 1546424359.673 * [misc]backup-simplify: Simplify k into k 1546424359.673 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.673 * [misc]backup-simplify: Simplify 2 into 2 1546424359.673 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.673 * [misc]taylor: Taking taylor expansion of n in n 1546424359.673 * [misc]backup-simplify: Simplify 0 into 0 1546424359.673 * [misc]backup-simplify: Simplify 1 into 1 1546424359.673 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.673 * [misc]backup-simplify: Simplify PI into PI 1546424359.673 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.674 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424359.674 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.674 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424359.675 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.675 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424359.675 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424359.675 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424359.675 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.675 * [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)))) 1546424359.676 * [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))))) 1546424359.676 * [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)))))) 1546424359.676 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546424359.676 * [misc]taylor: Taking taylor expansion of k in n 1546424359.676 * [misc]backup-simplify: Simplify k into k 1546424359.676 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546424359.676 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546424359.676 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546424359.676 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546424359.676 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546424359.677 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546424359.677 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546424359.677 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424359.677 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.677 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424359.677 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.677 * [misc]taylor: Taking taylor expansion of k in k 1546424359.677 * [misc]backup-simplify: Simplify 0 into 0 1546424359.677 * [misc]backup-simplify: Simplify 1 into 1 1546424359.677 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546424359.677 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546424359.677 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.677 * [misc]backup-simplify: Simplify 2 into 2 1546424359.677 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546424359.677 * [misc]taylor: Taking taylor expansion of n in k 1546424359.677 * [misc]backup-simplify: Simplify n into n 1546424359.677 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.677 * [misc]backup-simplify: Simplify PI into PI 1546424359.677 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546424359.677 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546424359.677 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546424359.677 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424359.677 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.677 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.677 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546424359.677 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546424359.677 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546424359.677 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of k in k 1546424359.678 * [misc]backup-simplify: Simplify 0 into 0 1546424359.678 * [misc]backup-simplify: Simplify 1 into 1 1546424359.678 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.678 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424359.678 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.678 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.678 * [misc]taylor: Taking taylor expansion of k in k 1546424359.678 * [misc]backup-simplify: Simplify 0 into 0 1546424359.678 * [misc]backup-simplify: Simplify 1 into 1 1546424359.678 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.678 * [misc]backup-simplify: Simplify 2 into 2 1546424359.678 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546424359.678 * [misc]taylor: Taking taylor expansion of n in k 1546424359.678 * [misc]backup-simplify: Simplify n into n 1546424359.678 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.678 * [misc]backup-simplify: Simplify PI into PI 1546424359.678 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546424359.678 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546424359.678 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546424359.679 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424359.679 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.679 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.679 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546424359.679 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546424359.679 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546424359.679 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424359.679 * [misc]taylor: Taking taylor expansion of k in k 1546424359.679 * [misc]backup-simplify: Simplify 0 into 0 1546424359.679 * [misc]backup-simplify: Simplify 1 into 1 1546424359.679 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.679 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424359.680 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1546424359.680 * [misc]taylor: Taking taylor expansion of 0 in n 1546424359.680 * [misc]backup-simplify: Simplify 0 into 0 1546424359.680 * [misc]backup-simplify: Simplify 0 into 0 1546424359.680 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546424359.680 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546424359.681 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546424359.681 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424359.681 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424359.681 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424359.681 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546424359.681 * [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))))) 1546424359.682 * [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))))) 1546424359.682 * [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)))) 1546424359.682 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546424359.682 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546424359.682 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.682 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.682 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546424359.683 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546424359.683 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546424359.683 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.683 * [misc]taylor: Taking taylor expansion of n in n 1546424359.683 * [misc]backup-simplify: Simplify 0 into 0 1546424359.683 * [misc]backup-simplify: Simplify 1 into 1 1546424359.683 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.683 * [misc]backup-simplify: Simplify PI into PI 1546424359.683 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.683 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.684 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546424359.684 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.684 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546424359.684 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546424359.684 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.684 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546424359.684 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546424359.686 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546424359.686 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546424359.687 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546424359.688 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546424359.688 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546424359.688 * [misc]backup-simplify: Simplify 0 into 0 1546424359.689 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424359.689 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546424359.690 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546424359.690 * [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 1546424359.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424359.691 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546424359.692 * [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))) 1546424359.695 * [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)))))) 1546424359.698 * [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)))))) 1546424359.699 * [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 1546424359.699 * [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 1546424359.699 * [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 1546424359.699 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.699 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.699 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1546424359.699 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1546424359.699 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424359.699 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.699 * [misc]backup-simplify: Simplify 2 into 2 1546424359.699 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424359.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424359.699 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1546424359.699 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424359.699 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.699 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.699 * [misc]backup-simplify: Simplify 2 into 2 1546424359.699 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.699 * [misc]taylor: Taking taylor expansion of n in n 1546424359.699 * [misc]backup-simplify: Simplify 0 into 0 1546424359.700 * [misc]backup-simplify: Simplify 1 into 1 1546424359.700 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.700 * [misc]backup-simplify: Simplify PI into PI 1546424359.700 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.700 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424359.701 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.701 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424359.702 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.702 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546424359.702 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546424359.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.702 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546424359.702 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546424359.702 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546424359.702 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546424359.703 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.703 * [misc]taylor: Taking taylor expansion of n in n 1546424359.703 * [misc]backup-simplify: Simplify 0 into 0 1546424359.703 * [misc]backup-simplify: Simplify 1 into 1 1546424359.703 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.703 * [misc]backup-simplify: Simplify PI into PI 1546424359.703 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.704 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546424359.704 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.705 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546424359.705 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546424359.705 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546424359.705 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.705 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.705 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546424359.705 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546424359.705 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546424359.705 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.705 * [misc]taylor: Taking taylor expansion of n in n 1546424359.705 * [misc]backup-simplify: Simplify 0 into 0 1546424359.705 * [misc]backup-simplify: Simplify 1 into 1 1546424359.705 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.705 * [misc]backup-simplify: Simplify PI into PI 1546424359.705 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.706 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.706 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546424359.706 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.707 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546424359.707 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546424359.707 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.707 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546424359.707 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546424359.708 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.708 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546424359.709 * [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)))) 1546424359.709 * [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))))) 1546424359.710 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.710 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546424359.711 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424359.711 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546424359.713 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424359.713 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546424359.714 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1546424359.715 * [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))))) 1546424359.716 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1546424359.719 * [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))))) 1546424359.719 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546424359.720 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546424359.721 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546424359.721 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546424359.725 * [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))))))) 1546424359.729 * [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))))))) 1546424359.736 * [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))))))) 1546424359.738 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546424359.739 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424359.740 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1546424359.742 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1546424359.744 * [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)))) 1546424359.749 * [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)))) 1546424359.751 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546424359.752 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546424359.762 * [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))))))))))) 1546424359.763 * [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))) 1546424359.763 * [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 1546424359.763 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.763 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.763 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of k in n 1546424359.763 * [misc]backup-simplify: Simplify k into k 1546424359.763 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.763 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.763 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.763 * [misc]backup-simplify: Simplify 2 into 2 1546424359.764 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.764 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.764 * [misc]backup-simplify: Simplify PI into PI 1546424359.764 * [misc]taylor: Taking taylor expansion of n in n 1546424359.764 * [misc]backup-simplify: Simplify 0 into 0 1546424359.764 * [misc]backup-simplify: Simplify 1 into 1 1546424359.764 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.764 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.765 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.765 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.765 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.765 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.766 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.766 * [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))) 1546424359.767 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546424359.768 * [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))))) 1546424359.768 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546424359.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.768 * [misc]taylor: Taking taylor expansion of k in n 1546424359.768 * [misc]backup-simplify: Simplify k into k 1546424359.768 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.768 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546424359.768 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424359.768 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546424359.768 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546424359.768 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546424359.768 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424359.768 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546424359.768 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546424359.768 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424359.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.769 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.769 * [misc]taylor: Taking taylor expansion of k in k 1546424359.769 * [misc]backup-simplify: Simplify 0 into 0 1546424359.769 * [misc]backup-simplify: Simplify 1 into 1 1546424359.769 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.769 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546424359.769 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546424359.769 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.769 * [misc]backup-simplify: Simplify 2 into 2 1546424359.769 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.769 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.769 * [misc]backup-simplify: Simplify PI into PI 1546424359.769 * [misc]taylor: Taking taylor expansion of n in k 1546424359.769 * [misc]backup-simplify: Simplify n into n 1546424359.769 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.769 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546424359.769 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546424359.769 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.770 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424359.770 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424359.770 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546424359.770 * [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)))) 1546424359.770 * [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))))) 1546424359.770 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424359.770 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.770 * [misc]taylor: Taking taylor expansion of k in k 1546424359.770 * [misc]backup-simplify: Simplify 0 into 0 1546424359.770 * [misc]backup-simplify: Simplify 1 into 1 1546424359.771 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.771 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.771 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424359.771 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546424359.771 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546424359.771 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424359.771 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546424359.771 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546424359.771 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424359.771 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.771 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.771 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.772 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.772 * [misc]taylor: Taking taylor expansion of k in k 1546424359.772 * [misc]backup-simplify: Simplify 0 into 0 1546424359.772 * [misc]backup-simplify: Simplify 1 into 1 1546424359.772 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.772 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546424359.772 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546424359.772 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.772 * [misc]backup-simplify: Simplify 2 into 2 1546424359.772 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.772 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.772 * [misc]backup-simplify: Simplify PI into PI 1546424359.772 * [misc]taylor: Taking taylor expansion of n in k 1546424359.772 * [misc]backup-simplify: Simplify n into n 1546424359.772 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.772 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546424359.772 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546424359.772 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.773 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424359.773 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424359.773 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546424359.773 * [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)))) 1546424359.773 * [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))))) 1546424359.773 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424359.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.773 * [misc]taylor: Taking taylor expansion of k in k 1546424359.773 * [misc]backup-simplify: Simplify 0 into 0 1546424359.773 * [misc]backup-simplify: Simplify 1 into 1 1546424359.774 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.774 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.774 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424359.774 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546424359.774 * [misc]taylor: Taking taylor expansion of 0 in n 1546424359.775 * [misc]backup-simplify: Simplify 0 into 0 1546424359.775 * [misc]backup-simplify: Simplify 0 into 0 1546424359.775 * [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 1546424359.775 * [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))))))) 1546424359.775 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546424359.775 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424359.775 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.775 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.775 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.776 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.776 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of k in n 1546424359.776 * [misc]backup-simplify: Simplify k into k 1546424359.776 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.776 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.776 * [misc]backup-simplify: Simplify 2 into 2 1546424359.776 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.776 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.776 * [misc]backup-simplify: Simplify PI into PI 1546424359.776 * [misc]taylor: Taking taylor expansion of n in n 1546424359.776 * [misc]backup-simplify: Simplify 0 into 0 1546424359.776 * [misc]backup-simplify: Simplify 1 into 1 1546424359.776 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.777 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.777 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.777 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.777 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.777 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.778 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.779 * [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))) 1546424359.779 * [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)))) 1546424359.780 * [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))))) 1546424359.781 * [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))))) 1546424359.781 * [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))))))) 1546424359.782 * [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))))))) 1546424359.782 * [misc]backup-simplify: Simplify 0 into 0 1546424359.782 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546424359.783 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424359.784 * [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 1546424359.784 * [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))))))) 1546424359.784 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.785 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.785 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of k in n 1546424359.785 * [misc]backup-simplify: Simplify k into k 1546424359.785 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.785 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.785 * [misc]backup-simplify: Simplify 2 into 2 1546424359.785 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.785 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.785 * [misc]backup-simplify: Simplify PI into PI 1546424359.785 * [misc]taylor: Taking taylor expansion of n in n 1546424359.785 * [misc]backup-simplify: Simplify 0 into 0 1546424359.785 * [misc]backup-simplify: Simplify 1 into 1 1546424359.786 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.786 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.786 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.787 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.787 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.787 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.788 * [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))) 1546424359.789 * [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)))) 1546424359.789 * [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))))) 1546424359.790 * [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))))) 1546424359.791 * [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))))))) 1546424359.791 * [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))))))) 1546424359.792 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424359.792 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424359.794 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424359.794 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424359.795 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424359.795 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.795 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.795 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.796 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546424359.797 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424359.797 * [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 1546424359.798 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546424359.798 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.798 * [misc]backup-simplify: Simplify 0 into 0 1546424359.798 * [misc]backup-simplify: Simplify 0 into 0 1546424359.799 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.799 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424359.800 * [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 1546424359.800 * [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))))))) 1546424359.800 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.800 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.800 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.800 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.800 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of k in n 1546424359.800 * [misc]backup-simplify: Simplify k into k 1546424359.800 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.800 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.800 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.800 * [misc]backup-simplify: Simplify 2 into 2 1546424359.801 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.801 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.801 * [misc]backup-simplify: Simplify PI into PI 1546424359.801 * [misc]taylor: Taking taylor expansion of n in n 1546424359.801 * [misc]backup-simplify: Simplify 0 into 0 1546424359.801 * [misc]backup-simplify: Simplify 1 into 1 1546424359.801 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.801 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.801 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.801 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.801 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.801 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.802 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.802 * [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))) 1546424359.803 * [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)))) 1546424359.803 * [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))))) 1546424359.804 * [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))))) 1546424359.804 * [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))))))) 1546424359.804 * [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))))))) 1546424359.806 * [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)))))))))))) 1546424359.806 * [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))) 1546424359.806 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546424359.806 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424359.806 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546424359.806 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546424359.806 * [misc]taylor: Taking taylor expansion of -1 in n 1546424359.806 * [misc]backup-simplify: Simplify -1 into -1 1546424359.806 * [misc]taylor: Taking taylor expansion of k in n 1546424359.806 * [misc]backup-simplify: Simplify k into k 1546424359.806 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546424359.806 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546424359.806 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546424359.807 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546424359.807 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424359.807 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546424359.807 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546424359.807 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424359.807 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.807 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.807 * [misc]taylor: Taking taylor expansion of k in n 1546424359.807 * [misc]backup-simplify: Simplify k into k 1546424359.807 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.807 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424359.807 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.807 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.807 * [misc]backup-simplify: Simplify -2 into -2 1546424359.807 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.807 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.807 * [misc]backup-simplify: Simplify PI into PI 1546424359.807 * [misc]taylor: Taking taylor expansion of n in n 1546424359.807 * [misc]backup-simplify: Simplify 0 into 0 1546424359.807 * [misc]backup-simplify: Simplify 1 into 1 1546424359.807 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.807 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.808 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.808 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.808 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424359.808 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.809 * [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))) 1546424359.809 * [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)))) 1546424359.809 * [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))))) 1546424359.809 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546424359.809 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of -1 in k 1546424359.810 * [misc]backup-simplify: Simplify -1 into -1 1546424359.810 * [misc]taylor: Taking taylor expansion of k in k 1546424359.810 * [misc]backup-simplify: Simplify 0 into 0 1546424359.810 * [misc]backup-simplify: Simplify 1 into 1 1546424359.810 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424359.810 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.810 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424359.810 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.810 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of k in k 1546424359.810 * [misc]backup-simplify: Simplify 0 into 0 1546424359.810 * [misc]backup-simplify: Simplify 1 into 1 1546424359.810 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.810 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.810 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546424359.810 * [misc]taylor: Taking taylor expansion of -2 in k 1546424359.810 * [misc]backup-simplify: Simplify -2 into -2 1546424359.811 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.811 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.811 * [misc]backup-simplify: Simplify PI into PI 1546424359.811 * [misc]taylor: Taking taylor expansion of n in k 1546424359.811 * [misc]backup-simplify: Simplify n into n 1546424359.811 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.811 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546424359.811 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546424359.811 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.811 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.811 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546424359.811 * [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))) 1546424359.811 * [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)))) 1546424359.811 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546424359.811 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424359.811 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424359.811 * [misc]taylor: Taking taylor expansion of -1 in k 1546424359.811 * [misc]backup-simplify: Simplify -1 into -1 1546424359.811 * [misc]taylor: Taking taylor expansion of k in k 1546424359.811 * [misc]backup-simplify: Simplify 0 into 0 1546424359.811 * [misc]backup-simplify: Simplify 1 into 1 1546424359.812 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424359.812 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.812 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424359.812 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424359.812 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546424359.812 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546424359.812 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424359.812 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.812 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.812 * [misc]taylor: Taking taylor expansion of k in k 1546424359.812 * [misc]backup-simplify: Simplify 0 into 0 1546424359.812 * [misc]backup-simplify: Simplify 1 into 1 1546424359.812 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.812 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546424359.812 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546424359.812 * [misc]taylor: Taking taylor expansion of -2 in k 1546424359.812 * [misc]backup-simplify: Simplify -2 into -2 1546424359.812 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.812 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.812 * [misc]backup-simplify: Simplify PI into PI 1546424359.812 * [misc]taylor: Taking taylor expansion of n in k 1546424359.812 * [misc]backup-simplify: Simplify n into n 1546424359.813 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.813 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546424359.813 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546424359.813 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.813 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.813 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546424359.813 * [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))) 1546424359.813 * [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)))) 1546424359.813 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424359.813 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.813 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.813 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424359.813 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424359.813 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424359.813 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.813 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.813 * [misc]backup-simplify: Simplify -2 into -2 1546424359.813 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.813 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.814 * [misc]backup-simplify: Simplify PI into PI 1546424359.814 * [misc]taylor: Taking taylor expansion of n in n 1546424359.814 * [misc]backup-simplify: Simplify 0 into 0 1546424359.814 * [misc]backup-simplify: Simplify 1 into 1 1546424359.814 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.814 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.814 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.814 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424359.814 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.814 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.814 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.814 * [misc]taylor: Taking taylor expansion of k in n 1546424359.814 * [misc]backup-simplify: Simplify k into k 1546424359.814 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.814 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.815 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.815 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.815 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424359.815 * [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))) 1546424359.816 * [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)))) 1546424359.816 * [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))))) 1546424359.817 * [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))))) 1546424359.817 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546424359.817 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424359.818 * [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)))))) 1546424359.818 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546424359.818 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546424359.818 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.818 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.818 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424359.818 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424359.818 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424359.818 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424359.818 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.818 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.818 * [misc]backup-simplify: Simplify -2 into -2 1546424359.818 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.818 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.818 * [misc]backup-simplify: Simplify PI into PI 1546424359.818 * [misc]taylor: Taking taylor expansion of n in n 1546424359.818 * [misc]backup-simplify: Simplify 0 into 0 1546424359.818 * [misc]backup-simplify: Simplify 1 into 1 1546424359.818 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.819 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.819 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.819 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424359.819 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.819 * [misc]taylor: Taking taylor expansion of k in n 1546424359.819 * [misc]backup-simplify: Simplify k into k 1546424359.819 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.819 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.820 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.820 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424359.820 * [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))) 1546424359.820 * [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)))) 1546424359.821 * [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))))) 1546424359.821 * [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))))) 1546424359.822 * [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))))))) 1546424359.822 * [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))))))) 1546424359.823 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.823 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424359.823 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424359.823 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.824 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424359.824 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546424359.826 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546424359.826 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546424359.827 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424359.829 * [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 1546424359.829 * [misc]backup-simplify: Simplify 0 into 0 1546424359.829 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.829 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424359.830 * [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)))))) 1546424359.830 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546424359.830 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546424359.830 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.830 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.830 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424359.830 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424359.830 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424359.830 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424359.830 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.830 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.830 * [misc]backup-simplify: Simplify -2 into -2 1546424359.830 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.830 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.830 * [misc]backup-simplify: Simplify PI into PI 1546424359.830 * [misc]taylor: Taking taylor expansion of n in n 1546424359.830 * [misc]backup-simplify: Simplify 0 into 0 1546424359.830 * [misc]backup-simplify: Simplify 1 into 1 1546424359.831 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.831 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.831 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.831 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424359.831 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.831 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.831 * [misc]taylor: Taking taylor expansion of k in n 1546424359.831 * [misc]backup-simplify: Simplify k into k 1546424359.831 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.832 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.832 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.832 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424359.832 * [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))) 1546424359.833 * [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)))) 1546424359.833 * [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))))) 1546424359.833 * [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))))) 1546424359.834 * [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))))))) 1546424359.834 * [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))))))) 1546424359.836 * [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)))))))))))) 1546424359.836 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546424359.836 * [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)))) 1546424359.836 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1546424359.836 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546424359.836 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546424359.836 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.836 * [misc]taylor: Taking taylor expansion of k in n 1546424359.836 * [misc]backup-simplify: Simplify k into k 1546424359.836 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.836 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546424359.836 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424359.836 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546424359.837 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546424359.837 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546424359.837 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546424359.837 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424359.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.837 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424359.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.837 * [misc]taylor: Taking taylor expansion of k in n 1546424359.837 * [misc]backup-simplify: Simplify k into k 1546424359.837 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424359.837 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.837 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.837 * [misc]backup-simplify: Simplify 2 into 2 1546424359.837 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.837 * [misc]taylor: Taking taylor expansion of n in n 1546424359.837 * [misc]backup-simplify: Simplify 0 into 0 1546424359.837 * [misc]backup-simplify: Simplify 1 into 1 1546424359.837 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.837 * [misc]backup-simplify: Simplify PI into PI 1546424359.837 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.837 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424359.838 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.838 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424359.838 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.838 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424359.838 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424359.838 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424359.839 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.839 * [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)))) 1546424359.840 * [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))))) 1546424359.840 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of k in k 1546424359.840 * [misc]backup-simplify: Simplify 0 into 0 1546424359.840 * [misc]backup-simplify: Simplify 1 into 1 1546424359.840 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.840 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.840 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424359.840 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.840 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.840 * [misc]taylor: Taking taylor expansion of k in k 1546424359.840 * [misc]backup-simplify: Simplify 0 into 0 1546424359.840 * [misc]backup-simplify: Simplify 1 into 1 1546424359.840 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546424359.840 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.841 * [misc]backup-simplify: Simplify 2 into 2 1546424359.841 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546424359.841 * [misc]taylor: Taking taylor expansion of n in k 1546424359.841 * [misc]backup-simplify: Simplify n into n 1546424359.841 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.841 * [misc]backup-simplify: Simplify PI into PI 1546424359.841 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546424359.841 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546424359.841 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546424359.841 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424359.841 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.841 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.841 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546424359.841 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546424359.841 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546424359.841 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424359.841 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.841 * [misc]taylor: Taking taylor expansion of k in k 1546424359.841 * [misc]backup-simplify: Simplify 0 into 0 1546424359.841 * [misc]backup-simplify: Simplify 1 into 1 1546424359.841 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.841 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.842 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424359.842 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546424359.842 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546424359.842 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546424359.842 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424359.842 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.842 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424359.842 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.842 * [misc]taylor: Taking taylor expansion of k in k 1546424359.842 * [misc]backup-simplify: Simplify 0 into 0 1546424359.842 * [misc]backup-simplify: Simplify 1 into 1 1546424359.842 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546424359.842 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546424359.842 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.842 * [misc]backup-simplify: Simplify 2 into 2 1546424359.842 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546424359.842 * [misc]taylor: Taking taylor expansion of n in k 1546424359.842 * [misc]backup-simplify: Simplify n into n 1546424359.842 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.842 * [misc]backup-simplify: Simplify PI into PI 1546424359.842 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546424359.842 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546424359.842 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546424359.842 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424359.842 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.843 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.843 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546424359.843 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546424359.843 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1546424359.843 * [misc]taylor: Taking taylor expansion of 0 in n 1546424359.843 * [misc]backup-simplify: Simplify 0 into 0 1546424359.843 * [misc]backup-simplify: Simplify 0 into 0 1546424359.843 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546424359.843 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546424359.845 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546424359.845 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424359.845 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424359.845 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424359.845 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546424359.846 * [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))))) 1546424359.846 * [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))))) 1546424359.846 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546424359.846 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546424359.846 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.846 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.846 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546424359.846 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424359.846 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.846 * [misc]backup-simplify: Simplify 2 into 2 1546424359.847 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424359.847 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424359.847 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424359.847 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.847 * [misc]taylor: Taking taylor expansion of n in n 1546424359.847 * [misc]backup-simplify: Simplify 0 into 0 1546424359.847 * [misc]backup-simplify: Simplify 1 into 1 1546424359.847 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.847 * [misc]backup-simplify: Simplify PI into PI 1546424359.847 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.848 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.848 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.849 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424359.849 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546424359.849 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424359.849 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.849 * [misc]backup-simplify: Simplify 0 into 0 1546424359.849 * [misc]backup-simplify: Simplify 0 into 0 1546424359.850 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546424359.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546424359.852 * [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 1546424359.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424359.852 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.852 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.853 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546424359.854 * [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))) 1546424359.854 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546424359.855 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424359.856 * [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))))))) 1546424359.856 * [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 1546424359.856 * [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 1546424359.856 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546424359.856 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.856 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.856 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546424359.856 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546424359.857 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424359.857 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.857 * [misc]backup-simplify: Simplify 2 into 2 1546424359.857 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424359.857 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424359.857 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424359.857 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.857 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.857 * [misc]backup-simplify: Simplify 2 into 2 1546424359.857 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.857 * [misc]taylor: Taking taylor expansion of n in n 1546424359.857 * [misc]backup-simplify: Simplify 0 into 0 1546424359.857 * [misc]backup-simplify: Simplify 1 into 1 1546424359.857 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.857 * [misc]backup-simplify: Simplify PI into PI 1546424359.858 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.858 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424359.858 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.859 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424359.860 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.860 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424359.860 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.860 * [misc]taylor: Taking taylor expansion of n in n 1546424359.860 * [misc]backup-simplify: Simplify 0 into 0 1546424359.860 * [misc]backup-simplify: Simplify 1 into 1 1546424359.860 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.860 * [misc]backup-simplify: Simplify PI into PI 1546424359.860 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.861 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.861 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.861 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424359.861 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546424359.861 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546424359.861 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.861 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.862 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546424359.862 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424359.862 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.862 * [misc]backup-simplify: Simplify 2 into 2 1546424359.862 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424359.862 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424359.862 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424359.862 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.862 * [misc]taylor: Taking taylor expansion of n in n 1546424359.862 * [misc]backup-simplify: Simplify 0 into 0 1546424359.862 * [misc]backup-simplify: Simplify 1 into 1 1546424359.862 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.862 * [misc]backup-simplify: Simplify PI into PI 1546424359.862 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.863 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.863 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.864 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424359.864 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.865 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546424359.866 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546424359.866 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424359.866 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546424359.866 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424359.866 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.867 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.867 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.867 * [misc]backup-simplify: Simplify 0 into 0 1546424359.868 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424359.870 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424359.871 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424359.872 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424359.872 * [misc]backup-simplify: Simplify 0 into 0 1546424359.873 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546424359.874 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1546424359.877 * [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 1546424359.877 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546424359.877 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.877 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.878 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1546424359.879 * [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))) 1546424359.880 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424359.881 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424359.882 * [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))))))))) 1546424359.882 * [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 1546424359.882 * [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 1546424359.882 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546424359.883 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.883 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.883 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546424359.883 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546424359.883 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424359.883 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.883 * [misc]backup-simplify: Simplify 2 into 2 1546424359.883 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424359.883 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424359.884 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424359.884 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.884 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.884 * [misc]backup-simplify: Simplify 2 into 2 1546424359.884 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.884 * [misc]taylor: Taking taylor expansion of n in n 1546424359.884 * [misc]backup-simplify: Simplify 0 into 0 1546424359.884 * [misc]backup-simplify: Simplify 1 into 1 1546424359.884 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.884 * [misc]backup-simplify: Simplify PI into PI 1546424359.885 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.885 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424359.885 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.886 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424359.886 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.887 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424359.887 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.887 * [misc]taylor: Taking taylor expansion of n in n 1546424359.887 * [misc]backup-simplify: Simplify 0 into 0 1546424359.887 * [misc]backup-simplify: Simplify 1 into 1 1546424359.887 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.887 * [misc]backup-simplify: Simplify PI into PI 1546424359.887 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.888 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.888 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.888 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424359.888 * [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 1546424359.888 * [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 1546424359.888 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1546424359.888 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.888 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.888 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1546424359.888 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1546424359.889 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424359.889 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.889 * [misc]backup-simplify: Simplify 2 into 2 1546424359.889 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424359.889 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424359.889 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1546424359.889 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546424359.889 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546424359.889 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.889 * [misc]backup-simplify: Simplify 2 into 2 1546424359.889 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.889 * [misc]taylor: Taking taylor expansion of n in n 1546424359.889 * [misc]backup-simplify: Simplify 0 into 0 1546424359.889 * [misc]backup-simplify: Simplify 1 into 1 1546424359.889 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.889 * [misc]backup-simplify: Simplify PI into PI 1546424359.890 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.890 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424359.890 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.891 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546424359.891 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.892 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.892 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424359.892 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.892 * [misc]taylor: Taking taylor expansion of n in n 1546424359.892 * [misc]backup-simplify: Simplify 0 into 0 1546424359.892 * [misc]backup-simplify: Simplify 1 into 1 1546424359.892 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.892 * [misc]backup-simplify: Simplify PI into PI 1546424359.893 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.893 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.893 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.894 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424359.894 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546424359.894 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546424359.894 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.894 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.894 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546424359.894 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424359.894 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.894 * [misc]backup-simplify: Simplify 2 into 2 1546424359.895 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424359.895 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424359.895 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424359.895 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424359.895 * [misc]taylor: Taking taylor expansion of n in n 1546424359.895 * [misc]backup-simplify: Simplify 0 into 0 1546424359.895 * [misc]backup-simplify: Simplify 1 into 1 1546424359.895 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.895 * [misc]backup-simplify: Simplify PI into PI 1546424359.895 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424359.896 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424359.896 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.897 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424359.898 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.898 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546424359.899 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546424359.899 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424359.900 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.901 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.902 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1546424359.902 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1546424359.903 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1546424359.903 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424359.903 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546424359.904 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424359.904 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.904 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.904 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.904 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.904 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.904 * [misc]backup-simplify: Simplify 0 into 0 1546424359.906 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424359.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546424359.909 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424359.910 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546424359.911 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546424359.912 * [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)))))))) 1546424359.915 * [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)))))))) 1546424359.916 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424359.918 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424359.919 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424359.923 * [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)))))))))) 1546424359.926 * [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))))))) 1546424359.929 * [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))))))) 1546424359.930 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424359.932 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546424359.933 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546424359.936 * [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)))) 1546424359.940 * [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)))) 1546424359.942 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546424359.943 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546424359.950 * [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))))))))))))) 1546424359.950 * [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))))) 1546424359.951 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1546424359.951 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of k in n 1546424359.951 * [misc]backup-simplify: Simplify k into k 1546424359.951 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546424359.951 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546424359.951 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.951 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.951 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of k in n 1546424359.951 * [misc]backup-simplify: Simplify k into k 1546424359.951 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.951 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.951 * [misc]backup-simplify: Simplify 2 into 2 1546424359.951 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.951 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.951 * [misc]backup-simplify: Simplify PI into PI 1546424359.951 * [misc]taylor: Taking taylor expansion of n in n 1546424359.951 * [misc]backup-simplify: Simplify 0 into 0 1546424359.951 * [misc]backup-simplify: Simplify 1 into 1 1546424359.952 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.952 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.953 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.953 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.953 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.953 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.954 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.954 * [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))) 1546424359.955 * [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)))) 1546424359.955 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546424359.955 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424359.955 * [misc]taylor: Taking taylor expansion of k in k 1546424359.955 * [misc]backup-simplify: Simplify 0 into 0 1546424359.955 * [misc]backup-simplify: Simplify 1 into 1 1546424359.955 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.956 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424359.956 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424359.956 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546424359.956 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546424359.956 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424359.956 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.956 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.956 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.956 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.956 * [misc]taylor: Taking taylor expansion of k in k 1546424359.956 * [misc]backup-simplify: Simplify 0 into 0 1546424359.956 * [misc]backup-simplify: Simplify 1 into 1 1546424359.956 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.956 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546424359.956 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546424359.956 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.956 * [misc]backup-simplify: Simplify 2 into 2 1546424359.956 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.956 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.956 * [misc]backup-simplify: Simplify PI into PI 1546424359.956 * [misc]taylor: Taking taylor expansion of n in k 1546424359.956 * [misc]backup-simplify: Simplify n into n 1546424359.956 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.957 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546424359.957 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546424359.957 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.957 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424359.957 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424359.957 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546424359.957 * [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)))) 1546424359.957 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546424359.958 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424359.958 * [misc]taylor: Taking taylor expansion of k in k 1546424359.958 * [misc]backup-simplify: Simplify 0 into 0 1546424359.958 * [misc]backup-simplify: Simplify 1 into 1 1546424359.958 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.958 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424359.958 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424359.958 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546424359.958 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546424359.958 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424359.958 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.958 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.958 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.959 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.959 * [misc]taylor: Taking taylor expansion of k in k 1546424359.959 * [misc]backup-simplify: Simplify 0 into 0 1546424359.959 * [misc]backup-simplify: Simplify 1 into 1 1546424359.959 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.959 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546424359.959 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546424359.959 * [misc]taylor: Taking taylor expansion of 2 in k 1546424359.959 * [misc]backup-simplify: Simplify 2 into 2 1546424359.959 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.959 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.959 * [misc]backup-simplify: Simplify PI into PI 1546424359.959 * [misc]taylor: Taking taylor expansion of n in k 1546424359.959 * [misc]backup-simplify: Simplify n into n 1546424359.959 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.959 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546424359.959 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546424359.959 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.960 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424359.960 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424359.960 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546424359.960 * [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)))) 1546424359.960 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1546424359.960 * [misc]taylor: Taking taylor expansion of 0 in n 1546424359.960 * [misc]backup-simplify: Simplify 0 into 0 1546424359.960 * [misc]backup-simplify: Simplify 0 into 0 1546424359.961 * [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)))))) 1546424359.961 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.961 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.961 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.961 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.961 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of k in n 1546424359.961 * [misc]backup-simplify: Simplify k into k 1546424359.961 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.961 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.961 * [misc]backup-simplify: Simplify 2 into 2 1546424359.961 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.961 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.961 * [misc]backup-simplify: Simplify PI into PI 1546424359.961 * [misc]taylor: Taking taylor expansion of n in n 1546424359.962 * [misc]backup-simplify: Simplify 0 into 0 1546424359.962 * [misc]backup-simplify: Simplify 1 into 1 1546424359.962 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.962 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.963 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.963 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.963 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.963 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.964 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.964 * [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))) 1546424359.965 * [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)))) 1546424359.966 * [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))))) 1546424359.966 * [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)))))) 1546424359.967 * [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)))))) 1546424359.967 * [misc]backup-simplify: Simplify 0 into 0 1546424359.968 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424359.969 * [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)))))) 1546424359.969 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.969 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.969 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of k in n 1546424359.969 * [misc]backup-simplify: Simplify k into k 1546424359.969 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.969 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.969 * [misc]backup-simplify: Simplify 2 into 2 1546424359.969 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.969 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.969 * [misc]backup-simplify: Simplify PI into PI 1546424359.969 * [misc]taylor: Taking taylor expansion of n in n 1546424359.969 * [misc]backup-simplify: Simplify 0 into 0 1546424359.969 * [misc]backup-simplify: Simplify 1 into 1 1546424359.970 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.970 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.970 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.970 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.971 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.971 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.971 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.972 * [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))) 1546424359.973 * [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)))) 1546424359.973 * [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))))) 1546424359.974 * [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)))))) 1546424359.975 * [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)))))) 1546424359.975 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424359.976 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546424359.977 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546424359.978 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424359.978 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424359.978 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.978 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424359.978 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.979 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546424359.980 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424359.980 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546424359.980 * [misc]backup-simplify: Simplify (- 0) into 0 1546424359.980 * [misc]backup-simplify: Simplify 0 into 0 1546424359.980 * [misc]backup-simplify: Simplify 0 into 0 1546424359.981 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424359.981 * [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)))))) 1546424359.981 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424359.981 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424359.981 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.982 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.982 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424359.982 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546424359.982 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546424359.982 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424359.982 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.982 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.982 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.982 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.982 * [misc]taylor: Taking taylor expansion of k in n 1546424359.982 * [misc]backup-simplify: Simplify k into k 1546424359.982 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.982 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546424359.982 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546424359.982 * [misc]taylor: Taking taylor expansion of 2 in n 1546424359.982 * [misc]backup-simplify: Simplify 2 into 2 1546424359.982 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.982 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.982 * [misc]backup-simplify: Simplify PI into PI 1546424359.982 * [misc]taylor: Taking taylor expansion of n in n 1546424359.982 * [misc]backup-simplify: Simplify 0 into 0 1546424359.982 * [misc]backup-simplify: Simplify 1 into 1 1546424359.982 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.982 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546424359.982 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546424359.983 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.983 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424359.983 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424359.983 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546424359.983 * [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))) 1546424359.984 * [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)))) 1546424359.984 * [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))))) 1546424359.985 * [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)))))) 1546424359.985 * [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)))))) 1546424359.987 * [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)))))))) 1546424359.987 * [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))) 1546424359.987 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546424359.987 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.987 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of k in n 1546424359.987 * [misc]backup-simplify: Simplify k into k 1546424359.987 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.987 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.987 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.987 * [misc]backup-simplify: Simplify -2 into -2 1546424359.987 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.987 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.987 * [misc]backup-simplify: Simplify PI into PI 1546424359.987 * [misc]taylor: Taking taylor expansion of n in n 1546424359.987 * [misc]backup-simplify: Simplify 0 into 0 1546424359.987 * [misc]backup-simplify: Simplify 1 into 1 1546424359.988 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.988 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.988 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.988 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.988 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424359.989 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.989 * [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))) 1546424359.989 * [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)))) 1546424359.989 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546424359.989 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546424359.989 * [misc]taylor: Taking taylor expansion of -1 in n 1546424359.989 * [misc]backup-simplify: Simplify -1 into -1 1546424359.989 * [misc]taylor: Taking taylor expansion of k in n 1546424359.989 * [misc]backup-simplify: Simplify k into k 1546424359.989 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546424359.990 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546424359.990 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546424359.990 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546424359.990 * [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))) 1546424359.990 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546424359.990 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424359.990 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546424359.990 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546424359.990 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424359.990 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.990 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.990 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.990 * [misc]taylor: Taking taylor expansion of k in k 1546424359.990 * [misc]backup-simplify: Simplify 0 into 0 1546424359.990 * [misc]backup-simplify: Simplify 1 into 1 1546424359.990 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.990 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.990 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546424359.990 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546424359.991 * [misc]taylor: Taking taylor expansion of -2 in k 1546424359.991 * [misc]backup-simplify: Simplify -2 into -2 1546424359.991 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.991 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.991 * [misc]backup-simplify: Simplify PI into PI 1546424359.991 * [misc]taylor: Taking taylor expansion of n in k 1546424359.991 * [misc]backup-simplify: Simplify n into n 1546424359.991 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.991 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546424359.991 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546424359.991 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.991 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.991 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546424359.991 * [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))) 1546424359.991 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424359.991 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424359.991 * [misc]taylor: Taking taylor expansion of -1 in k 1546424359.991 * [misc]backup-simplify: Simplify -1 into -1 1546424359.991 * [misc]taylor: Taking taylor expansion of k in k 1546424359.991 * [misc]backup-simplify: Simplify 0 into 0 1546424359.991 * [misc]backup-simplify: Simplify 1 into 1 1546424359.991 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424359.991 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.992 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424359.992 * [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)))) 1546424359.992 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.992 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of k in k 1546424359.992 * [misc]backup-simplify: Simplify 0 into 0 1546424359.992 * [misc]backup-simplify: Simplify 1 into 1 1546424359.992 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424359.992 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424359.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.992 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of -2 in k 1546424359.992 * [misc]backup-simplify: Simplify -2 into -2 1546424359.992 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546424359.992 * [misc]taylor: Taking taylor expansion of PI in k 1546424359.992 * [misc]backup-simplify: Simplify PI into PI 1546424359.992 * [misc]taylor: Taking taylor expansion of n in k 1546424359.992 * [misc]backup-simplify: Simplify n into n 1546424359.992 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546424359.992 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546424359.993 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546424359.993 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424359.993 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424359.993 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546424359.993 * [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))) 1546424359.993 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424359.993 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424359.993 * [misc]taylor: Taking taylor expansion of -1 in k 1546424359.993 * [misc]backup-simplify: Simplify -1 into -1 1546424359.993 * [misc]taylor: Taking taylor expansion of k in k 1546424359.993 * [misc]backup-simplify: Simplify 0 into 0 1546424359.993 * [misc]backup-simplify: Simplify 1 into 1 1546424359.993 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424359.993 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424359.993 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424359.994 * [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)))) 1546424359.994 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424359.994 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.994 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.994 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424359.994 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424359.994 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424359.994 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.994 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.994 * [misc]backup-simplify: Simplify -2 into -2 1546424359.994 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.994 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.994 * [misc]backup-simplify: Simplify PI into PI 1546424359.994 * [misc]taylor: Taking taylor expansion of n in n 1546424359.994 * [misc]backup-simplify: Simplify 0 into 0 1546424359.994 * [misc]backup-simplify: Simplify 1 into 1 1546424359.994 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.994 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.995 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.995 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424359.995 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.995 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.995 * [misc]taylor: Taking taylor expansion of k in n 1546424359.995 * [misc]backup-simplify: Simplify k into k 1546424359.995 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424359.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.995 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424359.996 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424359.996 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424359.996 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546424359.996 * [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)))) 1546424359.997 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546424359.997 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546424359.997 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546424359.998 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424359.998 * [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))))) 1546424359.998 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546424359.998 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424359.999 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424359.999 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424359.999 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424359.999 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424359.999 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424359.999 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424359.999 * [misc]taylor: Taking taylor expansion of -2 in n 1546424359.999 * [misc]backup-simplify: Simplify -2 into -2 1546424359.999 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424359.999 * [misc]taylor: Taking taylor expansion of PI in n 1546424359.999 * [misc]backup-simplify: Simplify PI into PI 1546424359.999 * [misc]taylor: Taking taylor expansion of n in n 1546424359.999 * [misc]backup-simplify: Simplify 0 into 0 1546424359.999 * [misc]backup-simplify: Simplify 1 into 1 1546424359.999 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424359.999 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424359.999 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424359.999 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424359.999 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424359.999 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424359.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424359.999 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424359.999 * [misc]taylor: Taking taylor expansion of k in n 1546424359.999 * [misc]backup-simplify: Simplify k into k 1546424360.000 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424360.000 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424360.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424360.000 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424360.000 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424360.000 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424360.001 * [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))) 1546424360.001 * [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)))) 1546424360.001 * [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))))) 1546424360.002 * [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)))))) 1546424360.002 * [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)))))) 1546424360.003 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424360.003 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424360.003 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424360.003 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424360.004 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546424360.005 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546424360.007 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546424360.008 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546424360.009 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424360.010 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1546424360.010 * [misc]backup-simplify: Simplify 0 into 0 1546424360.011 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424360.012 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424360.013 * [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))))) 1546424360.013 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546424360.013 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424360.013 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424360.013 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424360.013 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424360.013 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424360.013 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546424360.013 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546424360.013 * [misc]taylor: Taking taylor expansion of -2 in n 1546424360.013 * [misc]backup-simplify: Simplify -2 into -2 1546424360.013 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546424360.013 * [misc]taylor: Taking taylor expansion of PI in n 1546424360.013 * [misc]backup-simplify: Simplify PI into PI 1546424360.013 * [misc]taylor: Taking taylor expansion of n in n 1546424360.013 * [misc]backup-simplify: Simplify 0 into 0 1546424360.013 * [misc]backup-simplify: Simplify 1 into 1 1546424360.013 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546424360.014 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546424360.014 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546424360.014 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424360.014 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424360.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424360.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424360.014 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424360.014 * [misc]taylor: Taking taylor expansion of k in n 1546424360.014 * [misc]backup-simplify: Simplify k into k 1546424360.014 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424360.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424360.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424360.015 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546424360.015 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424360.016 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424360.016 * [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))) 1546424360.017 * [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)))) 1546424360.017 * [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))))) 1546424360.018 * [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)))))) 1546424360.019 * [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)))))) 1546424360.021 * [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))))))))))) 1546424360.021 * * * [misc]progress: simplifying candidates 1546424360.021 * * * * [misc]progress: [ 1 / 128 ] simplifiying candidate # 1546424360.022 * * * * [misc]progress: [ 2 / 128 ] simplifiying candidate # 1546424360.022 * * * * [misc]progress: [ 3 / 128 ] simplifiying candidate # 1546424360.022 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546424360.022 * * [misc]simplify: iters left: 6 (11 enodes) 1546424360.025 * * [misc]simplify: iters left: 5 (21 enodes) 1546424360.033 * * [misc]simplify: iters left: 4 (47 enodes) 1546424360.051 * * [misc]simplify: iters left: 3 (113 enodes) 1546424360.110 * * [misc]simplify: iters left: 2 (328 enodes) 1546424360.390 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546424360.390 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1546424360.390 * * * * [misc]progress: [ 4 / 128 ] simplifiying candidate # 1546424360.390 * * * * [misc]progress: [ 5 / 128 ] simplifiying candidate # 1546424360.390 * [enter]simplify: Simplifying (* PI (* n 2)) 1546424360.391 * * [misc]simplify: iters left: 4 (5 enodes) 1546424360.392 * * [misc]simplify: iters left: 3 (9 enodes) 1546424360.395 * * [misc]simplify: iters left: 2 (15 enodes) 1546424360.399 * * [misc]simplify: iters left: 1 (17 enodes) 1546424360.403 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546424360.403 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1546424360.403 * * * * [misc]progress: [ 6 / 128 ] simplifiying candidate # 1546424360.404 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546424360.404 * * [misc]simplify: iters left: 5 (8 enodes) 1546424360.406 * * [misc]simplify: iters left: 4 (12 enodes) 1546424360.410 * * [misc]simplify: iters left: 3 (18 enodes) 1546424360.415 * * [misc]simplify: iters left: 2 (20 enodes) 1546424360.420 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546424360.420 * [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)))))) 1546424360.420 * * * * [misc]progress: [ 7 / 128 ] simplifiying candidate # 1546424360.420 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546424360.420 * * [misc]simplify: iters left: 5 (6 enodes) 1546424360.422 * * [misc]simplify: iters left: 4 (8 enodes) 1546424360.424 * * [misc]simplify: iters left: 3 (11 enodes) 1546424360.427 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546424360.427 * [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))))))) 1546424360.427 * * * * [misc]progress: [ 8 / 128 ] simplifiying candidate # 1546424360.428 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546424360.428 * * [misc]simplify: iters left: 5 (6 enodes) 1546424360.429 * * [misc]simplify: iters left: 4 (8 enodes) 1546424360.432 * * [misc]simplify: iters left: 3 (11 enodes) 1546424360.435 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546424360.435 * [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))))))) 1546424360.435 * * * * [misc]progress: [ 9 / 128 ] simplifiying candidate # 1546424360.435 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546424360.435 * * [misc]simplify: iters left: 4 (5 enodes) 1546424360.437 * * [misc]simplify: iters left: 3 (7 enodes) 1546424360.439 * * [misc]simplify: iters left: 2 (10 enodes) 1546424360.442 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546424360.442 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1546424360.442 * * * * [misc]progress: [ 10 / 128 ] simplifiying candidate # 1546424360.442 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546424360.442 * * [misc]simplify: iters left: 5 (9 enodes) 1546424360.448 * * [misc]simplify: iters left: 4 (15 enodes) 1546424360.453 * * [misc]simplify: iters left: 3 (21 enodes) 1546424360.459 * * [misc]simplify: iters left: 2 (22 enodes) 1546424360.464 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546424360.464 * [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))))))) 1546424360.464 * * * * [misc]progress: [ 11 / 128 ] simplifiying candidate # 1546424360.465 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546424360.465 * * [misc]simplify: iters left: 5 (9 enodes) 1546424360.468 * * [misc]simplify: iters left: 4 (15 enodes) 1546424360.472 * * [misc]simplify: iters left: 3 (21 enodes) 1546424360.477 * * [misc]simplify: iters left: 2 (22 enodes) 1546424360.479 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546424360.479 * [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))))))) 1546424360.479 * * * * [misc]progress: [ 12 / 128 ] simplifiying candidate # 1546424360.480 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546424360.480 * * [misc]simplify: iters left: 5 (7 enodes) 1546424360.481 * * [misc]simplify: iters left: 4 (9 enodes) 1546424360.482 * * [misc]simplify: iters left: 3 (12 enodes) 1546424360.484 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546424360.484 * [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))))))) 1546424360.484 * * * * [misc]progress: [ 13 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 14 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 15 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 16 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 17 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 18 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 19 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 20 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 21 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 22 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 23 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 24 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 25 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 26 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 27 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 28 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 29 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 30 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 31 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 32 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 33 / 128 ] simplifiying candidate # 1546424360.484 * * * * [misc]progress: [ 34 / 128 ] simplifiying candidate # 1546424360.485 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546424360.485 * * [misc]simplify: iters left: 6 (14 enodes) 1546424360.487 * * [misc]simplify: iters left: 5 (26 enodes) 1546424360.491 * * [misc]simplify: iters left: 4 (59 enodes) 1546424360.508 * * [misc]simplify: iters left: 3 (172 enodes) 1546424360.610 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1546424360.611 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1546424360.611 * * * * [misc]progress: [ 35 / 128 ] simplifiying candidate # 1546424360.611 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546424360.611 * * [misc]simplify: iters left: 6 (14 enodes) 1546424360.616 * * [misc]simplify: iters left: 5 (26 enodes) 1546424360.625 * * [misc]simplify: iters left: 4 (59 enodes) 1546424360.642 * * [misc]simplify: iters left: 3 (172 enodes) 1546424360.710 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1546424360.710 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1546424360.710 * * * * [misc]progress: [ 36 / 128 ] simplifiying candidate # 1546424360.711 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424360.711 * * [misc]simplify: iters left: 6 (14 enodes) 1546424360.715 * * [misc]simplify: iters left: 5 (24 enodes) 1546424360.723 * * [misc]simplify: iters left: 4 (46 enodes) 1546424360.739 * * [misc]simplify: iters left: 3 (105 enodes) 1546424360.792 * * [misc]simplify: iters left: 2 (354 enodes) 1546424361.090 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k))) 1546424361.090 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k)))))) 1546424361.090 * * * * [misc]progress: [ 37 / 128 ] simplifiying candidate # 1546424361.090 * * * * [misc]progress: [ 38 / 128 ] simplifiying candidate # 1546424361.090 * * * * [misc]progress: [ 39 / 128 ] simplifiying candidate # 1546424361.090 * [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))))) 1546424361.090 * * [misc]simplify: iters left: 6 (16 enodes) 1546424361.093 * * [misc]simplify: iters left: 5 (31 enodes) 1546424361.100 * * [misc]simplify: iters left: 4 (70 enodes) 1546424361.116 * * [misc]simplify: iters left: 3 (130 enodes) 1546424361.161 * * [misc]simplify: iters left: 2 (206 enodes) 1546424361.228 * * [misc]simplify: iters left: 1 (288 enodes) 1546424361.374 * [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))))) 1546424361.374 * [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)))))))) 1546424361.374 * * * * [misc]progress: [ 40 / 128 ] simplifiying candidate # 1546424361.374 * * * * [misc]progress: [ 41 / 128 ] simplifiying candidate # 1546424361.375 * * * * [misc]progress: [ 42 / 128 ] simplifiying candidate # 1546424361.375 * * * * [misc]progress: [ 43 / 128 ] simplifiying candidate # 1546424361.375 * * * * [misc]progress: [ 44 / 128 ] simplifiying candidate # 1546424361.375 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546424361.375 * * [misc]simplify: iters left: 6 (12 enodes) 1546424361.379 * * [misc]simplify: iters left: 5 (19 enodes) 1546424361.384 * * [misc]simplify: iters left: 4 (27 enodes) 1546424361.389 * * [misc]simplify: iters left: 3 (29 enodes) 1546424361.393 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546424361.393 * [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))))))) 1546424361.393 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424361.393 * * [misc]simplify: iters left: 6 (12 enodes) 1546424361.395 * * [misc]simplify: iters left: 5 (18 enodes) 1546424361.398 * * [misc]simplify: iters left: 4 (24 enodes) 1546424361.402 * * [misc]simplify: iters left: 3 (25 enodes) 1546424361.405 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546424361.405 * [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))))))) 1546424361.405 * * * * [misc]progress: [ 45 / 128 ] simplifiying candidate # 1546424361.405 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546424361.405 * * [misc]simplify: iters left: 6 (12 enodes) 1546424361.407 * * [misc]simplify: iters left: 5 (19 enodes) 1546424361.410 * * [misc]simplify: iters left: 4 (27 enodes) 1546424361.413 * * [misc]simplify: iters left: 3 (29 enodes) 1546424361.417 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546424361.417 * [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))))))) 1546424361.417 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424361.417 * * [misc]simplify: iters left: 6 (12 enodes) 1546424361.419 * * [misc]simplify: iters left: 5 (18 enodes) 1546424361.421 * * [misc]simplify: iters left: 4 (24 enodes) 1546424361.425 * * [misc]simplify: iters left: 3 (25 enodes) 1546424361.428 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546424361.428 * [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))))))) 1546424361.428 * * * * [misc]progress: [ 46 / 128 ] simplifiying candidate # 1546424361.428 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546424361.428 * * [misc]simplify: iters left: 6 (11 enodes) 1546424361.430 * * [misc]simplify: iters left: 5 (15 enodes) 1546424361.432 * * [misc]simplify: iters left: 4 (20 enodes) 1546424361.434 * * [misc]simplify: iters left: 3 (21 enodes) 1546424361.437 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546424361.437 * [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))))))) 1546424361.437 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424361.438 * * [misc]simplify: iters left: 6 (11 enodes) 1546424361.439 * * [misc]simplify: iters left: 5 (14 enodes) 1546424361.443 * * [misc]simplify: iters left: 4 (17 enodes) 1546424361.448 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424361.448 * [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))))))) 1546424361.448 * * * * [misc]progress: [ 47 / 128 ] simplifiying candidate # 1546424361.448 * [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)))))) 1546424361.448 * * [misc]simplify: iters left: 6 (16 enodes) 1546424361.453 * * [misc]simplify: iters left: 5 (28 enodes) 1546424361.458 * * [misc]simplify: iters left: 4 (46 enodes) 1546424361.465 * * [misc]simplify: iters left: 3 (50 enodes) 1546424361.471 * * [misc]simplify: iters left: 2 (53 enodes) 1546424361.477 * [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)))))) 1546424361.477 * [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)))))))) 1546424361.477 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424361.478 * * [misc]simplify: iters left: 6 (14 enodes) 1546424361.480 * * [misc]simplify: iters left: 5 (20 enodes) 1546424361.483 * * [misc]simplify: iters left: 4 (29 enodes) 1546424361.487 * * [misc]simplify: iters left: 3 (30 enodes) 1546424361.491 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424361.491 * [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)))))))) 1546424361.491 * * * * [misc]progress: [ 48 / 128 ] simplifiying candidate # 1546424361.491 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424361.491 * * [misc]simplify: iters left: 6 (15 enodes) 1546424361.493 * * [misc]simplify: iters left: 5 (23 enodes) 1546424361.496 * * [misc]simplify: iters left: 4 (34 enodes) 1546424361.501 * * [misc]simplify: iters left: 3 (36 enodes) 1546424361.506 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424361.506 * [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)))))))) 1546424361.506 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424361.506 * * [misc]simplify: iters left: 6 (14 enodes) 1546424361.508 * * [misc]simplify: iters left: 5 (20 enodes) 1546424361.511 * * [misc]simplify: iters left: 4 (29 enodes) 1546424361.518 * * [misc]simplify: iters left: 3 (30 enodes) 1546424361.526 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424361.526 * [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)))))))) 1546424361.526 * * * * [misc]progress: [ 49 / 128 ] simplifiying candidate # 1546424361.526 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546424361.526 * * [misc]simplify: iters left: 6 (6 enodes) 1546424361.528 * * [misc]simplify: iters left: 5 (10 enodes) 1546424361.532 * * [misc]simplify: iters left: 4 (16 enodes) 1546424361.535 * * [misc]simplify: iters left: 3 (18 enodes) 1546424361.539 * * [misc]simplify: iters left: 2 (23 enodes) 1546424361.542 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546424361.542 * [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))))))) 1546424361.542 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424361.542 * * [misc]simplify: iters left: 6 (13 enodes) 1546424361.544 * * [misc]simplify: iters left: 5 (19 enodes) 1546424361.547 * * [misc]simplify: iters left: 4 (28 enodes) 1546424361.550 * * [misc]simplify: iters left: 3 (30 enodes) 1546424361.554 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546424361.554 * [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))))))) 1546424361.554 * * * * [misc]progress: [ 50 / 128 ] simplifiying candidate # 1546424361.554 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546424361.554 * * [misc]simplify: iters left: 6 (11 enodes) 1546424361.556 * * [misc]simplify: iters left: 5 (16 enodes) 1546424361.558 * * [misc]simplify: iters left: 4 (22 enodes) 1546424361.561 * * [misc]simplify: iters left: 3 (23 enodes) 1546424361.564 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546424361.564 * [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))))))) 1546424361.564 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424361.564 * * [misc]simplify: iters left: 6 (12 enodes) 1546424361.568 * * [misc]simplify: iters left: 5 (18 enodes) 1546424361.574 * * [misc]simplify: iters left: 4 (24 enodes) 1546424361.580 * * [misc]simplify: iters left: 3 (25 enodes) 1546424361.587 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546424361.587 * [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))))))) 1546424361.587 * * * * [misc]progress: [ 51 / 128 ] simplifiying candidate # 1546424361.588 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546424361.588 * * [misc]simplify: iters left: 6 (11 enodes) 1546424361.591 * * [misc]simplify: iters left: 5 (16 enodes) 1546424361.596 * * [misc]simplify: iters left: 4 (22 enodes) 1546424361.602 * * [misc]simplify: iters left: 3 (23 enodes) 1546424361.607 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546424361.607 * [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))))))) 1546424361.608 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424361.608 * * [misc]simplify: iters left: 6 (12 enodes) 1546424361.609 * * [misc]simplify: iters left: 5 (18 enodes) 1546424361.612 * * [misc]simplify: iters left: 4 (24 enodes) 1546424361.615 * * [misc]simplify: iters left: 3 (25 enodes) 1546424361.618 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546424361.618 * [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))))))) 1546424361.618 * * * * [misc]progress: [ 52 / 128 ] simplifiying candidate # 1546424361.619 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546424361.619 * * [misc]simplify: iters left: 6 (10 enodes) 1546424361.620 * * [misc]simplify: iters left: 5 (12 enodes) 1546424361.622 * * [misc]simplify: iters left: 4 (15 enodes) 1546424361.624 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546424361.624 * [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))))))) 1546424361.624 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424361.624 * * [misc]simplify: iters left: 6 (11 enodes) 1546424361.626 * * [misc]simplify: iters left: 5 (14 enodes) 1546424361.628 * * [misc]simplify: iters left: 4 (17 enodes) 1546424361.630 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424361.630 * [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))))))) 1546424361.630 * * * * [misc]progress: [ 53 / 128 ] simplifiying candidate # 1546424361.630 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546424361.630 * * [misc]simplify: iters left: 6 (15 enodes) 1546424361.632 * * [misc]simplify: iters left: 5 (23 enodes) 1546424361.636 * * [misc]simplify: iters left: 4 (32 enodes) 1546424361.640 * * [misc]simplify: iters left: 3 (34 enodes) 1546424361.649 * [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)))))) 1546424361.650 * [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)))))))) 1546424361.650 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424361.650 * * [misc]simplify: iters left: 6 (14 enodes) 1546424361.654 * * [misc]simplify: iters left: 5 (20 enodes) 1546424361.660 * * [misc]simplify: iters left: 4 (29 enodes) 1546424361.668 * * [misc]simplify: iters left: 3 (30 enodes) 1546424361.675 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424361.675 * [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)))))))) 1546424361.675 * * * * [misc]progress: [ 54 / 128 ] simplifiying candidate # 1546424361.676 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424361.676 * * [misc]simplify: iters left: 6 (14 enodes) 1546424361.680 * * [misc]simplify: iters left: 5 (20 enodes) 1546424361.686 * * [misc]simplify: iters left: 4 (29 enodes) 1546424361.695 * * [misc]simplify: iters left: 3 (30 enodes) 1546424361.703 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424361.703 * [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)))))))) 1546424361.703 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424361.703 * * [misc]simplify: iters left: 6 (14 enodes) 1546424361.707 * * [misc]simplify: iters left: 5 (20 enodes) 1546424361.714 * * [misc]simplify: iters left: 4 (29 enodes) 1546424361.721 * * [misc]simplify: iters left: 3 (30 enodes) 1546424361.729 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424361.729 * [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)))))))) 1546424361.729 * * * * [misc]progress: [ 55 / 128 ] simplifiying candidate # 1546424361.730 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546424361.730 * * [misc]simplify: iters left: 4 (5 enodes) 1546424361.731 * * [misc]simplify: iters left: 3 (7 enodes) 1546424361.734 * * [misc]simplify: iters left: 2 (9 enodes) 1546424361.736 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546424361.736 * [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))))))) 1546424361.736 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424361.736 * * [misc]simplify: iters left: 6 (13 enodes) 1546424361.741 * * [misc]simplify: iters left: 5 (19 enodes) 1546424361.746 * * [misc]simplify: iters left: 4 (28 enodes) 1546424361.754 * * [misc]simplify: iters left: 3 (30 enodes) 1546424361.761 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546424361.761 * [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))))))) 1546424361.761 * * * * [misc]progress: [ 56 / 128 ] simplifiying candidate # 1546424361.762 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546424361.762 * * [misc]simplify: iters left: 6 (9 enodes) 1546424361.765 * * [misc]simplify: iters left: 5 (16 enodes) 1546424361.769 * * [misc]simplify: iters left: 4 (22 enodes) 1546424361.774 * * [misc]simplify: iters left: 3 (23 enodes) 1546424361.781 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546424361.781 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546424361.781 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424361.782 * * [misc]simplify: iters left: 6 (11 enodes) 1546424361.785 * * [misc]simplify: iters left: 5 (17 enodes) 1546424361.790 * * [misc]simplify: iters left: 4 (23 enodes) 1546424361.797 * * [misc]simplify: iters left: 3 (24 enodes) 1546424361.803 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546424361.803 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546424361.803 * * * * [misc]progress: [ 57 / 128 ] simplifiying candidate # 1546424361.803 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546424361.803 * * [misc]simplify: iters left: 6 (9 enodes) 1546424361.806 * * [misc]simplify: iters left: 5 (16 enodes) 1546424361.810 * * [misc]simplify: iters left: 4 (22 enodes) 1546424361.816 * * [misc]simplify: iters left: 3 (23 enodes) 1546424361.821 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546424361.821 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546424361.822 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424361.822 * * [misc]simplify: iters left: 6 (11 enodes) 1546424361.825 * * [misc]simplify: iters left: 5 (17 enodes) 1546424361.830 * * [misc]simplify: iters left: 4 (23 enodes) 1546424361.833 * * [misc]simplify: iters left: 3 (24 enodes) 1546424361.837 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546424361.837 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546424361.837 * * * * [misc]progress: [ 58 / 128 ] simplifiying candidate # 1546424361.838 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546424361.838 * * [misc]simplify: iters left: 6 (9 enodes) 1546424361.839 * * [misc]simplify: iters left: 5 (13 enodes) 1546424361.840 * * [misc]simplify: iters left: 4 (16 enodes) 1546424361.842 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546424361.842 * [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))))))) 1546424361.843 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424361.843 * * [misc]simplify: iters left: 6 (10 enodes) 1546424361.844 * * [misc]simplify: iters left: 5 (13 enodes) 1546424361.846 * * [misc]simplify: iters left: 4 (16 enodes) 1546424361.849 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424361.849 * [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))))))) 1546424361.849 * * * * [misc]progress: [ 59 / 128 ] simplifiying candidate # 1546424361.849 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546424361.849 * * [misc]simplify: iters left: 6 (14 enodes) 1546424361.851 * * [misc]simplify: iters left: 5 (24 enodes) 1546424361.854 * * [misc]simplify: iters left: 4 (33 enodes) 1546424361.859 * * [misc]simplify: iters left: 3 (34 enodes) 1546424361.863 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546424361.863 * [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)))))))) 1546424361.863 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424361.863 * * [misc]simplify: iters left: 6 (13 enodes) 1546424361.867 * * [misc]simplify: iters left: 5 (19 enodes) 1546424361.873 * * [misc]simplify: iters left: 4 (28 enodes) 1546424361.880 * * [misc]simplify: iters left: 3 (30 enodes) 1546424361.888 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546424361.888 * [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)))))))) 1546424361.888 * * * * [misc]progress: [ 60 / 128 ] simplifiying candidate # 1546424361.888 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424361.889 * * [misc]simplify: iters left: 6 (13 enodes) 1546424361.893 * * [misc]simplify: iters left: 5 (21 enodes) 1546424361.899 * * [misc]simplify: iters left: 4 (30 enodes) 1546424361.907 * * [misc]simplify: iters left: 3 (31 enodes) 1546424361.914 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1546424361.914 * [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)))))))) 1546424361.914 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424361.915 * * [misc]simplify: iters left: 6 (13 enodes) 1546424361.919 * * [misc]simplify: iters left: 5 (19 enodes) 1546424361.924 * * [misc]simplify: iters left: 4 (28 enodes) 1546424361.932 * * [misc]simplify: iters left: 3 (30 enodes) 1546424361.939 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546424361.940 * [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)))))))) 1546424361.940 * * * * [misc]progress: [ 61 / 128 ] simplifiying candidate # 1546424361.940 * [enter]simplify: Simplifying (/ 1 1) 1546424361.940 * * [misc]simplify: iters left: 2 (2 enodes) 1546424361.941 * * [misc]simplify: iters left: 1 (4 enodes) 1546424361.941 * [exit]simplify: Simplified to 1 1546424361.941 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546424361.942 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424361.942 * * [misc]simplify: iters left: 6 (12 enodes) 1546424361.945 * * [misc]simplify: iters left: 5 (18 enodes) 1546424361.951 * * [misc]simplify: iters left: 4 (27 enodes) 1546424361.955 * * [misc]simplify: iters left: 3 (29 enodes) 1546424361.959 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424361.959 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546424361.959 * * * * [misc]progress: [ 62 / 128 ] simplifiying candidate # 1546424361.959 * * * * [misc]progress: [ 63 / 128 ] simplifiying candidate # 1546424361.959 * * * * [misc]progress: [ 64 / 128 ] simplifiying candidate # 1546424361.959 * * * * [misc]progress: [ 65 / 128 ] simplifiying candidate # 1546424361.959 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546424361.959 * * [misc]simplify: iters left: 5 (9 enodes) 1546424361.961 * * [misc]simplify: iters left: 4 (15 enodes) 1546424361.963 * * [misc]simplify: iters left: 3 (21 enodes) 1546424361.966 * * [misc]simplify: iters left: 2 (22 enodes) 1546424361.968 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546424361.968 * [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)))))) 1546424361.968 * * * * [misc]progress: [ 66 / 128 ] simplifiying candidate # 1546424361.968 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546424361.969 * * [misc]simplify: iters left: 5 (9 enodes) 1546424361.970 * * [misc]simplify: iters left: 4 (15 enodes) 1546424361.972 * * [misc]simplify: iters left: 3 (21 enodes) 1546424361.975 * * [misc]simplify: iters left: 2 (22 enodes) 1546424361.977 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546424361.977 * [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)))))) 1546424361.977 * * * * [misc]progress: [ 67 / 128 ] simplifiying candidate # 1546424361.978 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546424361.978 * * [misc]simplify: iters left: 5 (8 enodes) 1546424361.979 * * [misc]simplify: iters left: 4 (11 enodes) 1546424361.982 * * [misc]simplify: iters left: 3 (14 enodes) 1546424361.986 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546424361.986 * [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)))))) 1546424361.986 * * * * [misc]progress: [ 68 / 128 ] simplifiying candidate # 1546424361.986 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424361.986 * * [misc]simplify: iters left: 6 (11 enodes) 1546424361.990 * * [misc]simplify: iters left: 5 (17 enodes) 1546424361.993 * * [misc]simplify: iters left: 4 (26 enodes) 1546424361.996 * * [misc]simplify: iters left: 3 (27 enodes) 1546424362.000 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546424362.000 * [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))))))) 1546424362.000 * * * * [misc]progress: [ 69 / 128 ] simplifiying candidate # 1546424362.000 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424362.000 * * [misc]simplify: iters left: 6 (11 enodes) 1546424362.002 * * [misc]simplify: iters left: 5 (17 enodes) 1546424362.004 * * [misc]simplify: iters left: 4 (26 enodes) 1546424362.008 * * [misc]simplify: iters left: 3 (27 enodes) 1546424362.011 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546424362.011 * [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))))))) 1546424362.011 * * * * [misc]progress: [ 70 / 128 ] simplifiying candidate # 1546424362.011 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546424362.011 * * [misc]simplify: iters left: 5 (10 enodes) 1546424362.013 * * [misc]simplify: iters left: 4 (16 enodes) 1546424362.015 * * [misc]simplify: iters left: 3 (25 enodes) 1546424362.018 * * [misc]simplify: iters left: 2 (26 enodes) 1546424362.022 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546424362.022 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546424362.022 * * * * [misc]progress: [ 71 / 128 ] simplifiying candidate # 1546424362.022 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546424362.022 * * [misc]simplify: iters left: 4 (4 enodes) 1546424362.023 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546424362.023 * [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)))))) 1546424362.023 * * * * [misc]progress: [ 72 / 128 ] simplifiying candidate # 1546424362.023 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546424362.023 * * [misc]simplify: iters left: 2 (3 enodes) 1546424362.023 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546424362.023 * [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)))))) 1546424362.023 * * * * [misc]progress: [ 73 / 128 ] simplifiying candidate # 1546424362.023 * * * * [misc]progress: [ 74 / 128 ] simplifiying candidate # 1546424362.024 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546424362.024 * * [misc]simplify: iters left: 5 (8 enodes) 1546424362.026 * * [misc]simplify: iters left: 4 (12 enodes) 1546424362.030 * * [misc]simplify: iters left: 3 (18 enodes) 1546424362.035 * * [misc]simplify: iters left: 2 (20 enodes) 1546424362.040 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546424362.040 * [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))))) 1546424362.040 * * * * [misc]progress: [ 75 / 128 ] simplifiying candidate # 1546424362.040 * * * * [misc]progress: [ 76 / 128 ] simplifiying candidate # 1546424362.040 * * * * [misc]progress: [ 77 / 128 ] simplifiying candidate # 1546424362.040 * * * * [misc]progress: [ 78 / 128 ] simplifiying candidate # 1546424362.040 * [enter]simplify: Simplifying (- 1) 1546424362.040 * * [misc]simplify: iters left: 2 (2 enodes) 1546424362.042 * * [misc]simplify: iters left: 1 (5 enodes) 1546424362.043 * [exit]simplify: Simplified to -1 1546424362.043 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1546424362.043 * * * * [misc]progress: [ 79 / 128 ] simplifiying candidate # 1546424362.043 * * * * [misc]progress: [ 80 / 128 ] simplifiying candidate # 1546424362.043 * * * * [misc]progress: [ 81 / 128 ] simplifiying candidate # 1546424362.043 * * * * [misc]progress: [ 82 / 128 ] simplifiying candidate # 1546424362.043 * * * * [misc]progress: [ 83 / 128 ] simplifiying candidate # 1546424362.043 * * * * [misc]progress: [ 84 / 128 ] simplifiying candidate # 1546424362.043 * * * * [misc]progress: [ 85 / 128 ] simplifiying candidate # 1546424362.043 * * * * [misc]progress: [ 86 / 128 ] simplifiying candidate # 1546424362.043 * * * * [misc]progress: [ 87 / 128 ] simplifiying candidate # 1546424362.044 * * * * [misc]progress: [ 88 / 128 ] simplifiying candidate # 1546424362.044 * * * * [misc]progress: [ 89 / 128 ] simplifiying candidate # 1546424362.044 * * * * [misc]progress: [ 90 / 128 ] simplifiying candidate # 1546424362.044 * * * * [misc]progress: [ 91 / 128 ] simplifiying candidate # 1546424362.044 * * * * [misc]progress: [ 92 / 128 ] simplifiying candidate # 1546424362.044 * * * * [misc]progress: [ 93 / 128 ] simplifiying candidate # 1546424362.044 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424362.044 * * [misc]simplify: iters left: 6 (13 enodes) 1546424362.050 * * [misc]simplify: iters left: 5 (19 enodes) 1546424362.055 * * [misc]simplify: iters left: 4 (28 enodes) 1546424362.063 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.071 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546424362.071 * [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))))))) 1546424362.071 * * * * [misc]progress: [ 94 / 128 ] simplifiying candidate # 1546424362.071 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424362.071 * * [misc]simplify: iters left: 6 (13 enodes) 1546424362.075 * * [misc]simplify: iters left: 5 (19 enodes) 1546424362.078 * * [misc]simplify: iters left: 4 (28 enodes) 1546424362.082 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.088 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546424362.088 * [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))))))) 1546424362.088 * * * * [misc]progress: [ 95 / 128 ] simplifiying candidate # 1546424362.088 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424362.088 * * [misc]simplify: iters left: 6 (12 enodes) 1546424362.092 * * [misc]simplify: iters left: 5 (18 enodes) 1546424362.097 * * [misc]simplify: iters left: 4 (24 enodes) 1546424362.103 * * [misc]simplify: iters left: 3 (25 enodes) 1546424362.109 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546424362.109 * [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)))))) 1546424362.109 * * * * [misc]progress: [ 96 / 128 ] simplifiying candidate # 1546424362.110 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424362.110 * * [misc]simplify: iters left: 6 (12 enodes) 1546424362.113 * * [misc]simplify: iters left: 5 (18 enodes) 1546424362.118 * * [misc]simplify: iters left: 4 (24 enodes) 1546424362.124 * * [misc]simplify: iters left: 3 (25 enodes) 1546424362.129 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546424362.129 * [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)))))) 1546424362.129 * * * * [misc]progress: [ 97 / 128 ] simplifiying candidate # 1546424362.130 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424362.130 * * [misc]simplify: iters left: 6 (11 enodes) 1546424362.132 * * [misc]simplify: iters left: 5 (14 enodes) 1546424362.133 * * [misc]simplify: iters left: 4 (17 enodes) 1546424362.136 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424362.136 * [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)))))) 1546424362.136 * * * * [misc]progress: [ 98 / 128 ] simplifiying candidate # 1546424362.136 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424362.136 * * [misc]simplify: iters left: 6 (14 enodes) 1546424362.138 * * [misc]simplify: iters left: 5 (20 enodes) 1546424362.141 * * [misc]simplify: iters left: 4 (29 enodes) 1546424362.145 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.149 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424362.149 * [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))))))) 1546424362.149 * * * * [misc]progress: [ 99 / 128 ] simplifiying candidate # 1546424362.150 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424362.150 * * [misc]simplify: iters left: 6 (14 enodes) 1546424362.154 * * [misc]simplify: iters left: 5 (20 enodes) 1546424362.160 * * [misc]simplify: iters left: 4 (29 enodes) 1546424362.166 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.170 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424362.170 * [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))))))) 1546424362.170 * * * * [misc]progress: [ 100 / 128 ] simplifiying candidate # 1546424362.170 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424362.170 * * [misc]simplify: iters left: 6 (13 enodes) 1546424362.172 * * [misc]simplify: iters left: 5 (19 enodes) 1546424362.175 * * [misc]simplify: iters left: 4 (28 enodes) 1546424362.178 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.182 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546424362.182 * [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)))))) 1546424362.182 * * * * [misc]progress: [ 101 / 128 ] simplifiying candidate # 1546424362.182 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424362.182 * * [misc]simplify: iters left: 6 (12 enodes) 1546424362.184 * * [misc]simplify: iters left: 5 (18 enodes) 1546424362.186 * * [misc]simplify: iters left: 4 (24 enodes) 1546424362.189 * * [misc]simplify: iters left: 3 (25 enodes) 1546424362.194 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546424362.194 * [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)))))) 1546424362.194 * * * * [misc]progress: [ 102 / 128 ] simplifiying candidate # 1546424362.194 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424362.194 * * [misc]simplify: iters left: 6 (12 enodes) 1546424362.198 * * [misc]simplify: iters left: 5 (18 enodes) 1546424362.203 * * [misc]simplify: iters left: 4 (24 enodes) 1546424362.210 * * [misc]simplify: iters left: 3 (25 enodes) 1546424362.216 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546424362.217 * [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)))))) 1546424362.217 * * * * [misc]progress: [ 103 / 128 ] simplifiying candidate # 1546424362.217 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424362.217 * * [misc]simplify: iters left: 6 (11 enodes) 1546424362.220 * * [misc]simplify: iters left: 5 (14 enodes) 1546424362.225 * * [misc]simplify: iters left: 4 (17 enodes) 1546424362.230 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424362.230 * [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)))))) 1546424362.230 * * * * [misc]progress: [ 104 / 128 ] simplifiying candidate # 1546424362.230 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424362.230 * * [misc]simplify: iters left: 6 (14 enodes) 1546424362.235 * * [misc]simplify: iters left: 5 (20 enodes) 1546424362.240 * * [misc]simplify: iters left: 4 (29 enodes) 1546424362.247 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.254 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424362.254 * [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))))))) 1546424362.254 * * * * [misc]progress: [ 105 / 128 ] simplifiying candidate # 1546424362.255 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424362.255 * * [misc]simplify: iters left: 6 (14 enodes) 1546424362.259 * * [misc]simplify: iters left: 5 (20 enodes) 1546424362.265 * * [misc]simplify: iters left: 4 (29 enodes) 1546424362.274 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.282 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546424362.282 * [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))))))) 1546424362.282 * * * * [misc]progress: [ 106 / 128 ] simplifiying candidate # 1546424362.283 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424362.283 * * [misc]simplify: iters left: 6 (13 enodes) 1546424362.287 * * [misc]simplify: iters left: 5 (19 enodes) 1546424362.293 * * [misc]simplify: iters left: 4 (28 enodes) 1546424362.300 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.308 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546424362.308 * [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)))))) 1546424362.308 * * * * [misc]progress: [ 107 / 128 ] simplifiying candidate # 1546424362.309 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424362.309 * * [misc]simplify: iters left: 6 (11 enodes) 1546424362.313 * * [misc]simplify: iters left: 5 (17 enodes) 1546424362.318 * * [misc]simplify: iters left: 4 (23 enodes) 1546424362.324 * * [misc]simplify: iters left: 3 (24 enodes) 1546424362.330 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546424362.330 * [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)))))) 1546424362.330 * * * * [misc]progress: [ 108 / 128 ] simplifiying candidate # 1546424362.330 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546424362.330 * * [misc]simplify: iters left: 6 (11 enodes) 1546424362.334 * * [misc]simplify: iters left: 5 (17 enodes) 1546424362.339 * * [misc]simplify: iters left: 4 (23 enodes) 1546424362.345 * * [misc]simplify: iters left: 3 (24 enodes) 1546424362.351 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546424362.351 * [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)))))) 1546424362.351 * * * * [misc]progress: [ 109 / 128 ] simplifiying candidate # 1546424362.351 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424362.352 * * [misc]simplify: iters left: 6 (10 enodes) 1546424362.355 * * [misc]simplify: iters left: 5 (13 enodes) 1546424362.358 * * [misc]simplify: iters left: 4 (16 enodes) 1546424362.363 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424362.363 * [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)))))) 1546424362.363 * * * * [misc]progress: [ 110 / 128 ] simplifiying candidate # 1546424362.364 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424362.364 * * [misc]simplify: iters left: 6 (13 enodes) 1546424362.368 * * [misc]simplify: iters left: 5 (19 enodes) 1546424362.374 * * [misc]simplify: iters left: 4 (28 enodes) 1546424362.381 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.389 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546424362.389 * [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))))))) 1546424362.389 * * * * [misc]progress: [ 111 / 128 ] simplifiying candidate # 1546424362.389 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546424362.390 * * [misc]simplify: iters left: 6 (13 enodes) 1546424362.394 * * [misc]simplify: iters left: 5 (19 enodes) 1546424362.399 * * [misc]simplify: iters left: 4 (28 enodes) 1546424362.407 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.415 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546424362.415 * [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))))))) 1546424362.415 * * * * [misc]progress: [ 112 / 128 ] simplifiying candidate # 1546424362.415 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424362.415 * * [misc]simplify: iters left: 6 (12 enodes) 1546424362.419 * * [misc]simplify: iters left: 5 (18 enodes) 1546424362.425 * * [misc]simplify: iters left: 4 (27 enodes) 1546424362.433 * * [misc]simplify: iters left: 3 (29 enodes) 1546424362.440 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424362.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546424362.440 * * * * [misc]progress: [ 113 / 128 ] simplifiying candidate # 1546424362.441 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424362.441 * * [misc]simplify: iters left: 6 (12 enodes) 1546424362.445 * * [misc]simplify: iters left: 5 (18 enodes) 1546424362.450 * * [misc]simplify: iters left: 4 (27 enodes) 1546424362.458 * * [misc]simplify: iters left: 3 (29 enodes) 1546424362.465 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424362.465 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546424362.465 * * * * [misc]progress: [ 114 / 128 ] simplifiying candidate # 1546424362.466 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546424362.466 * * [misc]simplify: iters left: 6 (12 enodes) 1546424362.470 * * [misc]simplify: iters left: 5 (20 enodes) 1546424362.476 * * [misc]simplify: iters left: 4 (29 enodes) 1546424362.483 * * [misc]simplify: iters left: 3 (30 enodes) 1546424362.491 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1546424362.491 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546424362.491 * * * * [misc]progress: [ 115 / 128 ] simplifiying candidate # 1546424362.491 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546424362.491 * * [misc]simplify: iters left: 5 (8 enodes) 1546424362.494 * * [misc]simplify: iters left: 4 (12 enodes) 1546424362.497 * * [misc]simplify: iters left: 3 (18 enodes) 1546424362.502 * * [misc]simplify: iters left: 2 (20 enodes) 1546424362.507 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546424362.507 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1546424362.507 * * * * [misc]progress: [ 116 / 128 ] simplifiying candidate # 1546424362.508 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546424362.508 * * [misc]simplify: iters left: 5 (10 enodes) 1546424362.511 * * [misc]simplify: iters left: 4 (16 enodes) 1546424362.516 * * [misc]simplify: iters left: 3 (25 enodes) 1546424362.523 * * [misc]simplify: iters left: 2 (26 enodes) 1546424362.529 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546424362.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546424362.529 * * * * [misc]progress: [ 117 / 128 ] simplifiying candidate # 1546424362.530 * [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))))) 1546424362.530 * * [misc]simplify: iters left: 6 (37 enodes) 1546424362.545 * * [misc]simplify: iters left: 5 (108 enodes) 1546424362.583 * * [misc]simplify: iters left: 4 (368 enodes) 1546424362.820 * [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)))))) 1546424362.820 * [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))))))))) 1546424362.820 * * * * [misc]progress: [ 118 / 128 ] simplifiying candidate # 1546424362.820 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546424362.820 * * [misc]simplify: iters left: 6 (15 enodes) 1546424362.823 * * [misc]simplify: iters left: 5 (33 enodes) 1546424362.828 * * [misc]simplify: iters left: 4 (64 enodes) 1546424362.841 * * [misc]simplify: iters left: 3 (179 enodes) 1546424362.955 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546424362.955 * [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)))))) 1546424362.955 * * * * [misc]progress: [ 119 / 128 ] simplifiying candidate # 1546424362.956 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546424362.956 * * [misc]simplify: iters left: 6 (15 enodes) 1546424362.961 * * [misc]simplify: iters left: 5 (30 enodes) 1546424362.975 * * [misc]simplify: iters left: 4 (65 enodes) 1546424363.004 * * [misc]simplify: iters left: 3 (208 enodes) 1546424363.150 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546424363.151 * [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))))))) 1546424363.151 * * * * [misc]progress: [ 120 / 128 ] simplifiying candidate # 1546424363.151 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546424363.151 * * [misc]simplify: iters left: 4 (5 enodes) 1546424363.152 * * [misc]simplify: iters left: 3 (9 enodes) 1546424363.153 * * [misc]simplify: iters left: 2 (15 enodes) 1546424363.155 * * [misc]simplify: iters left: 1 (17 enodes) 1546424363.157 * [exit]simplify: Simplified to (* (* PI n) 2) 1546424363.157 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546424363.157 * * * * [misc]progress: [ 121 / 128 ] simplifiying candidate # 1546424363.157 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546424363.157 * * [misc]simplify: iters left: 4 (5 enodes) 1546424363.158 * * [misc]simplify: iters left: 3 (9 enodes) 1546424363.159 * * [misc]simplify: iters left: 2 (15 enodes) 1546424363.161 * * [misc]simplify: iters left: 1 (17 enodes) 1546424363.163 * [exit]simplify: Simplified to (* (* PI n) 2) 1546424363.163 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546424363.163 * * * * [misc]progress: [ 122 / 128 ] simplifiying candidate # 1546424363.163 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546424363.163 * * [misc]simplify: iters left: 4 (5 enodes) 1546424363.164 * * [misc]simplify: iters left: 3 (9 enodes) 1546424363.166 * * [misc]simplify: iters left: 2 (15 enodes) 1546424363.167 * * [misc]simplify: iters left: 1 (17 enodes) 1546424363.169 * [exit]simplify: Simplified to (* (* PI n) 2) 1546424363.169 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546424363.169 * * * * [misc]progress: [ 123 / 128 ] simplifiying candidate # 1546424363.170 * [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))))))))))) 1546424363.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546424363.170 * * * * [misc]progress: [ 124 / 128 ] simplifiying candidate # 1546424363.170 * [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)))))))))))) 1546424363.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546424363.170 * * * * [misc]progress: [ 125 / 128 ] simplifiying candidate # 1546424363.170 * [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)))))))))))) 1546424363.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546424363.170 * * * * [misc]progress: [ 126 / 128 ] simplifiying candidate # 1546424363.170 * [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))))))))))))) 1546424363.170 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546424363.170 * * * * [misc]progress: [ 127 / 128 ] simplifiying candidate # 1546424363.170 * [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)))))))) 1546424363.170 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546424363.170 * * * * [misc]progress: [ 128 / 128 ] simplifiying candidate # 1546424363.171 * [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))))))))))) 1546424363.171 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546424363.171 * * * [misc]progress: adding candidates to table 1546424364.613 * * [misc]progress: iteration 3 / 4 1546424364.613 * * * [misc]progress: picking best candidate 1546424364.639 * * * * [misc]pick: Picked # 1546424364.639 * * * [misc]progress: localizing error 1546424364.678 * * * [misc]progress: generating rewritten candidates 1546424364.678 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1546424364.679 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) 1546424364.682 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546424364.690 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546424364.710 * * * [misc]progress: generating series expansions 1546424364.710 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1546424364.710 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1546424364.710 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1546424364.710 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546424364.710 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546424364.710 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546424364.710 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.710 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.711 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.711 * [misc]taylor: Taking taylor expansion of k in k 1546424364.711 * [misc]backup-simplify: Simplify 0 into 0 1546424364.711 * [misc]backup-simplify: Simplify 1 into 1 1546424364.711 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424364.711 * [misc]taylor: Taking taylor expansion of PI in k 1546424364.711 * [misc]backup-simplify: Simplify PI into PI 1546424364.711 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424364.711 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.712 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.712 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.712 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424364.713 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546424364.713 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546424364.713 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546424364.713 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546424364.713 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.713 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.713 * [misc]taylor: Taking taylor expansion of k in k 1546424364.713 * [misc]backup-simplify: Simplify 0 into 0 1546424364.713 * [misc]backup-simplify: Simplify 1 into 1 1546424364.713 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424364.713 * [misc]taylor: Taking taylor expansion of PI in k 1546424364.713 * [misc]backup-simplify: Simplify PI into PI 1546424364.714 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424364.714 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.714 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.714 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.715 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424364.715 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546424364.716 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1546424364.718 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546424364.718 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424364.719 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.719 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.720 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546424364.723 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546424364.724 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1546424364.728 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546424364.728 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424364.729 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.729 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.730 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546424364.734 * [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))) 1546424364.736 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1546424364.739 * [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)))) 1546424364.739 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424364.739 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1546424364.739 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424364.739 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546424364.739 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546424364.739 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424364.739 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.739 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.739 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.739 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.740 * [misc]taylor: Taking taylor expansion of k in k 1546424364.740 * [misc]backup-simplify: Simplify 0 into 0 1546424364.740 * [misc]backup-simplify: Simplify 1 into 1 1546424364.740 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.740 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424364.740 * [misc]taylor: Taking taylor expansion of PI in k 1546424364.740 * [misc]backup-simplify: Simplify PI into PI 1546424364.740 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424364.740 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.741 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.741 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.741 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546424364.741 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424364.742 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424364.742 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546424364.742 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546424364.742 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424364.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.742 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.742 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.742 * [misc]taylor: Taking taylor expansion of k in k 1546424364.742 * [misc]backup-simplify: Simplify 0 into 0 1546424364.742 * [misc]backup-simplify: Simplify 1 into 1 1546424364.742 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.742 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424364.742 * [misc]taylor: Taking taylor expansion of PI in k 1546424364.742 * [misc]backup-simplify: Simplify PI into PI 1546424364.742 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424364.742 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.743 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.743 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.743 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546424364.744 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424364.744 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424364.744 * [misc]backup-simplify: Simplify 0 into 0 1546424364.744 * [misc]backup-simplify: Simplify 0 into 0 1546424364.744 * [misc]backup-simplify: Simplify 0 into 0 1546424364.744 * [misc]backup-simplify: Simplify 0 into 0 1546424364.744 * [misc]backup-simplify: Simplify 0 into 0 1546424364.744 * [misc]backup-simplify: Simplify 0 into 0 1546424364.744 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1546424364.744 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424364.744 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1546424364.744 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424364.745 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546424364.745 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546424364.745 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424364.745 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.745 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.745 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.745 * [misc]taylor: Taking taylor expansion of k in k 1546424364.745 * [misc]backup-simplify: Simplify 0 into 0 1546424364.745 * [misc]backup-simplify: Simplify 1 into 1 1546424364.745 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.745 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.745 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424364.745 * [misc]taylor: Taking taylor expansion of PI in k 1546424364.745 * [misc]backup-simplify: Simplify PI into PI 1546424364.745 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424364.746 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.746 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.746 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424364.747 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424364.747 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424364.747 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546424364.747 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546424364.747 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424364.747 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.747 * [misc]taylor: Taking taylor expansion of k in k 1546424364.747 * [misc]backup-simplify: Simplify 0 into 0 1546424364.747 * [misc]backup-simplify: Simplify 1 into 1 1546424364.747 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.747 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424364.747 * [misc]taylor: Taking taylor expansion of PI in k 1546424364.747 * [misc]backup-simplify: Simplify PI into PI 1546424364.748 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424364.748 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.748 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.748 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424364.749 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424364.749 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424364.749 * [misc]backup-simplify: Simplify 0 into 0 1546424364.749 * [misc]backup-simplify: Simplify 0 into 0 1546424364.749 * [misc]backup-simplify: Simplify 0 into 0 1546424364.749 * [misc]backup-simplify: Simplify 0 into 0 1546424364.749 * [misc]backup-simplify: Simplify 0 into 0 1546424364.749 * [misc]backup-simplify: Simplify 0 into 0 1546424364.749 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1546424364.749 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) 1546424364.750 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1546424364.750 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1546424364.750 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424364.750 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424364.750 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424364.750 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.750 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.750 * [misc]taylor: Taking taylor expansion of k in k 1546424364.750 * [misc]backup-simplify: Simplify 0 into 0 1546424364.750 * [misc]backup-simplify: Simplify 1 into 1 1546424364.750 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424364.750 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424364.750 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.750 * [misc]backup-simplify: Simplify 2 into 2 1546424364.750 * [misc]taylor: Taking taylor expansion of n in k 1546424364.750 * [misc]backup-simplify: Simplify n into n 1546424364.750 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424364.750 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424364.750 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.751 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.751 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.751 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424364.751 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424364.751 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546424364.751 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546424364.751 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546424364.751 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424364.751 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.751 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424364.751 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.751 * [misc]taylor: Taking taylor expansion of k in n 1546424364.751 * [misc]backup-simplify: Simplify k into k 1546424364.751 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424364.751 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424364.751 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.751 * [misc]backup-simplify: Simplify 2 into 2 1546424364.751 * [misc]taylor: Taking taylor expansion of n in n 1546424364.751 * [misc]backup-simplify: Simplify 0 into 0 1546424364.752 * [misc]backup-simplify: Simplify 1 into 1 1546424364.752 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424364.752 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424364.752 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.752 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424364.752 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424364.752 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424364.753 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424364.753 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546424364.753 * [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)))) 1546424364.753 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546424364.753 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546424364.753 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546424364.753 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424364.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.753 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424364.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.754 * [misc]taylor: Taking taylor expansion of k in n 1546424364.754 * [misc]backup-simplify: Simplify k into k 1546424364.754 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424364.754 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424364.754 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.754 * [misc]backup-simplify: Simplify 2 into 2 1546424364.754 * [misc]taylor: Taking taylor expansion of n in n 1546424364.754 * [misc]backup-simplify: Simplify 0 into 0 1546424364.754 * [misc]backup-simplify: Simplify 1 into 1 1546424364.754 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424364.754 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424364.754 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.754 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424364.754 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424364.755 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424364.755 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424364.755 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546424364.756 * [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)))) 1546424364.756 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1546424364.756 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1546424364.756 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1546424364.756 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546424364.756 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.756 * [misc]backup-simplify: Simplify 2 into 2 1546424364.756 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.756 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424364.756 * [misc]taylor: Taking taylor expansion of n in k 1546424364.756 * [misc]backup-simplify: Simplify n into n 1546424364.756 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424364.756 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.756 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.756 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.756 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.756 * [misc]taylor: Taking taylor expansion of k in k 1546424364.756 * [misc]backup-simplify: Simplify 0 into 0 1546424364.756 * [misc]backup-simplify: Simplify 1 into 1 1546424364.757 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1546424364.757 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.757 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.757 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.757 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1546424364.758 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546424364.758 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546424364.758 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546424364.761 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424364.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546424364.761 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.762 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424364.762 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1546424364.769 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424364.769 * [misc]taylor: Taking taylor expansion of 0 in k 1546424364.769 * [misc]backup-simplify: Simplify 0 into 0 1546424364.769 * [misc]backup-simplify: Simplify 0 into 0 1546424364.769 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424364.769 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.769 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.772 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424364.773 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546424364.773 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.773 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1546424364.774 * [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))))) 1546424364.775 * [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))))) 1546424364.775 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546424364.779 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546424364.780 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546424364.780 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.780 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.780 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424364.780 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1546424364.782 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546424364.782 * [misc]taylor: Taking taylor expansion of 0 in k 1546424364.782 * [misc]backup-simplify: Simplify 0 into 0 1546424364.782 * [misc]backup-simplify: Simplify 0 into 0 1546424364.782 * [misc]backup-simplify: Simplify 0 into 0 1546424364.782 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424364.782 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.785 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546424364.785 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546424364.786 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.786 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1546424364.787 * [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))))) 1546424364.788 * [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))))) 1546424364.790 * [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))))) 1546424364.790 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424364.790 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546424364.790 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424364.790 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424364.790 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424364.790 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424364.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.790 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.790 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.790 * [misc]taylor: Taking taylor expansion of k in k 1546424364.790 * [misc]backup-simplify: Simplify 0 into 0 1546424364.790 * [misc]backup-simplify: Simplify 1 into 1 1546424364.790 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.790 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424364.790 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424364.790 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.790 * [misc]backup-simplify: Simplify 2 into 2 1546424364.790 * [misc]taylor: Taking taylor expansion of n in k 1546424364.790 * [misc]backup-simplify: Simplify n into n 1546424364.790 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424364.790 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424364.791 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.791 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.791 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.791 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424364.791 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424364.791 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424364.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424364.791 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424364.791 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424364.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.791 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.791 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.791 * [misc]taylor: Taking taylor expansion of k in n 1546424364.791 * [misc]backup-simplify: Simplify k into k 1546424364.791 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.791 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424364.791 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424364.791 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.791 * [misc]backup-simplify: Simplify 2 into 2 1546424364.791 * [misc]taylor: Taking taylor expansion of n in n 1546424364.791 * [misc]backup-simplify: Simplify 0 into 0 1546424364.791 * [misc]backup-simplify: Simplify 1 into 1 1546424364.791 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424364.791 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.792 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.792 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424364.792 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424364.792 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.792 * [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))) 1546424364.792 * [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)))) 1546424364.792 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424364.792 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424364.792 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424364.792 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424364.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.792 * [misc]taylor: Taking taylor expansion of k in n 1546424364.792 * [misc]backup-simplify: Simplify k into k 1546424364.793 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.793 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424364.793 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424364.793 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.793 * [misc]backup-simplify: Simplify 2 into 2 1546424364.793 * [misc]taylor: Taking taylor expansion of n in n 1546424364.793 * [misc]backup-simplify: Simplify 0 into 0 1546424364.793 * [misc]backup-simplify: Simplify 1 into 1 1546424364.793 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424364.793 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.793 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.793 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424364.793 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424364.793 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.793 * [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))) 1546424364.794 * [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)))) 1546424364.794 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1546424364.794 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1546424364.794 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424364.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.794 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.794 * [misc]taylor: Taking taylor expansion of k in k 1546424364.794 * [misc]backup-simplify: Simplify 0 into 0 1546424364.794 * [misc]backup-simplify: Simplify 1 into 1 1546424364.794 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.794 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1546424364.794 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546424364.794 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.794 * [misc]backup-simplify: Simplify 2 into 2 1546424364.794 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.794 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424364.794 * [misc]taylor: Taking taylor expansion of n in k 1546424364.794 * [misc]backup-simplify: Simplify n into n 1546424364.794 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424364.794 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.794 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.795 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.795 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424364.795 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1546424364.795 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1546424364.795 * [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)))) 1546424364.795 * [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)))) 1546424364.795 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546424364.797 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424364.797 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424364.797 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424364.797 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.797 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.798 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.798 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546424364.799 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424364.799 * [misc]taylor: Taking taylor expansion of 0 in k 1546424364.799 * [misc]backup-simplify: Simplify 0 into 0 1546424364.799 * [misc]backup-simplify: Simplify 0 into 0 1546424364.799 * [misc]backup-simplify: Simplify 0 into 0 1546424364.799 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424364.801 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546424364.802 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424364.802 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424364.802 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.802 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.802 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.802 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1546424364.804 * [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 1546424364.804 * [misc]taylor: Taking taylor expansion of 0 in k 1546424364.804 * [misc]backup-simplify: Simplify 0 into 0 1546424364.804 * [misc]backup-simplify: Simplify 0 into 0 1546424364.804 * [misc]backup-simplify: Simplify 0 into 0 1546424364.804 * [misc]backup-simplify: Simplify 0 into 0 1546424364.804 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424364.808 * [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 1546424364.809 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424364.809 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546424364.809 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.810 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1546424364.814 * [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 1546424364.814 * [misc]taylor: Taking taylor expansion of 0 in k 1546424364.814 * [misc]backup-simplify: Simplify 0 into 0 1546424364.814 * [misc]backup-simplify: Simplify 0 into 0 1546424364.815 * [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)))) 1546424364.815 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424364.815 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546424364.815 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424364.815 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424364.815 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424364.815 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424364.815 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.815 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.815 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.815 * [misc]taylor: Taking taylor expansion of k in k 1546424364.815 * [misc]backup-simplify: Simplify 0 into 0 1546424364.815 * [misc]backup-simplify: Simplify 1 into 1 1546424364.815 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.815 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.815 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424364.815 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424364.815 * [misc]taylor: Taking taylor expansion of -2 in k 1546424364.816 * [misc]backup-simplify: Simplify -2 into -2 1546424364.816 * [misc]taylor: Taking taylor expansion of n in k 1546424364.816 * [misc]backup-simplify: Simplify n into n 1546424364.816 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424364.816 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424364.816 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.816 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.816 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424364.816 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424364.816 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424364.816 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424364.816 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424364.816 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424364.816 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.817 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.817 * [misc]taylor: Taking taylor expansion of k in n 1546424364.817 * [misc]backup-simplify: Simplify k into k 1546424364.817 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.817 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.817 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424364.817 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424364.817 * [misc]taylor: Taking taylor expansion of -2 in n 1546424364.817 * [misc]backup-simplify: Simplify -2 into -2 1546424364.817 * [misc]taylor: Taking taylor expansion of n in n 1546424364.817 * [misc]backup-simplify: Simplify 0 into 0 1546424364.817 * [misc]backup-simplify: Simplify 1 into 1 1546424364.817 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424364.817 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424364.817 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.817 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424364.818 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.818 * [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))) 1546424364.818 * [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)))) 1546424364.818 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424364.818 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424364.819 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424364.819 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424364.819 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.819 * [misc]taylor: Taking taylor expansion of k in n 1546424364.819 * [misc]backup-simplify: Simplify k into k 1546424364.819 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.819 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424364.819 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424364.819 * [misc]taylor: Taking taylor expansion of -2 in n 1546424364.819 * [misc]backup-simplify: Simplify -2 into -2 1546424364.819 * [misc]taylor: Taking taylor expansion of n in n 1546424364.819 * [misc]backup-simplify: Simplify 0 into 0 1546424364.819 * [misc]backup-simplify: Simplify 1 into 1 1546424364.819 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424364.819 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424364.819 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.820 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424364.820 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.820 * [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))) 1546424364.821 * [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)))) 1546424364.821 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1546424364.821 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1546424364.821 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424364.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.821 * [misc]taylor: Taking taylor expansion of k in k 1546424364.821 * [misc]backup-simplify: Simplify 0 into 0 1546424364.821 * [misc]backup-simplify: Simplify 1 into 1 1546424364.821 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.821 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1546424364.821 * [misc]taylor: Taking taylor expansion of (log -2) in k 1546424364.821 * [misc]taylor: Taking taylor expansion of -2 in k 1546424364.821 * [misc]backup-simplify: Simplify -2 into -2 1546424364.821 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424364.821 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424364.821 * [misc]taylor: Taking taylor expansion of n in k 1546424364.822 * [misc]backup-simplify: Simplify n into n 1546424364.822 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424364.822 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.822 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.822 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424364.822 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1546424364.822 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1546424364.823 * [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)))) 1546424364.823 * [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)))) 1546424364.823 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546424364.826 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546424364.826 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424364.826 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424364.826 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.827 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.827 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546424364.828 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424364.828 * [misc]taylor: Taking taylor expansion of 0 in k 1546424364.829 * [misc]backup-simplify: Simplify 0 into 0 1546424364.829 * [misc]backup-simplify: Simplify 0 into 0 1546424364.829 * [misc]backup-simplify: Simplify 0 into 0 1546424364.829 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424364.833 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1546424364.833 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424364.834 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424364.834 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.834 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.835 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1546424364.837 * [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 1546424364.837 * [misc]taylor: Taking taylor expansion of 0 in k 1546424364.837 * [misc]backup-simplify: Simplify 0 into 0 1546424364.837 * [misc]backup-simplify: Simplify 0 into 0 1546424364.837 * [misc]backup-simplify: Simplify 0 into 0 1546424364.837 * [misc]backup-simplify: Simplify 0 into 0 1546424364.837 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424364.845 * [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 1546424364.845 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424364.845 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546424364.846 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.846 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.847 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1546424364.850 * [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 1546424364.850 * [misc]taylor: Taking taylor expansion of 0 in k 1546424364.850 * [misc]backup-simplify: Simplify 0 into 0 1546424364.850 * [misc]backup-simplify: Simplify 0 into 0 1546424364.851 * [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))))) 1546424364.851 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546424364.851 * [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)) 1546424364.851 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546424364.851 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546424364.851 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1546424364.851 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546424364.851 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546424364.851 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546424364.851 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424364.851 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.851 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.851 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424364.851 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.851 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.851 * [misc]taylor: Taking taylor expansion of k in n 1546424364.851 * [misc]backup-simplify: Simplify k into k 1546424364.851 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424364.851 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424364.851 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.851 * [misc]backup-simplify: Simplify 2 into 2 1546424364.851 * [misc]taylor: Taking taylor expansion of n in n 1546424364.851 * [misc]backup-simplify: Simplify 0 into 0 1546424364.851 * [misc]backup-simplify: Simplify 1 into 1 1546424364.852 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424364.852 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424364.852 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.852 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424364.852 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424364.852 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424364.853 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424364.853 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546424364.853 * [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)))) 1546424364.853 * [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))))) 1546424364.854 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546424364.854 * [misc]taylor: Taking taylor expansion of k in n 1546424364.854 * [misc]backup-simplify: Simplify k into k 1546424364.854 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546424364.854 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546424364.854 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546424364.854 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546424364.854 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424364.854 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424364.854 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424364.854 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.854 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.854 * [misc]taylor: Taking taylor expansion of k in k 1546424364.854 * [misc]backup-simplify: Simplify 0 into 0 1546424364.854 * [misc]backup-simplify: Simplify 1 into 1 1546424364.854 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424364.854 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424364.854 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.854 * [misc]backup-simplify: Simplify 2 into 2 1546424364.854 * [misc]taylor: Taking taylor expansion of n in k 1546424364.854 * [misc]backup-simplify: Simplify n into n 1546424364.854 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424364.854 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424364.855 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.855 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.855 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.855 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424364.855 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424364.855 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546424364.855 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424364.855 * [misc]taylor: Taking taylor expansion of k in k 1546424364.855 * [misc]backup-simplify: Simplify 0 into 0 1546424364.855 * [misc]backup-simplify: Simplify 1 into 1 1546424364.856 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.856 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424364.856 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546424364.856 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546424364.856 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424364.856 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424364.856 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424364.856 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.856 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.856 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.856 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.857 * [misc]taylor: Taking taylor expansion of k in k 1546424364.857 * [misc]backup-simplify: Simplify 0 into 0 1546424364.857 * [misc]backup-simplify: Simplify 1 into 1 1546424364.857 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424364.857 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424364.857 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.857 * [misc]backup-simplify: Simplify 2 into 2 1546424364.857 * [misc]taylor: Taking taylor expansion of n in k 1546424364.857 * [misc]backup-simplify: Simplify n into n 1546424364.857 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424364.857 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424364.857 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.857 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.857 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.857 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424364.858 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424364.858 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546424364.858 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424364.858 * [misc]taylor: Taking taylor expansion of k in k 1546424364.858 * [misc]backup-simplify: Simplify 0 into 0 1546424364.858 * [misc]backup-simplify: Simplify 1 into 1 1546424364.858 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.858 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424364.859 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1546424364.859 * [misc]taylor: Taking taylor expansion of 0 in n 1546424364.859 * [misc]backup-simplify: Simplify 0 into 0 1546424364.859 * [misc]backup-simplify: Simplify 0 into 0 1546424364.859 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546424364.860 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546424364.860 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424364.860 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.860 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546424364.861 * [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)))) 1546424364.861 * [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)))) 1546424364.862 * [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)))) 1546424364.862 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546424364.863 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546424364.863 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.863 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.863 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546424364.863 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546424364.863 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546424364.863 * [misc]taylor: Taking taylor expansion of n in n 1546424364.863 * [misc]backup-simplify: Simplify 0 into 0 1546424364.863 * [misc]backup-simplify: Simplify 1 into 1 1546424364.863 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.863 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.864 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424364.864 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546424364.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.864 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546424364.864 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546424364.865 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546424364.865 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546424364.866 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546424364.867 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546424364.867 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546424364.867 * [misc]backup-simplify: Simplify 0 into 0 1546424364.868 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424364.869 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546424364.870 * [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 1546424364.871 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424364.871 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.871 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.871 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546424364.872 * [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))) 1546424364.874 * [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))))) 1546424364.878 * [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)))))) 1546424364.878 * [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 1546424364.878 * [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 1546424364.878 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1546424364.878 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.878 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.878 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1546424364.878 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1546424364.878 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424364.878 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.878 * [misc]backup-simplify: Simplify 2 into 2 1546424364.878 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424364.879 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424364.879 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1546424364.879 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424364.879 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424364.879 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.879 * [misc]backup-simplify: Simplify 2 into 2 1546424364.879 * [misc]taylor: Taking taylor expansion of n in n 1546424364.879 * [misc]backup-simplify: Simplify 0 into 0 1546424364.879 * [misc]backup-simplify: Simplify 1 into 1 1546424364.879 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424364.879 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424364.879 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.879 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546424364.880 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546424364.880 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.880 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546424364.880 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546424364.880 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546424364.880 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546424364.880 * [misc]taylor: Taking taylor expansion of n in n 1546424364.880 * [misc]backup-simplify: Simplify 0 into 0 1546424364.880 * [misc]backup-simplify: Simplify 1 into 1 1546424364.880 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.880 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.881 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424364.881 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546424364.881 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546424364.881 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.881 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.881 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546424364.881 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546424364.881 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546424364.881 * [misc]taylor: Taking taylor expansion of n in n 1546424364.881 * [misc]backup-simplify: Simplify 0 into 0 1546424364.881 * [misc]backup-simplify: Simplify 1 into 1 1546424364.881 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.881 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.882 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424364.882 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546424364.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.882 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546424364.882 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546424364.883 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424364.883 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546424364.884 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1546424364.885 * [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))) 1546424364.885 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424364.885 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546424364.886 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546424364.888 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424364.888 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546424364.889 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1546424364.890 * [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))))))) 1546424364.890 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1546424364.892 * [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))))))) 1546424364.893 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546424364.893 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546424364.893 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546424364.894 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546424364.896 * [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))))))))) 1546424364.898 * [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))))))) 1546424364.901 * [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))))))) 1546424364.902 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546424364.902 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546424364.902 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424364.903 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546424364.904 * [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))) 1546424364.904 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546424364.905 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546424364.908 * [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)))))))))))) 1546424364.908 * [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))) 1546424364.908 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1546424364.908 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of k in n 1546424364.908 * [misc]backup-simplify: Simplify k into k 1546424364.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.908 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424364.908 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.908 * [misc]backup-simplify: Simplify 2 into 2 1546424364.908 * [misc]taylor: Taking taylor expansion of n in n 1546424364.908 * [misc]backup-simplify: Simplify 0 into 0 1546424364.908 * [misc]backup-simplify: Simplify 1 into 1 1546424364.909 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424364.909 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.909 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.909 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424364.909 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424364.909 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.909 * [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))) 1546424364.909 * [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)))) 1546424364.910 * [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))))) 1546424364.910 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546424364.910 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.910 * [misc]taylor: Taking taylor expansion of k in n 1546424364.910 * [misc]backup-simplify: Simplify k into k 1546424364.910 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.910 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546424364.910 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424364.910 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546424364.910 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.910 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.910 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of k in k 1546424364.910 * [misc]backup-simplify: Simplify 0 into 0 1546424364.910 * [misc]backup-simplify: Simplify 1 into 1 1546424364.910 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.910 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424364.910 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.910 * [misc]backup-simplify: Simplify 2 into 2 1546424364.910 * [misc]taylor: Taking taylor expansion of n in k 1546424364.910 * [misc]backup-simplify: Simplify n into n 1546424364.910 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424364.910 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424364.911 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.911 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.911 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.911 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424364.911 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424364.911 * [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))))) 1546424364.911 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424364.911 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.911 * [misc]taylor: Taking taylor expansion of k in k 1546424364.911 * [misc]backup-simplify: Simplify 0 into 0 1546424364.911 * [misc]backup-simplify: Simplify 1 into 1 1546424364.911 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.911 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.912 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424364.912 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.912 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.912 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of k in k 1546424364.912 * [misc]backup-simplify: Simplify 0 into 0 1546424364.912 * [misc]backup-simplify: Simplify 1 into 1 1546424364.912 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.912 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424364.912 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.912 * [misc]backup-simplify: Simplify 2 into 2 1546424364.912 * [misc]taylor: Taking taylor expansion of n in k 1546424364.912 * [misc]backup-simplify: Simplify n into n 1546424364.912 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424364.912 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424364.912 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.912 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.913 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.913 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424364.913 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424364.913 * [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))))) 1546424364.913 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424364.913 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.913 * [misc]taylor: Taking taylor expansion of k in k 1546424364.913 * [misc]backup-simplify: Simplify 0 into 0 1546424364.913 * [misc]backup-simplify: Simplify 1 into 1 1546424364.913 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.913 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.913 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424364.914 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546424364.914 * [misc]taylor: Taking taylor expansion of 0 in n 1546424364.914 * [misc]backup-simplify: Simplify 0 into 0 1546424364.914 * [misc]backup-simplify: Simplify 0 into 0 1546424364.914 * [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 1546424364.914 * [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))))))) 1546424364.914 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.914 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.914 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.914 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.914 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of k in n 1546424364.914 * [misc]backup-simplify: Simplify k into k 1546424364.914 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.914 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424364.914 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.914 * [misc]backup-simplify: Simplify 2 into 2 1546424364.914 * [misc]taylor: Taking taylor expansion of n in n 1546424364.914 * [misc]backup-simplify: Simplify 0 into 0 1546424364.915 * [misc]backup-simplify: Simplify 1 into 1 1546424364.915 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424364.915 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.915 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.915 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424364.915 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424364.915 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.915 * [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))) 1546424364.916 * [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)))) 1546424364.916 * [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))))) 1546424364.917 * [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))))) 1546424364.917 * [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))))))) 1546424364.917 * [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))))))) 1546424364.917 * [misc]backup-simplify: Simplify 0 into 0 1546424364.918 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546424364.919 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424364.919 * [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 1546424364.920 * [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))))))) 1546424364.920 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.920 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.920 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.920 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.920 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of k in n 1546424364.920 * [misc]backup-simplify: Simplify k into k 1546424364.920 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.920 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424364.920 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.920 * [misc]backup-simplify: Simplify 2 into 2 1546424364.920 * [misc]taylor: Taking taylor expansion of n in n 1546424364.920 * [misc]backup-simplify: Simplify 0 into 0 1546424364.920 * [misc]backup-simplify: Simplify 1 into 1 1546424364.921 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424364.921 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.921 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.921 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424364.921 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424364.921 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.922 * [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))) 1546424364.922 * [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)))) 1546424364.922 * [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))))) 1546424364.923 * [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))))) 1546424364.923 * [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))))))) 1546424364.924 * [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))))))) 1546424364.924 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546424364.926 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424364.926 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424364.927 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424364.927 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.927 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.927 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.928 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546424364.929 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424364.930 * [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 1546424364.930 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1546424364.930 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.930 * [misc]backup-simplify: Simplify 0 into 0 1546424364.930 * [misc]backup-simplify: Simplify 0 into 0 1546424364.931 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424364.932 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424364.933 * [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 1546424364.933 * [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))))))) 1546424364.933 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546424364.933 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424364.933 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.933 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.933 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424364.933 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424364.933 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424364.933 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424364.933 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424364.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.933 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.934 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.934 * [misc]taylor: Taking taylor expansion of k in n 1546424364.934 * [misc]backup-simplify: Simplify k into k 1546424364.934 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.934 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424364.934 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424364.934 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.934 * [misc]backup-simplify: Simplify 2 into 2 1546424364.934 * [misc]taylor: Taking taylor expansion of n in n 1546424364.934 * [misc]backup-simplify: Simplify 0 into 0 1546424364.934 * [misc]backup-simplify: Simplify 1 into 1 1546424364.934 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424364.934 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.934 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.934 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424364.934 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424364.935 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424364.935 * [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))) 1546424364.935 * [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)))) 1546424364.936 * [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))))) 1546424364.936 * [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))))) 1546424364.937 * [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))))))) 1546424364.937 * [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))))))) 1546424364.938 * [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))))))))))) 1546424364.939 * [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))) 1546424364.939 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546424364.939 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424364.939 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546424364.939 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546424364.939 * [misc]taylor: Taking taylor expansion of -1 in n 1546424364.939 * [misc]backup-simplify: Simplify -1 into -1 1546424364.939 * [misc]taylor: Taking taylor expansion of k in n 1546424364.939 * [misc]backup-simplify: Simplify k into k 1546424364.939 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546424364.939 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546424364.939 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546424364.940 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546424364.940 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424364.940 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424364.940 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424364.940 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424364.940 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.940 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.940 * [misc]taylor: Taking taylor expansion of k in n 1546424364.940 * [misc]backup-simplify: Simplify k into k 1546424364.940 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.940 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424364.940 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424364.940 * [misc]taylor: Taking taylor expansion of -2 in n 1546424364.940 * [misc]backup-simplify: Simplify -2 into -2 1546424364.941 * [misc]taylor: Taking taylor expansion of n in n 1546424364.941 * [misc]backup-simplify: Simplify 0 into 0 1546424364.941 * [misc]backup-simplify: Simplify 1 into 1 1546424364.941 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424364.941 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424364.941 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.941 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424364.941 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.942 * [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))) 1546424364.942 * [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)))) 1546424364.943 * [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))))) 1546424364.943 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546424364.943 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424364.943 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424364.943 * [misc]taylor: Taking taylor expansion of -1 in k 1546424364.943 * [misc]backup-simplify: Simplify -1 into -1 1546424364.943 * [misc]taylor: Taking taylor expansion of k in k 1546424364.943 * [misc]backup-simplify: Simplify 0 into 0 1546424364.943 * [misc]backup-simplify: Simplify 1 into 1 1546424364.943 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424364.943 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.944 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424364.944 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424364.944 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424364.944 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424364.944 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424364.944 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.944 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.944 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.944 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.944 * [misc]taylor: Taking taylor expansion of k in k 1546424364.944 * [misc]backup-simplify: Simplify 0 into 0 1546424364.944 * [misc]backup-simplify: Simplify 1 into 1 1546424364.944 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.944 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.944 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.944 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424364.944 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424364.944 * [misc]taylor: Taking taylor expansion of -2 in k 1546424364.944 * [misc]backup-simplify: Simplify -2 into -2 1546424364.944 * [misc]taylor: Taking taylor expansion of n in k 1546424364.944 * [misc]backup-simplify: Simplify n into n 1546424364.945 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424364.945 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424364.945 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.945 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.945 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424364.945 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424364.945 * [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))) 1546424364.945 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546424364.945 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424364.946 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424364.946 * [misc]taylor: Taking taylor expansion of -1 in k 1546424364.946 * [misc]backup-simplify: Simplify -1 into -1 1546424364.946 * [misc]taylor: Taking taylor expansion of k in k 1546424364.946 * [misc]backup-simplify: Simplify 0 into 0 1546424364.946 * [misc]backup-simplify: Simplify 1 into 1 1546424364.946 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424364.946 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.946 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424364.946 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424364.947 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424364.947 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424364.947 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424364.947 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424364.947 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.947 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.947 * [misc]taylor: Taking taylor expansion of k in k 1546424364.947 * [misc]backup-simplify: Simplify 0 into 0 1546424364.947 * [misc]backup-simplify: Simplify 1 into 1 1546424364.947 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.947 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.947 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424364.947 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424364.947 * [misc]taylor: Taking taylor expansion of -2 in k 1546424364.947 * [misc]backup-simplify: Simplify -2 into -2 1546424364.947 * [misc]taylor: Taking taylor expansion of n in k 1546424364.947 * [misc]backup-simplify: Simplify n into n 1546424364.947 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424364.947 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424364.947 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424364.948 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.948 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424364.948 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424364.948 * [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))) 1546424364.948 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424364.948 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.948 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.948 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424364.948 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424364.948 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424364.948 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424364.948 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.948 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.948 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.948 * [misc]taylor: Taking taylor expansion of k in n 1546424364.948 * [misc]backup-simplify: Simplify k into k 1546424364.948 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.948 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.949 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424364.949 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424364.949 * [misc]taylor: Taking taylor expansion of -2 in n 1546424364.949 * [misc]backup-simplify: Simplify -2 into -2 1546424364.949 * [misc]taylor: Taking taylor expansion of n in n 1546424364.949 * [misc]backup-simplify: Simplify 0 into 0 1546424364.949 * [misc]backup-simplify: Simplify 1 into 1 1546424364.949 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424364.949 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424364.949 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.949 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424364.950 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.950 * [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))) 1546424364.950 * [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)))) 1546424364.951 * [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))))) 1546424364.951 * [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))))) 1546424364.951 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546424364.953 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424364.953 * [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))))) 1546424364.953 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546424364.953 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424364.953 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.953 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.953 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424364.953 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424364.953 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424364.953 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424364.953 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424364.953 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.953 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.953 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.953 * [misc]taylor: Taking taylor expansion of k in n 1546424364.954 * [misc]backup-simplify: Simplify k into k 1546424364.954 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.954 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.954 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.954 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424364.954 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424364.954 * [misc]taylor: Taking taylor expansion of -2 in n 1546424364.954 * [misc]backup-simplify: Simplify -2 into -2 1546424364.954 * [misc]taylor: Taking taylor expansion of n in n 1546424364.954 * [misc]backup-simplify: Simplify 0 into 0 1546424364.954 * [misc]backup-simplify: Simplify 1 into 1 1546424364.954 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424364.954 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424364.954 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.954 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424364.955 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.955 * [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))) 1546424364.955 * [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)))) 1546424364.956 * [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))))) 1546424364.956 * [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))))) 1546424364.956 * [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))))))) 1546424364.957 * [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))))))) 1546424364.957 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546424364.960 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546424364.960 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424364.960 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424364.960 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424364.961 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.961 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546424364.962 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424364.963 * [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 1546424364.963 * [misc]backup-simplify: Simplify 0 into 0 1546424364.963 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424364.965 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424364.965 * [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))))) 1546424364.966 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.966 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.966 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of k in n 1546424364.966 * [misc]backup-simplify: Simplify k into k 1546424364.966 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.966 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424364.966 * [misc]taylor: Taking taylor expansion of -2 in n 1546424364.966 * [misc]backup-simplify: Simplify -2 into -2 1546424364.966 * [misc]taylor: Taking taylor expansion of n in n 1546424364.966 * [misc]backup-simplify: Simplify 0 into 0 1546424364.966 * [misc]backup-simplify: Simplify 1 into 1 1546424364.966 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424364.967 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424364.967 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424364.967 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424364.967 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424364.968 * [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))) 1546424364.968 * [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)))) 1546424364.968 * [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))))) 1546424364.969 * [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))))) 1546424364.969 * [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))))))) 1546424364.969 * [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))))))) 1546424364.971 * [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))))))))) 1546424364.971 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546424364.972 * [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))) 1546424364.972 * [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 1546424364.972 * [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 1546424364.972 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1546424364.972 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546424364.972 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546424364.972 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546424364.972 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424364.972 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.972 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424364.972 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.972 * [misc]taylor: Taking taylor expansion of k in n 1546424364.972 * [misc]backup-simplify: Simplify k into k 1546424364.972 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424364.972 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424364.972 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.972 * [misc]backup-simplify: Simplify 2 into 2 1546424364.972 * [misc]taylor: Taking taylor expansion of n in n 1546424364.972 * [misc]backup-simplify: Simplify 0 into 0 1546424364.972 * [misc]backup-simplify: Simplify 1 into 1 1546424364.972 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424364.973 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424364.973 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424364.973 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424364.973 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424364.973 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424364.973 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424364.974 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546424364.974 * [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)))) 1546424364.974 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1546424364.974 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1546424364.974 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1546424364.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424364.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.974 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424364.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424364.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.974 * [misc]taylor: Taking taylor expansion of k in n 1546424364.974 * [misc]backup-simplify: Simplify k into k 1546424364.974 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424364.974 * [misc]taylor: Taking taylor expansion of PI in n 1546424364.974 * [misc]backup-simplify: Simplify PI into PI 1546424364.975 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424364.975 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424364.975 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424364.975 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424364.975 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1546424364.976 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1546424364.976 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546424364.976 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424364.976 * [misc]taylor: Taking taylor expansion of k in n 1546424364.976 * [misc]backup-simplify: Simplify k into k 1546424364.976 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424364.976 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546424364.976 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424364.976 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546424364.976 * [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 1546424364.976 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546424364.976 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424364.976 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424364.976 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424364.976 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.976 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.977 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.977 * [misc]taylor: Taking taylor expansion of k in k 1546424364.977 * [misc]backup-simplify: Simplify 0 into 0 1546424364.977 * [misc]backup-simplify: Simplify 1 into 1 1546424364.977 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424364.977 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424364.977 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.977 * [misc]backup-simplify: Simplify 2 into 2 1546424364.977 * [misc]taylor: Taking taylor expansion of n in k 1546424364.977 * [misc]backup-simplify: Simplify n into n 1546424364.977 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424364.977 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424364.977 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.977 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.977 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.977 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424364.978 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424364.978 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546424364.978 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546424364.978 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546424364.978 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.978 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.978 * [misc]taylor: Taking taylor expansion of k in k 1546424364.978 * [misc]backup-simplify: Simplify 0 into 0 1546424364.978 * [misc]backup-simplify: Simplify 1 into 1 1546424364.978 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424364.978 * [misc]taylor: Taking taylor expansion of PI in k 1546424364.978 * [misc]backup-simplify: Simplify PI into PI 1546424364.978 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424364.978 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.979 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.979 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.979 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424364.980 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546424364.980 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424364.980 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.980 * [misc]taylor: Taking taylor expansion of k in k 1546424364.980 * [misc]backup-simplify: Simplify 0 into 0 1546424364.980 * [misc]backup-simplify: Simplify 1 into 1 1546424364.980 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.981 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424364.981 * [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 1546424364.981 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546424364.981 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424364.981 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424364.981 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424364.981 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.981 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.981 * [misc]taylor: Taking taylor expansion of k in k 1546424364.981 * [misc]backup-simplify: Simplify 0 into 0 1546424364.981 * [misc]backup-simplify: Simplify 1 into 1 1546424364.981 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424364.981 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424364.981 * [misc]taylor: Taking taylor expansion of 2 in k 1546424364.981 * [misc]backup-simplify: Simplify 2 into 2 1546424364.981 * [misc]taylor: Taking taylor expansion of n in k 1546424364.981 * [misc]backup-simplify: Simplify n into n 1546424364.982 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424364.982 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424364.982 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.982 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.982 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.982 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424364.982 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424364.982 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546424364.982 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546424364.982 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546424364.982 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424364.982 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.983 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424364.983 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424364.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424364.983 * [misc]taylor: Taking taylor expansion of k in k 1546424364.983 * [misc]backup-simplify: Simplify 0 into 0 1546424364.983 * [misc]backup-simplify: Simplify 1 into 1 1546424364.983 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424364.983 * [misc]taylor: Taking taylor expansion of PI in k 1546424364.983 * [misc]backup-simplify: Simplify PI into PI 1546424364.983 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424364.983 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424364.983 * [misc]backup-simplify: Simplify (- 0) into 0 1546424364.983 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424364.984 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424364.985 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546424364.985 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424364.985 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424364.985 * [misc]taylor: Taking taylor expansion of k in k 1546424364.985 * [misc]backup-simplify: Simplify 0 into 0 1546424364.985 * [misc]backup-simplify: Simplify 1 into 1 1546424364.985 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424364.985 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424364.985 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424364.986 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1546424364.986 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1546424364.986 * [misc]taylor: Taking taylor expansion of 0 in n 1546424364.986 * [misc]backup-simplify: Simplify 0 into 0 1546424364.986 * [misc]backup-simplify: Simplify 0 into 0 1546424364.989 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546424364.989 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424364.989 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.989 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.990 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546424364.994 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546424364.994 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546424364.995 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546424364.995 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424364.995 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424364.995 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424364.996 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546424364.996 * [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)))) 1546424364.997 * [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)))))) 1546424364.999 * [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))))) 1546424364.999 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546424364.999 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546424364.999 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424364.999 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424364.999 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546424364.999 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424364.999 * [misc]taylor: Taking taylor expansion of 2 in n 1546424364.999 * [misc]backup-simplify: Simplify 2 into 2 1546424364.999 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424364.999 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424364.999 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424364.999 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424364.999 * [misc]taylor: Taking taylor expansion of n in n 1546424365.000 * [misc]backup-simplify: Simplify 0 into 0 1546424365.000 * [misc]backup-simplify: Simplify 1 into 1 1546424365.000 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.000 * [misc]backup-simplify: Simplify PI into PI 1546424365.000 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424365.000 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424365.001 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.001 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.001 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546424365.001 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.002 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.002 * [misc]backup-simplify: Simplify 0 into 0 1546424365.002 * [misc]backup-simplify: Simplify 0 into 0 1546424365.002 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546424365.003 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424365.008 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546424365.008 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424365.008 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.008 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.010 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546424365.014 * [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))) 1546424365.014 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546424365.016 * [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 1546424365.016 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424365.016 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.017 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.017 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546424365.018 * [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))) 1546424365.021 * [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))))))) 1546424365.025 * [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))))))))) 1546424365.026 * [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 1546424365.026 * [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 1546424365.026 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546424365.026 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.026 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.026 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546424365.026 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546424365.026 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424365.026 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.026 * [misc]backup-simplify: Simplify 2 into 2 1546424365.026 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424365.026 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424365.026 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.026 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.026 * [misc]backup-simplify: Simplify PI into PI 1546424365.027 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.027 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546424365.027 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546424365.027 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.027 * [misc]backup-simplify: Simplify PI into PI 1546424365.027 * [misc]taylor: Taking taylor expansion of n in n 1546424365.027 * [misc]backup-simplify: Simplify 0 into 0 1546424365.027 * [misc]backup-simplify: Simplify 1 into 1 1546424365.027 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546424365.028 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546424365.028 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.028 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.028 * [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 1546424365.028 * [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 1546424365.028 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546424365.028 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.028 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.028 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546424365.028 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424365.028 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.028 * [misc]backup-simplify: Simplify 2 into 2 1546424365.028 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424365.028 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424365.028 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424365.028 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424365.028 * [misc]taylor: Taking taylor expansion of n in n 1546424365.028 * [misc]backup-simplify: Simplify 0 into 0 1546424365.028 * [misc]backup-simplify: Simplify 1 into 1 1546424365.028 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.028 * [misc]backup-simplify: Simplify PI into PI 1546424365.029 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424365.029 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424365.029 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.029 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.029 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546424365.029 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546424365.029 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.029 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.029 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546424365.029 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546424365.029 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424365.029 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.030 * [misc]backup-simplify: Simplify 2 into 2 1546424365.030 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424365.030 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424365.030 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424365.030 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424365.030 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.030 * [misc]backup-simplify: Simplify 2 into 2 1546424365.030 * [misc]taylor: Taking taylor expansion of n in n 1546424365.030 * [misc]backup-simplify: Simplify 0 into 0 1546424365.030 * [misc]backup-simplify: Simplify 1 into 1 1546424365.030 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424365.030 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424365.030 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424365.030 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546424365.030 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546424365.030 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.030 * [misc]backup-simplify: Simplify PI into PI 1546424365.030 * [misc]taylor: Taking taylor expansion of n in n 1546424365.030 * [misc]backup-simplify: Simplify 0 into 0 1546424365.030 * [misc]backup-simplify: Simplify 1 into 1 1546424365.030 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546424365.031 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546424365.031 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.031 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.032 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546424365.032 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546424365.032 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.032 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546424365.033 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.033 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424365.033 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546424365.033 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546424365.033 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.033 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.033 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.034 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.034 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.034 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.034 * [misc]backup-simplify: Simplify 0 into 0 1546424365.034 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424365.036 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424365.036 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424365.037 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424365.037 * [misc]backup-simplify: Simplify 0 into 0 1546424365.037 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424365.038 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424365.042 * [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 1546424365.043 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546424365.043 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.044 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1546424365.049 * [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))) 1546424365.049 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1546424365.051 * [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 1546424365.051 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546424365.051 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.051 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.051 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1546424365.052 * [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))) 1546424365.056 * [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))))))))) 1546424365.065 * [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))))))))))))))) 1546424365.065 * [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 1546424365.065 * [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 1546424365.065 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546424365.065 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.065 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.065 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546424365.065 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546424365.065 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424365.065 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.065 * [misc]backup-simplify: Simplify 2 into 2 1546424365.066 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424365.066 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424365.066 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.066 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.066 * [misc]backup-simplify: Simplify PI into PI 1546424365.066 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.066 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546424365.066 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546424365.066 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.066 * [misc]backup-simplify: Simplify PI into PI 1546424365.066 * [misc]taylor: Taking taylor expansion of n in n 1546424365.066 * [misc]backup-simplify: Simplify 0 into 0 1546424365.066 * [misc]backup-simplify: Simplify 1 into 1 1546424365.067 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546424365.067 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546424365.067 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.068 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.068 * [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 1546424365.068 * [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 1546424365.068 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1546424365.068 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.068 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.068 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1546424365.068 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1546424365.068 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424365.068 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.068 * [misc]backup-simplify: Simplify 2 into 2 1546424365.069 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424365.069 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424365.069 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1546424365.069 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.069 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.069 * [misc]backup-simplify: Simplify PI into PI 1546424365.069 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.069 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546424365.069 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546424365.069 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.069 * [misc]backup-simplify: Simplify PI into PI 1546424365.069 * [misc]taylor: Taking taylor expansion of n in n 1546424365.069 * [misc]backup-simplify: Simplify 0 into 0 1546424365.069 * [misc]backup-simplify: Simplify 1 into 1 1546424365.069 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546424365.070 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546424365.070 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.071 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.071 * [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 1546424365.071 * [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 1546424365.071 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1546424365.071 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.071 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.071 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1546424365.071 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1546424365.071 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424365.071 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.071 * [misc]backup-simplify: Simplify 2 into 2 1546424365.071 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424365.071 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424365.071 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1546424365.071 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424365.071 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424365.072 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.072 * [misc]backup-simplify: Simplify 2 into 2 1546424365.072 * [misc]taylor: Taking taylor expansion of n in n 1546424365.072 * [misc]backup-simplify: Simplify 0 into 0 1546424365.072 * [misc]backup-simplify: Simplify 1 into 1 1546424365.072 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424365.072 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424365.072 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424365.073 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424365.073 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546424365.073 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546424365.073 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.073 * [misc]backup-simplify: Simplify PI into PI 1546424365.073 * [misc]taylor: Taking taylor expansion of n in n 1546424365.073 * [misc]backup-simplify: Simplify 0 into 0 1546424365.073 * [misc]backup-simplify: Simplify 1 into 1 1546424365.073 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546424365.074 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546424365.074 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.074 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.074 * [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 1546424365.074 * [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 1546424365.074 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1546424365.074 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.074 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.074 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1546424365.075 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1546424365.075 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424365.075 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.075 * [misc]backup-simplify: Simplify 2 into 2 1546424365.075 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424365.075 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424365.075 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1546424365.075 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424365.075 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424365.075 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.075 * [misc]backup-simplify: Simplify 2 into 2 1546424365.075 * [misc]taylor: Taking taylor expansion of n in n 1546424365.075 * [misc]backup-simplify: Simplify 0 into 0 1546424365.075 * [misc]backup-simplify: Simplify 1 into 1 1546424365.076 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424365.076 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424365.076 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424365.076 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.076 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.076 * [misc]backup-simplify: Simplify PI into PI 1546424365.076 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.076 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424365.076 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424365.076 * [misc]taylor: Taking taylor expansion of n in n 1546424365.076 * [misc]backup-simplify: Simplify 0 into 0 1546424365.076 * [misc]backup-simplify: Simplify 1 into 1 1546424365.076 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.076 * [misc]backup-simplify: Simplify PI into PI 1546424365.077 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424365.077 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424365.078 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.078 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.078 * [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 1546424365.078 * [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 1546424365.078 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546424365.078 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.078 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.078 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546424365.078 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424365.078 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.078 * [misc]backup-simplify: Simplify 2 into 2 1546424365.078 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424365.079 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424365.079 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546424365.079 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546424365.079 * [misc]taylor: Taking taylor expansion of n in n 1546424365.079 * [misc]backup-simplify: Simplify 0 into 0 1546424365.079 * [misc]backup-simplify: Simplify 1 into 1 1546424365.079 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.079 * [misc]backup-simplify: Simplify PI into PI 1546424365.079 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546424365.080 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546424365.080 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.080 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.080 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546424365.080 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546424365.080 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.081 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.081 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546424365.081 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546424365.081 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424365.081 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.081 * [misc]backup-simplify: Simplify 2 into 2 1546424365.081 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424365.081 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424365.081 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424365.081 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424365.081 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.081 * [misc]backup-simplify: Simplify 2 into 2 1546424365.081 * [misc]taylor: Taking taylor expansion of n in n 1546424365.081 * [misc]backup-simplify: Simplify 0 into 0 1546424365.081 * [misc]backup-simplify: Simplify 1 into 1 1546424365.081 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424365.082 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424365.082 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424365.082 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546424365.082 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546424365.082 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.082 * [misc]backup-simplify: Simplify PI into PI 1546424365.082 * [misc]taylor: Taking taylor expansion of n in n 1546424365.082 * [misc]backup-simplify: Simplify 0 into 0 1546424365.082 * [misc]backup-simplify: Simplify 1 into 1 1546424365.082 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546424365.083 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546424365.083 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.084 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546424365.084 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546424365.085 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546424365.085 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.086 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1546424365.087 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1546424365.088 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1546424365.088 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.089 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424365.089 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424365.089 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1546424365.090 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1546424365.090 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1546424365.090 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.091 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424365.092 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1546424365.092 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1546424365.093 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1546424365.093 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.094 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546424365.094 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.094 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424365.094 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546424365.095 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546424365.095 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424365.095 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.095 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.096 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.096 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.096 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.097 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.097 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.097 * [misc]backup-simplify: Simplify 0 into 0 1546424365.099 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546424365.100 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1546424365.102 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546424365.105 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546424365.106 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424365.108 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546424365.108 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546424365.110 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424365.111 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424365.111 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1546424365.112 * [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)))))) 1546424365.114 * [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)))))) 1546424365.116 * [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)))))) 1546424365.119 * [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))))))) 1546424365.122 * [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))))))) 1546424365.128 * [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))))))))) 1546424365.135 * [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))))))))) 1546424365.142 * [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))))))))) 1546424365.144 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546424365.145 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546424365.147 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546424365.149 * [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)))) 1546424365.153 * [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)))) 1546424365.155 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546424365.156 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546424365.166 * [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))))))))))))))) 1546424365.166 * [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)) 1546424365.166 * [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 1546424365.166 * [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 1546424365.167 * [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 1546424365.167 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424365.167 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546424365.167 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546424365.167 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424365.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.167 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.167 * [misc]taylor: Taking taylor expansion of k in n 1546424365.167 * [misc]backup-simplify: Simplify k into k 1546424365.167 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.167 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.167 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.167 * [misc]backup-simplify: Simplify PI into PI 1546424365.168 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.168 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.168 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424365.168 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424365.168 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546424365.169 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424365.169 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424365.169 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424365.169 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424365.169 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424365.169 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.169 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.169 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.169 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.169 * [misc]taylor: Taking taylor expansion of k in n 1546424365.169 * [misc]backup-simplify: Simplify k into k 1546424365.169 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.169 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424365.169 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424365.169 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.169 * [misc]backup-simplify: Simplify 2 into 2 1546424365.169 * [misc]taylor: Taking taylor expansion of n in n 1546424365.169 * [misc]backup-simplify: Simplify 0 into 0 1546424365.169 * [misc]backup-simplify: Simplify 1 into 1 1546424365.169 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424365.170 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424365.170 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.170 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424365.170 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424365.170 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424365.171 * [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))) 1546424365.171 * [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)))) 1546424365.171 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546424365.171 * [misc]taylor: Taking taylor expansion of k in n 1546424365.171 * [misc]backup-simplify: Simplify k into k 1546424365.171 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546424365.171 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546424365.171 * [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 1546424365.171 * [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 1546424365.171 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424365.171 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546424365.171 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546424365.171 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424365.171 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.171 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424365.172 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.172 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424365.172 * [misc]taylor: Taking taylor expansion of k in k 1546424365.172 * [misc]backup-simplify: Simplify 0 into 0 1546424365.172 * [misc]backup-simplify: Simplify 1 into 1 1546424365.172 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424365.172 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424365.172 * [misc]taylor: Taking taylor expansion of PI in k 1546424365.172 * [misc]backup-simplify: Simplify PI into PI 1546424365.172 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.172 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424365.173 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424365.173 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424365.173 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546424365.174 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424365.174 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424365.174 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424365.174 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424365.174 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424365.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.174 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424365.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.174 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424365.174 * [misc]taylor: Taking taylor expansion of k in k 1546424365.174 * [misc]backup-simplify: Simplify 0 into 0 1546424365.174 * [misc]backup-simplify: Simplify 1 into 1 1546424365.174 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424365.174 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424365.174 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424365.174 * [misc]taylor: Taking taylor expansion of 2 in k 1546424365.174 * [misc]backup-simplify: Simplify 2 into 2 1546424365.174 * [misc]taylor: Taking taylor expansion of n in k 1546424365.174 * [misc]backup-simplify: Simplify n into n 1546424365.174 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424365.174 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424365.175 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424365.175 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424365.175 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424365.175 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424365.175 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424365.175 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424365.175 * [misc]taylor: Taking taylor expansion of k in k 1546424365.175 * [misc]backup-simplify: Simplify 0 into 0 1546424365.175 * [misc]backup-simplify: Simplify 1 into 1 1546424365.175 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.176 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424365.176 * [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 1546424365.176 * [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 1546424365.176 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424365.176 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546424365.176 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546424365.176 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424365.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.176 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424365.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.176 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424365.176 * [misc]taylor: Taking taylor expansion of k in k 1546424365.176 * [misc]backup-simplify: Simplify 0 into 0 1546424365.176 * [misc]backup-simplify: Simplify 1 into 1 1546424365.177 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424365.177 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424365.177 * [misc]taylor: Taking taylor expansion of PI in k 1546424365.177 * [misc]backup-simplify: Simplify PI into PI 1546424365.177 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.177 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424365.177 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424365.177 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424365.178 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546424365.178 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424365.178 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424365.178 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424365.178 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424365.178 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424365.178 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.178 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424365.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.179 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424365.179 * [misc]taylor: Taking taylor expansion of k in k 1546424365.179 * [misc]backup-simplify: Simplify 0 into 0 1546424365.179 * [misc]backup-simplify: Simplify 1 into 1 1546424365.179 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424365.179 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424365.179 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424365.179 * [misc]taylor: Taking taylor expansion of 2 in k 1546424365.179 * [misc]backup-simplify: Simplify 2 into 2 1546424365.179 * [misc]taylor: Taking taylor expansion of n in k 1546424365.179 * [misc]backup-simplify: Simplify n into n 1546424365.179 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424365.179 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424365.179 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424365.179 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424365.180 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424365.180 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424365.180 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424365.180 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424365.180 * [misc]taylor: Taking taylor expansion of k in k 1546424365.180 * [misc]backup-simplify: Simplify 0 into 0 1546424365.180 * [misc]backup-simplify: Simplify 1 into 1 1546424365.180 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.181 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424365.181 * [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))))) 1546424365.181 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546424365.181 * [misc]taylor: Taking taylor expansion of 0 in n 1546424365.181 * [misc]backup-simplify: Simplify 0 into 0 1546424365.181 * [misc]backup-simplify: Simplify 0 into 0 1546424365.182 * [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 1546424365.182 * [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))))))) 1546424365.182 * [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 1546424365.182 * [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 1546424365.182 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.182 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.182 * [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 1546424365.182 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424365.182 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546424365.182 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546424365.182 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424365.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.183 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.183 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.183 * [misc]taylor: Taking taylor expansion of k in n 1546424365.183 * [misc]backup-simplify: Simplify k into k 1546424365.183 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.183 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.183 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.183 * [misc]backup-simplify: Simplify PI into PI 1546424365.183 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.183 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.183 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424365.183 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424365.184 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546424365.184 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424365.184 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424365.184 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424365.184 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424365.184 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424365.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.184 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.184 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.185 * [misc]taylor: Taking taylor expansion of k in n 1546424365.185 * [misc]backup-simplify: Simplify k into k 1546424365.185 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.185 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424365.185 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424365.185 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.185 * [misc]backup-simplify: Simplify 2 into 2 1546424365.185 * [misc]taylor: Taking taylor expansion of n in n 1546424365.185 * [misc]backup-simplify: Simplify 0 into 0 1546424365.185 * [misc]backup-simplify: Simplify 1 into 1 1546424365.185 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424365.185 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424365.185 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.185 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424365.185 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424365.186 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424365.186 * [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))) 1546424365.186 * [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)))) 1546424365.187 * [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))))) 1546424365.187 * [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)))))) 1546424365.188 * [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))))))) 1546424365.188 * [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))))))) 1546424365.188 * [misc]backup-simplify: Simplify 0 into 0 1546424365.190 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424365.190 * [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 1546424365.190 * [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))))))) 1546424365.190 * [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 1546424365.191 * [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 1546424365.191 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.191 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.191 * [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 1546424365.191 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424365.191 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546424365.191 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546424365.191 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424365.191 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.191 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.191 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.191 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.191 * [misc]taylor: Taking taylor expansion of k in n 1546424365.191 * [misc]backup-simplify: Simplify k into k 1546424365.191 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.191 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.191 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.191 * [misc]backup-simplify: Simplify PI into PI 1546424365.192 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.192 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.192 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424365.192 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424365.192 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546424365.194 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424365.194 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424365.194 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424365.194 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424365.194 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424365.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.194 * [misc]taylor: Taking taylor expansion of k in n 1546424365.194 * [misc]backup-simplify: Simplify k into k 1546424365.194 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.194 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424365.194 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424365.195 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.195 * [misc]backup-simplify: Simplify 2 into 2 1546424365.195 * [misc]taylor: Taking taylor expansion of n in n 1546424365.195 * [misc]backup-simplify: Simplify 0 into 0 1546424365.195 * [misc]backup-simplify: Simplify 1 into 1 1546424365.195 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424365.195 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424365.195 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.195 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424365.195 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424365.196 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424365.196 * [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))) 1546424365.196 * [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)))) 1546424365.197 * [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))))) 1546424365.197 * [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)))))) 1546424365.198 * [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))))))) 1546424365.198 * [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))))))) 1546424365.199 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546424365.201 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424365.201 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424365.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424365.202 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.202 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424365.203 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546424365.204 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424365.206 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546424365.206 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424365.207 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424365.207 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.207 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.208 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1546424365.209 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424365.209 * [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 1546424365.210 * [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 1546424365.210 * [misc]backup-simplify: Simplify (- 0) into 0 1546424365.210 * [misc]backup-simplify: Simplify 0 into 0 1546424365.210 * [misc]backup-simplify: Simplify 0 into 0 1546424365.212 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424365.212 * [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 1546424365.213 * [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))))))) 1546424365.213 * [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 1546424365.213 * [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 1546424365.213 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.213 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.213 * [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 1546424365.213 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424365.213 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546424365.213 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546424365.213 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424365.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.213 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.213 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.213 * [misc]taylor: Taking taylor expansion of k in n 1546424365.213 * [misc]backup-simplify: Simplify k into k 1546424365.214 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.214 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.214 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.214 * [misc]backup-simplify: Simplify PI into PI 1546424365.214 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.214 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.214 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424365.214 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424365.215 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546424365.215 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424365.215 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424365.215 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424365.215 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424365.215 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424365.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.215 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.215 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.215 * [misc]taylor: Taking taylor expansion of k in n 1546424365.215 * [misc]backup-simplify: Simplify k into k 1546424365.215 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.216 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424365.216 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424365.216 * [misc]taylor: Taking taylor expansion of 2 in n 1546424365.216 * [misc]backup-simplify: Simplify 2 into 2 1546424365.216 * [misc]taylor: Taking taylor expansion of n in n 1546424365.216 * [misc]backup-simplify: Simplify 0 into 0 1546424365.216 * [misc]backup-simplify: Simplify 1 into 1 1546424365.216 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424365.216 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424365.216 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.216 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424365.216 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424365.217 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424365.217 * [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))) 1546424365.217 * [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)))) 1546424365.218 * [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))))) 1546424365.218 * [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)))))) 1546424365.219 * [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))))))) 1546424365.219 * [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))))))) 1546424365.222 * [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)))))))) 1546424365.222 * [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))) 1546424365.222 * [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 1546424365.222 * [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 1546424365.222 * [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 1546424365.223 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424365.223 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424365.223 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424365.223 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424365.223 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.223 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.223 * [misc]taylor: Taking taylor expansion of k in n 1546424365.223 * [misc]backup-simplify: Simplify k into k 1546424365.223 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.223 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424365.223 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424365.223 * [misc]taylor: Taking taylor expansion of -2 in n 1546424365.223 * [misc]backup-simplify: Simplify -2 into -2 1546424365.223 * [misc]taylor: Taking taylor expansion of n in n 1546424365.223 * [misc]backup-simplify: Simplify 0 into 0 1546424365.223 * [misc]backup-simplify: Simplify 1 into 1 1546424365.223 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424365.224 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424365.224 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.224 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424365.224 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424365.224 * [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))) 1546424365.225 * [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)))) 1546424365.225 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424365.225 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546424365.225 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546424365.225 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424365.225 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.225 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.225 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.225 * [misc]taylor: Taking taylor expansion of k in n 1546424365.225 * [misc]backup-simplify: Simplify k into k 1546424365.225 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.225 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.225 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.225 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.225 * [misc]backup-simplify: Simplify PI into PI 1546424365.226 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.226 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.226 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424365.226 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546424365.226 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424365.227 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546424365.227 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546424365.227 * [misc]taylor: Taking taylor expansion of -1 in n 1546424365.227 * [misc]backup-simplify: Simplify -1 into -1 1546424365.227 * [misc]taylor: Taking taylor expansion of k in n 1546424365.227 * [misc]backup-simplify: Simplify k into k 1546424365.227 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546424365.227 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546424365.227 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546424365.227 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546424365.228 * [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))) 1546424365.228 * [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))) 1546424365.228 * [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 1546424365.228 * [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 1546424365.228 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424365.228 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424365.228 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424365.228 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424365.228 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424365.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.228 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424365.228 * [misc]taylor: Taking taylor expansion of k in k 1546424365.228 * [misc]backup-simplify: Simplify 0 into 0 1546424365.229 * [misc]backup-simplify: Simplify 1 into 1 1546424365.229 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424365.229 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.229 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424365.229 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424365.229 * [misc]taylor: Taking taylor expansion of -2 in k 1546424365.229 * [misc]backup-simplify: Simplify -2 into -2 1546424365.229 * [misc]taylor: Taking taylor expansion of n in k 1546424365.229 * [misc]backup-simplify: Simplify n into n 1546424365.229 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424365.229 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424365.229 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424365.229 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424365.229 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424365.230 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424365.230 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424365.230 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546424365.230 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546424365.230 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424365.230 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424365.230 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.230 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.230 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424365.230 * [misc]taylor: Taking taylor expansion of k in k 1546424365.230 * [misc]backup-simplify: Simplify 0 into 0 1546424365.230 * [misc]backup-simplify: Simplify 1 into 1 1546424365.230 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424365.230 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.230 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.230 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424365.230 * [misc]taylor: Taking taylor expansion of PI in k 1546424365.230 * [misc]backup-simplify: Simplify PI into PI 1546424365.231 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.231 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424365.231 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424365.231 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424365.232 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424365.232 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424365.232 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424365.232 * [misc]taylor: Taking taylor expansion of -1 in k 1546424365.232 * [misc]backup-simplify: Simplify -1 into -1 1546424365.232 * [misc]taylor: Taking taylor expansion of k in k 1546424365.232 * [misc]backup-simplify: Simplify 0 into 0 1546424365.232 * [misc]backup-simplify: Simplify 1 into 1 1546424365.232 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424365.232 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.233 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424365.233 * [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))) 1546424365.233 * [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)))) 1546424365.233 * [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 1546424365.233 * [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 1546424365.233 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424365.233 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424365.234 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424365.234 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424365.234 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424365.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.234 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424365.234 * [misc]taylor: Taking taylor expansion of k in k 1546424365.234 * [misc]backup-simplify: Simplify 0 into 0 1546424365.234 * [misc]backup-simplify: Simplify 1 into 1 1546424365.234 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424365.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.234 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424365.234 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424365.234 * [misc]taylor: Taking taylor expansion of -2 in k 1546424365.234 * [misc]backup-simplify: Simplify -2 into -2 1546424365.234 * [misc]taylor: Taking taylor expansion of n in k 1546424365.234 * [misc]backup-simplify: Simplify n into n 1546424365.234 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424365.234 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424365.234 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424365.235 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424365.235 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424365.235 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424365.235 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424365.235 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546424365.235 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546424365.235 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424365.235 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424365.235 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.235 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424365.235 * [misc]taylor: Taking taylor expansion of k in k 1546424365.235 * [misc]backup-simplify: Simplify 0 into 0 1546424365.235 * [misc]backup-simplify: Simplify 1 into 1 1546424365.235 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424365.235 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424365.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.235 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424365.236 * [misc]taylor: Taking taylor expansion of PI in k 1546424365.236 * [misc]backup-simplify: Simplify PI into PI 1546424365.236 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.236 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424365.236 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424365.237 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424365.237 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424365.237 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424365.237 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424365.237 * [misc]taylor: Taking taylor expansion of -1 in k 1546424365.237 * [misc]backup-simplify: Simplify -1 into -1 1546424365.237 * [misc]taylor: Taking taylor expansion of k in k 1546424365.237 * [misc]backup-simplify: Simplify 0 into 0 1546424365.237 * [misc]backup-simplify: Simplify 1 into 1 1546424365.237 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424365.237 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424365.238 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424365.238 * [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))) 1546424365.238 * [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)))) 1546424365.239 * [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 1546424365.239 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.239 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.239 * [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 1546424365.239 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424365.239 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424365.239 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424365.239 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424365.239 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.239 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.239 * [misc]taylor: Taking taylor expansion of k in n 1546424365.239 * [misc]backup-simplify: Simplify k into k 1546424365.239 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.239 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424365.239 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424365.239 * [misc]taylor: Taking taylor expansion of -2 in n 1546424365.239 * [misc]backup-simplify: Simplify -2 into -2 1546424365.239 * [misc]taylor: Taking taylor expansion of n in n 1546424365.239 * [misc]backup-simplify: Simplify 0 into 0 1546424365.239 * [misc]backup-simplify: Simplify 1 into 1 1546424365.240 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424365.240 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424365.240 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.240 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424365.240 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424365.241 * [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))) 1546424365.241 * [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)))) 1546424365.241 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424365.241 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546424365.241 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546424365.241 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424365.241 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.241 * [misc]taylor: Taking taylor expansion of k in n 1546424365.241 * [misc]backup-simplify: Simplify k into k 1546424365.241 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.241 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.241 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.241 * [misc]backup-simplify: Simplify PI into PI 1546424365.242 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.242 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.242 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424365.242 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546424365.243 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424365.243 * [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))) 1546424365.244 * [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)))) 1546424365.245 * [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)))) 1546424365.245 * [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 1546424365.245 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546424365.246 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424365.247 * [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))))) 1546424365.247 * [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 1546424365.247 * [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 1546424365.247 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.247 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.247 * [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 1546424365.247 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424365.247 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424365.247 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424365.248 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424365.248 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.248 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.248 * [misc]taylor: Taking taylor expansion of k in n 1546424365.248 * [misc]backup-simplify: Simplify k into k 1546424365.248 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.248 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424365.248 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424365.248 * [misc]taylor: Taking taylor expansion of -2 in n 1546424365.248 * [misc]backup-simplify: Simplify -2 into -2 1546424365.248 * [misc]taylor: Taking taylor expansion of n in n 1546424365.248 * [misc]backup-simplify: Simplify 0 into 0 1546424365.248 * [misc]backup-simplify: Simplify 1 into 1 1546424365.248 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424365.248 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424365.248 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.249 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424365.249 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424365.249 * [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))) 1546424365.250 * [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)))) 1546424365.250 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424365.250 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546424365.250 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546424365.250 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424365.250 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.250 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.250 * [misc]taylor: Taking taylor expansion of k in n 1546424365.250 * [misc]backup-simplify: Simplify k into k 1546424365.250 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.250 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.250 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.250 * [misc]backup-simplify: Simplify PI into PI 1546424365.250 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.250 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.250 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424365.251 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546424365.251 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424365.252 * [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))) 1546424365.252 * [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)))) 1546424365.253 * [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))))) 1546424365.253 * [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))))) 1546424365.256 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546424365.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424365.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424365.256 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.257 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1546424365.258 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424365.258 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546424365.261 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546424365.261 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424365.261 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424365.261 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424365.262 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424365.262 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546424365.263 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424365.264 * [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 1546424365.264 * [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 1546424365.264 * [misc]backup-simplify: Simplify 0 into 0 1546424365.265 * [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 1546424365.265 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424365.266 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424365.268 * [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))))) 1546424365.268 * [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 1546424365.268 * [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 1546424365.268 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424365.268 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424365.268 * [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 1546424365.268 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424365.268 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424365.268 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424365.268 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424365.268 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.268 * [misc]taylor: Taking taylor expansion of k in n 1546424365.268 * [misc]backup-simplify: Simplify k into k 1546424365.268 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.268 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424365.268 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424365.268 * [misc]taylor: Taking taylor expansion of -2 in n 1546424365.268 * [misc]backup-simplify: Simplify -2 into -2 1546424365.268 * [misc]taylor: Taking taylor expansion of n in n 1546424365.269 * [misc]backup-simplify: Simplify 0 into 0 1546424365.269 * [misc]backup-simplify: Simplify 1 into 1 1546424365.269 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424365.269 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424365.269 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.269 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424365.269 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424365.270 * [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))) 1546424365.270 * [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)))) 1546424365.270 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424365.270 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546424365.270 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546424365.270 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424365.270 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424365.270 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.270 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424365.270 * [misc]taylor: Taking taylor expansion of k in n 1546424365.270 * [misc]backup-simplify: Simplify k into k 1546424365.270 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424365.270 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424365.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424365.271 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546424365.271 * [misc]taylor: Taking taylor expansion of PI in n 1546424365.271 * [misc]backup-simplify: Simplify PI into PI 1546424365.271 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424365.271 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424365.271 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424365.271 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546424365.272 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424365.272 * [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))) 1546424365.273 * [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)))) 1546424365.273 * [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))))) 1546424365.274 * [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))))) 1546424365.276 * [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)))))))) 1546424365.276 * * * [misc]progress: simplifying candidates 1546424365.276 * * * * [misc]progress: [ 1 / 266 ] simplifiying candidate # 1546424365.276 * * * * [misc]progress: [ 2 / 266 ] simplifiying candidate # 1546424365.276 * * * * [misc]progress: [ 3 / 266 ] simplifiying candidate # 1546424365.277 * * * * [misc]progress: [ 4 / 266 ] simplifiying candidate # 1546424365.277 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1546424365.277 * * [misc]simplify: iters left: 3 (5 enodes) 1546424365.278 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1546424365.278 * [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)))))) 1546424365.279 * * * * [misc]progress: [ 5 / 266 ] simplifiying candidate # 1546424365.279 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546424365.279 * * [misc]simplify: iters left: 5 (6 enodes) 1546424365.281 * * [misc]simplify: iters left: 4 (8 enodes) 1546424365.283 * * [misc]simplify: iters left: 3 (11 enodes) 1546424365.286 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546424365.286 * [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)))))) 1546424365.286 * * * * [misc]progress: [ 6 / 266 ] simplifiying candidate # 1546424365.287 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546424365.287 * * [misc]simplify: iters left: 5 (6 enodes) 1546424365.288 * * [misc]simplify: iters left: 4 (8 enodes) 1546424365.291 * * [misc]simplify: iters left: 3 (11 enodes) 1546424365.294 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546424365.294 * [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)))))) 1546424365.294 * * * * [misc]progress: [ 7 / 266 ] simplifiying candidate # 1546424365.295 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546424365.295 * * [misc]simplify: iters left: 4 (5 enodes) 1546424365.296 * * [misc]simplify: iters left: 3 (7 enodes) 1546424365.298 * * [misc]simplify: iters left: 2 (10 enodes) 1546424365.301 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546424365.301 * [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)))))) 1546424365.301 * * * * [misc]progress: [ 8 / 266 ] simplifiying candidate # 1546424365.301 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546424365.302 * * [misc]simplify: iters left: 5 (6 enodes) 1546424365.303 * * [misc]simplify: iters left: 4 (8 enodes) 1546424365.306 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546424365.306 * [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)))))) 1546424365.306 * * * * [misc]progress: [ 9 / 266 ] simplifiying candidate # 1546424365.306 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546424365.306 * * [misc]simplify: iters left: 5 (6 enodes) 1546424365.308 * * [misc]simplify: iters left: 4 (8 enodes) 1546424365.310 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546424365.310 * [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)))))) 1546424365.310 * * * * [misc]progress: [ 10 / 266 ] simplifiying candidate # 1546424365.310 * * * * [misc]progress: [ 11 / 266 ] simplifiying candidate # 1546424365.311 * * * * [misc]progress: [ 12 / 266 ] simplifiying candidate # 1546424365.311 * * * * [misc]progress: [ 13 / 266 ] simplifiying candidate # 1546424365.311 * * * * [misc]progress: [ 14 / 266 ] simplifiying candidate # 1546424365.311 * * * * [misc]progress: [ 15 / 266 ] simplifiying candidate # 1546424365.311 * * * * [misc]progress: [ 16 / 266 ] simplifiying candidate # 1546424365.311 * * * * [misc]progress: [ 17 / 266 ] simplifiying candidate # 1546424365.311 * * * * [misc]progress: [ 18 / 266 ] simplifiying candidate # 1546424365.311 * * * * [misc]progress: [ 19 / 266 ] simplifiying candidate # 1546424365.311 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1546424365.311 * * [misc]simplify: iters left: 6 (9 enodes) 1546424365.315 * * [misc]simplify: iters left: 5 (16 enodes) 1546424365.321 * * [misc]simplify: iters left: 4 (32 enodes) 1546424365.333 * * [misc]simplify: iters left: 3 (72 enodes) 1546424365.373 * * [misc]simplify: iters left: 2 (195 enodes) 1546424365.438 * * [misc]simplify: iters left: 1 (418 enodes) 1546424365.616 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1546424365.616 * [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))))))) 1546424365.616 * * * * [misc]progress: [ 20 / 266 ] simplifiying candidate # 1546424365.616 * * * * [misc]progress: [ 21 / 266 ] simplifiying candidate # 1546424365.617 * [enter]simplify: Simplifying (* n 2) 1546424365.617 * * [misc]simplify: iters left: 2 (3 enodes) 1546424365.621 * * [misc]simplify: iters left: 1 (4 enodes) 1546424365.622 * [exit]simplify: Simplified to (* n 2) 1546424365.622 * [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))))))) 1546424365.622 * * * * [misc]progress: [ 22 / 266 ] simplifiying candidate # 1546424365.622 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546424365.622 * * [misc]simplify: iters left: 3 (6 enodes) 1546424365.624 * * [misc]simplify: iters left: 2 (7 enodes) 1546424365.626 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546424365.626 * [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)))))) 1546424365.626 * * * * [misc]progress: [ 23 / 266 ] simplifiying candidate # 1546424365.626 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546424365.626 * * [misc]simplify: iters left: 5 (6 enodes) 1546424365.628 * * [misc]simplify: iters left: 4 (8 enodes) 1546424365.629 * * [misc]simplify: iters left: 3 (11 enodes) 1546424365.630 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546424365.630 * [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))))))) 1546424365.630 * * * * [misc]progress: [ 24 / 266 ] simplifiying candidate # 1546424365.631 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546424365.631 * * [misc]simplify: iters left: 5 (6 enodes) 1546424365.632 * * [misc]simplify: iters left: 4 (8 enodes) 1546424365.633 * * [misc]simplify: iters left: 3 (11 enodes) 1546424365.634 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546424365.634 * [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))))))) 1546424365.634 * * * * [misc]progress: [ 25 / 266 ] simplifiying candidate # 1546424365.634 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546424365.634 * * [misc]simplify: iters left: 4 (5 enodes) 1546424365.635 * * [misc]simplify: iters left: 3 (7 enodes) 1546424365.636 * * [misc]simplify: iters left: 2 (10 enodes) 1546424365.637 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546424365.637 * [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)))))) 1546424365.637 * * * * [misc]progress: [ 26 / 266 ] simplifiying candidate # 1546424365.638 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546424365.638 * * [misc]simplify: iters left: 5 (7 enodes) 1546424365.639 * * [misc]simplify: iters left: 4 (10 enodes) 1546424365.640 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546424365.640 * [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))))))) 1546424365.640 * * * * [misc]progress: [ 27 / 266 ] simplifiying candidate # 1546424365.640 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546424365.640 * * [misc]simplify: iters left: 5 (7 enodes) 1546424365.642 * * [misc]simplify: iters left: 4 (10 enodes) 1546424365.643 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546424365.643 * [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))))))) 1546424365.643 * * * * [misc]progress: [ 28 / 266 ] simplifiying candidate # 1546424365.643 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1546424365.643 * * [misc]simplify: iters left: 5 (7 enodes) 1546424365.644 * * [misc]simplify: iters left: 4 (9 enodes) 1546424365.645 * * [misc]simplify: iters left: 3 (12 enodes) 1546424365.647 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546424365.647 * [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))))))) 1546424365.647 * * * * [misc]progress: [ 29 / 266 ] simplifiying candidate # 1546424365.647 * * * * [misc]progress: [ 30 / 266 ] simplifiying candidate # 1546424365.647 * * * * [misc]progress: [ 31 / 266 ] simplifiying candidate # 1546424365.647 * * * * [misc]progress: [ 32 / 266 ] simplifiying candidate # 1546424365.647 * * * * [misc]progress: [ 33 / 266 ] simplifiying candidate # 1546424365.647 * * * * [misc]progress: [ 34 / 266 ] simplifiying candidate # 1546424365.647 * * * * [misc]progress: [ 35 / 266 ] simplifiying candidate # 1546424365.647 * * * * [misc]progress: [ 36 / 266 ] simplifiying candidate # 1546424365.647 * * * * [misc]progress: [ 37 / 266 ] simplifiying candidate # 1546424365.647 * * * * [misc]progress: [ 38 / 266 ] simplifiying candidate # 1546424365.648 * * * * [misc]progress: [ 39 / 266 ] simplifiying candidate # 1546424365.648 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546424365.648 * * [misc]simplify: iters left: 6 (12 enodes) 1546424365.650 * * [misc]simplify: iters left: 5 (21 enodes) 1546424365.653 * * [misc]simplify: iters left: 4 (44 enodes) 1546424365.670 * * [misc]simplify: iters left: 3 (133 enodes) 1546424365.739 * * [misc]simplify: iters left: 2 (379 enodes) 1546424365.883 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1546424365.883 * [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)))))) 1546424365.883 * * * * [misc]progress: [ 40 / 266 ] simplifiying candidate # 1546424365.883 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546424365.883 * * [misc]simplify: iters left: 6 (12 enodes) 1546424365.886 * * [misc]simplify: iters left: 5 (21 enodes) 1546424365.889 * * [misc]simplify: iters left: 4 (44 enodes) 1546424365.899 * * [misc]simplify: iters left: 3 (133 enodes) 1546424365.957 * * [misc]simplify: iters left: 2 (379 enodes) 1546424366.140 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1546424366.140 * [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)))))) 1546424366.140 * * * * [misc]progress: [ 41 / 266 ] simplifiying candidate # 1546424366.141 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.141 * * [misc]simplify: iters left: 6 (12 enodes) 1546424366.144 * * [misc]simplify: iters left: 5 (19 enodes) 1546424366.150 * * [misc]simplify: iters left: 4 (32 enodes) 1546424366.161 * * [misc]simplify: iters left: 3 (69 enodes) 1546424366.193 * * [misc]simplify: iters left: 2 (208 enodes) 1546424366.286 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1546424366.286 * [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)))))) 1546424366.287 * * * * [misc]progress: [ 42 / 266 ] simplifiying candidate # 1546424366.287 * * * * [misc]progress: [ 43 / 266 ] simplifiying candidate # 1546424366.287 * * * * [misc]progress: [ 44 / 266 ] simplifiying candidate # 1546424366.287 * [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))))) 1546424366.287 * * [misc]simplify: iters left: 6 (14 enodes) 1546424366.292 * * [misc]simplify: iters left: 5 (26 enodes) 1546424366.301 * * [misc]simplify: iters left: 4 (58 enodes) 1546424366.321 * * [misc]simplify: iters left: 3 (117 enodes) 1546424366.368 * * [misc]simplify: iters left: 2 (193 enodes) 1546424366.430 * * [misc]simplify: iters left: 1 (263 enodes) 1546424366.535 * [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))))) 1546424366.535 * [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)))))))) 1546424366.535 * * * * [misc]progress: [ 45 / 266 ] simplifiying candidate # 1546424366.535 * * * * [misc]progress: [ 46 / 266 ] simplifiying candidate # 1546424366.535 * * * * [misc]progress: [ 47 / 266 ] simplifiying candidate # 1546424366.536 * * * * [misc]progress: [ 48 / 266 ] simplifiying candidate # 1546424366.536 * * * * [misc]progress: [ 49 / 266 ] simplifiying candidate # 1546424366.536 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546424366.536 * * [misc]simplify: iters left: 6 (10 enodes) 1546424366.539 * * [misc]simplify: iters left: 5 (14 enodes) 1546424366.543 * * [misc]simplify: iters left: 4 (16 enodes) 1546424366.548 * * [misc]simplify: iters left: 3 (17 enodes) 1546424366.553 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546424366.553 * [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))))))) 1546424366.553 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424366.553 * * [misc]simplify: iters left: 6 (10 enodes) 1546424366.556 * * [misc]simplify: iters left: 5 (13 enodes) 1546424366.560 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424366.560 * [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)))))) 1546424366.560 * * * * [misc]progress: [ 50 / 266 ] simplifiying candidate # 1546424366.560 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546424366.561 * * [misc]simplify: iters left: 6 (10 enodes) 1546424366.564 * * [misc]simplify: iters left: 5 (14 enodes) 1546424366.568 * * [misc]simplify: iters left: 4 (16 enodes) 1546424366.572 * * [misc]simplify: iters left: 3 (17 enodes) 1546424366.577 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546424366.577 * [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))))))) 1546424366.577 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424366.577 * * [misc]simplify: iters left: 6 (10 enodes) 1546424366.580 * * [misc]simplify: iters left: 5 (13 enodes) 1546424366.584 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424366.584 * [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)))))) 1546424366.584 * * * * [misc]progress: [ 51 / 266 ] simplifiying candidate # 1546424366.585 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546424366.585 * * [misc]simplify: iters left: 6 (11 enodes) 1546424366.588 * * [misc]simplify: iters left: 5 (15 enodes) 1546424366.593 * * [misc]simplify: iters left: 4 (20 enodes) 1546424366.598 * * [misc]simplify: iters left: 3 (21 enodes) 1546424366.602 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546424366.602 * [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))))))) 1546424366.602 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424366.602 * * [misc]simplify: iters left: 6 (9 enodes) 1546424366.603 * * [misc]simplify: iters left: 5 (11 enodes) 1546424366.605 * * [misc]simplify: iters left: 4 (14 enodes) 1546424366.607 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424366.607 * [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))))))) 1546424366.607 * * * * [misc]progress: [ 52 / 266 ] simplifiying candidate # 1546424366.607 * [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)))))) 1546424366.607 * * [misc]simplify: iters left: 6 (14 enodes) 1546424366.609 * * [misc]simplify: iters left: 5 (23 enodes) 1546424366.613 * * [misc]simplify: iters left: 4 (35 enodes) 1546424366.618 * * [misc]simplify: iters left: 3 (38 enodes) 1546424366.622 * * [misc]simplify: iters left: 2 (41 enodes) 1546424366.629 * [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)))))) 1546424366.629 * [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)))))))) 1546424366.629 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.629 * * [misc]simplify: iters left: 6 (12 enodes) 1546424366.631 * * [misc]simplify: iters left: 5 (15 enodes) 1546424366.633 * * [misc]simplify: iters left: 4 (18 enodes) 1546424366.635 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.635 * [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)))))))) 1546424366.635 * * * * [misc]progress: [ 53 / 266 ] simplifiying candidate # 1546424366.636 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.636 * * [misc]simplify: iters left: 6 (13 enodes) 1546424366.638 * * [misc]simplify: iters left: 5 (18 enodes) 1546424366.640 * * [misc]simplify: iters left: 4 (23 enodes) 1546424366.643 * * [misc]simplify: iters left: 3 (24 enodes) 1546424366.650 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.650 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424366.650 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.650 * * [misc]simplify: iters left: 6 (12 enodes) 1546424366.654 * * [misc]simplify: iters left: 5 (15 enodes) 1546424366.658 * * [misc]simplify: iters left: 4 (18 enodes) 1546424366.661 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.661 * [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)))))))) 1546424366.661 * * * * [misc]progress: [ 54 / 266 ] simplifiying candidate # 1546424366.661 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546424366.661 * * [misc]simplify: iters left: 6 (6 enodes) 1546424366.663 * * [misc]simplify: iters left: 5 (10 enodes) 1546424366.664 * * [misc]simplify: iters left: 4 (16 enodes) 1546424366.666 * * [misc]simplify: iters left: 3 (18 enodes) 1546424366.668 * * [misc]simplify: iters left: 2 (23 enodes) 1546424366.671 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546424366.671 * [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))))))) 1546424366.671 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.671 * * [misc]simplify: iters left: 6 (11 enodes) 1546424366.672 * * [misc]simplify: iters left: 5 (14 enodes) 1546424366.674 * * [misc]simplify: iters left: 4 (17 enodes) 1546424366.676 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.677 * [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))))))) 1546424366.677 * * * * [misc]progress: [ 55 / 266 ] simplifiying candidate # 1546424366.677 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546424366.677 * * [misc]simplify: iters left: 5 (9 enodes) 1546424366.678 * * [misc]simplify: iters left: 4 (11 enodes) 1546424366.679 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546424366.680 * [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))))))) 1546424366.680 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424366.680 * * [misc]simplify: iters left: 6 (10 enodes) 1546424366.681 * * [misc]simplify: iters left: 5 (13 enodes) 1546424366.683 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424366.683 * [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)))))) 1546424366.683 * * * * [misc]progress: [ 56 / 266 ] simplifiying candidate # 1546424366.683 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546424366.683 * * [misc]simplify: iters left: 5 (9 enodes) 1546424366.685 * * [misc]simplify: iters left: 4 (11 enodes) 1546424366.686 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546424366.686 * [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))))))) 1546424366.686 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424366.686 * * [misc]simplify: iters left: 6 (10 enodes) 1546424366.689 * * [misc]simplify: iters left: 5 (13 enodes) 1546424366.692 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424366.693 * [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)))))) 1546424366.693 * * * * [misc]progress: [ 57 / 266 ] simplifiying candidate # 1546424366.693 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546424366.693 * * [misc]simplify: iters left: 6 (10 enodes) 1546424366.696 * * [misc]simplify: iters left: 5 (12 enodes) 1546424366.699 * * [misc]simplify: iters left: 4 (15 enodes) 1546424366.704 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546424366.704 * [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))))))) 1546424366.704 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424366.704 * * [misc]simplify: iters left: 6 (9 enodes) 1546424366.707 * * [misc]simplify: iters left: 5 (11 enodes) 1546424366.710 * * [misc]simplify: iters left: 4 (14 enodes) 1546424366.714 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424366.714 * [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))))))) 1546424366.714 * * * * [misc]progress: [ 58 / 266 ] simplifiying candidate # 1546424366.715 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424366.715 * * [misc]simplify: iters left: 6 (13 enodes) 1546424366.719 * * [misc]simplify: iters left: 5 (18 enodes) 1546424366.724 * * [misc]simplify: iters left: 4 (21 enodes) 1546424366.730 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424366.730 * [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)))))))) 1546424366.730 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.730 * * [misc]simplify: iters left: 6 (12 enodes) 1546424366.735 * * [misc]simplify: iters left: 5 (15 enodes) 1546424366.740 * * [misc]simplify: iters left: 4 (18 enodes) 1546424366.745 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.745 * [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)))))))) 1546424366.745 * * * * [misc]progress: [ 59 / 266 ] simplifiying candidate # 1546424366.745 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.745 * * [misc]simplify: iters left: 6 (12 enodes) 1546424366.749 * * [misc]simplify: iters left: 5 (15 enodes) 1546424366.753 * * [misc]simplify: iters left: 4 (18 enodes) 1546424366.758 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.758 * [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)))))))) 1546424366.758 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.759 * * [misc]simplify: iters left: 6 (12 enodes) 1546424366.762 * * [misc]simplify: iters left: 5 (15 enodes) 1546424366.767 * * [misc]simplify: iters left: 4 (18 enodes) 1546424366.772 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.772 * [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)))))))) 1546424366.773 * * * * [misc]progress: [ 60 / 266 ] simplifiying candidate # 1546424366.773 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546424366.773 * * [misc]simplify: iters left: 4 (5 enodes) 1546424366.775 * * [misc]simplify: iters left: 3 (7 enodes) 1546424366.777 * * [misc]simplify: iters left: 2 (9 enodes) 1546424366.779 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546424366.779 * [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))))))) 1546424366.779 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.779 * * [misc]simplify: iters left: 6 (11 enodes) 1546424366.782 * * [misc]simplify: iters left: 5 (14 enodes) 1546424366.786 * * [misc]simplify: iters left: 4 (17 enodes) 1546424366.791 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.791 * [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))))))) 1546424366.791 * * * * [misc]progress: [ 61 / 266 ] simplifiying candidate # 1546424366.791 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546424366.791 * * [misc]simplify: iters left: 5 (7 enodes) 1546424366.793 * * [misc]simplify: iters left: 4 (11 enodes) 1546424366.796 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546424366.796 * [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))))))) 1546424366.796 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546424366.797 * * [misc]simplify: iters left: 6 (9 enodes) 1546424366.799 * * [misc]simplify: iters left: 5 (12 enodes) 1546424366.803 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546424366.803 * [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)))))) 1546424366.803 * * * * [misc]progress: [ 62 / 266 ] simplifiying candidate # 1546424366.803 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546424366.803 * * [misc]simplify: iters left: 5 (7 enodes) 1546424366.805 * * [misc]simplify: iters left: 4 (11 enodes) 1546424366.808 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546424366.808 * [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))))))) 1546424366.808 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546424366.808 * * [misc]simplify: iters left: 6 (9 enodes) 1546424366.811 * * [misc]simplify: iters left: 5 (12 enodes) 1546424366.814 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546424366.814 * [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)))))) 1546424366.814 * * * * [misc]progress: [ 63 / 266 ] simplifiying candidate # 1546424366.815 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1546424366.815 * * [misc]simplify: iters left: 6 (9 enodes) 1546424366.818 * * [misc]simplify: iters left: 5 (13 enodes) 1546424366.821 * * [misc]simplify: iters left: 4 (16 enodes) 1546424366.825 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1546424366.825 * [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))))))) 1546424366.826 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546424366.826 * * [misc]simplify: iters left: 6 (8 enodes) 1546424366.828 * * [misc]simplify: iters left: 5 (10 enodes) 1546424366.831 * * [misc]simplify: iters left: 4 (13 enodes) 1546424366.833 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546424366.833 * [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))))))) 1546424366.833 * * * * [misc]progress: [ 64 / 266 ] simplifiying candidate # 1546424366.833 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424366.833 * * [misc]simplify: iters left: 6 (12 enodes) 1546424366.835 * * [misc]simplify: iters left: 5 (19 enodes) 1546424366.838 * * [misc]simplify: iters left: 4 (22 enodes) 1546424366.841 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424366.841 * [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)))))))) 1546424366.841 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.841 * * [misc]simplify: iters left: 6 (11 enodes) 1546424366.843 * * [misc]simplify: iters left: 5 (14 enodes) 1546424366.844 * * [misc]simplify: iters left: 4 (17 enodes) 1546424366.847 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.847 * [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)))))))) 1546424366.847 * * * * [misc]progress: [ 65 / 266 ] simplifiying candidate # 1546424366.847 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.847 * * [misc]simplify: iters left: 6 (11 enodes) 1546424366.849 * * [misc]simplify: iters left: 5 (16 enodes) 1546424366.851 * * [misc]simplify: iters left: 4 (19 enodes) 1546424366.853 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424366.853 * [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)))))))) 1546424366.853 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.853 * * [misc]simplify: iters left: 6 (11 enodes) 1546424366.855 * * [misc]simplify: iters left: 5 (14 enodes) 1546424366.858 * * [misc]simplify: iters left: 4 (17 enodes) 1546424366.861 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424366.861 * [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)))))))) 1546424366.861 * * * * [misc]progress: [ 66 / 266 ] simplifiying candidate # 1546424366.861 * [enter]simplify: Simplifying (/ 1 1) 1546424366.861 * * [misc]simplify: iters left: 2 (2 enodes) 1546424366.862 * * [misc]simplify: iters left: 1 (4 enodes) 1546424366.862 * [exit]simplify: Simplified to 1 1546424366.863 * [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))))))) 1546424366.863 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.863 * * [misc]simplify: iters left: 6 (10 enodes) 1546424366.866 * * [misc]simplify: iters left: 5 (13 enodes) 1546424366.870 * * [misc]simplify: iters left: 4 (16 enodes) 1546424366.874 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.874 * [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))))))) 1546424366.874 * * * * [misc]progress: [ 67 / 266 ] simplifiying candidate # 1546424366.875 * * * * [misc]progress: [ 68 / 266 ] simplifiying candidate # 1546424366.875 * * * * [misc]progress: [ 69 / 266 ] simplifiying candidate # 1546424366.875 * * * * [misc]progress: [ 70 / 266 ] simplifiying candidate # 1546424366.875 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546424366.875 * * [misc]simplify: iters left: 5 (7 enodes) 1546424366.877 * * [misc]simplify: iters left: 4 (10 enodes) 1546424366.880 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546424366.880 * [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)))))) 1546424366.880 * * * * [misc]progress: [ 71 / 266 ] simplifiying candidate # 1546424366.880 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546424366.880 * * [misc]simplify: iters left: 5 (7 enodes) 1546424366.883 * * [misc]simplify: iters left: 4 (10 enodes) 1546424366.884 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546424366.884 * [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)))))) 1546424366.884 * * * * [misc]progress: [ 72 / 266 ] simplifiying candidate # 1546424366.884 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1546424366.884 * * [misc]simplify: iters left: 5 (6 enodes) 1546424366.885 * * [misc]simplify: iters left: 4 (8 enodes) 1546424366.886 * * [misc]simplify: iters left: 3 (11 enodes) 1546424366.888 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1546424366.888 * [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)))))) 1546424366.888 * * * * [misc]progress: [ 73 / 266 ] simplifiying candidate # 1546424366.888 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.888 * * [misc]simplify: iters left: 6 (9 enodes) 1546424366.889 * * [misc]simplify: iters left: 5 (12 enodes) 1546424366.891 * * [misc]simplify: iters left: 4 (15 enodes) 1546424366.893 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.893 * [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))))))) 1546424366.893 * * * * [misc]progress: [ 74 / 266 ] simplifiying candidate # 1546424366.893 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.893 * * [misc]simplify: iters left: 6 (9 enodes) 1546424366.895 * * [misc]simplify: iters left: 5 (12 enodes) 1546424366.896 * * [misc]simplify: iters left: 4 (15 enodes) 1546424366.898 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546424366.898 * [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))))))) 1546424366.898 * * * * [misc]progress: [ 75 / 266 ] simplifiying candidate # 1546424366.898 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546424366.899 * * [misc]simplify: iters left: 5 (8 enodes) 1546424366.900 * * [misc]simplify: iters left: 4 (11 enodes) 1546424366.901 * * [misc]simplify: iters left: 3 (14 enodes) 1546424366.903 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546424366.903 * [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)))))) 1546424366.903 * * * * [misc]progress: [ 76 / 266 ] simplifiying candidate # 1546424366.903 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546424366.903 * * [misc]simplify: iters left: 4 (4 enodes) 1546424366.904 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546424366.904 * [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)))))) 1546424366.904 * * * * [misc]progress: [ 77 / 266 ] simplifiying candidate # 1546424366.904 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546424366.904 * * [misc]simplify: iters left: 2 (3 enodes) 1546424366.904 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546424366.905 * [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)))))) 1546424366.905 * * * * [misc]progress: [ 78 / 266 ] simplifiying candidate # 1546424366.905 * * * * [misc]progress: [ 79 / 266 ] simplifiying candidate # 1546424366.905 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546424366.905 * * [misc]simplify: iters left: 3 (6 enodes) 1546424366.906 * * [misc]simplify: iters left: 2 (7 enodes) 1546424366.907 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546424366.907 * [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))))) 1546424366.907 * * * * [misc]progress: [ 80 / 266 ] simplifiying candidate # 1546424366.907 * * * * [misc]progress: [ 81 / 266 ] simplifiying candidate # 1546424366.907 * * * * [misc]progress: [ 82 / 266 ] simplifiying candidate # 1546424366.907 * * * * [misc]progress: [ 83 / 266 ] simplifiying candidate # 1546424366.907 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546424366.907 * * [misc]simplify: iters left: 6 (18 enodes) 1546424366.910 * * [misc]simplify: iters left: 5 (36 enodes) 1546424366.922 * * [misc]simplify: iters left: 4 (94 enodes) 1546424366.977 * * [misc]simplify: iters left: 3 (325 enodes) 1546424367.160 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1546424367.160 * [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)))))) 1546424367.160 * * * * [misc]progress: [ 84 / 266 ] simplifiying candidate # 1546424367.160 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546424367.160 * * [misc]simplify: iters left: 6 (18 enodes) 1546424367.167 * * [misc]simplify: iters left: 5 (36 enodes) 1546424367.181 * * [misc]simplify: iters left: 4 (94 enodes) 1546424367.239 * * [misc]simplify: iters left: 3 (325 enodes) 1546424367.443 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1546424367.443 * [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)))))) 1546424367.443 * * * * [misc]progress: [ 85 / 266 ] simplifiying candidate # 1546424367.443 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424367.443 * * [misc]simplify: iters left: 6 (18 enodes) 1546424367.446 * * [misc]simplify: iters left: 5 (34 enodes) 1546424367.452 * * [misc]simplify: iters left: 4 (82 enodes) 1546424367.472 * * [misc]simplify: iters left: 3 (239 enodes) 1546424367.606 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1546424367.606 * [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)))))) 1546424367.606 * * * * [misc]progress: [ 86 / 266 ] simplifiying candidate # 1546424367.606 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424367.606 * * [misc]simplify: iters left: 6 (17 enodes) 1546424367.609 * * [misc]simplify: iters left: 5 (30 enodes) 1546424367.614 * * [misc]simplify: iters left: 4 (67 enodes) 1546424367.629 * * [misc]simplify: iters left: 3 (188 enodes) 1546424367.706 * * [misc]simplify: iters left: 2 (366 enodes) 1546424367.970 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))) 1546424367.970 * [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)))))) 1546424367.970 * * * * [misc]progress: [ 87 / 266 ] simplifiying candidate # 1546424367.971 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546424367.971 * * [misc]simplify: iters left: 6 (18 enodes) 1546424367.977 * * [misc]simplify: iters left: 5 (33 enodes) 1546424367.988 * * [misc]simplify: iters left: 4 (70 enodes) 1546424368.008 * * [misc]simplify: iters left: 3 (220 enodes) 1546424368.178 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1546424368.178 * [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)))))) 1546424368.178 * * * * [misc]progress: [ 88 / 266 ] simplifiying candidate # 1546424368.178 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546424368.179 * * [misc]simplify: iters left: 6 (18 enodes) 1546424368.182 * * [misc]simplify: iters left: 5 (33 enodes) 1546424368.187 * * [misc]simplify: iters left: 4 (70 enodes) 1546424368.203 * * [misc]simplify: iters left: 3 (220 enodes) 1546424368.389 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1546424368.389 * [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)))))) 1546424368.389 * * * * [misc]progress: [ 89 / 266 ] simplifiying candidate # 1546424368.389 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424368.389 * * [misc]simplify: iters left: 6 (18 enodes) 1546424368.392 * * [misc]simplify: iters left: 5 (31 enodes) 1546424368.397 * * [misc]simplify: iters left: 4 (58 enodes) 1546424368.408 * * [misc]simplify: iters left: 3 (137 enodes) 1546424368.486 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1546424368.486 * [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)))))) 1546424368.486 * * * * [misc]progress: [ 90 / 266 ] simplifiying candidate # 1546424368.486 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424368.487 * * [misc]simplify: iters left: 6 (17 enodes) 1546424368.492 * * [misc]simplify: iters left: 5 (27 enodes) 1546424368.500 * * [misc]simplify: iters left: 4 (43 enodes) 1546424368.515 * * [misc]simplify: iters left: 3 (87 enodes) 1546424368.557 * * [misc]simplify: iters left: 2 (236 enodes) 1546424368.685 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1546424368.685 * [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)))))) 1546424368.685 * * * * [misc]progress: [ 91 / 266 ] simplifiying candidate # 1546424368.686 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546424368.686 * * [misc]simplify: iters left: 6 (19 enodes) 1546424368.693 * * [misc]simplify: iters left: 5 (38 enodes) 1546424368.705 * * [misc]simplify: iters left: 4 (77 enodes) 1546424368.737 * * [misc]simplify: iters left: 3 (214 enodes) 1546424368.917 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1546424368.917 * [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)))))) 1546424368.917 * * * * [misc]progress: [ 92 / 266 ] simplifiying candidate # 1546424368.918 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546424368.918 * * [misc]simplify: iters left: 6 (19 enodes) 1546424368.925 * * [misc]simplify: iters left: 5 (38 enodes) 1546424368.936 * * [misc]simplify: iters left: 4 (77 enodes) 1546424368.968 * * [misc]simplify: iters left: 3 (214 enodes) 1546424369.092 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1546424369.092 * [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)))))) 1546424369.092 * * * * [misc]progress: [ 93 / 266 ] simplifiying candidate # 1546424369.093 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424369.093 * * [misc]simplify: iters left: 6 (19 enodes) 1546424369.099 * * [misc]simplify: iters left: 5 (36 enodes) 1546424369.111 * * [misc]simplify: iters left: 4 (65 enodes) 1546424369.122 * * [misc]simplify: iters left: 3 (131 enodes) 1546424369.184 * * [misc]simplify: iters left: 2 (494 enodes) 1546424369.753 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1546424369.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1546424369.753 * * * * [misc]progress: [ 94 / 266 ] simplifiying candidate # 1546424369.753 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424369.754 * * [misc]simplify: iters left: 6 (18 enodes) 1546424369.760 * * [misc]simplify: iters left: 5 (32 enodes) 1546424369.769 * * [misc]simplify: iters left: 4 (47 enodes) 1546424369.777 * * [misc]simplify: iters left: 3 (75 enodes) 1546424369.790 * * [misc]simplify: iters left: 2 (166 enodes) 1546424369.957 * [exit]simplify: Simplified to (- (* (log (* 2 n)) (- 1/2 (/ k 2))) (fma (log PI) (+ (/ k 2) -1/2) (log (sqrt k)))) 1546424369.957 * [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)))))) 1546424369.957 * * * * [misc]progress: [ 95 / 266 ] simplifiying candidate # 1546424369.958 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546424369.958 * * [misc]simplify: iters left: 6 (19 enodes) 1546424369.966 * * [misc]simplify: iters left: 5 (40 enodes) 1546424369.981 * * [misc]simplify: iters left: 4 (82 enodes) 1546424369.999 * * [misc]simplify: iters left: 3 (222 enodes) 1546424370.194 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1546424370.194 * [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)))))) 1546424370.194 * * * * [misc]progress: [ 96 / 266 ] simplifiying candidate # 1546424370.194 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546424370.195 * * [misc]simplify: iters left: 6 (19 enodes) 1546424370.202 * * [misc]simplify: iters left: 5 (40 enodes) 1546424370.219 * * [misc]simplify: iters left: 4 (82 enodes) 1546424370.246 * * [misc]simplify: iters left: 3 (222 enodes) 1546424370.429 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1546424370.429 * [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)))))) 1546424370.429 * * * * [misc]progress: [ 97 / 266 ] simplifiying candidate # 1546424370.430 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424370.430 * * [misc]simplify: iters left: 6 (19 enodes) 1546424370.437 * * [misc]simplify: iters left: 5 (38 enodes) 1546424370.449 * * [misc]simplify: iters left: 4 (70 enodes) 1546424370.475 * * [misc]simplify: iters left: 3 (139 enodes) 1546424370.570 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1546424370.570 * [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)))))) 1546424370.570 * * * * [misc]progress: [ 98 / 266 ] simplifiying candidate # 1546424370.570 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424370.570 * * [misc]simplify: iters left: 6 (18 enodes) 1546424370.574 * * [misc]simplify: iters left: 5 (34 enodes) 1546424370.579 * * [misc]simplify: iters left: 4 (56 enodes) 1546424370.587 * * [misc]simplify: iters left: 3 (85 enodes) 1546424370.615 * * [misc]simplify: iters left: 2 (195 enodes) 1546424370.747 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* 2 n))) (fma (+ (/ k 2) -1/2) (log PI) (log (sqrt k)))) 1546424370.747 * [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)))))) 1546424370.747 * * * * [misc]progress: [ 99 / 266 ] simplifiying candidate # 1546424370.747 * * * * [misc]progress: [ 100 / 266 ] simplifiying candidate # 1546424370.747 * * * * [misc]progress: [ 101 / 266 ] simplifiying candidate # 1546424370.748 * [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)))))) 1546424370.748 * * [misc]simplify: iters left: 6 (22 enodes) 1546424370.757 * * [misc]simplify: iters left: 5 (49 enodes) 1546424370.777 * * [misc]simplify: iters left: 4 (146 enodes) 1546424370.894 * [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)))))) 1546424370.895 * [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)))))))) 1546424370.895 * * * * [misc]progress: [ 102 / 266 ] simplifiying candidate # 1546424370.895 * [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)))))) 1546424370.895 * * [misc]simplify: iters left: 6 (20 enodes) 1546424370.904 * * [misc]simplify: iters left: 5 (48 enodes) 1546424370.923 * * [misc]simplify: iters left: 4 (131 enodes) 1546424370.992 * [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)))))) 1546424370.992 * [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)))))))) 1546424370.992 * * * * [misc]progress: [ 103 / 266 ] simplifiying candidate # 1546424370.992 * * * * [misc]progress: [ 104 / 266 ] simplifiying candidate # 1546424370.992 * * * * [misc]progress: [ 105 / 266 ] simplifiying candidate # 1546424370.992 * * * * [misc]progress: [ 106 / 266 ] simplifiying candidate # 1546424370.992 * * * * [misc]progress: [ 107 / 266 ] simplifiying candidate # 1546424370.993 * [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))))))) 1546424370.993 * * [misc]simplify: iters left: 6 (20 enodes) 1546424370.997 * * [misc]simplify: iters left: 5 (33 enodes) 1546424371.007 * * [misc]simplify: iters left: 4 (46 enodes) 1546424371.021 * * [misc]simplify: iters left: 3 (53 enodes) 1546424371.034 * * [misc]simplify: iters left: 2 (56 enodes) 1546424371.048 * [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))))))) 1546424371.048 * [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)))))))) 1546424371.049 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424371.049 * * [misc]simplify: iters left: 6 (18 enodes) 1546424371.055 * * [misc]simplify: iters left: 5 (25 enodes) 1546424371.061 * * [misc]simplify: iters left: 4 (29 enodes) 1546424371.065 * * [misc]simplify: iters left: 3 (33 enodes) 1546424371.069 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546424371.069 * [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)))))))) 1546424371.069 * * * * [misc]progress: [ 108 / 266 ] simplifiying candidate # 1546424371.069 * [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)))))) 1546424371.069 * * [misc]simplify: iters left: 6 (19 enodes) 1546424371.073 * * [misc]simplify: iters left: 5 (28 enodes) 1546424371.076 * * [misc]simplify: iters left: 4 (34 enodes) 1546424371.082 * * [misc]simplify: iters left: 3 (39 enodes) 1546424371.087 * [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)))))) 1546424371.087 * [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)))))))) 1546424371.087 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424371.087 * * [misc]simplify: iters left: 6 (18 enodes) 1546424371.090 * * [misc]simplify: iters left: 5 (25 enodes) 1546424371.096 * * [misc]simplify: iters left: 4 (29 enodes) 1546424371.104 * * [misc]simplify: iters left: 3 (33 enodes) 1546424371.114 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546424371.114 * [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)))))))) 1546424371.114 * * * * [misc]progress: [ 109 / 266 ] simplifiying candidate # 1546424371.115 * [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))) 1546424371.115 * * [misc]simplify: iters left: 6 (20 enodes) 1546424371.122 * * [misc]simplify: iters left: 5 (34 enodes) 1546424371.132 * * [misc]simplify: iters left: 4 (53 enodes) 1546424371.150 * * [misc]simplify: iters left: 3 (98 enodes) 1546424371.185 * * [misc]simplify: iters left: 2 (155 enodes) 1546424371.241 * * [misc]simplify: iters left: 1 (186 enodes) 1546424371.277 * [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)))))) 1546424371.277 * [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))))))) 1546424371.278 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424371.278 * * [misc]simplify: iters left: 6 (19 enodes) 1546424371.282 * * [misc]simplify: iters left: 5 (29 enodes) 1546424371.290 * * [misc]simplify: iters left: 4 (34 enodes) 1546424371.300 * * [misc]simplify: iters left: 3 (40 enodes) 1546424371.310 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424371.310 * [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)))))) 1546424371.310 * * * * [misc]progress: [ 110 / 266 ] simplifiying candidate # 1546424371.310 * [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))) 1546424371.311 * * [misc]simplify: iters left: 6 (20 enodes) 1546424371.318 * * [misc]simplify: iters left: 5 (34 enodes) 1546424371.327 * * [misc]simplify: iters left: 4 (53 enodes) 1546424371.342 * * [misc]simplify: iters left: 3 (98 enodes) 1546424371.377 * * [misc]simplify: iters left: 2 (155 enodes) 1546424371.431 * * [misc]simplify: iters left: 1 (186 enodes) 1546424371.480 * [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)))))) 1546424371.480 * [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))))))) 1546424371.480 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424371.480 * * [misc]simplify: iters left: 6 (19 enodes) 1546424371.484 * * [misc]simplify: iters left: 5 (29 enodes) 1546424371.487 * * [misc]simplify: iters left: 4 (34 enodes) 1546424371.493 * * [misc]simplify: iters left: 3 (40 enodes) 1546424371.503 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424371.503 * [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)))))) 1546424371.503 * * * * [misc]progress: [ 111 / 266 ] simplifiying candidate # 1546424371.503 * [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))))) 1546424371.503 * * [misc]simplify: iters left: 6 (19 enodes) 1546424371.510 * * [misc]simplify: iters left: 5 (31 enodes) 1546424371.519 * * [misc]simplify: iters left: 4 (50 enodes) 1546424371.536 * * [misc]simplify: iters left: 3 (95 enodes) 1546424371.569 * * [misc]simplify: iters left: 2 (150 enodes) 1546424371.626 * * [misc]simplify: iters left: 1 (181 enodes) 1546424371.689 * [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)))))) 1546424371.689 * [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))))))) 1546424371.689 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424371.689 * * [misc]simplify: iters left: 6 (16 enodes) 1546424371.695 * * [misc]simplify: iters left: 5 (24 enodes) 1546424371.702 * * [misc]simplify: iters left: 4 (31 enodes) 1546424371.711 * * [misc]simplify: iters left: 3 (37 enodes) 1546424371.720 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424371.721 * [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))))))) 1546424371.721 * * * * [misc]progress: [ 112 / 266 ] simplifiying candidate # 1546424371.721 * [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))))))) 1546424371.721 * * [misc]simplify: iters left: 6 (22 enodes) 1546424371.730 * * [misc]simplify: iters left: 5 (39 enodes) 1546424371.744 * * [misc]simplify: iters left: 4 (74 enodes) 1546424371.770 * * [misc]simplify: iters left: 3 (149 enodes) 1546424371.836 * * [misc]simplify: iters left: 2 (277 enodes) 1546424371.998 * * [misc]simplify: iters left: 1 (387 enodes) 1546424372.194 * [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))))) 1546424372.194 * [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)))))))) 1546424372.194 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424372.194 * * [misc]simplify: iters left: 6 (19 enodes) 1546424372.198 * * [misc]simplify: iters left: 5 (28 enodes) 1546424372.204 * * [misc]simplify: iters left: 4 (35 enodes) 1546424372.214 * * [misc]simplify: iters left: 3 (41 enodes) 1546424372.224 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546424372.224 * [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))))) 1546424372.224 * * * * [misc]progress: [ 113 / 266 ] simplifiying candidate # 1546424372.224 * [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)))))) 1546424372.224 * * [misc]simplify: iters left: 6 (21 enodes) 1546424372.228 * * [misc]simplify: iters left: 5 (34 enodes) 1546424372.233 * * [misc]simplify: iters left: 4 (53 enodes) 1546424372.242 * * [misc]simplify: iters left: 3 (98 enodes) 1546424372.259 * * [misc]simplify: iters left: 2 (151 enodes) 1546424372.313 * * [misc]simplify: iters left: 1 (184 enodes) 1546424372.381 * [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)))))) 1546424372.382 * [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)))))))) 1546424372.382 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424372.382 * * [misc]simplify: iters left: 6 (19 enodes) 1546424372.389 * * [misc]simplify: iters left: 5 (28 enodes) 1546424372.396 * * [misc]simplify: iters left: 4 (35 enodes) 1546424372.408 * * [misc]simplify: iters left: 3 (41 enodes) 1546424372.417 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546424372.417 * [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))))) 1546424372.417 * * * * [misc]progress: [ 114 / 266 ] simplifiying candidate # 1546424372.417 * [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)) 1546424372.417 * * [misc]simplify: iters left: 6 (17 enodes) 1546424372.420 * * [misc]simplify: iters left: 5 (29 enodes) 1546424372.425 * * [misc]simplify: iters left: 4 (51 enodes) 1546424372.433 * * [misc]simplify: iters left: 3 (95 enodes) 1546424372.459 * * [misc]simplify: iters left: 2 (277 enodes) 1546424372.629 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546424372.629 * [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))))))) 1546424372.630 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424372.630 * * [misc]simplify: iters left: 6 (18 enodes) 1546424372.636 * * [misc]simplify: iters left: 5 (27 enodes) 1546424372.644 * * [misc]simplify: iters left: 4 (34 enodes) 1546424372.654 * * [misc]simplify: iters left: 3 (40 enodes) 1546424372.664 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424372.664 * [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))))))) 1546424372.664 * * * * [misc]progress: [ 115 / 266 ] simplifiying candidate # 1546424372.665 * [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))) 1546424372.665 * * [misc]simplify: iters left: 6 (19 enodes) 1546424372.672 * * [misc]simplify: iters left: 5 (31 enodes) 1546424372.680 * * [misc]simplify: iters left: 4 (42 enodes) 1546424372.688 * * [misc]simplify: iters left: 3 (58 enodes) 1546424372.695 * * [misc]simplify: iters left: 2 (70 enodes) 1546424372.704 * * [misc]simplify: iters left: 1 (76 enodes) 1546424372.714 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546424372.714 * [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))))))) 1546424372.714 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424372.714 * * [misc]simplify: iters left: 6 (19 enodes) 1546424372.719 * * [misc]simplify: iters left: 5 (29 enodes) 1546424372.723 * * [misc]simplify: iters left: 4 (34 enodes) 1546424372.732 * * [misc]simplify: iters left: 3 (40 enodes) 1546424372.742 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424372.742 * [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)))))) 1546424372.742 * * * * [misc]progress: [ 116 / 266 ] simplifiying candidate # 1546424372.742 * [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))) 1546424372.742 * * [misc]simplify: iters left: 6 (19 enodes) 1546424372.749 * * [misc]simplify: iters left: 5 (31 enodes) 1546424372.758 * * [misc]simplify: iters left: 4 (42 enodes) 1546424372.770 * * [misc]simplify: iters left: 3 (58 enodes) 1546424372.785 * * [misc]simplify: iters left: 2 (70 enodes) 1546424372.802 * * [misc]simplify: iters left: 1 (76 enodes) 1546424372.822 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546424372.822 * [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))))))) 1546424372.823 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424372.823 * * [misc]simplify: iters left: 6 (19 enodes) 1546424372.829 * * [misc]simplify: iters left: 5 (29 enodes) 1546424372.837 * * [misc]simplify: iters left: 4 (34 enodes) 1546424372.847 * * [misc]simplify: iters left: 3 (40 enodes) 1546424372.857 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424372.857 * [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)))))) 1546424372.857 * * * * [misc]progress: [ 117 / 266 ] simplifiying candidate # 1546424372.857 * [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))))) 1546424372.857 * * [misc]simplify: iters left: 6 (18 enodes) 1546424372.863 * * [misc]simplify: iters left: 5 (28 enodes) 1546424372.873 * * [misc]simplify: iters left: 4 (39 enodes) 1546424372.884 * * [misc]simplify: iters left: 3 (55 enodes) 1546424372.898 * * [misc]simplify: iters left: 2 (67 enodes) 1546424372.915 * * [misc]simplify: iters left: 1 (73 enodes) 1546424372.935 * [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))))) 1546424372.935 * [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))))))) 1546424372.935 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424372.936 * * [misc]simplify: iters left: 6 (16 enodes) 1546424372.941 * * [misc]simplify: iters left: 5 (24 enodes) 1546424372.948 * * [misc]simplify: iters left: 4 (31 enodes) 1546424372.957 * * [misc]simplify: iters left: 3 (37 enodes) 1546424372.966 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424372.966 * [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))))))) 1546424372.966 * * * * [misc]progress: [ 118 / 266 ] simplifiying candidate # 1546424372.967 * [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))))))) 1546424372.967 * * [misc]simplify: iters left: 6 (21 enodes) 1546424372.974 * * [misc]simplify: iters left: 5 (34 enodes) 1546424372.984 * * [misc]simplify: iters left: 4 (49 enodes) 1546424373.000 * * [misc]simplify: iters left: 3 (79 enodes) 1546424373.020 * * [misc]simplify: iters left: 2 (118 enodes) 1546424373.039 * * [misc]simplify: iters left: 1 (151 enodes) 1546424373.079 * [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))) 1546424373.079 * [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)))))))) 1546424373.080 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424373.080 * * [misc]simplify: iters left: 6 (19 enodes) 1546424373.087 * * [misc]simplify: iters left: 5 (28 enodes) 1546424373.095 * * [misc]simplify: iters left: 4 (35 enodes) 1546424373.105 * * [misc]simplify: iters left: 3 (41 enodes) 1546424373.115 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546424373.115 * [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))))) 1546424373.115 * * * * [misc]progress: [ 119 / 266 ] simplifiying candidate # 1546424373.116 * [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)))))) 1546424373.116 * * [misc]simplify: iters left: 6 (20 enodes) 1546424373.124 * * [misc]simplify: iters left: 5 (31 enodes) 1546424373.133 * * [misc]simplify: iters left: 4 (42 enodes) 1546424373.146 * * [misc]simplify: iters left: 3 (58 enodes) 1546424373.161 * * [misc]simplify: iters left: 2 (70 enodes) 1546424373.179 * * [misc]simplify: iters left: 1 (76 enodes) 1546424373.199 * [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)))) 1546424373.199 * [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)))))))) 1546424373.200 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424373.200 * * [misc]simplify: iters left: 6 (19 enodes) 1546424373.207 * * [misc]simplify: iters left: 5 (28 enodes) 1546424373.214 * * [misc]simplify: iters left: 4 (35 enodes) 1546424373.225 * * [misc]simplify: iters left: 3 (41 enodes) 1546424373.235 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546424373.235 * [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))))) 1546424373.235 * * * * [misc]progress: [ 120 / 266 ] simplifiying candidate # 1546424373.236 * [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)) 1546424373.236 * * [misc]simplify: iters left: 6 (16 enodes) 1546424373.242 * * [misc]simplify: iters left: 5 (26 enodes) 1546424373.250 * * [misc]simplify: iters left: 4 (38 enodes) 1546424373.260 * * [misc]simplify: iters left: 3 (50 enodes) 1546424373.272 * * [misc]simplify: iters left: 2 (51 enodes) 1546424373.283 * * [misc]simplify: iters left: 1 (57 enodes) 1546424373.296 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546424373.296 * [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))))))) 1546424373.297 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424373.297 * * [misc]simplify: iters left: 6 (18 enodes) 1546424373.303 * * [misc]simplify: iters left: 5 (27 enodes) 1546424373.310 * * [misc]simplify: iters left: 4 (34 enodes) 1546424373.321 * * [misc]simplify: iters left: 3 (40 enodes) 1546424373.330 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424373.330 * [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))))))) 1546424373.330 * * * * [misc]progress: [ 121 / 266 ] simplifiying candidate # 1546424373.331 * [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))) 1546424373.331 * * [misc]simplify: iters left: 6 (17 enodes) 1546424373.337 * * [misc]simplify: iters left: 5 (29 enodes) 1546424373.344 * * [misc]simplify: iters left: 4 (40 enodes) 1546424373.351 * * [misc]simplify: iters left: 3 (59 enodes) 1546424373.358 * * [misc]simplify: iters left: 2 (81 enodes) 1546424373.371 * * [misc]simplify: iters left: 1 (160 enodes) 1546424373.430 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546424373.430 * [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))))))) 1546424373.430 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424373.430 * * [misc]simplify: iters left: 6 (18 enodes) 1546424373.434 * * [misc]simplify: iters left: 5 (28 enodes) 1546424373.437 * * [misc]simplify: iters left: 4 (33 enodes) 1546424373.442 * * [misc]simplify: iters left: 3 (39 enodes) 1546424373.450 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546424373.450 * [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)))))) 1546424373.451 * * * * [misc]progress: [ 122 / 266 ] simplifiying candidate # 1546424373.451 * [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))) 1546424373.451 * * [misc]simplify: iters left: 6 (17 enodes) 1546424373.457 * * [misc]simplify: iters left: 5 (29 enodes) 1546424373.464 * * [misc]simplify: iters left: 4 (40 enodes) 1546424373.471 * * [misc]simplify: iters left: 3 (59 enodes) 1546424373.479 * * [misc]simplify: iters left: 2 (81 enodes) 1546424373.493 * * [misc]simplify: iters left: 1 (160 enodes) 1546424373.532 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546424373.532 * [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))))))) 1546424373.532 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424373.533 * * [misc]simplify: iters left: 6 (18 enodes) 1546424373.538 * * [misc]simplify: iters left: 5 (28 enodes) 1546424373.545 * * [misc]simplify: iters left: 4 (33 enodes) 1546424373.554 * * [misc]simplify: iters left: 3 (39 enodes) 1546424373.564 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546424373.564 * [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)))))) 1546424373.564 * * * * [misc]progress: [ 123 / 266 ] simplifiying candidate # 1546424373.564 * [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))))) 1546424373.564 * * [misc]simplify: iters left: 6 (16 enodes) 1546424373.570 * * [misc]simplify: iters left: 5 (26 enodes) 1546424373.578 * * [misc]simplify: iters left: 4 (37 enodes) 1546424373.589 * * [misc]simplify: iters left: 3 (56 enodes) 1546424373.604 * * [misc]simplify: iters left: 2 (78 enodes) 1546424373.623 * * [misc]simplify: iters left: 1 (140 enodes) 1546424373.664 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546424373.664 * [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))))))) 1546424373.664 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546424373.664 * * [misc]simplify: iters left: 6 (15 enodes) 1546424373.669 * * [misc]simplify: iters left: 5 (23 enodes) 1546424373.672 * * [misc]simplify: iters left: 4 (30 enodes) 1546424373.676 * * [misc]simplify: iters left: 3 (36 enodes) 1546424373.680 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546424373.680 * [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))))))) 1546424373.681 * * * * [misc]progress: [ 124 / 266 ] simplifiying candidate # 1546424373.681 * [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))))))) 1546424373.681 * * [misc]simplify: iters left: 6 (19 enodes) 1546424373.684 * * [misc]simplify: iters left: 5 (32 enodes) 1546424373.689 * * [misc]simplify: iters left: 4 (47 enodes) 1546424373.698 * * [misc]simplify: iters left: 3 (78 enodes) 1546424373.710 * * [misc]simplify: iters left: 2 (146 enodes) 1546424373.769 * * [misc]simplify: iters left: 1 (394 enodes) 1546424373.988 * [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)))))) 1546424373.988 * [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)))))))) 1546424373.989 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424373.989 * * [misc]simplify: iters left: 6 (18 enodes) 1546424373.992 * * [misc]simplify: iters left: 5 (27 enodes) 1546424373.996 * * [misc]simplify: iters left: 4 (34 enodes) 1546424374.001 * * [misc]simplify: iters left: 3 (40 enodes) 1546424374.005 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546424374.005 * [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)))))))) 1546424374.006 * * * * [misc]progress: [ 125 / 266 ] simplifiying candidate # 1546424374.006 * [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)))))) 1546424374.006 * * [misc]simplify: iters left: 6 (18 enodes) 1546424374.009 * * [misc]simplify: iters left: 5 (29 enodes) 1546424374.015 * * [misc]simplify: iters left: 4 (40 enodes) 1546424374.030 * * [misc]simplify: iters left: 3 (59 enodes) 1546424374.046 * * [misc]simplify: iters left: 2 (81 enodes) 1546424374.064 * * [misc]simplify: iters left: 1 (161 enodes) 1546424374.098 * [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)))))) 1546424374.098 * [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)))))))) 1546424374.098 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424374.098 * * [misc]simplify: iters left: 6 (18 enodes) 1546424374.101 * * [misc]simplify: iters left: 5 (27 enodes) 1546424374.104 * * [misc]simplify: iters left: 4 (34 enodes) 1546424374.111 * * [misc]simplify: iters left: 3 (40 enodes) 1546424374.123 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546424374.123 * [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)))))))) 1546424374.123 * * * * [misc]progress: [ 126 / 266 ] simplifiying candidate # 1546424374.123 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1546424374.123 * * [misc]simplify: iters left: 6 (14 enodes) 1546424374.128 * * [misc]simplify: iters left: 5 (21 enodes) 1546424374.135 * * [misc]simplify: iters left: 4 (29 enodes) 1546424374.143 * * [misc]simplify: iters left: 3 (39 enodes) 1546424374.153 * * [misc]simplify: iters left: 2 (51 enodes) 1546424374.165 * * [misc]simplify: iters left: 1 (79 enodes) 1546424374.180 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546424374.181 * [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))))))) 1546424374.181 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424374.181 * * [misc]simplify: iters left: 6 (17 enodes) 1546424374.184 * * [misc]simplify: iters left: 5 (26 enodes) 1546424374.188 * * [misc]simplify: iters left: 4 (33 enodes) 1546424374.192 * * [misc]simplify: iters left: 3 (39 enodes) 1546424374.197 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424374.197 * [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))))))) 1546424374.197 * * * * [misc]progress: [ 127 / 266 ] simplifiying candidate # 1546424374.197 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1546424374.197 * * [misc]simplify: iters left: 6 (13 enodes) 1546424374.200 * * [misc]simplify: iters left: 5 (21 enodes) 1546424374.203 * * [misc]simplify: iters left: 4 (31 enodes) 1546424374.211 * * [misc]simplify: iters left: 3 (46 enodes) 1546424374.223 * * [misc]simplify: iters left: 2 (72 enodes) 1546424374.243 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546424374.243 * [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))))))) 1546424374.243 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424374.243 * * [misc]simplify: iters left: 6 (17 enodes) 1546424374.246 * * [misc]simplify: iters left: 5 (26 enodes) 1546424374.250 * * [misc]simplify: iters left: 4 (33 enodes) 1546424374.255 * * [misc]simplify: iters left: 3 (39 enodes) 1546424374.259 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424374.259 * [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))))))) 1546424374.259 * * * * [misc]progress: [ 128 / 266 ] simplifiying candidate # 1546424374.260 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1546424374.260 * * [misc]simplify: iters left: 6 (14 enodes) 1546424374.262 * * [misc]simplify: iters left: 5 (22 enodes) 1546424374.265 * * [misc]simplify: iters left: 4 (28 enodes) 1546424374.269 * * [misc]simplify: iters left: 3 (33 enodes) 1546424374.275 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546424374.275 * [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))))))) 1546424374.275 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546424374.275 * * [misc]simplify: iters left: 6 (16 enodes) 1546424374.281 * * [misc]simplify: iters left: 5 (25 enodes) 1546424374.287 * * [misc]simplify: iters left: 4 (32 enodes) 1546424374.298 * * [misc]simplify: iters left: 3 (45 enodes) 1546424374.309 * * [misc]simplify: iters left: 2 (47 enodes) 1546424374.317 * * [misc]simplify: iters left: 1 (52 enodes) 1546424374.328 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546424374.329 * [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))))))) 1546424374.329 * * * * [misc]progress: [ 129 / 266 ] simplifiying candidate # 1546424374.329 * [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))) 1546424374.329 * * [misc]simplify: iters left: 6 (18 enodes) 1546424374.335 * * [misc]simplify: iters left: 5 (30 enodes) 1546424374.343 * * [misc]simplify: iters left: 4 (41 enodes) 1546424374.355 * * [misc]simplify: iters left: 3 (57 enodes) 1546424374.371 * * [misc]simplify: iters left: 2 (69 enodes) 1546424374.388 * * [misc]simplify: iters left: 1 (75 enodes) 1546424374.408 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1546424374.408 * [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))))) 1546424374.409 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1546424374.409 * * [misc]simplify: iters left: 6 (15 enodes) 1546424374.415 * * [misc]simplify: iters left: 5 (22 enodes) 1546424374.421 * * [misc]simplify: iters left: 4 (26 enodes) 1546424374.428 * * [misc]simplify: iters left: 3 (30 enodes) 1546424374.436 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1546424374.436 * [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))))) 1546424374.436 * * * * [misc]progress: [ 130 / 266 ] simplifiying candidate # 1546424374.436 * [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))))))) 1546424374.437 * * [misc]simplify: iters left: 6 (19 enodes) 1546424374.443 * * [misc]simplify: iters left: 5 (28 enodes) 1546424374.451 * * [misc]simplify: iters left: 4 (32 enodes) 1546424374.460 * * [misc]simplify: iters left: 3 (36 enodes) 1546424374.470 * [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)))))) 1546424374.470 * [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)))))))) 1546424374.470 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424374.470 * * [misc]simplify: iters left: 6 (18 enodes) 1546424374.477 * * [misc]simplify: iters left: 5 (25 enodes) 1546424374.483 * * [misc]simplify: iters left: 4 (29 enodes) 1546424374.492 * * [misc]simplify: iters left: 3 (33 enodes) 1546424374.500 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546424374.500 * [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)))))))) 1546424374.500 * * * * [misc]progress: [ 131 / 266 ] simplifiying candidate # 1546424374.500 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424374.500 * * [misc]simplify: iters left: 6 (18 enodes) 1546424374.503 * * [misc]simplify: iters left: 5 (25 enodes) 1546424374.507 * * [misc]simplify: iters left: 4 (29 enodes) 1546424374.512 * * [misc]simplify: iters left: 3 (33 enodes) 1546424374.516 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546424374.516 * [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)))))))) 1546424374.517 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424374.517 * * [misc]simplify: iters left: 6 (18 enodes) 1546424374.520 * * [misc]simplify: iters left: 5 (25 enodes) 1546424374.523 * * [misc]simplify: iters left: 4 (29 enodes) 1546424374.527 * * [misc]simplify: iters left: 3 (33 enodes) 1546424374.531 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546424374.531 * [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)))))))) 1546424374.531 * * * * [misc]progress: [ 132 / 266 ] simplifiying candidate # 1546424374.532 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546424374.532 * * [misc]simplify: iters left: 6 (19 enodes) 1546424374.535 * * [misc]simplify: iters left: 5 (31 enodes) 1546424374.539 * * [misc]simplify: iters left: 4 (42 enodes) 1546424374.547 * * [misc]simplify: iters left: 3 (58 enodes) 1546424374.554 * * [misc]simplify: iters left: 2 (63 enodes) 1546424374.563 * * [misc]simplify: iters left: 1 (70 enodes) 1546424374.574 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1546424374.574 * [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))))))) 1546424374.574 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424374.574 * * [misc]simplify: iters left: 6 (19 enodes) 1546424374.578 * * [misc]simplify: iters left: 5 (29 enodes) 1546424374.581 * * [misc]simplify: iters left: 4 (34 enodes) 1546424374.586 * * [misc]simplify: iters left: 3 (40 enodes) 1546424374.591 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424374.592 * [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)))))) 1546424374.592 * * * * [misc]progress: [ 133 / 266 ] simplifiying candidate # 1546424374.592 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546424374.592 * * [misc]simplify: iters left: 6 (19 enodes) 1546424374.599 * * [misc]simplify: iters left: 5 (31 enodes) 1546424374.607 * * [misc]simplify: iters left: 4 (42 enodes) 1546424374.620 * * [misc]simplify: iters left: 3 (58 enodes) 1546424374.635 * * [misc]simplify: iters left: 2 (63 enodes) 1546424374.647 * * [misc]simplify: iters left: 1 (70 enodes) 1546424374.655 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1546424374.655 * [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))))))) 1546424374.655 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424374.655 * * [misc]simplify: iters left: 6 (19 enodes) 1546424374.659 * * [misc]simplify: iters left: 5 (29 enodes) 1546424374.663 * * [misc]simplify: iters left: 4 (34 enodes) 1546424374.668 * * [misc]simplify: iters left: 3 (40 enodes) 1546424374.673 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424374.673 * [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)))))) 1546424374.673 * * * * [misc]progress: [ 134 / 266 ] simplifiying candidate # 1546424374.673 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546424374.673 * * [misc]simplify: iters left: 6 (18 enodes) 1546424374.676 * * [misc]simplify: iters left: 5 (28 enodes) 1546424374.680 * * [misc]simplify: iters left: 4 (39 enodes) 1546424374.686 * * [misc]simplify: iters left: 3 (55 enodes) 1546424374.693 * * [misc]simplify: iters left: 2 (60 enodes) 1546424374.702 * * [misc]simplify: iters left: 1 (67 enodes) 1546424374.710 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546424374.710 * [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))))))) 1546424374.710 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424374.710 * * [misc]simplify: iters left: 6 (16 enodes) 1546424374.713 * * [misc]simplify: iters left: 5 (24 enodes) 1546424374.716 * * [misc]simplify: iters left: 4 (31 enodes) 1546424374.721 * * [misc]simplify: iters left: 3 (37 enodes) 1546424374.725 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424374.726 * [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))))))) 1546424374.726 * * * * [misc]progress: [ 135 / 266 ] simplifiying candidate # 1546424374.726 * [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))))))) 1546424374.726 * * [misc]simplify: iters left: 6 (21 enodes) 1546424374.730 * * [misc]simplify: iters left: 5 (36 enodes) 1546424374.735 * * [misc]simplify: iters left: 4 (58 enodes) 1546424374.744 * * [misc]simplify: iters left: 3 (85 enodes) 1546424374.759 * * [misc]simplify: iters left: 2 (115 enodes) 1546424374.795 * * [misc]simplify: iters left: 1 (139 enodes) 1546424374.822 * [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)))))) 1546424374.822 * [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)))))))) 1546424374.822 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424374.822 * * [misc]simplify: iters left: 6 (19 enodes) 1546424374.826 * * [misc]simplify: iters left: 5 (28 enodes) 1546424374.830 * * [misc]simplify: iters left: 4 (35 enodes) 1546424374.835 * * [misc]simplify: iters left: 3 (41 enodes) 1546424374.840 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546424374.840 * [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))))) 1546424374.840 * * * * [misc]progress: [ 136 / 266 ] simplifiying candidate # 1546424374.840 * [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)))))) 1546424374.840 * * [misc]simplify: iters left: 6 (20 enodes) 1546424374.844 * * [misc]simplify: iters left: 5 (31 enodes) 1546424374.848 * * [misc]simplify: iters left: 4 (42 enodes) 1546424374.855 * * [misc]simplify: iters left: 3 (58 enodes) 1546424374.862 * * [misc]simplify: iters left: 2 (63 enodes) 1546424374.872 * * [misc]simplify: iters left: 1 (70 enodes) 1546424374.891 * [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)))))) 1546424374.891 * [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)))))))) 1546424374.891 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424374.891 * * [misc]simplify: iters left: 6 (19 enodes) 1546424374.898 * * [misc]simplify: iters left: 5 (28 enodes) 1546424374.906 * * [misc]simplify: iters left: 4 (35 enodes) 1546424374.916 * * [misc]simplify: iters left: 3 (41 enodes) 1546424374.932 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546424374.932 * [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))))) 1546424374.932 * * * * [misc]progress: [ 137 / 266 ] simplifiying candidate # 1546424374.932 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546424374.932 * * [misc]simplify: iters left: 6 (16 enodes) 1546424374.938 * * [misc]simplify: iters left: 5 (26 enodes) 1546424374.946 * * [misc]simplify: iters left: 4 (41 enodes) 1546424374.955 * * [misc]simplify: iters left: 3 (63 enodes) 1546424374.964 * * [misc]simplify: iters left: 2 (129 enodes) 1546424375.008 * * [misc]simplify: iters left: 1 (190 enodes) 1546424375.025 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424375.025 * [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))))))) 1546424375.025 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424375.025 * * [misc]simplify: iters left: 6 (18 enodes) 1546424375.028 * * [misc]simplify: iters left: 5 (27 enodes) 1546424375.032 * * [misc]simplify: iters left: 4 (34 enodes) 1546424375.038 * * [misc]simplify: iters left: 3 (40 enodes) 1546424375.047 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424375.048 * [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))))))) 1546424375.048 * * * * [misc]progress: [ 138 / 266 ] simplifiying candidate # 1546424375.048 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546424375.048 * * [misc]simplify: iters left: 6 (18 enodes) 1546424375.054 * * [misc]simplify: iters left: 5 (28 enodes) 1546424375.062 * * [misc]simplify: iters left: 4 (35 enodes) 1546424375.072 * * [misc]simplify: iters left: 3 (41 enodes) 1546424375.081 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1546424375.081 * [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))))))) 1546424375.082 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424375.082 * * [misc]simplify: iters left: 6 (19 enodes) 1546424375.089 * * [misc]simplify: iters left: 5 (29 enodes) 1546424375.096 * * [misc]simplify: iters left: 4 (34 enodes) 1546424375.106 * * [misc]simplify: iters left: 3 (40 enodes) 1546424375.118 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424375.118 * [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)))))) 1546424375.118 * * * * [misc]progress: [ 139 / 266 ] simplifiying candidate # 1546424375.118 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546424375.118 * * [misc]simplify: iters left: 6 (18 enodes) 1546424375.125 * * [misc]simplify: iters left: 5 (28 enodes) 1546424375.132 * * [misc]simplify: iters left: 4 (35 enodes) 1546424375.137 * * [misc]simplify: iters left: 3 (41 enodes) 1546424375.141 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1546424375.142 * [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))))))) 1546424375.142 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424375.142 * * [misc]simplify: iters left: 6 (19 enodes) 1546424375.145 * * [misc]simplify: iters left: 5 (29 enodes) 1546424375.149 * * [misc]simplify: iters left: 4 (34 enodes) 1546424375.154 * * [misc]simplify: iters left: 3 (40 enodes) 1546424375.158 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424375.158 * [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)))))) 1546424375.159 * * * * [misc]progress: [ 140 / 266 ] simplifiying candidate # 1546424375.159 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546424375.159 * * [misc]simplify: iters left: 6 (17 enodes) 1546424375.164 * * [misc]simplify: iters left: 5 (25 enodes) 1546424375.171 * * [misc]simplify: iters left: 4 (32 enodes) 1546424375.180 * * [misc]simplify: iters left: 3 (38 enodes) 1546424375.190 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546424375.190 * [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))))))) 1546424375.190 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424375.190 * * [misc]simplify: iters left: 6 (16 enodes) 1546424375.196 * * [misc]simplify: iters left: 5 (24 enodes) 1546424375.203 * * [misc]simplify: iters left: 4 (31 enodes) 1546424375.213 * * [misc]simplify: iters left: 3 (37 enodes) 1546424375.221 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424375.222 * [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))))))) 1546424375.222 * * * * [misc]progress: [ 141 / 266 ] simplifiying candidate # 1546424375.222 * [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))))))) 1546424375.222 * * [misc]simplify: iters left: 6 (20 enodes) 1546424375.229 * * [misc]simplify: iters left: 5 (31 enodes) 1546424375.238 * * [misc]simplify: iters left: 4 (40 enodes) 1546424375.252 * * [misc]simplify: iters left: 3 (53 enodes) 1546424375.264 * * [misc]simplify: iters left: 2 (61 enodes) 1546424375.271 * * [misc]simplify: iters left: 1 (63 enodes) 1546424375.280 * [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)))))) 1546424375.280 * [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)))))))) 1546424375.280 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424375.280 * * [misc]simplify: iters left: 6 (19 enodes) 1546424375.283 * * [misc]simplify: iters left: 5 (28 enodes) 1546424375.287 * * [misc]simplify: iters left: 4 (35 enodes) 1546424375.292 * * [misc]simplify: iters left: 3 (41 enodes) 1546424375.297 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546424375.297 * [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))))) 1546424375.298 * * * * [misc]progress: [ 142 / 266 ] simplifiying candidate # 1546424375.298 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424375.298 * * [misc]simplify: iters left: 6 (19 enodes) 1546424375.301 * * [misc]simplify: iters left: 5 (28 enodes) 1546424375.305 * * [misc]simplify: iters left: 4 (35 enodes) 1546424375.310 * * [misc]simplify: iters left: 3 (41 enodes) 1546424375.315 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546424375.315 * [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)))))))) 1546424375.316 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424375.316 * * [misc]simplify: iters left: 6 (19 enodes) 1546424375.319 * * [misc]simplify: iters left: 5 (28 enodes) 1546424375.323 * * [misc]simplify: iters left: 4 (35 enodes) 1546424375.328 * * [misc]simplify: iters left: 3 (41 enodes) 1546424375.335 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546424375.335 * [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))))) 1546424375.335 * * * * [misc]progress: [ 143 / 266 ] simplifiying candidate # 1546424375.335 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1546424375.335 * * [misc]simplify: iters left: 6 (15 enodes) 1546424375.338 * * [misc]simplify: iters left: 5 (23 enodes) 1546424375.342 * * [misc]simplify: iters left: 4 (34 enodes) 1546424375.346 * * [misc]simplify: iters left: 3 (39 enodes) 1546424375.350 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424375.350 * [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))))))) 1546424375.350 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424375.351 * * [misc]simplify: iters left: 6 (18 enodes) 1546424375.354 * * [misc]simplify: iters left: 5 (27 enodes) 1546424375.360 * * [misc]simplify: iters left: 4 (34 enodes) 1546424375.370 * * [misc]simplify: iters left: 3 (40 enodes) 1546424375.379 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424375.379 * [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))))))) 1546424375.379 * * * * [misc]progress: [ 144 / 266 ] simplifiying candidate # 1546424375.380 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1546424375.380 * * [misc]simplify: iters left: 6 (16 enodes) 1546424375.386 * * [misc]simplify: iters left: 5 (26 enodes) 1546424375.393 * * [misc]simplify: iters left: 4 (33 enodes) 1546424375.403 * * [misc]simplify: iters left: 3 (46 enodes) 1546424375.414 * * [misc]simplify: iters left: 2 (48 enodes) 1546424375.423 * * [misc]simplify: iters left: 1 (53 enodes) 1546424375.434 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546424375.435 * [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))))))) 1546424375.435 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424375.435 * * [misc]simplify: iters left: 6 (18 enodes) 1546424375.441 * * [misc]simplify: iters left: 5 (28 enodes) 1546424375.448 * * [misc]simplify: iters left: 4 (33 enodes) 1546424375.458 * * [misc]simplify: iters left: 3 (39 enodes) 1546424375.469 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546424375.469 * [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)))))) 1546424375.469 * * * * [misc]progress: [ 145 / 266 ] simplifiying candidate # 1546424375.469 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1546424375.469 * * [misc]simplify: iters left: 6 (16 enodes) 1546424375.475 * * [misc]simplify: iters left: 5 (26 enodes) 1546424375.482 * * [misc]simplify: iters left: 4 (33 enodes) 1546424375.492 * * [misc]simplify: iters left: 3 (46 enodes) 1546424375.503 * * [misc]simplify: iters left: 2 (48 enodes) 1546424375.512 * * [misc]simplify: iters left: 1 (53 enodes) 1546424375.518 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546424375.518 * [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))))))) 1546424375.518 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424375.518 * * [misc]simplify: iters left: 6 (18 enodes) 1546424375.521 * * [misc]simplify: iters left: 5 (28 enodes) 1546424375.525 * * [misc]simplify: iters left: 4 (33 enodes) 1546424375.530 * * [misc]simplify: iters left: 3 (39 enodes) 1546424375.534 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546424375.534 * [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)))))) 1546424375.535 * * * * [misc]progress: [ 146 / 266 ] simplifiying candidate # 1546424375.535 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1546424375.535 * * [misc]simplify: iters left: 6 (15 enodes) 1546424375.539 * * [misc]simplify: iters left: 5 (23 enodes) 1546424375.545 * * [misc]simplify: iters left: 4 (30 enodes) 1546424375.554 * * [misc]simplify: iters left: 3 (43 enodes) 1546424375.564 * * [misc]simplify: iters left: 2 (45 enodes) 1546424375.568 * * [misc]simplify: iters left: 1 (50 enodes) 1546424375.574 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546424375.574 * [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))))))) 1546424375.574 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546424375.574 * * [misc]simplify: iters left: 6 (15 enodes) 1546424375.577 * * [misc]simplify: iters left: 5 (23 enodes) 1546424375.582 * * [misc]simplify: iters left: 4 (30 enodes) 1546424375.586 * * [misc]simplify: iters left: 3 (36 enodes) 1546424375.590 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546424375.590 * [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))))))) 1546424375.590 * * * * [misc]progress: [ 147 / 266 ] simplifiying candidate # 1546424375.591 * [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))))))) 1546424375.591 * * [misc]simplify: iters left: 6 (18 enodes) 1546424375.594 * * [misc]simplify: iters left: 5 (29 enodes) 1546424375.598 * * [misc]simplify: iters left: 4 (38 enodes) 1546424375.604 * * [misc]simplify: iters left: 3 (55 enodes) 1546424375.611 * * [misc]simplify: iters left: 2 (64 enodes) 1546424375.618 * * [misc]simplify: iters left: 1 (74 enodes) 1546424375.635 * [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)))))) 1546424375.635 * [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)))))))) 1546424375.635 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424375.635 * * [misc]simplify: iters left: 6 (18 enodes) 1546424375.642 * * [misc]simplify: iters left: 5 (27 enodes) 1546424375.649 * * [misc]simplify: iters left: 4 (34 enodes) 1546424375.659 * * [misc]simplify: iters left: 3 (40 enodes) 1546424375.669 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546424375.669 * [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)))))))) 1546424375.669 * * * * [misc]progress: [ 148 / 266 ] simplifiying candidate # 1546424375.669 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424375.670 * * [misc]simplify: iters left: 6 (17 enodes) 1546424375.676 * * [misc]simplify: iters left: 5 (26 enodes) 1546424375.683 * * [misc]simplify: iters left: 4 (33 enodes) 1546424375.695 * * [misc]simplify: iters left: 3 (46 enodes) 1546424375.706 * * [misc]simplify: iters left: 2 (48 enodes) 1546424375.711 * * [misc]simplify: iters left: 1 (53 enodes) 1546424375.717 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546424375.717 * [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)))))))) 1546424375.717 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424375.717 * * [misc]simplify: iters left: 6 (18 enodes) 1546424375.720 * * [misc]simplify: iters left: 5 (27 enodes) 1546424375.724 * * [misc]simplify: iters left: 4 (34 enodes) 1546424375.729 * * [misc]simplify: iters left: 3 (40 enodes) 1546424375.733 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546424375.734 * [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)))))))) 1546424375.734 * * * * [misc]progress: [ 149 / 266 ] simplifiying candidate # 1546424375.734 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1546424375.734 * * [misc]simplify: iters left: 6 (13 enodes) 1546424375.736 * * [misc]simplify: iters left: 5 (18 enodes) 1546424375.742 * * [misc]simplify: iters left: 4 (26 enodes) 1546424375.746 * * [misc]simplify: iters left: 3 (30 enodes) 1546424375.749 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546424375.749 * [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))))))) 1546424375.750 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424375.750 * * [misc]simplify: iters left: 6 (17 enodes) 1546424375.753 * * [misc]simplify: iters left: 5 (26 enodes) 1546424375.756 * * [misc]simplify: iters left: 4 (33 enodes) 1546424375.761 * * [misc]simplify: iters left: 3 (39 enodes) 1546424375.765 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424375.766 * [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))))))) 1546424375.766 * * * * [misc]progress: [ 150 / 266 ] simplifiying candidate # 1546424375.766 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1546424375.766 * * [misc]simplify: iters left: 6 (12 enodes) 1546424375.768 * * [misc]simplify: iters left: 5 (18 enodes) 1546424375.771 * * [misc]simplify: iters left: 4 (24 enodes) 1546424375.776 * * [misc]simplify: iters left: 3 (25 enodes) 1546424375.782 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546424375.782 * [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))))))) 1546424375.782 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424375.782 * * [misc]simplify: iters left: 6 (17 enodes) 1546424375.790 * * [misc]simplify: iters left: 5 (26 enodes) 1546424375.797 * * [misc]simplify: iters left: 4 (33 enodes) 1546424375.806 * * [misc]simplify: iters left: 3 (39 enodes) 1546424375.816 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424375.816 * [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))))))) 1546424375.816 * * * * [misc]progress: [ 151 / 266 ] simplifiying candidate # 1546424375.816 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1546424375.816 * * [misc]simplify: iters left: 6 (13 enodes) 1546424375.821 * * [misc]simplify: iters left: 5 (19 enodes) 1546424375.826 * * [misc]simplify: iters left: 4 (23 enodes) 1546424375.833 * * [misc]simplify: iters left: 3 (27 enodes) 1546424375.840 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546424375.840 * [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))))))) 1546424375.840 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546424375.840 * * [misc]simplify: iters left: 6 (16 enodes) 1546424375.846 * * [misc]simplify: iters left: 5 (25 enodes) 1546424375.853 * * [misc]simplify: iters left: 4 (32 enodes) 1546424375.862 * * [misc]simplify: iters left: 3 (45 enodes) 1546424375.874 * * [misc]simplify: iters left: 2 (47 enodes) 1546424375.882 * * [misc]simplify: iters left: 1 (52 enodes) 1546424375.895 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546424375.895 * [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))))))) 1546424375.895 * * * * [misc]progress: [ 152 / 266 ] simplifiying candidate # 1546424375.895 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1546424375.895 * * [misc]simplify: iters left: 6 (17 enodes) 1546424375.901 * * [misc]simplify: iters left: 5 (27 enodes) 1546424375.909 * * [misc]simplify: iters left: 4 (34 enodes) 1546424375.919 * * [misc]simplify: iters left: 3 (40 enodes) 1546424375.929 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1546424375.929 * [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))))) 1546424375.930 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1546424375.930 * * [misc]simplify: iters left: 6 (15 enodes) 1546424375.935 * * [misc]simplify: iters left: 5 (22 enodes) 1546424375.941 * * [misc]simplify: iters left: 4 (26 enodes) 1546424375.948 * * [misc]simplify: iters left: 3 (30 enodes) 1546424375.951 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1546424375.951 * [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))))) 1546424375.951 * * * * [misc]progress: [ 153 / 266 ] simplifiying candidate # 1546424375.952 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424375.952 * * [misc]simplify: iters left: 6 (14 enodes) 1546424375.954 * * [misc]simplify: iters left: 5 (21 enodes) 1546424375.957 * * [misc]simplify: iters left: 4 (24 enodes) 1546424375.960 * [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)))))) 1546424375.960 * [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)))))))) 1546424375.960 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424375.960 * * [misc]simplify: iters left: 6 (17 enodes) 1546424375.963 * * [misc]simplify: iters left: 5 (26 enodes) 1546424375.967 * * [misc]simplify: iters left: 4 (33 enodes) 1546424375.972 * * [misc]simplify: iters left: 3 (45 enodes) 1546424375.978 * * [misc]simplify: iters left: 2 (70 enodes) 1546424375.991 * * [misc]simplify: iters left: 1 (91 enodes) 1546424376.006 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424376.006 * [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)))))))) 1546424376.006 * * * * [misc]progress: [ 154 / 266 ] simplifiying candidate # 1546424376.007 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424376.007 * * [misc]simplify: iters left: 6 (13 enodes) 1546424376.009 * * [misc]simplify: iters left: 5 (18 enodes) 1546424376.011 * * [misc]simplify: iters left: 4 (21 enodes) 1546424376.014 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424376.014 * [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)))))))) 1546424376.014 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424376.014 * * [misc]simplify: iters left: 6 (17 enodes) 1546424376.017 * * [misc]simplify: iters left: 5 (26 enodes) 1546424376.022 * * [misc]simplify: iters left: 4 (33 enodes) 1546424376.027 * * [misc]simplify: iters left: 3 (45 enodes) 1546424376.034 * * [misc]simplify: iters left: 2 (70 enodes) 1546424376.046 * * [misc]simplify: iters left: 1 (91 enodes) 1546424376.062 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424376.062 * [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)))))))) 1546424376.062 * * * * [misc]progress: [ 155 / 266 ] simplifiying candidate # 1546424376.062 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546424376.062 * * [misc]simplify: iters left: 6 (12 enodes) 1546424376.064 * * [misc]simplify: iters left: 5 (20 enodes) 1546424376.067 * * [misc]simplify: iters left: 4 (27 enodes) 1546424376.071 * * [misc]simplify: iters left: 3 (37 enodes) 1546424376.077 * * [misc]simplify: iters left: 2 (64 enodes) 1546424376.088 * * [misc]simplify: iters left: 1 (93 enodes) 1546424376.106 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424376.106 * [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))))))) 1546424376.106 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424376.107 * * [misc]simplify: iters left: 6 (18 enodes) 1546424376.113 * * [misc]simplify: iters left: 5 (30 enodes) 1546424376.122 * * [misc]simplify: iters left: 4 (41 enodes) 1546424376.135 * * [misc]simplify: iters left: 3 (76 enodes) 1546424376.163 * * [misc]simplify: iters left: 2 (142 enodes) 1546424376.246 * * [misc]simplify: iters left: 1 (391 enodes) 1546424376.582 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424376.582 * [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))))))) 1546424376.582 * * * * [misc]progress: [ 156 / 266 ] simplifiying candidate # 1546424376.582 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546424376.582 * * [misc]simplify: iters left: 6 (12 enodes) 1546424376.586 * * [misc]simplify: iters left: 5 (20 enodes) 1546424376.591 * * [misc]simplify: iters left: 4 (27 enodes) 1546424376.599 * * [misc]simplify: iters left: 3 (37 enodes) 1546424376.608 * * [misc]simplify: iters left: 2 (64 enodes) 1546424376.620 * * [misc]simplify: iters left: 1 (93 enodes) 1546424376.635 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424376.635 * [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))))))) 1546424376.636 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424376.636 * * [misc]simplify: iters left: 6 (18 enodes) 1546424376.642 * * [misc]simplify: iters left: 5 (30 enodes) 1546424376.651 * * [misc]simplify: iters left: 4 (41 enodes) 1546424376.664 * * [misc]simplify: iters left: 3 (76 enodes) 1546424376.692 * * [misc]simplify: iters left: 2 (142 enodes) 1546424376.794 * * [misc]simplify: iters left: 1 (391 enodes) 1546424377.089 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424377.089 * [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))))))) 1546424377.089 * * * * [misc]progress: [ 157 / 266 ] simplifiying candidate # 1546424377.089 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546424377.089 * * [misc]simplify: iters left: 6 (13 enodes) 1546424377.091 * * [misc]simplify: iters left: 5 (21 enodes) 1546424377.094 * * [misc]simplify: iters left: 4 (31 enodes) 1546424377.100 * * [misc]simplify: iters left: 3 (51 enodes) 1546424377.111 * * [misc]simplify: iters left: 2 (90 enodes) 1546424377.140 * * [misc]simplify: iters left: 1 (181 enodes) 1546424377.235 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424377.235 * [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))))))) 1546424377.235 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424377.236 * * [misc]simplify: iters left: 6 (15 enodes) 1546424377.241 * * [misc]simplify: iters left: 5 (25 enodes) 1546424377.246 * * [misc]simplify: iters left: 4 (38 enodes) 1546424377.253 * * [misc]simplify: iters left: 3 (73 enodes) 1546424377.266 * * [misc]simplify: iters left: 2 (139 enodes) 1546424377.324 * * [misc]simplify: iters left: 1 (375 enodes) 1546424377.643 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546424377.643 * [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)))))) 1546424377.644 * * * * [misc]progress: [ 158 / 266 ] simplifiying candidate # 1546424377.644 * [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))))))) 1546424377.644 * * [misc]simplify: iters left: 6 (16 enodes) 1546424377.649 * * [misc]simplify: iters left: 5 (29 enodes) 1546424377.658 * * [misc]simplify: iters left: 4 (50 enodes) 1546424377.672 * * [misc]simplify: iters left: 3 (70 enodes) 1546424377.685 * * [misc]simplify: iters left: 2 (169 enodes) 1546424377.750 * [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)))) 1546424377.750 * [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)))))))) 1546424377.750 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424377.750 * * [misc]simplify: iters left: 6 (18 enodes) 1546424377.754 * * [misc]simplify: iters left: 5 (29 enodes) 1546424377.760 * * [misc]simplify: iters left: 4 (42 enodes) 1546424377.774 * * [misc]simplify: iters left: 3 (77 enodes) 1546424377.801 * * [misc]simplify: iters left: 2 (143 enodes) 1546424377.873 * * [misc]simplify: iters left: 1 (394 enodes) 1546424378.113 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546424378.113 * [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)))))) 1546424378.113 * * * * [misc]progress: [ 159 / 266 ] simplifiying candidate # 1546424378.113 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424378.113 * * [misc]simplify: iters left: 6 (15 enodes) 1546424378.118 * * [misc]simplify: iters left: 5 (24 enodes) 1546424378.125 * * [misc]simplify: iters left: 4 (34 enodes) 1546424378.135 * * [misc]simplify: iters left: 3 (54 enodes) 1546424378.154 * * [misc]simplify: iters left: 2 (93 enodes) 1546424378.183 * * [misc]simplify: iters left: 1 (182 enodes) 1546424378.244 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424378.244 * [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)))))))) 1546424378.245 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424378.245 * * [misc]simplify: iters left: 6 (18 enodes) 1546424378.248 * * [misc]simplify: iters left: 5 (29 enodes) 1546424378.252 * * [misc]simplify: iters left: 4 (42 enodes) 1546424378.259 * * [misc]simplify: iters left: 3 (77 enodes) 1546424378.273 * * [misc]simplify: iters left: 2 (143 enodes) 1546424378.337 * * [misc]simplify: iters left: 1 (394 enodes) 1546424378.577 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546424378.577 * [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)))))) 1546424378.577 * * * * [misc]progress: [ 160 / 266 ] simplifiying candidate # 1546424378.578 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546424378.578 * * [misc]simplify: iters left: 6 (7 enodes) 1546424378.580 * * [misc]simplify: iters left: 5 (13 enodes) 1546424378.585 * * [misc]simplify: iters left: 4 (22 enodes) 1546424378.590 * * [misc]simplify: iters left: 3 (24 enodes) 1546424378.594 * * [misc]simplify: iters left: 2 (29 enodes) 1546424378.600 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546424378.600 * [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))))))) 1546424378.600 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424378.601 * * [misc]simplify: iters left: 6 (17 enodes) 1546424378.604 * * [misc]simplify: iters left: 5 (28 enodes) 1546424378.607 * * [misc]simplify: iters left: 4 (41 enodes) 1546424378.616 * * [misc]simplify: iters left: 3 (76 enodes) 1546424378.631 * * [misc]simplify: iters left: 2 (142 enodes) 1546424378.722 * * [misc]simplify: iters left: 1 (380 enodes) 1546424378.992 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424378.992 * [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))))))) 1546424378.992 * * * * [misc]progress: [ 161 / 266 ] simplifiying candidate # 1546424378.992 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546424378.992 * * [misc]simplify: iters left: 6 (11 enodes) 1546424378.994 * * [misc]simplify: iters left: 5 (17 enodes) 1546424378.996 * * [misc]simplify: iters left: 4 (20 enodes) 1546424378.998 * * [misc]simplify: iters left: 3 (22 enodes) 1546424379.002 * * [misc]simplify: iters left: 2 (34 enodes) 1546424379.006 * * [misc]simplify: iters left: 1 (42 enodes) 1546424379.015 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546424379.015 * [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))))))) 1546424379.015 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424379.015 * * [misc]simplify: iters left: 6 (18 enodes) 1546424379.022 * * [misc]simplify: iters left: 5 (30 enodes) 1546424379.031 * * [misc]simplify: iters left: 4 (41 enodes) 1546424379.038 * * [misc]simplify: iters left: 3 (76 enodes) 1546424379.053 * * [misc]simplify: iters left: 2 (142 enodes) 1546424379.104 * * [misc]simplify: iters left: 1 (391 enodes) 1546424379.373 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424379.373 * [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))))))) 1546424379.373 * * * * [misc]progress: [ 162 / 266 ] simplifiying candidate # 1546424379.373 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546424379.373 * * [misc]simplify: iters left: 6 (11 enodes) 1546424379.377 * * [misc]simplify: iters left: 5 (17 enodes) 1546424379.381 * * [misc]simplify: iters left: 4 (20 enodes) 1546424379.385 * * [misc]simplify: iters left: 3 (22 enodes) 1546424379.388 * * [misc]simplify: iters left: 2 (34 enodes) 1546424379.393 * * [misc]simplify: iters left: 1 (42 enodes) 1546424379.397 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546424379.397 * [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))))))) 1546424379.397 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424379.398 * * [misc]simplify: iters left: 6 (18 enodes) 1546424379.401 * * [misc]simplify: iters left: 5 (30 enodes) 1546424379.405 * * [misc]simplify: iters left: 4 (41 enodes) 1546424379.412 * * [misc]simplify: iters left: 3 (76 enodes) 1546424379.439 * * [misc]simplify: iters left: 2 (142 enodes) 1546424379.544 * * [misc]simplify: iters left: 1 (391 enodes) 1546424379.866 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424379.866 * [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))))))) 1546424379.866 * * * * [misc]progress: [ 163 / 266 ] simplifiying candidate # 1546424379.866 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546424379.867 * * [misc]simplify: iters left: 6 (12 enodes) 1546424379.868 * * [misc]simplify: iters left: 5 (18 enodes) 1546424379.871 * * [misc]simplify: iters left: 4 (24 enodes) 1546424379.874 * * [misc]simplify: iters left: 3 (32 enodes) 1546424379.879 * * [misc]simplify: iters left: 2 (41 enodes) 1546424379.885 * * [misc]simplify: iters left: 1 (51 enodes) 1546424379.891 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546424379.891 * [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))))))) 1546424379.891 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424379.891 * * [misc]simplify: iters left: 6 (15 enodes) 1546424379.894 * * [misc]simplify: iters left: 5 (25 enodes) 1546424379.897 * * [misc]simplify: iters left: 4 (38 enodes) 1546424379.904 * * [misc]simplify: iters left: 3 (73 enodes) 1546424379.930 * * [misc]simplify: iters left: 2 (139 enodes) 1546424379.991 * * [misc]simplify: iters left: 1 (375 enodes) 1546424380.254 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546424380.254 * [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)))))) 1546424380.254 * * * * [misc]progress: [ 164 / 266 ] simplifiying candidate # 1546424380.255 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424380.255 * * [misc]simplify: iters left: 6 (15 enodes) 1546424380.257 * * [misc]simplify: iters left: 5 (24 enodes) 1546424380.260 * * [misc]simplify: iters left: 4 (32 enodes) 1546424380.265 * * [misc]simplify: iters left: 3 (43 enodes) 1546424380.271 * * [misc]simplify: iters left: 2 (69 enodes) 1546424380.282 * * [misc]simplify: iters left: 1 (119 enodes) 1546424380.336 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424380.336 * [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)))))))) 1546424380.337 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424380.337 * * [misc]simplify: iters left: 6 (18 enodes) 1546424380.343 * * [misc]simplify: iters left: 5 (29 enodes) 1546424380.350 * * [misc]simplify: iters left: 4 (42 enodes) 1546424380.363 * * [misc]simplify: iters left: 3 (77 enodes) 1546424380.390 * * [misc]simplify: iters left: 2 (143 enodes) 1546424380.491 * * [misc]simplify: iters left: 1 (394 enodes) 1546424380.793 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546424380.793 * [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)))))) 1546424380.793 * * * * [misc]progress: [ 165 / 266 ] simplifiying candidate # 1546424380.794 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424380.794 * * [misc]simplify: iters left: 6 (14 enodes) 1546424380.798 * * [misc]simplify: iters left: 5 (21 enodes) 1546424380.804 * * [misc]simplify: iters left: 4 (27 enodes) 1546424380.807 * * [misc]simplify: iters left: 3 (35 enodes) 1546424380.813 * * [misc]simplify: iters left: 2 (43 enodes) 1546424380.818 * * [misc]simplify: iters left: 1 (56 enodes) 1546424380.825 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424380.825 * [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)))))))) 1546424380.825 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424380.825 * * [misc]simplify: iters left: 6 (18 enodes) 1546424380.829 * * [misc]simplify: iters left: 5 (29 enodes) 1546424380.833 * * [misc]simplify: iters left: 4 (42 enodes) 1546424380.841 * * [misc]simplify: iters left: 3 (77 enodes) 1546424380.864 * * [misc]simplify: iters left: 2 (143 enodes) 1546424380.913 * * [misc]simplify: iters left: 1 (394 enodes) 1546424381.228 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546424381.228 * [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)))))) 1546424381.228 * * * * [misc]progress: [ 166 / 266 ] simplifiying candidate # 1546424381.228 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1546424381.229 * * [misc]simplify: iters left: 6 (6 enodes) 1546424381.230 * * [misc]simplify: iters left: 5 (10 enodes) 1546424381.235 * * [misc]simplify: iters left: 4 (16 enodes) 1546424381.238 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546424381.238 * [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))))))) 1546424381.238 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424381.239 * * [misc]simplify: iters left: 6 (17 enodes) 1546424381.245 * * [misc]simplify: iters left: 5 (28 enodes) 1546424381.253 * * [misc]simplify: iters left: 4 (41 enodes) 1546424381.269 * * [misc]simplify: iters left: 3 (76 enodes) 1546424381.297 * * [misc]simplify: iters left: 2 (142 enodes) 1546424381.359 * * [misc]simplify: iters left: 1 (380 enodes) 1546424381.685 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424381.686 * [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))))))) 1546424381.686 * * * * [misc]progress: [ 167 / 266 ] simplifiying candidate # 1546424381.686 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546424381.686 * * [misc]simplify: iters left: 6 (8 enodes) 1546424381.689 * * [misc]simplify: iters left: 5 (14 enodes) 1546424381.692 * * [misc]simplify: iters left: 4 (15 enodes) 1546424381.696 * * [misc]simplify: iters left: 3 (19 enodes) 1546424381.700 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546424381.700 * [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))))))) 1546424381.700 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424381.700 * * [misc]simplify: iters left: 6 (17 enodes) 1546424381.707 * * [misc]simplify: iters left: 5 (29 enodes) 1546424381.715 * * [misc]simplify: iters left: 4 (40 enodes) 1546424381.729 * * [misc]simplify: iters left: 3 (75 enodes) 1546424381.756 * * [misc]simplify: iters left: 2 (141 enodes) 1546424381.828 * * [misc]simplify: iters left: 1 (379 enodes) 1546424382.104 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546424382.104 * [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)))) 1546424382.104 * * * * [misc]progress: [ 168 / 266 ] simplifiying candidate # 1546424382.104 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546424382.104 * * [misc]simplify: iters left: 6 (8 enodes) 1546424382.106 * * [misc]simplify: iters left: 5 (14 enodes) 1546424382.108 * * [misc]simplify: iters left: 4 (15 enodes) 1546424382.110 * * [misc]simplify: iters left: 3 (19 enodes) 1546424382.112 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546424382.112 * [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))))))) 1546424382.112 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424382.112 * * [misc]simplify: iters left: 6 (17 enodes) 1546424382.115 * * [misc]simplify: iters left: 5 (29 enodes) 1546424382.119 * * [misc]simplify: iters left: 4 (40 enodes) 1546424382.127 * * [misc]simplify: iters left: 3 (75 enodes) 1546424382.141 * * [misc]simplify: iters left: 2 (141 enodes) 1546424382.234 * * [misc]simplify: iters left: 1 (379 enodes) 1546424382.524 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546424382.524 * [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)))) 1546424382.524 * * * * [misc]progress: [ 169 / 266 ] simplifiying candidate # 1546424382.524 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1546424382.524 * * [misc]simplify: iters left: 6 (10 enodes) 1546424382.528 * * [misc]simplify: iters left: 5 (16 enodes) 1546424382.532 * * [misc]simplify: iters left: 4 (20 enodes) 1546424382.541 * * [misc]simplify: iters left: 3 (24 enodes) 1546424382.547 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546424382.547 * [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))))))) 1546424382.547 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546424382.547 * * [misc]simplify: iters left: 6 (14 enodes) 1546424382.552 * * [misc]simplify: iters left: 5 (24 enodes) 1546424382.559 * * [misc]simplify: iters left: 4 (37 enodes) 1546424382.572 * * [misc]simplify: iters left: 3 (72 enodes) 1546424382.586 * * [misc]simplify: iters left: 2 (138 enodes) 1546424382.635 * * [misc]simplify: iters left: 1 (391 enodes) 1546424382.875 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1546424382.875 * [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)))) 1546424382.875 * * * * [misc]progress: [ 170 / 266 ] simplifiying candidate # 1546424382.875 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424382.876 * * [misc]simplify: iters left: 6 (13 enodes) 1546424382.881 * * [misc]simplify: iters left: 5 (22 enodes) 1546424382.887 * * [misc]simplify: iters left: 4 (26 enodes) 1546424382.895 * * [misc]simplify: iters left: 3 (32 enodes) 1546424382.903 * * [misc]simplify: iters left: 2 (34 enodes) 1546424382.911 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424382.911 * [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)))))))) 1546424382.911 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424382.911 * * [misc]simplify: iters left: 6 (17 enodes) 1546424382.917 * * [misc]simplify: iters left: 5 (28 enodes) 1546424382.925 * * [misc]simplify: iters left: 4 (41 enodes) 1546424382.939 * * [misc]simplify: iters left: 3 (76 enodes) 1546424382.966 * * [misc]simplify: iters left: 2 (142 enodes) 1546424383.064 * * [misc]simplify: iters left: 1 (382 enodes) 1546424383.446 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546424383.446 * [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))))))) 1546424383.446 * * * * [misc]progress: [ 171 / 266 ] simplifiying candidate # 1546424383.447 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424383.447 * * [misc]simplify: iters left: 6 (12 enodes) 1546424383.452 * * [misc]simplify: iters left: 5 (19 enodes) 1546424383.457 * * [misc]simplify: iters left: 4 (23 enodes) 1546424383.463 * * [misc]simplify: iters left: 3 (27 enodes) 1546424383.470 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1546424383.470 * [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)))))))) 1546424383.470 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424383.470 * * [misc]simplify: iters left: 6 (17 enodes) 1546424383.476 * * [misc]simplify: iters left: 5 (28 enodes) 1546424383.485 * * [misc]simplify: iters left: 4 (41 enodes) 1546424383.498 * * [misc]simplify: iters left: 3 (76 enodes) 1546424383.529 * * [misc]simplify: iters left: 2 (142 enodes) 1546424383.623 * * [misc]simplify: iters left: 1 (382 enodes) 1546424384.015 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546424384.015 * [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))))))) 1546424384.015 * * * * [misc]progress: [ 172 / 266 ] simplifiying candidate # 1546424384.015 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1546424384.015 * * [misc]simplify: iters left: 4 (3 enodes) 1546424384.016 * * [misc]simplify: iters left: 3 (5 enodes) 1546424384.017 * [exit]simplify: Simplified to 1 1546424384.017 * [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))))))) 1546424384.018 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424384.018 * * [misc]simplify: iters left: 6 (16 enodes) 1546424384.024 * * [misc]simplify: iters left: 5 (27 enodes) 1546424384.032 * * [misc]simplify: iters left: 4 (40 enodes) 1546424384.046 * * [misc]simplify: iters left: 3 (75 enodes) 1546424384.074 * * [misc]simplify: iters left: 2 (141 enodes) 1546424384.167 * * [misc]simplify: iters left: 1 (376 enodes) 1546424384.482 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546424384.482 * [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)))))) 1546424384.482 * * * * [misc]progress: [ 173 / 266 ] simplifiying candidate # 1546424384.482 * [enter]simplify: Simplifying (/ 1 1) 1546424384.482 * * [misc]simplify: iters left: 2 (2 enodes) 1546424384.483 * * [misc]simplify: iters left: 1 (4 enodes) 1546424384.483 * [exit]simplify: Simplified to 1 1546424384.483 * [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))))))) 1546424384.483 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424384.483 * * [misc]simplify: iters left: 6 (16 enodes) 1546424384.486 * * [misc]simplify: iters left: 5 (27 enodes) 1546424384.490 * * [misc]simplify: iters left: 4 (40 enodes) 1546424384.497 * * [misc]simplify: iters left: 3 (75 enodes) 1546424384.510 * * [misc]simplify: iters left: 2 (141 enodes) 1546424384.593 * * [misc]simplify: iters left: 1 (376 enodes) 1546424384.925 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546424384.925 * [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)))))) 1546424384.925 * * * * [misc]progress: [ 174 / 266 ] simplifiying candidate # 1546424384.926 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1546424384.926 * * [misc]simplify: iters left: 3 (4 enodes) 1546424384.927 * * [misc]simplify: iters left: 2 (6 enodes) 1546424384.929 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546424384.929 * [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))))))) 1546424384.929 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546424384.929 * * [misc]simplify: iters left: 6 (15 enodes) 1546424384.933 * * [misc]simplify: iters left: 5 (26 enodes) 1546424384.937 * * [misc]simplify: iters left: 4 (35 enodes) 1546424384.943 * * [misc]simplify: iters left: 3 (61 enodes) 1546424384.957 * * [misc]simplify: iters left: 2 (82 enodes) 1546424384.968 * * [misc]simplify: iters left: 1 (85 enodes) 1546424384.985 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546424384.985 * [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)))))) 1546424384.985 * * * * [misc]progress: [ 175 / 266 ] simplifiying candidate # 1546424384.985 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1546424384.986 * * [misc]simplify: iters left: 6 (10 enodes) 1546424384.989 * * [misc]simplify: iters left: 5 (16 enodes) 1546424384.993 * * [misc]simplify: iters left: 4 (19 enodes) 1546424384.998 * * [misc]simplify: iters left: 3 (21 enodes) 1546424385.005 * * [misc]simplify: iters left: 2 (33 enodes) 1546424385.014 * * [misc]simplify: iters left: 1 (41 enodes) 1546424385.023 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546424385.023 * [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))))) 1546424385.023 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1546424385.023 * * [misc]simplify: iters left: 6 (14 enodes) 1546424385.028 * * [misc]simplify: iters left: 5 (23 enodes) 1546424385.035 * * [misc]simplify: iters left: 4 (30 enodes) 1546424385.044 * * [misc]simplify: iters left: 3 (42 enodes) 1546424385.056 * * [misc]simplify: iters left: 2 (67 enodes) 1546424385.082 * * [misc]simplify: iters left: 1 (88 enodes) 1546424385.111 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546424385.111 * [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))))) 1546424385.111 * * * * [misc]progress: [ 176 / 266 ] simplifiying candidate # 1546424385.112 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424385.112 * * [misc]simplify: iters left: 6 (14 enodes) 1546424385.116 * * [misc]simplify: iters left: 5 (21 enodes) 1546424385.123 * * [misc]simplify: iters left: 4 (24 enodes) 1546424385.126 * [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)))))) 1546424385.126 * [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)))))))) 1546424385.126 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424385.127 * * [misc]simplify: iters left: 6 (17 enodes) 1546424385.130 * * [misc]simplify: iters left: 5 (26 enodes) 1546424385.133 * * [misc]simplify: iters left: 4 (33 enodes) 1546424385.138 * * [misc]simplify: iters left: 3 (45 enodes) 1546424385.144 * * [misc]simplify: iters left: 2 (70 enodes) 1546424385.160 * * [misc]simplify: iters left: 1 (91 enodes) 1546424385.175 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424385.175 * [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)))))))) 1546424385.175 * * * * [misc]progress: [ 177 / 266 ] simplifiying candidate # 1546424385.176 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424385.177 * * [misc]simplify: iters left: 6 (13 enodes) 1546424385.179 * * [misc]simplify: iters left: 5 (18 enodes) 1546424385.181 * * [misc]simplify: iters left: 4 (21 enodes) 1546424385.184 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424385.184 * [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)))))))) 1546424385.184 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424385.184 * * [misc]simplify: iters left: 6 (17 enodes) 1546424385.187 * * [misc]simplify: iters left: 5 (26 enodes) 1546424385.190 * * [misc]simplify: iters left: 4 (33 enodes) 1546424385.195 * * [misc]simplify: iters left: 3 (45 enodes) 1546424385.201 * * [misc]simplify: iters left: 2 (70 enodes) 1546424385.216 * * [misc]simplify: iters left: 1 (91 enodes) 1546424385.247 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424385.247 * [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)))))))) 1546424385.247 * * * * [misc]progress: [ 178 / 266 ] simplifiying candidate # 1546424385.247 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546424385.247 * * [misc]simplify: iters left: 6 (12 enodes) 1546424385.251 * * [misc]simplify: iters left: 5 (20 enodes) 1546424385.257 * * [misc]simplify: iters left: 4 (27 enodes) 1546424385.265 * * [misc]simplify: iters left: 3 (37 enodes) 1546424385.278 * * [misc]simplify: iters left: 2 (64 enodes) 1546424385.301 * * [misc]simplify: iters left: 1 (93 enodes) 1546424385.333 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424385.334 * [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))))))) 1546424385.334 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424385.334 * * [misc]simplify: iters left: 6 (18 enodes) 1546424385.340 * * [misc]simplify: iters left: 5 (30 enodes) 1546424385.349 * * [misc]simplify: iters left: 4 (41 enodes) 1546424385.361 * * [misc]simplify: iters left: 3 (76 enodes) 1546424385.375 * * [misc]simplify: iters left: 2 (142 enodes) 1546424385.446 * * [misc]simplify: iters left: 1 (391 enodes) 1546424386.117 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424386.117 * [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))))))) 1546424386.117 * * * * [misc]progress: [ 179 / 266 ] simplifiying candidate # 1546424386.117 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546424386.117 * * [misc]simplify: iters left: 6 (12 enodes) 1546424386.121 * * [misc]simplify: iters left: 5 (20 enodes) 1546424386.126 * * [misc]simplify: iters left: 4 (27 enodes) 1546424386.139 * * [misc]simplify: iters left: 3 (37 enodes) 1546424386.152 * * [misc]simplify: iters left: 2 (64 enodes) 1546424386.173 * * [misc]simplify: iters left: 1 (93 enodes) 1546424386.204 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424386.204 * [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))))))) 1546424386.204 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424386.204 * * [misc]simplify: iters left: 6 (18 enodes) 1546424386.211 * * [misc]simplify: iters left: 5 (30 enodes) 1546424386.219 * * [misc]simplify: iters left: 4 (41 enodes) 1546424386.232 * * [misc]simplify: iters left: 3 (76 enodes) 1546424386.259 * * [misc]simplify: iters left: 2 (142 enodes) 1546424386.362 * * [misc]simplify: iters left: 1 (391 enodes) 1546424386.768 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424386.768 * [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))))))) 1546424386.768 * * * * [misc]progress: [ 180 / 266 ] simplifiying candidate # 1546424386.768 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546424386.769 * * [misc]simplify: iters left: 6 (13 enodes) 1546424386.773 * * [misc]simplify: iters left: 5 (21 enodes) 1546424386.779 * * [misc]simplify: iters left: 4 (31 enodes) 1546424386.789 * * [misc]simplify: iters left: 3 (51 enodes) 1546424386.807 * * [misc]simplify: iters left: 2 (90 enodes) 1546424386.829 * * [misc]simplify: iters left: 1 (181 enodes) 1546424386.896 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424386.896 * [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))))))) 1546424386.897 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424386.897 * * [misc]simplify: iters left: 6 (15 enodes) 1546424386.902 * * [misc]simplify: iters left: 5 (25 enodes) 1546424386.910 * * [misc]simplify: iters left: 4 (38 enodes) 1546424386.923 * * [misc]simplify: iters left: 3 (73 enodes) 1546424386.949 * * [misc]simplify: iters left: 2 (139 enodes) 1546424386.998 * * [misc]simplify: iters left: 1 (375 enodes) 1546424387.239 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546424387.239 * [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)))))) 1546424387.239 * * * * [misc]progress: [ 181 / 266 ] simplifiying candidate # 1546424387.240 * [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))))))) 1546424387.240 * * [misc]simplify: iters left: 6 (16 enodes) 1546424387.245 * * [misc]simplify: iters left: 5 (29 enodes) 1546424387.255 * * [misc]simplify: iters left: 4 (50 enodes) 1546424387.270 * * [misc]simplify: iters left: 3 (70 enodes) 1546424387.295 * * [misc]simplify: iters left: 2 (169 enodes) 1546424387.370 * [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)))) 1546424387.370 * [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)))))))) 1546424387.370 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424387.370 * * [misc]simplify: iters left: 6 (18 enodes) 1546424387.377 * * [misc]simplify: iters left: 5 (29 enodes) 1546424387.385 * * [misc]simplify: iters left: 4 (42 enodes) 1546424387.397 * * [misc]simplify: iters left: 3 (77 enodes) 1546424387.411 * * [misc]simplify: iters left: 2 (143 enodes) 1546424387.461 * * [misc]simplify: iters left: 1 (394 enodes) 1546424387.697 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546424387.697 * [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)))))) 1546424387.697 * * * * [misc]progress: [ 182 / 266 ] simplifiying candidate # 1546424387.698 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424387.698 * * [misc]simplify: iters left: 6 (15 enodes) 1546424387.702 * * [misc]simplify: iters left: 5 (24 enodes) 1546424387.710 * * [misc]simplify: iters left: 4 (34 enodes) 1546424387.720 * * [misc]simplify: iters left: 3 (54 enodes) 1546424387.739 * * [misc]simplify: iters left: 2 (93 enodes) 1546424387.772 * * [misc]simplify: iters left: 1 (182 enodes) 1546424387.854 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424387.855 * [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)))))))) 1546424387.855 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424387.855 * * [misc]simplify: iters left: 6 (18 enodes) 1546424387.858 * * [misc]simplify: iters left: 5 (29 enodes) 1546424387.862 * * [misc]simplify: iters left: 4 (42 enodes) 1546424387.870 * * [misc]simplify: iters left: 3 (77 enodes) 1546424387.885 * * [misc]simplify: iters left: 2 (143 enodes) 1546424387.958 * * [misc]simplify: iters left: 1 (394 enodes) 1546424388.210 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546424388.210 * [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)))))) 1546424388.210 * * * * [misc]progress: [ 183 / 266 ] simplifiying candidate # 1546424388.210 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546424388.210 * * [misc]simplify: iters left: 6 (7 enodes) 1546424388.212 * * [misc]simplify: iters left: 5 (13 enodes) 1546424388.214 * * [misc]simplify: iters left: 4 (22 enodes) 1546424388.216 * * [misc]simplify: iters left: 3 (24 enodes) 1546424388.219 * * [misc]simplify: iters left: 2 (29 enodes) 1546424388.224 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546424388.224 * [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))))))) 1546424388.225 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424388.225 * * [misc]simplify: iters left: 6 (17 enodes) 1546424388.230 * * [misc]simplify: iters left: 5 (28 enodes) 1546424388.237 * * [misc]simplify: iters left: 4 (41 enodes) 1546424388.249 * * [misc]simplify: iters left: 3 (76 enodes) 1546424388.266 * * [misc]simplify: iters left: 2 (142 enodes) 1546424388.322 * * [misc]simplify: iters left: 1 (380 enodes) 1546424388.649 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424388.649 * [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))))))) 1546424388.649 * * * * [misc]progress: [ 184 / 266 ] simplifiying candidate # 1546424388.649 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546424388.649 * * [misc]simplify: iters left: 6 (11 enodes) 1546424388.651 * * [misc]simplify: iters left: 5 (17 enodes) 1546424388.653 * * [misc]simplify: iters left: 4 (20 enodes) 1546424388.656 * * [misc]simplify: iters left: 3 (22 enodes) 1546424388.659 * * [misc]simplify: iters left: 2 (34 enodes) 1546424388.663 * * [misc]simplify: iters left: 1 (42 enodes) 1546424388.668 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546424388.668 * [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))))))) 1546424388.668 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424388.668 * * [misc]simplify: iters left: 6 (18 enodes) 1546424388.671 * * [misc]simplify: iters left: 5 (30 enodes) 1546424388.680 * * [misc]simplify: iters left: 4 (41 enodes) 1546424388.696 * * [misc]simplify: iters left: 3 (76 enodes) 1546424388.711 * * [misc]simplify: iters left: 2 (142 enodes) 1546424388.788 * * [misc]simplify: iters left: 1 (391 enodes) 1546424389.077 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424389.077 * [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))))))) 1546424389.077 * * * * [misc]progress: [ 185 / 266 ] simplifiying candidate # 1546424389.078 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546424389.078 * * [misc]simplify: iters left: 6 (11 enodes) 1546424389.079 * * [misc]simplify: iters left: 5 (17 enodes) 1546424389.081 * * [misc]simplify: iters left: 4 (20 enodes) 1546424389.084 * * [misc]simplify: iters left: 3 (22 enodes) 1546424389.087 * * [misc]simplify: iters left: 2 (34 enodes) 1546424389.092 * * [misc]simplify: iters left: 1 (42 enodes) 1546424389.102 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546424389.102 * [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))))))) 1546424389.102 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424389.102 * * [misc]simplify: iters left: 6 (18 enodes) 1546424389.109 * * [misc]simplify: iters left: 5 (30 enodes) 1546424389.118 * * [misc]simplify: iters left: 4 (41 enodes) 1546424389.132 * * [misc]simplify: iters left: 3 (76 enodes) 1546424389.162 * * [misc]simplify: iters left: 2 (142 enodes) 1546424389.265 * * [misc]simplify: iters left: 1 (391 enodes) 1546424389.621 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424389.621 * [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))))))) 1546424389.621 * * * * [misc]progress: [ 186 / 266 ] simplifiying candidate # 1546424389.621 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546424389.621 * * [misc]simplify: iters left: 6 (12 enodes) 1546424389.625 * * [misc]simplify: iters left: 5 (18 enodes) 1546424389.630 * * [misc]simplify: iters left: 4 (24 enodes) 1546424389.637 * * [misc]simplify: iters left: 3 (32 enodes) 1546424389.646 * * [misc]simplify: iters left: 2 (41 enodes) 1546424389.650 * * [misc]simplify: iters left: 1 (51 enodes) 1546424389.656 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546424389.656 * [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))))))) 1546424389.657 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424389.657 * * [misc]simplify: iters left: 6 (15 enodes) 1546424389.659 * * [misc]simplify: iters left: 5 (25 enodes) 1546424389.663 * * [misc]simplify: iters left: 4 (38 enodes) 1546424389.669 * * [misc]simplify: iters left: 3 (73 enodes) 1546424389.688 * * [misc]simplify: iters left: 2 (139 enodes) 1546424389.741 * * [misc]simplify: iters left: 1 (375 enodes) 1546424390.063 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546424390.063 * [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)))))) 1546424390.063 * * * * [misc]progress: [ 187 / 266 ] simplifiying candidate # 1546424390.063 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424390.064 * * [misc]simplify: iters left: 6 (15 enodes) 1546424390.068 * * [misc]simplify: iters left: 5 (24 enodes) 1546424390.075 * * [misc]simplify: iters left: 4 (32 enodes) 1546424390.085 * * [misc]simplify: iters left: 3 (43 enodes) 1546424390.098 * * [misc]simplify: iters left: 2 (69 enodes) 1546424390.123 * * [misc]simplify: iters left: 1 (119 enodes) 1546424390.153 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424390.153 * [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)))))))) 1546424390.153 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424390.153 * * [misc]simplify: iters left: 6 (18 enodes) 1546424390.157 * * [misc]simplify: iters left: 5 (29 enodes) 1546424390.161 * * [misc]simplify: iters left: 4 (42 enodes) 1546424390.168 * * [misc]simplify: iters left: 3 (77 enodes) 1546424390.182 * * [misc]simplify: iters left: 2 (143 enodes) 1546424390.274 * * [misc]simplify: iters left: 1 (394 enodes) 1546424390.590 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546424390.590 * [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)))))) 1546424390.590 * * * * [misc]progress: [ 188 / 266 ] simplifiying candidate # 1546424390.590 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424390.590 * * [misc]simplify: iters left: 6 (14 enodes) 1546424390.592 * * [misc]simplify: iters left: 5 (21 enodes) 1546424390.595 * * [misc]simplify: iters left: 4 (27 enodes) 1546424390.598 * * [misc]simplify: iters left: 3 (35 enodes) 1546424390.604 * * [misc]simplify: iters left: 2 (43 enodes) 1546424390.609 * * [misc]simplify: iters left: 1 (56 enodes) 1546424390.616 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424390.616 * [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)))))))) 1546424390.616 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424390.616 * * [misc]simplify: iters left: 6 (18 enodes) 1546424390.619 * * [misc]simplify: iters left: 5 (29 enodes) 1546424390.630 * * [misc]simplify: iters left: 4 (42 enodes) 1546424390.645 * * [misc]simplify: iters left: 3 (77 enodes) 1546424390.663 * * [misc]simplify: iters left: 2 (143 enodes) 1546424390.730 * * [misc]simplify: iters left: 1 (394 enodes) 1546424391.010 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546424391.010 * [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)))))) 1546424391.010 * * * * [misc]progress: [ 189 / 266 ] simplifiying candidate # 1546424391.011 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1546424391.011 * * [misc]simplify: iters left: 6 (6 enodes) 1546424391.013 * * [misc]simplify: iters left: 5 (10 enodes) 1546424391.016 * * [misc]simplify: iters left: 4 (16 enodes) 1546424391.020 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546424391.020 * [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))))))) 1546424391.020 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424391.020 * * [misc]simplify: iters left: 6 (17 enodes) 1546424391.027 * * [misc]simplify: iters left: 5 (28 enodes) 1546424391.035 * * [misc]simplify: iters left: 4 (41 enodes) 1546424391.049 * * [misc]simplify: iters left: 3 (76 enodes) 1546424391.077 * * [misc]simplify: iters left: 2 (142 enodes) 1546424391.171 * * [misc]simplify: iters left: 1 (380 enodes) 1546424391.404 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546424391.404 * [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))))))) 1546424391.404 * * * * [misc]progress: [ 190 / 266 ] simplifiying candidate # 1546424391.405 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546424391.405 * * [misc]simplify: iters left: 6 (8 enodes) 1546424391.408 * * [misc]simplify: iters left: 5 (14 enodes) 1546424391.411 * * [misc]simplify: iters left: 4 (15 enodes) 1546424391.415 * * [misc]simplify: iters left: 3 (19 enodes) 1546424391.417 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546424391.417 * [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))))))) 1546424391.418 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424391.418 * * [misc]simplify: iters left: 6 (17 enodes) 1546424391.421 * * [misc]simplify: iters left: 5 (29 enodes) 1546424391.425 * * [misc]simplify: iters left: 4 (40 enodes) 1546424391.431 * * [misc]simplify: iters left: 3 (75 enodes) 1546424391.446 * * [misc]simplify: iters left: 2 (141 enodes) 1546424391.539 * * [misc]simplify: iters left: 1 (379 enodes) 1546424391.846 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546424391.847 * [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)))) 1546424391.848 * * * * [misc]progress: [ 191 / 266 ] simplifiying candidate # 1546424391.848 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546424391.848 * * [misc]simplify: iters left: 6 (8 enodes) 1546424391.850 * * [misc]simplify: iters left: 5 (14 enodes) 1546424391.851 * * [misc]simplify: iters left: 4 (15 enodes) 1546424391.854 * * [misc]simplify: iters left: 3 (19 enodes) 1546424391.860 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546424391.860 * [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))))))) 1546424391.860 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424391.860 * * [misc]simplify: iters left: 6 (17 enodes) 1546424391.866 * * [misc]simplify: iters left: 5 (29 enodes) 1546424391.874 * * [misc]simplify: iters left: 4 (40 enodes) 1546424391.887 * * [misc]simplify: iters left: 3 (75 enodes) 1546424391.915 * * [misc]simplify: iters left: 2 (141 enodes) 1546424391.965 * * [misc]simplify: iters left: 1 (379 enodes) 1546424392.191 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546424392.191 * [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)))) 1546424392.191 * * * * [misc]progress: [ 192 / 266 ] simplifiying candidate # 1546424392.192 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1546424392.192 * * [misc]simplify: iters left: 6 (10 enodes) 1546424392.196 * * [misc]simplify: iters left: 5 (16 enodes) 1546424392.200 * * [misc]simplify: iters left: 4 (20 enodes) 1546424392.206 * * [misc]simplify: iters left: 3 (24 enodes) 1546424392.212 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546424392.212 * [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))))))) 1546424392.212 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546424392.212 * * [misc]simplify: iters left: 6 (14 enodes) 1546424392.218 * * [misc]simplify: iters left: 5 (24 enodes) 1546424392.225 * * [misc]simplify: iters left: 4 (37 enodes) 1546424392.237 * * [misc]simplify: iters left: 3 (72 enodes) 1546424392.264 * * [misc]simplify: iters left: 2 (138 enodes) 1546424392.348 * * [misc]simplify: iters left: 1 (391 enodes) 1546424392.638 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1546424392.638 * [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)))) 1546424392.638 * * * * [misc]progress: [ 193 / 266 ] simplifiying candidate # 1546424392.638 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424392.638 * * [misc]simplify: iters left: 6 (13 enodes) 1546424392.643 * * [misc]simplify: iters left: 5 (22 enodes) 1546424392.649 * * [misc]simplify: iters left: 4 (26 enodes) 1546424392.657 * * [misc]simplify: iters left: 3 (32 enodes) 1546424392.664 * * [misc]simplify: iters left: 2 (34 enodes) 1546424392.673 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424392.673 * [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)))))))) 1546424392.673 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424392.673 * * [misc]simplify: iters left: 6 (17 enodes) 1546424392.680 * * [misc]simplify: iters left: 5 (28 enodes) 1546424392.688 * * [misc]simplify: iters left: 4 (41 enodes) 1546424392.698 * * [misc]simplify: iters left: 3 (76 enodes) 1546424392.712 * * [misc]simplify: iters left: 2 (142 enodes) 1546424392.779 * * [misc]simplify: iters left: 1 (382 enodes) 1546424393.073 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546424393.073 * [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))))))) 1546424393.073 * * * * [misc]progress: [ 194 / 266 ] simplifiying candidate # 1546424393.073 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424393.073 * * [misc]simplify: iters left: 6 (12 enodes) 1546424393.076 * * [misc]simplify: iters left: 5 (19 enodes) 1546424393.081 * * [misc]simplify: iters left: 4 (23 enodes) 1546424393.088 * * [misc]simplify: iters left: 3 (27 enodes) 1546424393.094 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1546424393.094 * [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)))))))) 1546424393.094 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424393.095 * * [misc]simplify: iters left: 6 (17 enodes) 1546424393.101 * * [misc]simplify: iters left: 5 (28 enodes) 1546424393.109 * * [misc]simplify: iters left: 4 (41 enodes) 1546424393.125 * * [misc]simplify: iters left: 3 (76 enodes) 1546424393.152 * * [misc]simplify: iters left: 2 (142 enodes) 1546424393.221 * * [misc]simplify: iters left: 1 (382 enodes) 1546424393.669 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546424393.669 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1546424393.669 * * * * [misc]progress: [ 195 / 266 ] simplifiying candidate # 1546424393.669 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1546424393.669 * * [misc]simplify: iters left: 4 (3 enodes) 1546424393.671 * * [misc]simplify: iters left: 3 (5 enodes) 1546424393.671 * [exit]simplify: Simplified to 1 1546424393.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424393.671 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424393.671 * * [misc]simplify: iters left: 6 (16 enodes) 1546424393.676 * * [misc]simplify: iters left: 5 (27 enodes) 1546424393.679 * * [misc]simplify: iters left: 4 (40 enodes) 1546424393.686 * * [misc]simplify: iters left: 3 (75 enodes) 1546424393.699 * * [misc]simplify: iters left: 2 (141 enodes) 1546424393.778 * * [misc]simplify: iters left: 1 (376 enodes) 1546424394.128 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546424394.128 * [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)))))) 1546424394.128 * * * * [misc]progress: [ 196 / 266 ] simplifiying candidate # 1546424394.128 * [enter]simplify: Simplifying (/ 1 1) 1546424394.128 * * [misc]simplify: iters left: 2 (2 enodes) 1546424394.129 * * [misc]simplify: iters left: 1 (4 enodes) 1546424394.129 * [exit]simplify: Simplified to 1 1546424394.129 * [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))))))) 1546424394.129 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424394.129 * * [misc]simplify: iters left: 6 (16 enodes) 1546424394.132 * * [misc]simplify: iters left: 5 (27 enodes) 1546424394.136 * * [misc]simplify: iters left: 4 (40 enodes) 1546424394.142 * * [misc]simplify: iters left: 3 (75 enodes) 1546424394.168 * * [misc]simplify: iters left: 2 (141 enodes) 1546424394.237 * * [misc]simplify: iters left: 1 (376 enodes) 1546424394.518 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546424394.518 * [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)))))) 1546424394.518 * * * * [misc]progress: [ 197 / 266 ] simplifiying candidate # 1546424394.518 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1546424394.518 * * [misc]simplify: iters left: 3 (4 enodes) 1546424394.519 * * [misc]simplify: iters left: 2 (6 enodes) 1546424394.520 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546424394.520 * [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))))))) 1546424394.520 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546424394.520 * * [misc]simplify: iters left: 6 (15 enodes) 1546424394.523 * * [misc]simplify: iters left: 5 (26 enodes) 1546424394.531 * * [misc]simplify: iters left: 4 (35 enodes) 1546424394.537 * * [misc]simplify: iters left: 3 (61 enodes) 1546424394.550 * * [misc]simplify: iters left: 2 (82 enodes) 1546424394.562 * * [misc]simplify: iters left: 1 (85 enodes) 1546424394.571 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546424394.571 * [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)))))) 1546424394.571 * * * * [misc]progress: [ 198 / 266 ] simplifiying candidate # 1546424394.572 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1546424394.572 * * [misc]simplify: iters left: 6 (10 enodes) 1546424394.573 * * [misc]simplify: iters left: 5 (16 enodes) 1546424394.575 * * [misc]simplify: iters left: 4 (19 enodes) 1546424394.578 * * [misc]simplify: iters left: 3 (21 enodes) 1546424394.583 * * [misc]simplify: iters left: 2 (33 enodes) 1546424394.591 * * [misc]simplify: iters left: 1 (41 enodes) 1546424394.601 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546424394.601 * [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))))) 1546424394.601 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1546424394.601 * * [misc]simplify: iters left: 6 (14 enodes) 1546424394.606 * * [misc]simplify: iters left: 5 (23 enodes) 1546424394.612 * * [misc]simplify: iters left: 4 (30 enodes) 1546424394.621 * * [misc]simplify: iters left: 3 (42 enodes) 1546424394.635 * * [misc]simplify: iters left: 2 (67 enodes) 1546424394.658 * * [misc]simplify: iters left: 1 (88 enodes) 1546424394.679 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546424394.679 * [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))))) 1546424394.679 * * * * [misc]progress: [ 199 / 266 ] simplifiying candidate # 1546424394.679 * [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))))))) 1546424394.679 * * [misc]simplify: iters left: 6 (15 enodes) 1546424394.682 * * [misc]simplify: iters left: 5 (22 enodes) 1546424394.684 * * [misc]simplify: iters left: 4 (25 enodes) 1546424394.687 * [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))))))) 1546424394.688 * [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)))))))) 1546424394.688 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424394.688 * * [misc]simplify: iters left: 6 (14 enodes) 1546424394.690 * * [misc]simplify: iters left: 5 (17 enodes) 1546424394.692 * * [misc]simplify: iters left: 4 (20 enodes) 1546424394.695 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424394.695 * [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)))))))) 1546424394.695 * * * * [misc]progress: [ 200 / 266 ] simplifiying candidate # 1546424394.695 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424394.695 * * [misc]simplify: iters left: 6 (14 enodes) 1546424394.697 * * [misc]simplify: iters left: 5 (19 enodes) 1546424394.700 * * [misc]simplify: iters left: 4 (22 enodes) 1546424394.705 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424394.705 * [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)))))))) 1546424394.705 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424394.706 * * [misc]simplify: iters left: 6 (14 enodes) 1546424394.709 * * [misc]simplify: iters left: 5 (17 enodes) 1546424394.714 * * [misc]simplify: iters left: 4 (20 enodes) 1546424394.717 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424394.717 * [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)))))))) 1546424394.717 * * * * [misc]progress: [ 201 / 266 ] simplifiying candidate # 1546424394.718 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546424394.718 * * [misc]simplify: iters left: 6 (13 enodes) 1546424394.720 * * [misc]simplify: iters left: 5 (21 enodes) 1546424394.722 * * [misc]simplify: iters left: 4 (28 enodes) 1546424394.726 * * [misc]simplify: iters left: 3 (36 enodes) 1546424394.734 * * [misc]simplify: iters left: 2 (62 enodes) 1546424394.743 * * [misc]simplify: iters left: 1 (94 enodes) 1546424394.759 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1546424394.760 * [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))))))) 1546424394.760 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424394.760 * * [misc]simplify: iters left: 6 (15 enodes) 1546424394.762 * * [misc]simplify: iters left: 5 (21 enodes) 1546424394.765 * * [misc]simplify: iters left: 4 (25 enodes) 1546424394.768 * * [misc]simplify: iters left: 3 (27 enodes) 1546424394.772 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424394.772 * [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)))))) 1546424394.772 * * * * [misc]progress: [ 202 / 266 ] simplifiying candidate # 1546424394.772 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546424394.772 * * [misc]simplify: iters left: 6 (13 enodes) 1546424394.774 * * [misc]simplify: iters left: 5 (21 enodes) 1546424394.778 * * [misc]simplify: iters left: 4 (28 enodes) 1546424394.785 * * [misc]simplify: iters left: 3 (36 enodes) 1546424394.795 * * [misc]simplify: iters left: 2 (62 enodes) 1546424394.813 * * [misc]simplify: iters left: 1 (94 enodes) 1546424394.841 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1546424394.841 * [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))))))) 1546424394.842 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424394.842 * * [misc]simplify: iters left: 6 (15 enodes) 1546424394.844 * * [misc]simplify: iters left: 5 (21 enodes) 1546424394.847 * * [misc]simplify: iters left: 4 (25 enodes) 1546424394.850 * * [misc]simplify: iters left: 3 (27 enodes) 1546424394.854 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424394.854 * [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)))))) 1546424394.854 * * * * [misc]progress: [ 203 / 266 ] simplifiying candidate # 1546424394.854 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546424394.854 * * [misc]simplify: iters left: 6 (14 enodes) 1546424394.856 * * [misc]simplify: iters left: 5 (22 enodes) 1546424394.859 * * [misc]simplify: iters left: 4 (32 enodes) 1546424394.864 * * [misc]simplify: iters left: 3 (55 enodes) 1546424394.880 * * [misc]simplify: iters left: 2 (97 enodes) 1546424394.901 * * [misc]simplify: iters left: 1 (209 enodes) 1546424394.970 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424394.970 * [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))))))) 1546424394.971 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424394.971 * * [misc]simplify: iters left: 6 (12 enodes) 1546424394.973 * * [misc]simplify: iters left: 5 (16 enodes) 1546424394.976 * * [misc]simplify: iters left: 4 (22 enodes) 1546424394.979 * * [misc]simplify: iters left: 3 (24 enodes) 1546424394.982 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546424394.982 * [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)))))) 1546424394.982 * * * * [misc]progress: [ 204 / 266 ] simplifiying candidate # 1546424394.982 * [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))))))) 1546424394.982 * * [misc]simplify: iters left: 6 (17 enodes) 1546424394.985 * * [misc]simplify: iters left: 5 (30 enodes) 1546424394.990 * * [misc]simplify: iters left: 4 (51 enodes) 1546424394.998 * * [misc]simplify: iters left: 3 (67 enodes) 1546424395.021 * * [misc]simplify: iters left: 2 (156 enodes) 1546424395.075 * * [misc]simplify: iters left: 1 (456 enodes) 1546424395.466 * [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)))) 1546424395.466 * [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)))))))) 1546424395.467 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424395.467 * * [misc]simplify: iters left: 6 (15 enodes) 1546424395.472 * * [misc]simplify: iters left: 5 (20 enodes) 1546424395.477 * * [misc]simplify: iters left: 4 (26 enodes) 1546424395.485 * * [misc]simplify: iters left: 3 (28 enodes) 1546424395.492 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424395.492 * [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))))))) 1546424395.492 * * * * [misc]progress: [ 205 / 266 ] simplifiying candidate # 1546424395.493 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424395.493 * * [misc]simplify: iters left: 6 (16 enodes) 1546424395.498 * * [misc]simplify: iters left: 5 (25 enodes) 1546424395.505 * * [misc]simplify: iters left: 4 (35 enodes) 1546424395.515 * * [misc]simplify: iters left: 3 (58 enodes) 1546424395.535 * * [misc]simplify: iters left: 2 (99 enodes) 1546424395.555 * * [misc]simplify: iters left: 1 (192 enodes) 1546424395.602 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546424395.602 * [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)))))))) 1546424395.602 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424395.602 * * [misc]simplify: iters left: 6 (15 enodes) 1546424395.604 * * [misc]simplify: iters left: 5 (20 enodes) 1546424395.607 * * [misc]simplify: iters left: 4 (26 enodes) 1546424395.611 * * [misc]simplify: iters left: 3 (28 enodes) 1546424395.614 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424395.614 * [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))))))) 1546424395.614 * * * * [misc]progress: [ 206 / 266 ] simplifiying candidate # 1546424395.615 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546424395.615 * * [misc]simplify: iters left: 6 (8 enodes) 1546424395.616 * * [misc]simplify: iters left: 5 (14 enodes) 1546424395.619 * * [misc]simplify: iters left: 4 (25 enodes) 1546424395.624 * * [misc]simplify: iters left: 3 (29 enodes) 1546424395.628 * * [misc]simplify: iters left: 2 (45 enodes) 1546424395.638 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546424395.638 * [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))))))) 1546424395.638 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424395.638 * * [misc]simplify: iters left: 6 (14 enodes) 1546424395.640 * * [misc]simplify: iters left: 5 (19 enodes) 1546424395.643 * * [misc]simplify: iters left: 4 (25 enodes) 1546424395.646 * * [misc]simplify: iters left: 3 (27 enodes) 1546424395.650 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1546424395.650 * [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)))))) 1546424395.650 * * * * [misc]progress: [ 207 / 266 ] simplifiying candidate # 1546424395.650 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546424395.650 * * [misc]simplify: iters left: 6 (12 enodes) 1546424395.652 * * [misc]simplify: iters left: 5 (18 enodes) 1546424395.654 * * [misc]simplify: iters left: 4 (21 enodes) 1546424395.657 * * [misc]simplify: iters left: 3 (23 enodes) 1546424395.660 * * [misc]simplify: iters left: 2 (35 enodes) 1546424395.664 * * [misc]simplify: iters left: 1 (43 enodes) 1546424395.670 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546424395.671 * [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))))))) 1546424395.671 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424395.671 * * [misc]simplify: iters left: 6 (15 enodes) 1546424395.676 * * [misc]simplify: iters left: 5 (21 enodes) 1546424395.682 * * [misc]simplify: iters left: 4 (25 enodes) 1546424395.689 * * [misc]simplify: iters left: 3 (27 enodes) 1546424395.694 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424395.694 * [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)))))) 1546424395.694 * * * * [misc]progress: [ 208 / 266 ] simplifiying candidate # 1546424395.694 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546424395.694 * * [misc]simplify: iters left: 6 (12 enodes) 1546424395.696 * * [misc]simplify: iters left: 5 (18 enodes) 1546424395.698 * * [misc]simplify: iters left: 4 (21 enodes) 1546424395.701 * * [misc]simplify: iters left: 3 (23 enodes) 1546424395.705 * * [misc]simplify: iters left: 2 (35 enodes) 1546424395.709 * * [misc]simplify: iters left: 1 (43 enodes) 1546424395.714 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546424395.714 * [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))))))) 1546424395.714 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546424395.714 * * [misc]simplify: iters left: 6 (15 enodes) 1546424395.717 * * [misc]simplify: iters left: 5 (21 enodes) 1546424395.720 * * [misc]simplify: iters left: 4 (25 enodes) 1546424395.723 * * [misc]simplify: iters left: 3 (27 enodes) 1546424395.727 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546424395.727 * [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)))))) 1546424395.727 * * * * [misc]progress: [ 209 / 266 ] simplifiying candidate # 1546424395.728 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546424395.728 * * [misc]simplify: iters left: 6 (13 enodes) 1546424395.730 * * [misc]simplify: iters left: 5 (19 enodes) 1546424395.732 * * [misc]simplify: iters left: 4 (25 enodes) 1546424395.736 * * [misc]simplify: iters left: 3 (34 enodes) 1546424395.741 * * [misc]simplify: iters left: 2 (44 enodes) 1546424395.746 * * [misc]simplify: iters left: 1 (59 enodes) 1546424395.754 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546424395.755 * [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))))))) 1546424395.755 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546424395.755 * * [misc]simplify: iters left: 6 (12 enodes) 1546424395.758 * * [misc]simplify: iters left: 5 (16 enodes) 1546424395.763 * * [misc]simplify: iters left: 4 (22 enodes) 1546424395.769 * * [misc]simplify: iters left: 3 (24 enodes) 1546424395.773 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546424395.773 * [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)))))) 1546424395.773 * * * * [misc]progress: [ 210 / 266 ] simplifiying candidate # 1546424395.774 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424395.774 * * [misc]simplify: iters left: 6 (16 enodes) 1546424395.776 * * [misc]simplify: iters left: 5 (25 enodes) 1546424395.780 * * [misc]simplify: iters left: 4 (33 enodes) 1546424395.784 * * [misc]simplify: iters left: 3 (41 enodes) 1546424395.790 * * [misc]simplify: iters left: 2 (64 enodes) 1546424395.801 * * [misc]simplify: iters left: 1 (95 enodes) 1546424395.815 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546424395.815 * [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)))))))) 1546424395.815 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424395.816 * * [misc]simplify: iters left: 6 (15 enodes) 1546424395.818 * * [misc]simplify: iters left: 5 (20 enodes) 1546424395.820 * * [misc]simplify: iters left: 4 (26 enodes) 1546424395.824 * * [misc]simplify: iters left: 3 (28 enodes) 1546424395.828 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424395.828 * [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))))))) 1546424395.828 * * * * [misc]progress: [ 211 / 266 ] simplifiying candidate # 1546424395.828 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424395.828 * * [misc]simplify: iters left: 6 (15 enodes) 1546424395.830 * * [misc]simplify: iters left: 5 (22 enodes) 1546424395.833 * * [misc]simplify: iters left: 4 (28 enodes) 1546424395.839 * * [misc]simplify: iters left: 3 (37 enodes) 1546424395.851 * * [misc]simplify: iters left: 2 (47 enodes) 1546424395.863 * * [misc]simplify: iters left: 1 (62 enodes) 1546424395.880 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546424395.880 * [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)))))))) 1546424395.881 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424395.881 * * [misc]simplify: iters left: 6 (15 enodes) 1546424395.886 * * [misc]simplify: iters left: 5 (20 enodes) 1546424395.892 * * [misc]simplify: iters left: 4 (26 enodes) 1546424395.899 * * [misc]simplify: iters left: 3 (28 enodes) 1546424395.908 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424395.908 * [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))))))) 1546424395.908 * * * * [misc]progress: [ 212 / 266 ] simplifiying candidate # 1546424395.908 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1546424395.908 * * [misc]simplify: iters left: 6 (7 enodes) 1546424395.910 * * [misc]simplify: iters left: 5 (11 enodes) 1546424395.914 * * [misc]simplify: iters left: 4 (17 enodes) 1546424395.918 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546424395.918 * [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))))))) 1546424395.918 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424395.918 * * [misc]simplify: iters left: 6 (14 enodes) 1546424395.922 * * [misc]simplify: iters left: 5 (19 enodes) 1546424395.928 * * [misc]simplify: iters left: 4 (25 enodes) 1546424395.936 * * [misc]simplify: iters left: 3 (27 enodes) 1546424395.943 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1546424395.944 * [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)))))) 1546424395.944 * * * * [misc]progress: [ 213 / 266 ] simplifiying candidate # 1546424395.944 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1546424395.944 * * [misc]simplify: iters left: 6 (9 enodes) 1546424395.949 * * [misc]simplify: iters left: 5 (15 enodes) 1546424395.952 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546424395.952 * [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))))))) 1546424395.952 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424395.953 * * [misc]simplify: iters left: 6 (14 enodes) 1546424395.957 * * [misc]simplify: iters left: 5 (20 enodes) 1546424395.963 * * [misc]simplify: iters left: 4 (24 enodes) 1546424395.970 * * [misc]simplify: iters left: 3 (26 enodes) 1546424395.977 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546424395.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1546424395.977 * * * * [misc]progress: [ 214 / 266 ] simplifiying candidate # 1546424395.977 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1546424395.978 * * [misc]simplify: iters left: 6 (9 enodes) 1546424395.981 * * [misc]simplify: iters left: 5 (15 enodes) 1546424395.985 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546424395.985 * [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))))))) 1546424395.986 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546424395.986 * * [misc]simplify: iters left: 6 (14 enodes) 1546424395.990 * * [misc]simplify: iters left: 5 (20 enodes) 1546424395.996 * * [misc]simplify: iters left: 4 (24 enodes) 1546424396.003 * * [misc]simplify: iters left: 3 (26 enodes) 1546424396.011 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546424396.011 * [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)))) 1546424396.011 * * * * [misc]progress: [ 215 / 266 ] simplifiying candidate # 1546424396.011 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1546424396.011 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.015 * * [misc]simplify: iters left: 5 (17 enodes) 1546424396.020 * * [misc]simplify: iters left: 4 (20 enodes) 1546424396.025 * * [misc]simplify: iters left: 3 (24 enodes) 1546424396.030 * * [misc]simplify: iters left: 2 (26 enodes) 1546424396.036 * * [misc]simplify: iters left: 1 (28 enodes) 1546424396.043 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546424396.043 * [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))))))) 1546424396.043 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546424396.044 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.047 * * [misc]simplify: iters left: 5 (15 enodes) 1546424396.052 * * [misc]simplify: iters left: 4 (21 enodes) 1546424396.057 * * [misc]simplify: iters left: 3 (23 enodes) 1546424396.064 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546424396.064 * [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))))))) 1546424396.064 * * * * [misc]progress: [ 216 / 266 ] simplifiying candidate # 1546424396.064 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424396.064 * * [misc]simplify: iters left: 6 (14 enodes) 1546424396.071 * * [misc]simplify: iters left: 5 (23 enodes) 1546424396.077 * * [misc]simplify: iters left: 4 (26 enodes) 1546424396.084 * * [misc]simplify: iters left: 3 (31 enodes) 1546424396.090 * * [misc]simplify: iters left: 2 (34 enodes) 1546424396.095 * * [misc]simplify: iters left: 1 (48 enodes) 1546424396.102 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.102 * [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)))))))) 1546424396.102 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424396.102 * * [misc]simplify: iters left: 6 (14 enodes) 1546424396.104 * * [misc]simplify: iters left: 5 (19 enodes) 1546424396.107 * * [misc]simplify: iters left: 4 (25 enodes) 1546424396.110 * * [misc]simplify: iters left: 3 (27 enodes) 1546424396.113 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.113 * [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))))))) 1546424396.114 * * * * [misc]progress: [ 217 / 266 ] simplifiying candidate # 1546424396.114 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424396.114 * * [misc]simplify: iters left: 6 (13 enodes) 1546424396.116 * * [misc]simplify: iters left: 5 (20 enodes) 1546424396.119 * * [misc]simplify: iters left: 4 (23 enodes) 1546424396.122 * * [misc]simplify: iters left: 3 (27 enodes) 1546424396.126 * * [misc]simplify: iters left: 2 (29 enodes) 1546424396.133 * * [misc]simplify: iters left: 1 (31 enodes) 1546424396.141 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.141 * [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)))))))) 1546424396.142 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424396.142 * * [misc]simplify: iters left: 6 (14 enodes) 1546424396.147 * * [misc]simplify: iters left: 5 (19 enodes) 1546424396.152 * * [misc]simplify: iters left: 4 (25 enodes) 1546424396.160 * * [misc]simplify: iters left: 3 (27 enodes) 1546424396.167 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.167 * [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))))))) 1546424396.167 * * * * [misc]progress: [ 218 / 266 ] simplifiying candidate # 1546424396.168 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1546424396.168 * * [misc]simplify: iters left: 4 (3 enodes) 1546424396.169 * * [misc]simplify: iters left: 3 (5 enodes) 1546424396.170 * [exit]simplify: Simplified to 1 1546424396.170 * [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))))))) 1546424396.170 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.170 * * [misc]simplify: iters left: 6 (13 enodes) 1546424396.174 * * [misc]simplify: iters left: 5 (18 enodes) 1546424396.180 * * [misc]simplify: iters left: 4 (24 enodes) 1546424396.188 * * [misc]simplify: iters left: 3 (26 enodes) 1546424396.196 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546424396.196 * [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)))) 1546424396.196 * * * * [misc]progress: [ 219 / 266 ] simplifiying candidate # 1546424396.197 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1546424396.197 * * [misc]simplify: iters left: 4 (3 enodes) 1546424396.198 * * [misc]simplify: iters left: 3 (5 enodes) 1546424396.199 * [exit]simplify: Simplified to 1 1546424396.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424396.199 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.199 * * [misc]simplify: iters left: 6 (13 enodes) 1546424396.203 * * [misc]simplify: iters left: 5 (18 enodes) 1546424396.208 * * [misc]simplify: iters left: 4 (24 enodes) 1546424396.215 * * [misc]simplify: iters left: 3 (26 enodes) 1546424396.222 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546424396.222 * [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)))) 1546424396.222 * * * * [misc]progress: [ 220 / 266 ] simplifiying candidate # 1546424396.222 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1546424396.223 * * [misc]simplify: iters left: 4 (5 enodes) 1546424396.224 * * [misc]simplify: iters left: 3 (7 enodes) 1546424396.226 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546424396.226 * [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))))))) 1546424396.226 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.226 * * [misc]simplify: iters left: 6 (13 enodes) 1546424396.230 * * [misc]simplify: iters left: 5 (20 enodes) 1546424396.236 * * [misc]simplify: iters left: 4 (26 enodes) 1546424396.245 * * [misc]simplify: iters left: 3 (36 enodes) 1546424396.254 * * [misc]simplify: iters left: 2 (38 enodes) 1546424396.262 * * [misc]simplify: iters left: 1 (43 enodes) 1546424396.272 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546424396.272 * [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)))))) 1546424396.272 * * * * [misc]progress: [ 221 / 266 ] simplifiying candidate # 1546424396.273 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1546424396.273 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.277 * * [misc]simplify: iters left: 5 (17 enodes) 1546424396.281 * * [misc]simplify: iters left: 4 (20 enodes) 1546424396.285 * * [misc]simplify: iters left: 3 (22 enodes) 1546424396.292 * * [misc]simplify: iters left: 2 (34 enodes) 1546424396.300 * * [misc]simplify: iters left: 1 (42 enodes) 1546424396.308 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546424396.308 * [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))))) 1546424396.308 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1546424396.308 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.311 * * [misc]simplify: iters left: 5 (14 enodes) 1546424396.315 * * [misc]simplify: iters left: 4 (17 enodes) 1546424396.319 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546424396.319 * [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))))) 1546424396.319 * * * * [misc]progress: [ 222 / 266 ] simplifiying candidate # 1546424396.319 * * * * [misc]progress: [ 223 / 266 ] simplifiying candidate # 1546424396.319 * * * * [misc]progress: [ 224 / 266 ] simplifiying candidate # 1546424396.319 * * * * [misc]progress: [ 225 / 266 ] simplifiying candidate # 1546424396.320 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.320 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.323 * * [misc]simplify: iters left: 5 (14 enodes) 1546424396.326 * * [misc]simplify: iters left: 4 (17 enodes) 1546424396.330 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.331 * [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))))))) 1546424396.331 * * * * [misc]progress: [ 226 / 266 ] simplifiying candidate # 1546424396.331 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.331 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.335 * * [misc]simplify: iters left: 5 (14 enodes) 1546424396.339 * * [misc]simplify: iters left: 4 (17 enodes) 1546424396.344 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.344 * [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))))))) 1546424396.344 * * * * [misc]progress: [ 227 / 266 ] simplifiying candidate # 1546424396.345 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424396.345 * * [misc]simplify: iters left: 6 (10 enodes) 1546424396.348 * * [misc]simplify: iters left: 5 (13 enodes) 1546424396.349 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424396.349 * [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))))) 1546424396.349 * * * * [misc]progress: [ 228 / 266 ] simplifiying candidate # 1546424396.350 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424396.350 * * [misc]simplify: iters left: 6 (10 enodes) 1546424396.351 * * [misc]simplify: iters left: 5 (13 enodes) 1546424396.353 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424396.353 * [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))))) 1546424396.353 * * * * [misc]progress: [ 229 / 266 ] simplifiying candidate # 1546424396.353 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424396.353 * * [misc]simplify: iters left: 6 (9 enodes) 1546424396.354 * * [misc]simplify: iters left: 5 (11 enodes) 1546424396.356 * * [misc]simplify: iters left: 4 (14 enodes) 1546424396.358 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424396.358 * [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)))))) 1546424396.358 * * * * [misc]progress: [ 230 / 266 ] simplifiying candidate # 1546424396.358 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.358 * * [misc]simplify: iters left: 6 (12 enodes) 1546424396.360 * * [misc]simplify: iters left: 5 (15 enodes) 1546424396.362 * * [misc]simplify: iters left: 4 (18 enodes) 1546424396.364 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.364 * [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))))))) 1546424396.364 * * * * [misc]progress: [ 231 / 266 ] simplifiying candidate # 1546424396.365 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.365 * * [misc]simplify: iters left: 6 (12 enodes) 1546424396.366 * * [misc]simplify: iters left: 5 (15 enodes) 1546424396.368 * * [misc]simplify: iters left: 4 (18 enodes) 1546424396.371 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.371 * [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))))))) 1546424396.371 * * * * [misc]progress: [ 232 / 266 ] simplifiying candidate # 1546424396.371 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.371 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.373 * * [misc]simplify: iters left: 5 (14 enodes) 1546424396.375 * * [misc]simplify: iters left: 4 (17 enodes) 1546424396.379 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.379 * [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)))))) 1546424396.379 * * * * [misc]progress: [ 233 / 266 ] simplifiying candidate # 1546424396.379 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424396.379 * * [misc]simplify: iters left: 6 (10 enodes) 1546424396.382 * * [misc]simplify: iters left: 5 (13 enodes) 1546424396.386 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424396.386 * [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))))) 1546424396.386 * * * * [misc]progress: [ 234 / 266 ] simplifiying candidate # 1546424396.387 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424396.387 * * [misc]simplify: iters left: 6 (10 enodes) 1546424396.390 * * [misc]simplify: iters left: 5 (13 enodes) 1546424396.394 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424396.394 * [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))))) 1546424396.394 * * * * [misc]progress: [ 235 / 266 ] simplifiying candidate # 1546424396.394 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424396.394 * * [misc]simplify: iters left: 6 (9 enodes) 1546424396.397 * * [misc]simplify: iters left: 5 (11 enodes) 1546424396.401 * * [misc]simplify: iters left: 4 (14 enodes) 1546424396.405 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424396.405 * [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)))))) 1546424396.405 * * * * [misc]progress: [ 236 / 266 ] simplifiying candidate # 1546424396.405 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.405 * * [misc]simplify: iters left: 6 (12 enodes) 1546424396.409 * * [misc]simplify: iters left: 5 (15 enodes) 1546424396.413 * * [misc]simplify: iters left: 4 (18 enodes) 1546424396.419 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.419 * [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))))))) 1546424396.419 * * * * [misc]progress: [ 237 / 266 ] simplifiying candidate # 1546424396.419 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.419 * * [misc]simplify: iters left: 6 (12 enodes) 1546424396.423 * * [misc]simplify: iters left: 5 (15 enodes) 1546424396.427 * * [misc]simplify: iters left: 4 (18 enodes) 1546424396.433 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.433 * [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))))))) 1546424396.433 * * * * [misc]progress: [ 238 / 266 ] simplifiying candidate # 1546424396.433 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.433 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.437 * * [misc]simplify: iters left: 5 (14 enodes) 1546424396.441 * * [misc]simplify: iters left: 4 (17 enodes) 1546424396.446 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.446 * [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)))))) 1546424396.446 * * * * [misc]progress: [ 239 / 266 ] simplifiying candidate # 1546424396.446 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546424396.447 * * [misc]simplify: iters left: 6 (9 enodes) 1546424396.449 * * [misc]simplify: iters left: 5 (12 enodes) 1546424396.453 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546424396.453 * [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))))) 1546424396.453 * * * * [misc]progress: [ 240 / 266 ] simplifiying candidate # 1546424396.453 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546424396.453 * * [misc]simplify: iters left: 6 (9 enodes) 1546424396.456 * * [misc]simplify: iters left: 5 (12 enodes) 1546424396.461 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546424396.461 * [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))))) 1546424396.461 * * * * [misc]progress: [ 241 / 266 ] simplifiying candidate # 1546424396.461 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546424396.461 * * [misc]simplify: iters left: 6 (8 enodes) 1546424396.464 * * [misc]simplify: iters left: 5 (10 enodes) 1546424396.467 * * [misc]simplify: iters left: 4 (13 enodes) 1546424396.470 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546424396.470 * [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)))))) 1546424396.470 * * * * [misc]progress: [ 242 / 266 ] simplifiying candidate # 1546424396.471 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.471 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.474 * * [misc]simplify: iters left: 5 (14 enodes) 1546424396.478 * * [misc]simplify: iters left: 4 (17 enodes) 1546424396.483 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.483 * [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))))))) 1546424396.483 * * * * [misc]progress: [ 243 / 266 ] simplifiying candidate # 1546424396.483 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.483 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.487 * * [misc]simplify: iters left: 5 (14 enodes) 1546424396.491 * * [misc]simplify: iters left: 4 (17 enodes) 1546424396.496 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424396.496 * [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))))))) 1546424396.496 * * * * [misc]progress: [ 244 / 266 ] simplifiying candidate # 1546424396.497 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.497 * * [misc]simplify: iters left: 6 (10 enodes) 1546424396.500 * * [misc]simplify: iters left: 5 (13 enodes) 1546424396.503 * * [misc]simplify: iters left: 4 (16 enodes) 1546424396.508 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.508 * [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)))))) 1546424396.508 * * * * [misc]progress: [ 245 / 266 ] simplifiying candidate # 1546424396.508 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.508 * * [misc]simplify: iters left: 6 (10 enodes) 1546424396.511 * * [misc]simplify: iters left: 5 (13 enodes) 1546424396.515 * * [misc]simplify: iters left: 4 (16 enodes) 1546424396.520 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.520 * [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)))))) 1546424396.520 * * * * [misc]progress: [ 246 / 266 ] simplifiying candidate # 1546424396.521 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1546424396.521 * * [misc]simplify: iters left: 6 (10 enodes) 1546424396.524 * * [misc]simplify: iters left: 5 (15 enodes) 1546424396.528 * * [misc]simplify: iters left: 4 (18 enodes) 1546424396.533 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1546424396.533 * [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)))))) 1546424396.533 * * * * [misc]progress: [ 247 / 266 ] simplifiying candidate # 1546424396.533 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546424396.533 * * [misc]simplify: iters left: 3 (6 enodes) 1546424396.535 * * [misc]simplify: iters left: 2 (7 enodes) 1546424396.537 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546424396.537 * [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)))) 1546424396.538 * * * * [misc]progress: [ 248 / 266 ] simplifiying candidate # 1546424396.538 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1546424396.538 * * [misc]simplify: iters left: 6 (12 enodes) 1546424396.542 * * [misc]simplify: iters left: 5 (18 enodes) 1546424396.547 * * [misc]simplify: iters left: 4 (22 enodes) 1546424396.553 * * [misc]simplify: iters left: 3 (26 enodes) 1546424396.559 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546424396.560 * [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))))))))) 1546424396.560 * * * * [misc]progress: [ 249 / 266 ] simplifiying candidate # 1546424396.560 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1546424396.560 * * [misc]simplify: iters left: 6 (11 enodes) 1546424396.564 * * [misc]simplify: iters left: 5 (17 enodes) 1546424396.569 * * [misc]simplify: iters left: 4 (21 enodes) 1546424396.574 * * [misc]simplify: iters left: 3 (25 enodes) 1546424396.579 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546424396.579 * [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))))))))) 1546424396.579 * * * * [misc]progress: [ 250 / 266 ] simplifiying candidate # 1546424396.579 * * * * [misc]progress: [ 251 / 266 ] simplifiying candidate # 1546424396.579 * * * * [misc]progress: [ 252 / 266 ] simplifiying candidate # 1546424396.580 * [enter]simplify: Simplifying (/ 1 1) 1546424396.580 * * [misc]simplify: iters left: 2 (2 enodes) 1546424396.580 * * [misc]simplify: iters left: 1 (4 enodes) 1546424396.581 * [exit]simplify: Simplified to 1 1546424396.581 * [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)))))) 1546424396.581 * * * * [misc]progress: [ 253 / 266 ] simplifiying candidate # 1546424396.581 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546424396.581 * * [misc]simplify: iters left: 5 (8 enodes) 1546424396.584 * * [misc]simplify: iters left: 4 (11 enodes) 1546424396.587 * * [misc]simplify: iters left: 3 (14 enodes) 1546424396.591 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546424396.591 * [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))))) 1546424396.591 * * * * [misc]progress: [ 254 / 266 ] simplifiying candidate # 1546424396.591 * * * * [misc]progress: [ 255 / 266 ] simplifiying candidate # 1546424396.592 * [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)))) 1546424396.592 * * [misc]simplify: iters left: 6 (18 enodes) 1546424396.598 * * [misc]simplify: iters left: 5 (39 enodes) 1546424396.614 * * [misc]simplify: iters left: 4 (110 enodes) 1546424396.639 * * [misc]simplify: iters left: 3 (321 enodes) 1546424396.860 * [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))) 1546424396.860 * [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)))))) 1546424396.860 * * * * [misc]progress: [ 256 / 266 ] simplifiying candidate # 1546424396.860 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546424396.860 * * [misc]simplify: iters left: 5 (6 enodes) 1546424396.861 * * [misc]simplify: iters left: 4 (9 enodes) 1546424396.863 * * [misc]simplify: iters left: 3 (17 enodes) 1546424396.866 * * [misc]simplify: iters left: 2 (24 enodes) 1546424396.868 * * [misc]simplify: iters left: 1 (28 enodes) 1546424396.874 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1546424396.875 * [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)))))) 1546424396.875 * * * * [misc]progress: [ 257 / 266 ] simplifiying candidate # 1546424396.875 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546424396.875 * * [misc]simplify: iters left: 5 (6 enodes) 1546424396.876 * * [misc]simplify: iters left: 4 (9 enodes) 1546424396.878 * * [misc]simplify: iters left: 3 (17 enodes) 1546424396.881 * * [misc]simplify: iters left: 2 (24 enodes) 1546424396.883 * * [misc]simplify: iters left: 1 (28 enodes) 1546424396.892 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1546424396.892 * [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)))))) 1546424396.892 * * * * [misc]progress: [ 258 / 266 ] simplifiying candidate # 1546424396.892 * [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))))) 1546424396.892 * * [misc]simplify: iters left: 6 (35 enodes) 1546424396.900 * * [misc]simplify: iters left: 5 (102 enodes) 1546424396.936 * * [misc]simplify: iters left: 4 (321 enodes) 1546424397.089 * [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)))))) 1546424397.089 * [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))))))))) 1546424397.089 * * * * [misc]progress: [ 259 / 266 ] simplifiying candidate # 1546424397.089 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1546424397.089 * * [misc]simplify: iters left: 6 (13 enodes) 1546424397.092 * * [misc]simplify: iters left: 5 (27 enodes) 1546424397.096 * * [misc]simplify: iters left: 4 (53 enodes) 1546424397.106 * * [misc]simplify: iters left: 3 (124 enodes) 1546424397.144 * * [misc]simplify: iters left: 2 (394 enodes) 1546424397.607 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1546424397.607 * [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))))) 1546424397.607 * * * * [misc]progress: [ 260 / 266 ] simplifiying candidate # 1546424397.607 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1546424397.607 * * [misc]simplify: iters left: 6 (13 enodes) 1546424397.610 * * [misc]simplify: iters left: 5 (24 enodes) 1546424397.618 * * [misc]simplify: iters left: 4 (54 enodes) 1546424397.640 * * [misc]simplify: iters left: 3 (151 enodes) 1546424397.728 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1546424397.728 * [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))))))) 1546424397.728 * * * * [misc]progress: [ 261 / 266 ] simplifiying candidate # 1546424397.729 * [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)))))))))))) 1546424397.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546424397.729 * * * * [misc]progress: [ 262 / 266 ] simplifiying candidate # 1546424397.729 * [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))))))))))) 1546424397.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546424397.729 * * * * [misc]progress: [ 263 / 266 ] simplifiying candidate # 1546424397.730 * [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))))))))) 1546424397.730 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546424397.730 * * * * [misc]progress: [ 264 / 266 ] simplifiying candidate # 1546424397.730 * [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))))))))))))))) 1546424397.730 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546424397.730 * * * * [misc]progress: [ 265 / 266 ] simplifiying candidate # 1546424397.730 * [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)))))))) 1546424397.730 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546424397.730 * * * * [misc]progress: [ 266 / 266 ] simplifiying candidate # 1546424397.731 * [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)))))))) 1546424397.731 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546424397.731 * * * [misc]progress: adding candidates to table 1546424401.448 * * [misc]progress: iteration 4 / 4 1546424401.448 * * * [misc]progress: picking best candidate 1546424401.485 * * * * [misc]pick: Picked # 1546424401.485 * * * [misc]progress: localizing error 1546424401.498 * * * [misc]progress: generating rewritten candidates 1546424401.498 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1546424401.500 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2) 1546424401.503 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1546424401.511 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1546424401.516 * * * [misc]progress: generating series expansions 1546424401.516 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1546424401.517 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1546424401.517 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1546424401.517 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546424401.517 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546424401.517 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546424401.517 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424401.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.517 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424401.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.517 * [misc]taylor: Taking taylor expansion of k in k 1546424401.517 * [misc]backup-simplify: Simplify 0 into 0 1546424401.517 * [misc]backup-simplify: Simplify 1 into 1 1546424401.517 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424401.517 * [misc]taylor: Taking taylor expansion of PI in k 1546424401.517 * [misc]backup-simplify: Simplify PI into PI 1546424401.517 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424401.517 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424401.518 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.518 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.518 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424401.518 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546424401.518 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546424401.518 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546424401.518 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546424401.518 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424401.518 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.518 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424401.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.519 * [misc]taylor: Taking taylor expansion of k in k 1546424401.519 * [misc]backup-simplify: Simplify 0 into 0 1546424401.519 * [misc]backup-simplify: Simplify 1 into 1 1546424401.519 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424401.519 * [misc]taylor: Taking taylor expansion of PI in k 1546424401.519 * [misc]backup-simplify: Simplify PI into PI 1546424401.519 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424401.519 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424401.519 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.519 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.519 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424401.520 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546424401.520 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1546424401.521 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546424401.522 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424401.522 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.522 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.522 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546424401.524 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546424401.525 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1546424401.527 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546424401.527 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424401.527 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.528 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.528 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546424401.531 * [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))) 1546424401.532 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1546424401.533 * [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)))) 1546424401.533 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.533 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1546424401.533 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424401.533 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546424401.533 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546424401.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424401.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.534 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.534 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.534 * [misc]taylor: Taking taylor expansion of k in k 1546424401.534 * [misc]backup-simplify: Simplify 0 into 0 1546424401.534 * [misc]backup-simplify: Simplify 1 into 1 1546424401.534 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.534 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424401.534 * [misc]taylor: Taking taylor expansion of PI in k 1546424401.534 * [misc]backup-simplify: Simplify PI into PI 1546424401.534 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424401.534 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.534 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.534 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.535 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546424401.535 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.535 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424401.535 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546424401.535 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546424401.535 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424401.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.535 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.535 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.535 * [misc]taylor: Taking taylor expansion of k in k 1546424401.535 * [misc]backup-simplify: Simplify 0 into 0 1546424401.535 * [misc]backup-simplify: Simplify 1 into 1 1546424401.535 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.535 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424401.535 * [misc]taylor: Taking taylor expansion of PI in k 1546424401.535 * [misc]backup-simplify: Simplify PI into PI 1546424401.536 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424401.536 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.536 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.536 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.536 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546424401.536 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.536 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.537 * [misc]backup-simplify: Simplify 0 into 0 1546424401.537 * [misc]backup-simplify: Simplify 0 into 0 1546424401.537 * [misc]backup-simplify: Simplify 0 into 0 1546424401.537 * [misc]backup-simplify: Simplify 0 into 0 1546424401.537 * [misc]backup-simplify: Simplify 0 into 0 1546424401.537 * [misc]backup-simplify: Simplify 0 into 0 1546424401.537 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1546424401.537 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.537 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1546424401.537 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424401.537 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546424401.537 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546424401.537 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424401.537 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.537 * [misc]taylor: Taking taylor expansion of k in k 1546424401.537 * [misc]backup-simplify: Simplify 0 into 0 1546424401.537 * [misc]backup-simplify: Simplify 1 into 1 1546424401.537 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.537 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424401.537 * [misc]taylor: Taking taylor expansion of PI in k 1546424401.537 * [misc]backup-simplify: Simplify PI into PI 1546424401.537 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424401.538 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.538 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.538 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424401.538 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.538 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424401.538 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546424401.538 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546424401.538 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424401.538 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.538 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.538 * [misc]taylor: Taking taylor expansion of k in k 1546424401.538 * [misc]backup-simplify: Simplify 0 into 0 1546424401.538 * [misc]backup-simplify: Simplify 1 into 1 1546424401.539 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.539 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546424401.539 * [misc]taylor: Taking taylor expansion of PI in k 1546424401.539 * [misc]backup-simplify: Simplify PI into PI 1546424401.539 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546424401.539 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.539 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.539 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546424401.540 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.540 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.540 * [misc]backup-simplify: Simplify 0 into 0 1546424401.540 * [misc]backup-simplify: Simplify 0 into 0 1546424401.540 * [misc]backup-simplify: Simplify 0 into 0 1546424401.540 * [misc]backup-simplify: Simplify 0 into 0 1546424401.540 * [misc]backup-simplify: Simplify 0 into 0 1546424401.540 * [misc]backup-simplify: Simplify 0 into 0 1546424401.540 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1546424401.540 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2) 1546424401.540 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1546424401.540 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1546424401.540 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424401.540 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424401.540 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424401.540 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424401.540 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.540 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424401.540 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.540 * [misc]taylor: Taking taylor expansion of k in k 1546424401.540 * [misc]backup-simplify: Simplify 0 into 0 1546424401.540 * [misc]backup-simplify: Simplify 1 into 1 1546424401.540 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424401.540 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424401.540 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.540 * [misc]backup-simplify: Simplify 2 into 2 1546424401.540 * [misc]taylor: Taking taylor expansion of n in k 1546424401.540 * [misc]backup-simplify: Simplify n into n 1546424401.541 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424401.541 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424401.541 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424401.541 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.541 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.541 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424401.541 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424401.541 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546424401.541 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546424401.541 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546424401.541 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424401.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.541 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424401.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.541 * [misc]taylor: Taking taylor expansion of k in n 1546424401.541 * [misc]backup-simplify: Simplify k into k 1546424401.541 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424401.541 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424401.541 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.541 * [misc]backup-simplify: Simplify 2 into 2 1546424401.541 * [misc]taylor: Taking taylor expansion of n in n 1546424401.541 * [misc]backup-simplify: Simplify 0 into 0 1546424401.541 * [misc]backup-simplify: Simplify 1 into 1 1546424401.541 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424401.542 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424401.542 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.542 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424401.542 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424401.542 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424401.542 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.542 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546424401.542 * [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)))) 1546424401.542 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546424401.542 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546424401.542 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546424401.542 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424401.542 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.543 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424401.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.543 * [misc]taylor: Taking taylor expansion of k in n 1546424401.543 * [misc]backup-simplify: Simplify k into k 1546424401.543 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424401.543 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424401.543 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.543 * [misc]backup-simplify: Simplify 2 into 2 1546424401.543 * [misc]taylor: Taking taylor expansion of n in n 1546424401.543 * [misc]backup-simplify: Simplify 0 into 0 1546424401.543 * [misc]backup-simplify: Simplify 1 into 1 1546424401.543 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424401.543 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424401.543 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.543 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424401.543 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424401.543 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424401.544 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.544 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546424401.544 * [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)))) 1546424401.544 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1546424401.545 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1546424401.545 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1546424401.545 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546424401.545 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.545 * [misc]backup-simplify: Simplify 2 into 2 1546424401.545 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.545 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424401.545 * [misc]taylor: Taking taylor expansion of n in k 1546424401.545 * [misc]backup-simplify: Simplify n into n 1546424401.545 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424401.545 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424401.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.545 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424401.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.545 * [misc]taylor: Taking taylor expansion of k in k 1546424401.545 * [misc]backup-simplify: Simplify 0 into 0 1546424401.545 * [misc]backup-simplify: Simplify 1 into 1 1546424401.545 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1546424401.546 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424401.546 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.546 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.546 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1546424401.549 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546424401.550 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546424401.550 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546424401.553 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424401.553 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546424401.553 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.553 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.554 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.554 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1546424401.555 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424401.555 * [misc]taylor: Taking taylor expansion of 0 in k 1546424401.555 * [misc]backup-simplify: Simplify 0 into 0 1546424401.556 * [misc]backup-simplify: Simplify 0 into 0 1546424401.556 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424401.556 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.556 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.558 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424401.559 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546424401.559 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.560 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1546424401.561 * [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))))) 1546424401.561 * [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))))) 1546424401.562 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546424401.566 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546424401.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546424401.566 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.567 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.567 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1546424401.569 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546424401.569 * [misc]taylor: Taking taylor expansion of 0 in k 1546424401.569 * [misc]backup-simplify: Simplify 0 into 0 1546424401.569 * [misc]backup-simplify: Simplify 0 into 0 1546424401.569 * [misc]backup-simplify: Simplify 0 into 0 1546424401.570 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424401.570 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.570 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.574 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546424401.576 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546424401.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.576 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1546424401.577 * [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))))) 1546424401.578 * [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))))) 1546424401.579 * [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))))) 1546424401.580 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.580 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546424401.580 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424401.580 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424401.580 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424401.580 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424401.580 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.580 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.580 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.580 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.580 * [misc]taylor: Taking taylor expansion of k in k 1546424401.580 * [misc]backup-simplify: Simplify 0 into 0 1546424401.580 * [misc]backup-simplify: Simplify 1 into 1 1546424401.580 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.580 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424401.580 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424401.580 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.580 * [misc]backup-simplify: Simplify 2 into 2 1546424401.580 * [misc]taylor: Taking taylor expansion of n in k 1546424401.580 * [misc]backup-simplify: Simplify n into n 1546424401.580 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424401.580 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424401.580 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.580 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.581 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.581 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424401.581 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.581 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.581 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.581 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.581 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.581 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.581 * [misc]taylor: Taking taylor expansion of k in n 1546424401.581 * [misc]backup-simplify: Simplify k into k 1546424401.581 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.581 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.581 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.581 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.581 * [misc]backup-simplify: Simplify 2 into 2 1546424401.581 * [misc]taylor: Taking taylor expansion of n in n 1546424401.581 * [misc]backup-simplify: Simplify 0 into 0 1546424401.581 * [misc]backup-simplify: Simplify 1 into 1 1546424401.581 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.581 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.581 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.581 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.581 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.582 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.582 * [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))) 1546424401.582 * [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)))) 1546424401.582 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.582 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.582 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.582 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.582 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.582 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.582 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.582 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.582 * [misc]taylor: Taking taylor expansion of k in n 1546424401.582 * [misc]backup-simplify: Simplify k into k 1546424401.582 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.582 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.582 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.582 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.582 * [misc]backup-simplify: Simplify 2 into 2 1546424401.582 * [misc]taylor: Taking taylor expansion of n in n 1546424401.583 * [misc]backup-simplify: Simplify 0 into 0 1546424401.583 * [misc]backup-simplify: Simplify 1 into 1 1546424401.583 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.583 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.583 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.583 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.583 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.583 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.583 * [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))) 1546424401.584 * [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)))) 1546424401.584 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1546424401.584 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1546424401.584 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424401.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.584 * [misc]taylor: Taking taylor expansion of k in k 1546424401.584 * [misc]backup-simplify: Simplify 0 into 0 1546424401.584 * [misc]backup-simplify: Simplify 1 into 1 1546424401.584 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.584 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1546424401.584 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546424401.584 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.584 * [misc]backup-simplify: Simplify 2 into 2 1546424401.584 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.584 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424401.584 * [misc]taylor: Taking taylor expansion of n in k 1546424401.584 * [misc]backup-simplify: Simplify n into n 1546424401.584 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424401.584 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.584 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.584 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.585 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424401.585 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1546424401.585 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1546424401.585 * [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)))) 1546424401.585 * [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)))) 1546424401.585 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546424401.587 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424401.587 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424401.587 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424401.587 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.587 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.588 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.588 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546424401.589 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424401.589 * [misc]taylor: Taking taylor expansion of 0 in k 1546424401.589 * [misc]backup-simplify: Simplify 0 into 0 1546424401.589 * [misc]backup-simplify: Simplify 0 into 0 1546424401.589 * [misc]backup-simplify: Simplify 0 into 0 1546424401.589 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424401.591 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546424401.591 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424401.592 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424401.592 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.592 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.592 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1546424401.594 * [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 1546424401.594 * [misc]taylor: Taking taylor expansion of 0 in k 1546424401.594 * [misc]backup-simplify: Simplify 0 into 0 1546424401.594 * [misc]backup-simplify: Simplify 0 into 0 1546424401.594 * [misc]backup-simplify: Simplify 0 into 0 1546424401.594 * [misc]backup-simplify: Simplify 0 into 0 1546424401.594 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424401.598 * [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 1546424401.599 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424401.599 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546424401.599 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.599 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.599 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.600 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1546424401.602 * [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 1546424401.602 * [misc]taylor: Taking taylor expansion of 0 in k 1546424401.602 * [misc]backup-simplify: Simplify 0 into 0 1546424401.602 * [misc]backup-simplify: Simplify 0 into 0 1546424401.602 * [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)))) 1546424401.602 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.602 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546424401.602 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424401.602 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424401.603 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424401.603 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424401.603 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.603 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.603 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.603 * [misc]taylor: Taking taylor expansion of k in k 1546424401.603 * [misc]backup-simplify: Simplify 0 into 0 1546424401.603 * [misc]backup-simplify: Simplify 1 into 1 1546424401.603 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.603 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.603 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424401.603 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424401.603 * [misc]taylor: Taking taylor expansion of -2 in k 1546424401.603 * [misc]backup-simplify: Simplify -2 into -2 1546424401.603 * [misc]taylor: Taking taylor expansion of n in k 1546424401.603 * [misc]backup-simplify: Simplify n into n 1546424401.603 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424401.603 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424401.603 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.603 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.603 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424401.603 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.603 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.603 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.603 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.603 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.603 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.603 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.604 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.604 * [misc]taylor: Taking taylor expansion of k in n 1546424401.604 * [misc]backup-simplify: Simplify k into k 1546424401.604 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.604 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.604 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.604 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.604 * [misc]backup-simplify: Simplify -2 into -2 1546424401.604 * [misc]taylor: Taking taylor expansion of n in n 1546424401.604 * [misc]backup-simplify: Simplify 0 into 0 1546424401.604 * [misc]backup-simplify: Simplify 1 into 1 1546424401.604 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.604 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.604 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.604 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.604 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.604 * [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))) 1546424401.605 * [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)))) 1546424401.605 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.605 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.605 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.605 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.605 * [misc]taylor: Taking taylor expansion of k in n 1546424401.605 * [misc]backup-simplify: Simplify k into k 1546424401.605 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.605 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.605 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.605 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.605 * [misc]backup-simplify: Simplify -2 into -2 1546424401.605 * [misc]taylor: Taking taylor expansion of n in n 1546424401.605 * [misc]backup-simplify: Simplify 0 into 0 1546424401.605 * [misc]backup-simplify: Simplify 1 into 1 1546424401.605 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.605 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.605 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.605 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.606 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.606 * [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))) 1546424401.606 * [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)))) 1546424401.606 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1546424401.606 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1546424401.606 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424401.606 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.606 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.606 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.606 * [misc]taylor: Taking taylor expansion of k in k 1546424401.606 * [misc]backup-simplify: Simplify 0 into 0 1546424401.606 * [misc]backup-simplify: Simplify 1 into 1 1546424401.606 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.606 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.606 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1546424401.606 * [misc]taylor: Taking taylor expansion of (log -2) in k 1546424401.606 * [misc]taylor: Taking taylor expansion of -2 in k 1546424401.606 * [misc]backup-simplify: Simplify -2 into -2 1546424401.607 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.607 * [misc]taylor: Taking taylor expansion of (log n) in k 1546424401.607 * [misc]taylor: Taking taylor expansion of n in k 1546424401.607 * [misc]backup-simplify: Simplify n into n 1546424401.607 * [misc]backup-simplify: Simplify (log n) into (log n) 1546424401.607 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.607 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.607 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546424401.607 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1546424401.607 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1546424401.607 * [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)))) 1546424401.608 * [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)))) 1546424401.608 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546424401.611 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546424401.611 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424401.611 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424401.611 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.612 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.612 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546424401.613 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424401.613 * [misc]taylor: Taking taylor expansion of 0 in k 1546424401.613 * [misc]backup-simplify: Simplify 0 into 0 1546424401.613 * [misc]backup-simplify: Simplify 0 into 0 1546424401.613 * [misc]backup-simplify: Simplify 0 into 0 1546424401.614 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424401.618 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1546424401.618 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424401.618 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546424401.619 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.619 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1546424401.621 * [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 1546424401.622 * [misc]taylor: Taking taylor expansion of 0 in k 1546424401.622 * [misc]backup-simplify: Simplify 0 into 0 1546424401.622 * [misc]backup-simplify: Simplify 0 into 0 1546424401.622 * [misc]backup-simplify: Simplify 0 into 0 1546424401.622 * [misc]backup-simplify: Simplify 0 into 0 1546424401.622 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424401.629 * [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 1546424401.629 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546424401.630 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546424401.630 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.630 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.631 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1546424401.634 * [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 1546424401.634 * [misc]taylor: Taking taylor expansion of 0 in k 1546424401.634 * [misc]backup-simplify: Simplify 0 into 0 1546424401.634 * [misc]backup-simplify: Simplify 0 into 0 1546424401.635 * [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))))) 1546424401.635 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1546424401.635 * [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)) 1546424401.635 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546424401.635 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546424401.635 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1546424401.635 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546424401.635 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546424401.635 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546424401.635 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424401.636 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.636 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424401.636 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.636 * [misc]taylor: Taking taylor expansion of k in n 1546424401.636 * [misc]backup-simplify: Simplify k into k 1546424401.636 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424401.636 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424401.636 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.636 * [misc]backup-simplify: Simplify 2 into 2 1546424401.636 * [misc]taylor: Taking taylor expansion of n in n 1546424401.636 * [misc]backup-simplify: Simplify 0 into 0 1546424401.636 * [misc]backup-simplify: Simplify 1 into 1 1546424401.636 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424401.636 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424401.636 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.637 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424401.637 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424401.637 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424401.637 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.637 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546424401.638 * [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)))) 1546424401.638 * [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))))) 1546424401.638 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546424401.638 * [misc]taylor: Taking taylor expansion of k in n 1546424401.638 * [misc]backup-simplify: Simplify k into k 1546424401.638 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546424401.638 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546424401.638 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546424401.638 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546424401.638 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424401.638 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424401.638 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424401.638 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424401.638 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.639 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424401.639 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.639 * [misc]taylor: Taking taylor expansion of k in k 1546424401.639 * [misc]backup-simplify: Simplify 0 into 0 1546424401.639 * [misc]backup-simplify: Simplify 1 into 1 1546424401.639 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424401.639 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424401.639 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.639 * [misc]backup-simplify: Simplify 2 into 2 1546424401.639 * [misc]taylor: Taking taylor expansion of n in k 1546424401.639 * [misc]backup-simplify: Simplify n into n 1546424401.639 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424401.639 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424401.639 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424401.639 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.639 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.640 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424401.640 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424401.640 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546424401.640 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424401.640 * [misc]taylor: Taking taylor expansion of k in k 1546424401.640 * [misc]backup-simplify: Simplify 0 into 0 1546424401.640 * [misc]backup-simplify: Simplify 1 into 1 1546424401.640 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.641 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.641 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546424401.641 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546424401.641 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424401.641 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424401.641 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424401.641 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424401.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.641 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424401.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.641 * [misc]taylor: Taking taylor expansion of k in k 1546424401.641 * [misc]backup-simplify: Simplify 0 into 0 1546424401.641 * [misc]backup-simplify: Simplify 1 into 1 1546424401.641 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424401.641 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424401.641 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.641 * [misc]backup-simplify: Simplify 2 into 2 1546424401.641 * [misc]taylor: Taking taylor expansion of n in k 1546424401.641 * [misc]backup-simplify: Simplify n into n 1546424401.641 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424401.641 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424401.642 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424401.642 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.642 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.642 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424401.642 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424401.642 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546424401.642 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424401.642 * [misc]taylor: Taking taylor expansion of k in k 1546424401.642 * [misc]backup-simplify: Simplify 0 into 0 1546424401.642 * [misc]backup-simplify: Simplify 1 into 1 1546424401.642 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.643 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.643 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1546424401.643 * [misc]taylor: Taking taylor expansion of 0 in n 1546424401.643 * [misc]backup-simplify: Simplify 0 into 0 1546424401.643 * [misc]backup-simplify: Simplify 0 into 0 1546424401.644 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546424401.645 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546424401.645 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424401.645 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.645 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546424401.646 * [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)))) 1546424401.646 * [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)))) 1546424401.648 * [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)))) 1546424401.648 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546424401.648 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546424401.648 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.648 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.648 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546424401.648 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546424401.648 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546424401.648 * [misc]taylor: Taking taylor expansion of n in n 1546424401.648 * [misc]backup-simplify: Simplify 0 into 0 1546424401.648 * [misc]backup-simplify: Simplify 1 into 1 1546424401.648 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.648 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.649 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.649 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546424401.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.649 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546424401.649 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546424401.650 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546424401.650 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546424401.651 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546424401.652 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546424401.653 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546424401.653 * [misc]backup-simplify: Simplify 0 into 0 1546424401.654 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424401.655 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546424401.656 * [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 1546424401.656 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424401.657 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546424401.658 * [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))) 1546424401.660 * [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))))) 1546424401.664 * [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)))))) 1546424401.664 * [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 1546424401.664 * [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 1546424401.664 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1546424401.664 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.664 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.664 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1546424401.664 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1546424401.664 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424401.664 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.664 * [misc]backup-simplify: Simplify 2 into 2 1546424401.664 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424401.665 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424401.665 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1546424401.665 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424401.665 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424401.665 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.665 * [misc]backup-simplify: Simplify 2 into 2 1546424401.665 * [misc]taylor: Taking taylor expansion of n in n 1546424401.665 * [misc]backup-simplify: Simplify 0 into 0 1546424401.665 * [misc]backup-simplify: Simplify 1 into 1 1546424401.665 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424401.665 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424401.665 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.665 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546424401.666 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546424401.666 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.666 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546424401.666 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546424401.666 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546424401.666 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546424401.666 * [misc]taylor: Taking taylor expansion of n in n 1546424401.666 * [misc]backup-simplify: Simplify 0 into 0 1546424401.666 * [misc]backup-simplify: Simplify 1 into 1 1546424401.666 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.666 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.667 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.667 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546424401.667 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546424401.667 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.667 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.667 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546424401.667 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546424401.667 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546424401.667 * [misc]taylor: Taking taylor expansion of n in n 1546424401.667 * [misc]backup-simplify: Simplify 0 into 0 1546424401.667 * [misc]backup-simplify: Simplify 1 into 1 1546424401.667 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.668 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.668 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.668 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546424401.668 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.668 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546424401.668 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546424401.669 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.669 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546424401.670 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1546424401.671 * [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))) 1546424401.671 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.671 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546424401.672 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546424401.674 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424401.675 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546424401.676 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1546424401.677 * [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))))))) 1546424401.679 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1546424401.682 * [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))))))) 1546424401.683 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546424401.683 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546424401.684 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546424401.685 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546424401.688 * [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))))))))) 1546424401.693 * [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))))))) 1546424401.697 * [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))))))) 1546424401.699 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546424401.699 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546424401.700 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424401.701 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546424401.703 * [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))) 1546424401.704 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546424401.704 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546424401.710 * [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)))))))))))) 1546424401.710 * [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))) 1546424401.710 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1546424401.711 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.711 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.711 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of k in n 1546424401.711 * [misc]backup-simplify: Simplify k into k 1546424401.711 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.711 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.711 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.711 * [misc]backup-simplify: Simplify 2 into 2 1546424401.711 * [misc]taylor: Taking taylor expansion of n in n 1546424401.711 * [misc]backup-simplify: Simplify 0 into 0 1546424401.711 * [misc]backup-simplify: Simplify 1 into 1 1546424401.711 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.711 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.711 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.712 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.712 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.712 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.712 * [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))) 1546424401.712 * [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)))) 1546424401.712 * [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))))) 1546424401.712 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546424401.712 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.713 * [misc]taylor: Taking taylor expansion of k in n 1546424401.713 * [misc]backup-simplify: Simplify k into k 1546424401.713 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.713 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546424401.713 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424401.713 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546424401.713 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.713 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of k in k 1546424401.713 * [misc]backup-simplify: Simplify 0 into 0 1546424401.713 * [misc]backup-simplify: Simplify 1 into 1 1546424401.713 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.713 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424401.713 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.713 * [misc]backup-simplify: Simplify 2 into 2 1546424401.713 * [misc]taylor: Taking taylor expansion of n in k 1546424401.713 * [misc]backup-simplify: Simplify n into n 1546424401.713 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424401.713 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424401.713 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.713 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.714 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.714 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424401.714 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.714 * [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))))) 1546424401.714 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424401.714 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.714 * [misc]taylor: Taking taylor expansion of k in k 1546424401.714 * [misc]backup-simplify: Simplify 0 into 0 1546424401.714 * [misc]backup-simplify: Simplify 1 into 1 1546424401.714 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.714 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.715 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.715 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.715 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.715 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of k in k 1546424401.715 * [misc]backup-simplify: Simplify 0 into 0 1546424401.715 * [misc]backup-simplify: Simplify 1 into 1 1546424401.715 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.715 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424401.715 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.715 * [misc]backup-simplify: Simplify 2 into 2 1546424401.715 * [misc]taylor: Taking taylor expansion of n in k 1546424401.715 * [misc]backup-simplify: Simplify n into n 1546424401.715 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424401.715 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424401.715 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.715 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.715 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.715 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424401.716 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.716 * [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))))) 1546424401.716 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424401.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.716 * [misc]taylor: Taking taylor expansion of k in k 1546424401.716 * [misc]backup-simplify: Simplify 0 into 0 1546424401.716 * [misc]backup-simplify: Simplify 1 into 1 1546424401.716 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.716 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.716 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.716 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546424401.716 * [misc]taylor: Taking taylor expansion of 0 in n 1546424401.716 * [misc]backup-simplify: Simplify 0 into 0 1546424401.716 * [misc]backup-simplify: Simplify 0 into 0 1546424401.717 * [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 1546424401.717 * [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))))))) 1546424401.717 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.717 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.717 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.717 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.717 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of k in n 1546424401.717 * [misc]backup-simplify: Simplify k into k 1546424401.717 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.717 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.717 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.717 * [misc]backup-simplify: Simplify 2 into 2 1546424401.717 * [misc]taylor: Taking taylor expansion of n in n 1546424401.717 * [misc]backup-simplify: Simplify 0 into 0 1546424401.717 * [misc]backup-simplify: Simplify 1 into 1 1546424401.717 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.718 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.718 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.718 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.718 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.718 * [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))) 1546424401.718 * [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)))) 1546424401.719 * [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))))) 1546424401.719 * [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))))) 1546424401.719 * [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))))))) 1546424401.719 * [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))))))) 1546424401.719 * [misc]backup-simplify: Simplify 0 into 0 1546424401.719 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546424401.720 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424401.720 * [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 1546424401.721 * [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))))))) 1546424401.721 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.721 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.721 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.721 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of k in n 1546424401.721 * [misc]backup-simplify: Simplify k into k 1546424401.721 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.721 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.721 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.721 * [misc]backup-simplify: Simplify 2 into 2 1546424401.721 * [misc]taylor: Taking taylor expansion of n in n 1546424401.721 * [misc]backup-simplify: Simplify 0 into 0 1546424401.721 * [misc]backup-simplify: Simplify 1 into 1 1546424401.721 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.721 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.721 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.721 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.722 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.722 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.722 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546424401.722 * [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)))) 1546424401.722 * [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))))) 1546424401.723 * [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))))) 1546424401.723 * [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))))))) 1546424401.723 * [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))))))) 1546424401.723 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546424401.725 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424401.725 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424401.725 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424401.725 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.725 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.725 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546424401.726 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424401.727 * [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 1546424401.727 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1546424401.727 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.727 * [misc]backup-simplify: Simplify 0 into 0 1546424401.727 * [misc]backup-simplify: Simplify 0 into 0 1546424401.727 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424401.728 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424401.728 * [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 1546424401.729 * [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))))))) 1546424401.729 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.729 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.729 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.729 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of k in n 1546424401.729 * [misc]backup-simplify: Simplify k into k 1546424401.729 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.729 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.729 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.729 * [misc]backup-simplify: Simplify 2 into 2 1546424401.729 * [misc]taylor: Taking taylor expansion of n in n 1546424401.729 * [misc]backup-simplify: Simplify 0 into 0 1546424401.729 * [misc]backup-simplify: Simplify 1 into 1 1546424401.729 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.729 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.729 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.729 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.730 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.730 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.730 * [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))) 1546424401.730 * [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)))) 1546424401.730 * [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))))) 1546424401.731 * [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))))) 1546424401.731 * [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))))))) 1546424401.731 * [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))))))) 1546424401.733 * [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))))))))))) 1546424401.733 * [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))) 1546424401.733 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546424401.733 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424401.733 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546424401.733 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546424401.733 * [misc]taylor: Taking taylor expansion of -1 in n 1546424401.733 * [misc]backup-simplify: Simplify -1 into -1 1546424401.733 * [misc]taylor: Taking taylor expansion of k in n 1546424401.733 * [misc]backup-simplify: Simplify k into k 1546424401.734 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546424401.734 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546424401.734 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546424401.734 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546424401.734 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.734 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.734 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.734 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.734 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.734 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.734 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.734 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.734 * [misc]taylor: Taking taylor expansion of k in n 1546424401.734 * [misc]backup-simplify: Simplify k into k 1546424401.734 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.734 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.734 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.734 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.734 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.734 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.734 * [misc]backup-simplify: Simplify -2 into -2 1546424401.734 * [misc]taylor: Taking taylor expansion of n in n 1546424401.735 * [misc]backup-simplify: Simplify 0 into 0 1546424401.735 * [misc]backup-simplify: Simplify 1 into 1 1546424401.735 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.735 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.735 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.735 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.735 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.736 * [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))) 1546424401.736 * [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)))) 1546424401.737 * [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))))) 1546424401.737 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546424401.737 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424401.737 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424401.737 * [misc]taylor: Taking taylor expansion of -1 in k 1546424401.737 * [misc]backup-simplify: Simplify -1 into -1 1546424401.737 * [misc]taylor: Taking taylor expansion of k in k 1546424401.737 * [misc]backup-simplify: Simplify 0 into 0 1546424401.737 * [misc]backup-simplify: Simplify 1 into 1 1546424401.737 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424401.737 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.738 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424401.738 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424401.738 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424401.738 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424401.738 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424401.738 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.738 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.738 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.738 * [misc]taylor: Taking taylor expansion of k in k 1546424401.738 * [misc]backup-simplify: Simplify 0 into 0 1546424401.738 * [misc]backup-simplify: Simplify 1 into 1 1546424401.738 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.738 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.738 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424401.738 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424401.738 * [misc]taylor: Taking taylor expansion of -2 in k 1546424401.738 * [misc]backup-simplify: Simplify -2 into -2 1546424401.738 * [misc]taylor: Taking taylor expansion of n in k 1546424401.738 * [misc]backup-simplify: Simplify n into n 1546424401.738 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424401.739 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424401.739 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.739 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.739 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424401.739 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.740 * [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))) 1546424401.740 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546424401.740 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424401.740 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424401.740 * [misc]taylor: Taking taylor expansion of -1 in k 1546424401.740 * [misc]backup-simplify: Simplify -1 into -1 1546424401.740 * [misc]taylor: Taking taylor expansion of k in k 1546424401.740 * [misc]backup-simplify: Simplify 0 into 0 1546424401.740 * [misc]backup-simplify: Simplify 1 into 1 1546424401.740 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424401.740 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.741 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424401.741 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424401.741 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424401.741 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424401.741 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424401.741 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.741 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.741 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.741 * [misc]taylor: Taking taylor expansion of k in k 1546424401.741 * [misc]backup-simplify: Simplify 0 into 0 1546424401.741 * [misc]backup-simplify: Simplify 1 into 1 1546424401.741 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.741 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.741 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424401.741 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424401.741 * [misc]taylor: Taking taylor expansion of -2 in k 1546424401.741 * [misc]backup-simplify: Simplify -2 into -2 1546424401.741 * [misc]taylor: Taking taylor expansion of n in k 1546424401.742 * [misc]backup-simplify: Simplify n into n 1546424401.742 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424401.742 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424401.742 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.742 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.742 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424401.742 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.742 * [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))) 1546424401.743 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424401.743 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.743 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.743 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.743 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.743 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.743 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.743 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.743 * [misc]taylor: Taking taylor expansion of k in n 1546424401.743 * [misc]backup-simplify: Simplify k into k 1546424401.743 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.743 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.743 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.743 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.743 * [misc]backup-simplify: Simplify -2 into -2 1546424401.743 * [misc]taylor: Taking taylor expansion of n in n 1546424401.743 * [misc]backup-simplify: Simplify 0 into 0 1546424401.743 * [misc]backup-simplify: Simplify 1 into 1 1546424401.743 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.744 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.744 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.744 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.744 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.744 * [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))) 1546424401.745 * [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)))) 1546424401.745 * [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))))) 1546424401.746 * [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))))) 1546424401.746 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546424401.747 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424401.748 * [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))))) 1546424401.748 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.748 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.748 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.748 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of k in n 1546424401.748 * [misc]backup-simplify: Simplify k into k 1546424401.748 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.748 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.748 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.748 * [misc]backup-simplify: Simplify -2 into -2 1546424401.749 * [misc]taylor: Taking taylor expansion of n in n 1546424401.749 * [misc]backup-simplify: Simplify 0 into 0 1546424401.749 * [misc]backup-simplify: Simplify 1 into 1 1546424401.749 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.749 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.749 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.749 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.749 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.750 * [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))) 1546424401.750 * [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)))) 1546424401.751 * [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))))) 1546424401.751 * [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))))) 1546424401.751 * [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))))))) 1546424401.752 * [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))))))) 1546424401.752 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546424401.754 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546424401.755 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424401.755 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424401.755 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.756 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546424401.757 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424401.758 * [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 1546424401.758 * [misc]backup-simplify: Simplify 0 into 0 1546424401.759 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424401.760 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424401.761 * [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))))) 1546424401.761 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.761 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.761 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of k in n 1546424401.761 * [misc]backup-simplify: Simplify k into k 1546424401.761 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.761 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.761 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.761 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.761 * [misc]backup-simplify: Simplify -2 into -2 1546424401.761 * [misc]taylor: Taking taylor expansion of n in n 1546424401.761 * [misc]backup-simplify: Simplify 0 into 0 1546424401.761 * [misc]backup-simplify: Simplify 1 into 1 1546424401.762 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.762 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.762 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.762 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.762 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.763 * [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))) 1546424401.763 * [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)))) 1546424401.763 * [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))))) 1546424401.764 * [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))))) 1546424401.764 * [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))))))) 1546424401.765 * [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))))))) 1546424401.766 * [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))))))))) 1546424401.766 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1546424401.767 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1546424401.767 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k n) around 0 1546424401.767 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1546424401.767 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546424401.767 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546424401.767 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546424401.767 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546424401.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.767 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546424401.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.767 * [misc]taylor: Taking taylor expansion of k in n 1546424401.767 * [misc]backup-simplify: Simplify k into k 1546424401.767 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424401.767 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424401.767 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.767 * [misc]backup-simplify: Simplify 2 into 2 1546424401.767 * [misc]taylor: Taking taylor expansion of n in n 1546424401.767 * [misc]backup-simplify: Simplify 0 into 0 1546424401.767 * [misc]backup-simplify: Simplify 1 into 1 1546424401.768 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424401.768 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424401.768 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.768 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546424401.768 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546424401.768 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546424401.769 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.769 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546424401.769 * [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)))) 1546424401.769 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546424401.769 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.769 * [misc]taylor: Taking taylor expansion of k in n 1546424401.769 * [misc]backup-simplify: Simplify k into k 1546424401.769 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.769 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546424401.770 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424401.770 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546424401.770 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1546424401.770 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424401.770 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424401.770 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424401.770 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424401.770 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.770 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424401.770 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.770 * [misc]taylor: Taking taylor expansion of k in k 1546424401.770 * [misc]backup-simplify: Simplify 0 into 0 1546424401.770 * [misc]backup-simplify: Simplify 1 into 1 1546424401.770 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424401.770 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424401.770 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.770 * [misc]backup-simplify: Simplify 2 into 2 1546424401.770 * [misc]taylor: Taking taylor expansion of n in k 1546424401.770 * [misc]backup-simplify: Simplify n into n 1546424401.770 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424401.770 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424401.771 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424401.771 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.771 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.771 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424401.771 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424401.771 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424401.771 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.771 * [misc]taylor: Taking taylor expansion of k in k 1546424401.771 * [misc]backup-simplify: Simplify 0 into 0 1546424401.771 * [misc]backup-simplify: Simplify 1 into 1 1546424401.771 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.772 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.772 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.772 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1546424401.772 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546424401.772 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546424401.772 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546424401.772 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546424401.772 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.772 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546424401.772 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.773 * [misc]taylor: Taking taylor expansion of k in k 1546424401.773 * [misc]backup-simplify: Simplify 0 into 0 1546424401.773 * [misc]backup-simplify: Simplify 1 into 1 1546424401.773 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546424401.773 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546424401.773 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.773 * [misc]backup-simplify: Simplify 2 into 2 1546424401.773 * [misc]taylor: Taking taylor expansion of n in k 1546424401.773 * [misc]backup-simplify: Simplify n into n 1546424401.773 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546424401.773 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546424401.773 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546424401.773 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.773 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.773 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546424401.774 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546424401.774 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546424401.774 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.774 * [misc]taylor: Taking taylor expansion of k in k 1546424401.774 * [misc]backup-simplify: Simplify 0 into 0 1546424401.774 * [misc]backup-simplify: Simplify 1 into 1 1546424401.774 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.774 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.774 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.775 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) 0) into 0 1546424401.775 * [misc]taylor: Taking taylor expansion of 0 in n 1546424401.775 * [misc]backup-simplify: Simplify 0 into 0 1546424401.775 * [misc]backup-simplify: Simplify 0 into 0 1546424401.775 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546424401.776 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546424401.776 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546424401.776 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.776 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546424401.777 * [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)))) 1546424401.777 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt n)))) 1546424401.777 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt n)))) in n 1546424401.777 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt n))) in n 1546424401.777 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.777 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.777 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt n)) in n 1546424401.777 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424401.777 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.777 * [misc]backup-simplify: Simplify 2 into 2 1546424401.777 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424401.778 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424401.778 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546424401.778 * [misc]taylor: Taking taylor expansion of n in n 1546424401.778 * [misc]backup-simplify: Simplify 0 into 0 1546424401.778 * [misc]backup-simplify: Simplify 1 into 1 1546424401.778 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.778 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.779 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546424401.779 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424401.779 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.779 * [misc]backup-simplify: Simplify 0 into 0 1546424401.779 * [misc]backup-simplify: Simplify 0 into 0 1546424401.779 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546424401.780 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424401.781 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546424401.782 * [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 1546424401.783 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546424401.783 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.783 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546424401.784 * [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))) 1546424401.785 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) +nan.0) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n)))))) 1546424401.785 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n)))))) in n 1546424401.785 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))))) in n 1546424401.785 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt n))) in n 1546424401.785 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.785 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.785 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt n)) in n 1546424401.785 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424401.785 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.785 * [misc]backup-simplify: Simplify 2 into 2 1546424401.785 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424401.786 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424401.786 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546424401.786 * [misc]taylor: Taking taylor expansion of n in n 1546424401.786 * [misc]backup-simplify: Simplify 0 into 0 1546424401.786 * [misc]backup-simplify: Simplify 1 into 1 1546424401.786 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.786 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.786 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n)))) in n 1546424401.787 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) in n 1546424401.787 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.787 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.787 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt n)) in n 1546424401.787 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546424401.787 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424401.787 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.787 * [misc]backup-simplify: Simplify 2 into 2 1546424401.787 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424401.787 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424401.787 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424401.787 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424401.787 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.787 * [misc]backup-simplify: Simplify 2 into 2 1546424401.787 * [misc]taylor: Taking taylor expansion of n in n 1546424401.787 * [misc]backup-simplify: Simplify 0 into 0 1546424401.787 * [misc]backup-simplify: Simplify 1 into 1 1546424401.787 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424401.788 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424401.788 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.788 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546424401.788 * [misc]taylor: Taking taylor expansion of n in n 1546424401.788 * [misc]backup-simplify: Simplify 0 into 0 1546424401.788 * [misc]backup-simplify: Simplify 1 into 1 1546424401.788 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.789 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.789 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546424401.789 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424401.789 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.790 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546424401.790 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546424401.790 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424401.790 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.790 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.791 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.791 * [misc]backup-simplify: Simplify 0 into 0 1546424401.791 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1546424401.792 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 2)))) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1546424401.793 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 2)))) into (- (* +nan.0 (sqrt 2))) 1546424401.794 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1546424401.794 * [misc]backup-simplify: Simplify 0 into 0 1546424401.794 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424401.796 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424401.796 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1546424401.799 * [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 1546424401.799 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546424401.799 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.800 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.800 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1546424401.802 * [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))) 1546424401.803 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) +nan.0) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) +nan.0) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))))))) 1546424401.803 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))))))) in n 1546424401.803 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n))))))) in n 1546424401.803 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt n))) in n 1546424401.803 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.803 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.803 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt n)) in n 1546424401.803 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424401.803 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.803 * [misc]backup-simplify: Simplify 2 into 2 1546424401.803 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424401.804 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424401.804 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546424401.804 * [misc]taylor: Taking taylor expansion of n in n 1546424401.804 * [misc]backup-simplify: Simplify 0 into 0 1546424401.804 * [misc]backup-simplify: Simplify 1 into 1 1546424401.804 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.804 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.804 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))))) in n 1546424401.804 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n))))) in n 1546424401.804 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) in n 1546424401.804 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.804 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.804 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt n)) in n 1546424401.804 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546424401.804 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424401.804 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.804 * [misc]backup-simplify: Simplify 2 into 2 1546424401.805 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424401.805 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424401.805 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424401.805 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424401.805 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.805 * [misc]backup-simplify: Simplify 2 into 2 1546424401.805 * [misc]taylor: Taking taylor expansion of n in n 1546424401.805 * [misc]backup-simplify: Simplify 0 into 0 1546424401.805 * [misc]backup-simplify: Simplify 1 into 1 1546424401.805 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424401.805 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424401.806 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.806 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546424401.806 * [misc]taylor: Taking taylor expansion of n in n 1546424401.806 * [misc]backup-simplify: Simplify 0 into 0 1546424401.806 * [misc]backup-simplify: Simplify 1 into 1 1546424401.806 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.806 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.806 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))) in n 1546424401.806 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n))) in n 1546424401.806 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.806 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.806 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)) in n 1546424401.806 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1546424401.806 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546424401.806 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.807 * [misc]backup-simplify: Simplify 2 into 2 1546424401.807 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546424401.807 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546424401.807 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1546424401.807 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546424401.807 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546424401.807 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.807 * [misc]backup-simplify: Simplify 2 into 2 1546424401.807 * [misc]taylor: Taking taylor expansion of n in n 1546424401.807 * [misc]backup-simplify: Simplify 0 into 0 1546424401.807 * [misc]backup-simplify: Simplify 1 into 1 1546424401.807 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546424401.808 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546424401.808 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.808 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.808 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546424401.808 * [misc]taylor: Taking taylor expansion of n in n 1546424401.808 * [misc]backup-simplify: Simplify 0 into 0 1546424401.808 * [misc]backup-simplify: Simplify 1 into 1 1546424401.808 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.809 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.809 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546424401.809 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424401.810 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.810 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546424401.810 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546424401.810 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424401.811 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.811 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.812 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1546424401.812 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1546424401.813 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1546424401.813 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546424401.813 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.813 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.813 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.813 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.813 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.814 * [misc]backup-simplify: Simplify 0 into 0 1546424401.814 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1546424401.815 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 2)))) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1546424401.816 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546424401.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424401.819 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546424401.819 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1546424401.820 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))) 1546424401.821 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))) 1546424401.822 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))) into (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))) 1546424401.824 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (sqrt 2))) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))) into (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) 1546424401.826 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))))) into (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) 1546424401.827 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) into (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) 1546424401.829 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424401.830 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546424401.831 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2))) 1546424401.833 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 2)))) (+ (* 0 (- (* +nan.0 (sqrt 2)))) (* 0 0))) into (- (* +nan.0 (sqrt 2))) 1546424401.833 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 2)))) into (- (* +nan.0 (sqrt 2))) 1546424401.834 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1546424401.837 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 2))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) (* n k)) (* (- (* +nan.0 (sqrt 2))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n k))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* (log n) k)))) (- (+ (* +nan.0 (* (sqrt 2) n)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n k)))) (- (* +nan.0 (* (sqrt 2) (pow n 2)))))))))))) 1546424401.838 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1546424401.838 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k n) around 0 1546424401.838 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1546424401.838 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.838 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.838 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.838 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.838 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.838 * [misc]taylor: Taking taylor expansion of k in n 1546424401.838 * [misc]backup-simplify: Simplify k into k 1546424401.838 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.838 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.838 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.838 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.838 * [misc]backup-simplify: Simplify 2 into 2 1546424401.838 * [misc]taylor: Taking taylor expansion of n in n 1546424401.838 * [misc]backup-simplify: Simplify 0 into 0 1546424401.839 * [misc]backup-simplify: Simplify 1 into 1 1546424401.839 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.839 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.839 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.839 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.839 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.840 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.840 * [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))) 1546424401.841 * [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)))) 1546424401.841 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546424401.841 * [misc]taylor: Taking taylor expansion of k in n 1546424401.841 * [misc]backup-simplify: Simplify k into k 1546424401.841 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546424401.841 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546424401.842 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1546424401.842 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424401.842 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424401.842 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424401.842 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424401.842 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.842 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.842 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.842 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.842 * [misc]taylor: Taking taylor expansion of k in k 1546424401.842 * [misc]backup-simplify: Simplify 0 into 0 1546424401.842 * [misc]backup-simplify: Simplify 1 into 1 1546424401.842 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.842 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424401.842 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424401.842 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.842 * [misc]backup-simplify: Simplify 2 into 2 1546424401.842 * [misc]taylor: Taking taylor expansion of n in k 1546424401.842 * [misc]backup-simplify: Simplify n into n 1546424401.842 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424401.842 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424401.843 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.843 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.843 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.843 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424401.843 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.843 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424401.843 * [misc]taylor: Taking taylor expansion of k in k 1546424401.843 * [misc]backup-simplify: Simplify 0 into 0 1546424401.843 * [misc]backup-simplify: Simplify 1 into 1 1546424401.844 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.844 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.844 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1546424401.844 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546424401.844 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546424401.844 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546424401.844 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546424401.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.845 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.845 * [misc]taylor: Taking taylor expansion of k in k 1546424401.845 * [misc]backup-simplify: Simplify 0 into 0 1546424401.845 * [misc]backup-simplify: Simplify 1 into 1 1546424401.845 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.845 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546424401.845 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546424401.845 * [misc]taylor: Taking taylor expansion of 2 in k 1546424401.845 * [misc]backup-simplify: Simplify 2 into 2 1546424401.845 * [misc]taylor: Taking taylor expansion of n in k 1546424401.845 * [misc]backup-simplify: Simplify n into n 1546424401.845 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546424401.845 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546424401.845 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.846 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546424401.846 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546424401.846 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546424401.846 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546424401.846 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546424401.846 * [misc]taylor: Taking taylor expansion of k in k 1546424401.846 * [misc]backup-simplify: Simplify 0 into 0 1546424401.846 * [misc]backup-simplify: Simplify 1 into 1 1546424401.847 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.847 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546424401.848 * [misc]backup-simplify: Simplify (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0 1546424401.848 * [misc]taylor: Taking taylor expansion of 0 in n 1546424401.848 * [misc]backup-simplify: Simplify 0 into 0 1546424401.848 * [misc]backup-simplify: Simplify 0 into 0 1546424401.848 * [misc]backup-simplify: Simplify (+ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1546424401.848 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424401.848 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424401.848 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.848 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.848 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.848 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.848 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.848 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.848 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.848 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.848 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.848 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.848 * [misc]taylor: Taking taylor expansion of k in n 1546424401.849 * [misc]backup-simplify: Simplify k into k 1546424401.849 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.849 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.849 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.849 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.849 * [misc]backup-simplify: Simplify 2 into 2 1546424401.849 * [misc]taylor: Taking taylor expansion of n in n 1546424401.849 * [misc]backup-simplify: Simplify 0 into 0 1546424401.849 * [misc]backup-simplify: Simplify 1 into 1 1546424401.849 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.849 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.849 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.849 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.849 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.850 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.850 * [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))) 1546424401.851 * [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)))) 1546424401.851 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546424401.851 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546424401.853 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546424401.853 * [misc]backup-simplify: Simplify 0 into 0 1546424401.854 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424401.855 * [misc]backup-simplify: Simplify (+ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1546424401.855 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.855 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.855 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.855 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.855 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of k in n 1546424401.855 * [misc]backup-simplify: Simplify k into k 1546424401.855 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.855 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.855 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.855 * [misc]backup-simplify: Simplify 2 into 2 1546424401.855 * [misc]taylor: Taking taylor expansion of n in n 1546424401.855 * [misc]backup-simplify: Simplify 0 into 0 1546424401.855 * [misc]backup-simplify: Simplify 1 into 1 1546424401.855 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.856 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.856 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.856 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.856 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.856 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.857 * [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))) 1546424401.857 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546424401.857 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546424401.858 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546424401.858 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546424401.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546424401.861 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546424401.861 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424401.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424401.861 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.862 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.862 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.862 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546424401.864 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424401.864 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1546424401.864 * [misc]backup-simplify: Simplify (- 0) into 0 1546424401.864 * [misc]backup-simplify: Simplify 0 into 0 1546424401.864 * [misc]backup-simplify: Simplify 0 into 0 1546424401.866 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424401.866 * [misc]backup-simplify: Simplify (+ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1546424401.866 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546424401.866 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546424401.866 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.866 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.866 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546424401.866 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546424401.866 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546424401.866 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546424401.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.866 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.866 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.867 * [misc]taylor: Taking taylor expansion of k in n 1546424401.867 * [misc]backup-simplify: Simplify k into k 1546424401.867 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.867 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546424401.867 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546424401.867 * [misc]taylor: Taking taylor expansion of 2 in n 1546424401.867 * [misc]backup-simplify: Simplify 2 into 2 1546424401.867 * [misc]taylor: Taking taylor expansion of n in n 1546424401.867 * [misc]backup-simplify: Simplify 0 into 0 1546424401.867 * [misc]backup-simplify: Simplify 1 into 1 1546424401.867 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546424401.867 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546424401.867 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.867 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546424401.867 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546424401.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546424401.868 * [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))) 1546424401.868 * [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)))) 1546424401.869 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546424401.869 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546424401.869 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546424401.871 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (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 k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1546424401.871 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546424401.871 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546424401.871 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546424401.871 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.871 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.871 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.872 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.872 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.872 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.872 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.872 * [misc]taylor: Taking taylor expansion of k in n 1546424401.872 * [misc]backup-simplify: Simplify k into k 1546424401.872 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.872 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.872 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.872 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.872 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.872 * [misc]backup-simplify: Simplify -2 into -2 1546424401.872 * [misc]taylor: Taking taylor expansion of n in n 1546424401.872 * [misc]backup-simplify: Simplify 0 into 0 1546424401.872 * [misc]backup-simplify: Simplify 1 into 1 1546424401.872 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.872 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.872 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.872 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.872 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.873 * [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))) 1546424401.873 * [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)))) 1546424401.873 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546424401.873 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546424401.873 * [misc]taylor: Taking taylor expansion of -1 in n 1546424401.873 * [misc]backup-simplify: Simplify -1 into -1 1546424401.873 * [misc]taylor: Taking taylor expansion of k in n 1546424401.873 * [misc]backup-simplify: Simplify k into k 1546424401.873 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546424401.873 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546424401.873 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546424401.873 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546424401.873 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1546424401.873 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of k in k 1546424401.874 * [misc]backup-simplify: Simplify 0 into 0 1546424401.874 * [misc]backup-simplify: Simplify 1 into 1 1546424401.874 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.874 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of -2 in k 1546424401.874 * [misc]backup-simplify: Simplify -2 into -2 1546424401.874 * [misc]taylor: Taking taylor expansion of n in k 1546424401.874 * [misc]backup-simplify: Simplify n into n 1546424401.874 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424401.874 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424401.874 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.874 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.874 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424401.874 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.874 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424401.874 * [misc]taylor: Taking taylor expansion of -1 in k 1546424401.874 * [misc]backup-simplify: Simplify -1 into -1 1546424401.875 * [misc]taylor: Taking taylor expansion of k in k 1546424401.875 * [misc]backup-simplify: Simplify 0 into 0 1546424401.875 * [misc]backup-simplify: Simplify 1 into 1 1546424401.875 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424401.875 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.875 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424401.875 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1546424401.875 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546424401.875 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546424401.875 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546424401.875 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546424401.875 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546424401.875 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546424401.875 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.875 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546424401.875 * [misc]taylor: Taking taylor expansion of k in k 1546424401.875 * [misc]backup-simplify: Simplify 0 into 0 1546424401.875 * [misc]backup-simplify: Simplify 1 into 1 1546424401.876 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546424401.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546424401.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.876 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546424401.876 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546424401.876 * [misc]taylor: Taking taylor expansion of -2 in k 1546424401.876 * [misc]backup-simplify: Simplify -2 into -2 1546424401.876 * [misc]taylor: Taking taylor expansion of n in k 1546424401.876 * [misc]backup-simplify: Simplify n into n 1546424401.876 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546424401.876 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546424401.876 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546424401.876 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546424401.876 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546424401.876 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546424401.876 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546424401.876 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546424401.876 * [misc]taylor: Taking taylor expansion of -1 in k 1546424401.876 * [misc]backup-simplify: Simplify -1 into -1 1546424401.876 * [misc]taylor: Taking taylor expansion of k in k 1546424401.876 * [misc]backup-simplify: Simplify 0 into 0 1546424401.876 * [misc]backup-simplify: Simplify 1 into 1 1546424401.876 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546424401.876 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546424401.877 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546424401.877 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1546424401.877 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424401.877 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.877 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.877 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.877 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.877 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.877 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.877 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.877 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.877 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.877 * [misc]taylor: Taking taylor expansion of k in n 1546424401.877 * [misc]backup-simplify: Simplify k into k 1546424401.877 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.877 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.877 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.877 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.877 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.877 * [misc]backup-simplify: Simplify -2 into -2 1546424401.877 * [misc]taylor: Taking taylor expansion of n in n 1546424401.877 * [misc]backup-simplify: Simplify 0 into 0 1546424401.877 * [misc]backup-simplify: Simplify 1 into 1 1546424401.877 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.878 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.878 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.878 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.878 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.878 * [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))) 1546424401.878 * [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)))) 1546424401.879 * [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))))) 1546424401.879 * [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))))) 1546424401.879 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546424401.880 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546424401.880 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546424401.880 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424401.880 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424401.880 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.880 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.880 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.880 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.880 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.880 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.880 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.880 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.880 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.880 * [misc]taylor: Taking taylor expansion of k in n 1546424401.880 * [misc]backup-simplify: Simplify k into k 1546424401.880 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.880 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.880 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.881 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.881 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.881 * [misc]backup-simplify: Simplify -2 into -2 1546424401.881 * [misc]taylor: Taking taylor expansion of n in n 1546424401.881 * [misc]backup-simplify: Simplify 0 into 0 1546424401.881 * [misc]backup-simplify: Simplify 1 into 1 1546424401.881 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.881 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.881 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.881 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.881 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.881 * [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))) 1546424401.882 * [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)))) 1546424401.882 * [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))))) 1546424401.882 * [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)))))) 1546424401.882 * [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)))))) 1546424401.882 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546424401.884 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546424401.884 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546424401.884 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546424401.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546424401.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.885 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546424401.886 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546424401.886 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into 0 1546424401.886 * [misc]backup-simplify: Simplify 0 into 0 1546424401.886 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546424401.887 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546424401.887 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546424401.888 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546424401.888 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546424401.888 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.888 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of k in n 1546424401.888 * [misc]backup-simplify: Simplify k into k 1546424401.888 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546424401.888 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546424401.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546424401.888 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546424401.888 * [misc]taylor: Taking taylor expansion of -2 in n 1546424401.888 * [misc]backup-simplify: Simplify -2 into -2 1546424401.888 * [misc]taylor: Taking taylor expansion of n in n 1546424401.888 * [misc]backup-simplify: Simplify 0 into 0 1546424401.888 * [misc]backup-simplify: Simplify 1 into 1 1546424401.888 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546424401.888 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546424401.888 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546424401.888 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546424401.889 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546424401.889 * [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))) 1546424401.889 * [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)))) 1546424401.889 * [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))))) 1546424401.889 * [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)))))) 1546424401.890 * [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)))))) 1546424401.891 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (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 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1546424401.891 * * * [misc]progress: simplifying candidates 1546424401.891 * * * * [misc]progress: [ 1 / 133 ] simplifiying candidate # 1546424401.891 * * * * [misc]progress: [ 2 / 133 ] simplifiying candidate # 1546424401.891 * * * * [misc]progress: [ 3 / 133 ] simplifiying candidate # 1546424401.891 * * * * [misc]progress: [ 4 / 133 ] simplifiying candidate # 1546424401.891 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1546424401.891 * * [misc]simplify: iters left: 3 (5 enodes) 1546424401.892 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1546424401.892 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424401.892 * * * * [misc]progress: [ 5 / 133 ] simplifiying candidate # 1546424401.892 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546424401.892 * * [misc]simplify: iters left: 5 (6 enodes) 1546424401.893 * * [misc]simplify: iters left: 4 (8 enodes) 1546424401.894 * * [misc]simplify: iters left: 3 (11 enodes) 1546424401.896 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546424401.896 * [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)))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424401.896 * * * * [misc]progress: [ 6 / 133 ] simplifiying candidate # 1546424401.896 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546424401.897 * * [misc]simplify: iters left: 5 (6 enodes) 1546424401.898 * * [misc]simplify: iters left: 4 (8 enodes) 1546424401.899 * * [misc]simplify: iters left: 3 (11 enodes) 1546424401.901 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546424401.901 * [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)))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424401.901 * * * * [misc]progress: [ 7 / 133 ] simplifiying candidate # 1546424401.901 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546424401.901 * * [misc]simplify: iters left: 4 (5 enodes) 1546424401.902 * * [misc]simplify: iters left: 3 (7 enodes) 1546424401.903 * * [misc]simplify: iters left: 2 (10 enodes) 1546424401.904 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546424401.904 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424401.905 * * * * [misc]progress: [ 8 / 133 ] simplifiying candidate # 1546424401.905 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546424401.905 * * [misc]simplify: iters left: 5 (6 enodes) 1546424401.906 * * [misc]simplify: iters left: 4 (8 enodes) 1546424401.907 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546424401.907 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424401.907 * * * * [misc]progress: [ 9 / 133 ] simplifiying candidate # 1546424401.907 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546424401.907 * * [misc]simplify: iters left: 5 (6 enodes) 1546424401.908 * * [misc]simplify: iters left: 4 (8 enodes) 1546424401.910 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546424401.910 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424401.910 * * * * [misc]progress: [ 10 / 133 ] simplifiying candidate # 1546424401.910 * * * * [misc]progress: [ 11 / 133 ] simplifiying candidate # 1546424401.910 * * * * [misc]progress: [ 12 / 133 ] simplifiying candidate # 1546424401.910 * * * * [misc]progress: [ 13 / 133 ] simplifiying candidate # 1546424401.910 * * * * [misc]progress: [ 14 / 133 ] simplifiying candidate # 1546424401.910 * * * * [misc]progress: [ 15 / 133 ] simplifiying candidate # 1546424401.910 * * * * [misc]progress: [ 16 / 133 ] simplifiying candidate # 1546424401.910 * * * * [misc]progress: [ 17 / 133 ] simplifiying candidate # 1546424401.910 * * * * [misc]progress: [ 18 / 133 ] simplifiying candidate # 1546424401.910 * * * * [misc]progress: [ 19 / 133 ] simplifiying candidate # 1546424401.910 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1546424401.910 * * [misc]simplify: iters left: 6 (9 enodes) 1546424401.912 * * [misc]simplify: iters left: 5 (16 enodes) 1546424401.915 * * [misc]simplify: iters left: 4 (32 enodes) 1546424401.921 * * [misc]simplify: iters left: 3 (72 enodes) 1546424401.942 * * [misc]simplify: iters left: 2 (195 enodes) 1546424402.038 * * [misc]simplify: iters left: 1 (418 enodes) 1546424402.222 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1546424402.222 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1546424402.222 * * * * [misc]progress: [ 20 / 133 ] simplifiying candidate # 1546424402.222 * * * * [misc]progress: [ 21 / 133 ] simplifiying candidate # 1546424402.222 * [enter]simplify: Simplifying (* n 2) 1546424402.222 * * [misc]simplify: iters left: 2 (3 enodes) 1546424402.223 * * [misc]simplify: iters left: 1 (4 enodes) 1546424402.223 * [exit]simplify: Simplified to (* n 2) 1546424402.223 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2)))))))) 1546424402.223 * * * * [misc]progress: [ 22 / 133 ] simplifiying candidate # 1546424402.223 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546424402.223 * * [misc]simplify: iters left: 3 (6 enodes) 1546424402.224 * * [misc]simplify: iters left: 2 (7 enodes) 1546424402.225 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546424402.225 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 1546424402.225 * * * * [misc]progress: [ 23 / 133 ] simplifiying candidate # 1546424402.225 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546424402.225 * * [misc]simplify: iters left: 5 (6 enodes) 1546424402.226 * * [misc]simplify: iters left: 4 (8 enodes) 1546424402.227 * * [misc]simplify: iters left: 3 (11 enodes) 1546424402.229 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546424402.229 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1546424402.229 * * * * [misc]progress: [ 24 / 133 ] simplifiying candidate # 1546424402.229 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546424402.229 * * [misc]simplify: iters left: 5 (6 enodes) 1546424402.230 * * [misc]simplify: iters left: 4 (8 enodes) 1546424402.231 * * [misc]simplify: iters left: 3 (11 enodes) 1546424402.234 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546424402.234 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1546424402.234 * * * * [misc]progress: [ 25 / 133 ] simplifiying candidate # 1546424402.234 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546424402.234 * * [misc]simplify: iters left: 4 (5 enodes) 1546424402.235 * * [misc]simplify: iters left: 3 (7 enodes) 1546424402.236 * * [misc]simplify: iters left: 2 (10 enodes) 1546424402.237 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546424402.237 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2))))))) 1546424402.237 * * * * [misc]progress: [ 26 / 133 ] simplifiying candidate # 1546424402.238 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546424402.238 * * [misc]simplify: iters left: 5 (7 enodes) 1546424402.239 * * [misc]simplify: iters left: 4 (10 enodes) 1546424402.240 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546424402.240 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1546424402.240 * * * * [misc]progress: [ 27 / 133 ] simplifiying candidate # 1546424402.240 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546424402.240 * * [misc]simplify: iters left: 5 (7 enodes) 1546424402.241 * * [misc]simplify: iters left: 4 (10 enodes) 1546424402.243 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546424402.243 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1546424402.243 * * * * [misc]progress: [ 28 / 133 ] simplifiying candidate # 1546424402.243 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1546424402.243 * * [misc]simplify: iters left: 5 (7 enodes) 1546424402.244 * * [misc]simplify: iters left: 4 (9 enodes) 1546424402.245 * * [misc]simplify: iters left: 3 (12 enodes) 1546424402.247 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546424402.247 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1546424402.247 * * * * [misc]progress: [ 29 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 30 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 31 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 32 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 33 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 34 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 35 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 36 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 37 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 38 / 133 ] simplifiying candidate # 1546424402.247 * * * * [misc]progress: [ 39 / 133 ] simplifiying candidate # 1546424402.247 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546424402.247 * * [misc]simplify: iters left: 6 (12 enodes) 1546424402.249 * * [misc]simplify: iters left: 5 (21 enodes) 1546424402.253 * * [misc]simplify: iters left: 4 (44 enodes) 1546424402.262 * * [misc]simplify: iters left: 3 (133 enodes) 1546424402.309 * * [misc]simplify: iters left: 2 (379 enodes) 1546424402.435 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1546424402.435 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))))))) 1546424402.435 * * * * [misc]progress: [ 40 / 133 ] simplifiying candidate # 1546424402.436 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546424402.436 * * [misc]simplify: iters left: 6 (12 enodes) 1546424402.438 * * [misc]simplify: iters left: 5 (21 enodes) 1546424402.441 * * [misc]simplify: iters left: 4 (44 enodes) 1546424402.451 * * [misc]simplify: iters left: 3 (133 enodes) 1546424402.491 * * [misc]simplify: iters left: 2 (379 enodes) 1546424402.705 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1546424402.706 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))))))) 1546424402.706 * * * * [misc]progress: [ 41 / 133 ] simplifiying candidate # 1546424402.706 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1546424402.706 * * [misc]simplify: iters left: 6 (12 enodes) 1546424402.708 * * [misc]simplify: iters left: 5 (19 enodes) 1546424402.711 * * [misc]simplify: iters left: 4 (32 enodes) 1546424402.716 * * [misc]simplify: iters left: 3 (69 enodes) 1546424402.733 * * [misc]simplify: iters left: 2 (208 enodes) 1546424402.870 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1546424402.870 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))))))) 1546424402.870 * * * * [misc]progress: [ 42 / 133 ] simplifiying candidate # 1546424402.870 * * * * [misc]progress: [ 43 / 133 ] simplifiying candidate # 1546424402.870 * * * * [misc]progress: [ 44 / 133 ] simplifiying candidate # 1546424402.870 * [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))))) 1546424402.870 * * [misc]simplify: iters left: 6 (14 enodes) 1546424402.875 * * [misc]simplify: iters left: 5 (26 enodes) 1546424402.879 * * [misc]simplify: iters left: 4 (58 enodes) 1546424402.890 * * [misc]simplify: iters left: 3 (117 enodes) 1546424402.914 * * [misc]simplify: iters left: 2 (193 enodes) 1546424402.958 * * [misc]simplify: iters left: 1 (263 enodes) 1546424403.057 * [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))))) 1546424403.057 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (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))))))))) 1546424403.057 * * * * [misc]progress: [ 45 / 133 ] simplifiying candidate # 1546424403.057 * * * * [misc]progress: [ 46 / 133 ] simplifiying candidate # 1546424403.057 * * * * [misc]progress: [ 47 / 133 ] simplifiying candidate # 1546424403.057 * * * * [misc]progress: [ 48 / 133 ] simplifiying candidate # 1546424403.057 * * * * [misc]progress: [ 49 / 133 ] simplifiying candidate # 1546424403.058 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546424403.058 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.059 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.061 * * [misc]simplify: iters left: 4 (16 enodes) 1546424403.063 * * [misc]simplify: iters left: 3 (17 enodes) 1546424403.066 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546424403.066 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1546424403.066 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424403.066 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.067 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.069 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424403.069 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1546424403.069 * * * * [misc]progress: [ 50 / 133 ] simplifiying candidate # 1546424403.069 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546424403.069 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.071 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.073 * * [misc]simplify: iters left: 4 (16 enodes) 1546424403.075 * * [misc]simplify: iters left: 3 (17 enodes) 1546424403.077 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546424403.077 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1546424403.077 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424403.077 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.079 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.081 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424403.081 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1546424403.081 * * * * [misc]progress: [ 51 / 133 ] simplifiying candidate # 1546424403.081 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546424403.081 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.082 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.086 * * [misc]simplify: iters left: 4 (20 enodes) 1546424403.092 * * [misc]simplify: iters left: 3 (21 enodes) 1546424403.098 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546424403.098 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1546424403.099 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424403.099 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.101 * * [misc]simplify: iters left: 5 (11 enodes) 1546424403.105 * * [misc]simplify: iters left: 4 (14 enodes) 1546424403.109 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424403.109 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1546424403.109 * * * * [misc]progress: [ 52 / 133 ] simplifiying candidate # 1546424403.109 * [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)))))) 1546424403.109 * * [misc]simplify: iters left: 6 (14 enodes) 1546424403.114 * * [misc]simplify: iters left: 5 (23 enodes) 1546424403.121 * * [misc]simplify: iters left: 4 (35 enodes) 1546424403.131 * * [misc]simplify: iters left: 3 (38 enodes) 1546424403.141 * * [misc]simplify: iters left: 2 (41 enodes) 1546424403.153 * [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)))))) 1546424403.153 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (* (/ (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))))))))) 1546424403.153 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.153 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.157 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.161 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.166 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.166 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (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))))))))) 1546424403.167 * * * * [misc]progress: [ 53 / 133 ] simplifiying candidate # 1546424403.167 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.167 * * [misc]simplify: iters left: 6 (13 enodes) 1546424403.171 * * [misc]simplify: iters left: 5 (18 enodes) 1546424403.177 * * [misc]simplify: iters left: 4 (23 enodes) 1546424403.183 * * [misc]simplify: iters left: 3 (24 enodes) 1546424403.190 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.191 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (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))))))))) 1546424403.191 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.191 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.195 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.199 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.204 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.204 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (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))))))))) 1546424403.204 * * * * [misc]progress: [ 54 / 133 ] simplifiying candidate # 1546424403.204 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546424403.204 * * [misc]simplify: iters left: 6 (6 enodes) 1546424403.206 * * [misc]simplify: iters left: 5 (10 enodes) 1546424403.210 * * [misc]simplify: iters left: 4 (16 enodes) 1546424403.214 * * [misc]simplify: iters left: 3 (18 enodes) 1546424403.217 * * [misc]simplify: iters left: 2 (23 enodes) 1546424403.223 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546424403.223 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424403.223 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.223 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.226 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.230 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.235 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.235 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424403.235 * * * * [misc]progress: [ 55 / 133 ] simplifiying candidate # 1546424403.236 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546424403.236 * * [misc]simplify: iters left: 5 (9 enodes) 1546424403.238 * * [misc]simplify: iters left: 4 (11 enodes) 1546424403.241 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546424403.241 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1546424403.241 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424403.241 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.244 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.248 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424403.249 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1546424403.249 * * * * [misc]progress: [ 56 / 133 ] simplifiying candidate # 1546424403.249 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546424403.249 * * [misc]simplify: iters left: 5 (9 enodes) 1546424403.254 * * [misc]simplify: iters left: 4 (11 enodes) 1546424403.257 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546424403.257 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1546424403.258 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424403.258 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.261 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.264 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424403.265 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1546424403.265 * * * * [misc]progress: [ 57 / 133 ] simplifiying candidate # 1546424403.265 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546424403.265 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.268 * * [misc]simplify: iters left: 5 (12 enodes) 1546424403.271 * * [misc]simplify: iters left: 4 (15 enodes) 1546424403.276 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546424403.276 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1546424403.276 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424403.276 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.279 * * [misc]simplify: iters left: 5 (11 enodes) 1546424403.282 * * [misc]simplify: iters left: 4 (14 enodes) 1546424403.286 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424403.287 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1546424403.287 * * * * [misc]progress: [ 58 / 133 ] simplifiying candidate # 1546424403.287 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424403.287 * * [misc]simplify: iters left: 6 (13 enodes) 1546424403.291 * * [misc]simplify: iters left: 5 (18 enodes) 1546424403.294 * * [misc]simplify: iters left: 4 (21 enodes) 1546424403.296 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424403.296 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (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))))))))) 1546424403.297 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.297 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.298 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.300 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.303 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.303 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (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))))))))) 1546424403.303 * * * * [misc]progress: [ 59 / 133 ] simplifiying candidate # 1546424403.303 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.303 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.305 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.307 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.310 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.311 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1546424403.311 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.311 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.313 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.315 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.317 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.317 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1546424403.317 * * * * [misc]progress: [ 60 / 133 ] simplifiying candidate # 1546424403.317 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546424403.317 * * [misc]simplify: iters left: 4 (5 enodes) 1546424403.318 * * [misc]simplify: iters left: 3 (7 enodes) 1546424403.320 * * [misc]simplify: iters left: 2 (9 enodes) 1546424403.320 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546424403.320 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424403.321 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.321 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.322 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.324 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.326 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.326 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424403.326 * * * * [misc]progress: [ 61 / 133 ] simplifiying candidate # 1546424403.327 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546424403.327 * * [misc]simplify: iters left: 5 (7 enodes) 1546424403.328 * * [misc]simplify: iters left: 4 (11 enodes) 1546424403.329 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546424403.329 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1546424403.329 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546424403.329 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.331 * * [misc]simplify: iters left: 5 (12 enodes) 1546424403.333 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546424403.333 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1546424403.333 * * * * [misc]progress: [ 62 / 133 ] simplifiying candidate # 1546424403.334 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546424403.334 * * [misc]simplify: iters left: 5 (7 enodes) 1546424403.336 * * [misc]simplify: iters left: 4 (11 enodes) 1546424403.339 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546424403.339 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1546424403.340 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546424403.340 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.342 * * [misc]simplify: iters left: 5 (12 enodes) 1546424403.346 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546424403.346 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1546424403.346 * * * * [misc]progress: [ 63 / 133 ] simplifiying candidate # 1546424403.346 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1546424403.346 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.348 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.350 * * [misc]simplify: iters left: 4 (16 enodes) 1546424403.352 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1546424403.352 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1546424403.352 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546424403.352 * * [misc]simplify: iters left: 6 (8 enodes) 1546424403.353 * * [misc]simplify: iters left: 5 (10 enodes) 1546424403.354 * * [misc]simplify: iters left: 4 (13 enodes) 1546424403.356 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546424403.356 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1546424403.356 * * * * [misc]progress: [ 64 / 133 ] simplifiying candidate # 1546424403.356 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546424403.356 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.358 * * [misc]simplify: iters left: 5 (19 enodes) 1546424403.361 * * [misc]simplify: iters left: 4 (22 enodes) 1546424403.363 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424403.363 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (/ 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))))))))) 1546424403.364 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.364 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.365 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.367 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.369 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.369 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 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))))))))) 1546424403.370 * * * * [misc]progress: [ 65 / 133 ] simplifiying candidate # 1546424403.370 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.370 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.371 * * [misc]simplify: iters left: 5 (16 enodes) 1546424403.373 * * [misc]simplify: iters left: 4 (19 enodes) 1546424403.376 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546424403.376 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1546424403.377 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.377 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.380 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.384 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.389 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.389 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1546424403.389 * * * * [misc]progress: [ 66 / 133 ] simplifiying candidate # 1546424403.389 * [enter]simplify: Simplifying (/ 1 1) 1546424403.389 * * [misc]simplify: iters left: 2 (2 enodes) 1546424403.390 * * [misc]simplify: iters left: 1 (4 enodes) 1546424403.391 * [exit]simplify: Simplified to 1 1546424403.391 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424403.391 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.391 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.394 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.398 * * [misc]simplify: iters left: 4 (16 enodes) 1546424403.401 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.401 * [misc]simplify: Simplified (2 2 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)))))))) 1546424403.401 * * * * [misc]progress: [ 67 / 133 ] simplifiying candidate # 1546424403.401 * * * * [misc]progress: [ 68 / 133 ] simplifiying candidate # 1546424403.401 * * * * [misc]progress: [ 69 / 133 ] simplifiying candidate # 1546424403.401 * * * * [misc]progress: [ 70 / 133 ] simplifiying candidate # 1546424403.401 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546424403.401 * * [misc]simplify: iters left: 5 (7 enodes) 1546424403.403 * * [misc]simplify: iters left: 4 (10 enodes) 1546424403.404 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546424403.404 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1546424403.404 * * * * [misc]progress: [ 71 / 133 ] simplifiying candidate # 1546424403.404 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546424403.404 * * [misc]simplify: iters left: 5 (7 enodes) 1546424403.405 * * [misc]simplify: iters left: 4 (10 enodes) 1546424403.407 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546424403.407 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1546424403.407 * * * * [misc]progress: [ 72 / 133 ] simplifiying candidate # 1546424403.407 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1546424403.407 * * [misc]simplify: iters left: 5 (6 enodes) 1546424403.408 * * [misc]simplify: iters left: 4 (8 enodes) 1546424403.409 * * [misc]simplify: iters left: 3 (11 enodes) 1546424403.410 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1546424403.410 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1546424403.411 * * * * [misc]progress: [ 73 / 133 ] simplifiying candidate # 1546424403.411 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.411 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.412 * * [misc]simplify: iters left: 5 (12 enodes) 1546424403.414 * * [misc]simplify: iters left: 4 (15 enodes) 1546424403.416 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.416 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (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)))))))) 1546424403.416 * * * * [misc]progress: [ 74 / 133 ] simplifiying candidate # 1546424403.416 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.416 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.417 * * [misc]simplify: iters left: 5 (12 enodes) 1546424403.419 * * [misc]simplify: iters left: 4 (15 enodes) 1546424403.421 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.421 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424403.421 * * * * [misc]progress: [ 75 / 133 ] simplifiying candidate # 1546424403.421 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546424403.421 * * [misc]simplify: iters left: 5 (8 enodes) 1546424403.422 * * [misc]simplify: iters left: 4 (11 enodes) 1546424403.424 * * [misc]simplify: iters left: 3 (14 enodes) 1546424403.426 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546424403.426 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424403.426 * * * * [misc]progress: [ 76 / 133 ] simplifiying candidate # 1546424403.426 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546424403.426 * * [misc]simplify: iters left: 4 (4 enodes) 1546424403.426 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546424403.427 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1546424403.427 * * * * [misc]progress: [ 77 / 133 ] simplifiying candidate # 1546424403.427 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546424403.427 * * [misc]simplify: iters left: 2 (3 enodes) 1546424403.427 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546424403.427 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1546424403.427 * * * * [misc]progress: [ 78 / 133 ] simplifiying candidate # 1546424403.427 * * * * [misc]progress: [ 79 / 133 ] simplifiying candidate # 1546424403.427 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546424403.427 * * [misc]simplify: iters left: 3 (6 enodes) 1546424403.428 * * [misc]simplify: iters left: 2 (7 enodes) 1546424403.429 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546424403.429 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2)))))) 1546424403.429 * * * * [misc]progress: [ 80 / 133 ] simplifiying candidate # 1546424403.429 * * * * [misc]progress: [ 81 / 133 ] simplifiying candidate # 1546424403.429 * * * * [misc]progress: [ 82 / 133 ] simplifiying candidate # 1546424403.429 * * * * [misc]progress: [ 83 / 133 ] simplifiying candidate # 1546424403.430 * [enter]simplify: Simplifying (- 1) 1546424403.430 * * [misc]simplify: iters left: 2 (2 enodes) 1546424403.430 * * [misc]simplify: iters left: 1 (5 enodes) 1546424403.431 * [exit]simplify: Simplified to -1 1546424403.431 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) -1))) 1546424403.431 * * * * [misc]progress: [ 84 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 85 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 86 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 87 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 88 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 89 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 90 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 91 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 92 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 93 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 94 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 95 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 96 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 97 / 133 ] simplifiying candidate # 1546424403.431 * * * * [misc]progress: [ 98 / 133 ] simplifiying candidate # 1546424403.431 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.432 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.433 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.435 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.437 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.437 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (* (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)))))))) 1546424403.437 * * * * [misc]progress: [ 99 / 133 ] simplifiying candidate # 1546424403.438 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.438 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.439 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.441 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.443 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.443 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424403.444 * * * * [misc]progress: [ 100 / 133 ] simplifiying candidate # 1546424403.444 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424403.444 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.446 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.450 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424403.450 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546424403.450 * * * * [misc]progress: [ 101 / 133 ] simplifiying candidate # 1546424403.450 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424403.450 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.453 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.456 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424403.456 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546424403.456 * * * * [misc]progress: [ 102 / 133 ] simplifiying candidate # 1546424403.456 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424403.456 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.459 * * [misc]simplify: iters left: 5 (11 enodes) 1546424403.462 * * [misc]simplify: iters left: 4 (14 enodes) 1546424403.465 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424403.465 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546424403.465 * * * * [misc]progress: [ 103 / 133 ] simplifiying candidate # 1546424403.465 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.465 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.468 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.472 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.476 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.477 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (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)))))))) 1546424403.477 * * * * [misc]progress: [ 104 / 133 ] simplifiying candidate # 1546424403.477 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.477 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.480 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.483 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.488 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.488 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (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)))))))) 1546424403.488 * * * * [misc]progress: [ 105 / 133 ] simplifiying candidate # 1546424403.488 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.488 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.491 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.494 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.498 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.499 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424403.499 * * * * [misc]progress: [ 106 / 133 ] simplifiying candidate # 1546424403.499 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424403.500 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.503 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.506 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424403.506 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546424403.506 * * * * [misc]progress: [ 107 / 133 ] simplifiying candidate # 1546424403.507 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546424403.507 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.509 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.513 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546424403.513 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546424403.513 * * * * [misc]progress: [ 108 / 133 ] simplifiying candidate # 1546424403.513 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424403.513 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.515 * * [misc]simplify: iters left: 5 (11 enodes) 1546424403.518 * * [misc]simplify: iters left: 4 (14 enodes) 1546424403.522 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546424403.522 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546424403.522 * * * * [misc]progress: [ 109 / 133 ] simplifiying candidate # 1546424403.522 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.522 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.525 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.529 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.533 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.533 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (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)))))))) 1546424403.533 * * * * [misc]progress: [ 110 / 133 ] simplifiying candidate # 1546424403.533 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.533 * * [misc]simplify: iters left: 6 (12 enodes) 1546424403.536 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.541 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.545 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.545 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424403.545 * * * * [misc]progress: [ 111 / 133 ] simplifiying candidate # 1546424403.545 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.545 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.547 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.549 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.551 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.551 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424403.551 * * * * [misc]progress: [ 112 / 133 ] simplifiying candidate # 1546424403.552 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546424403.552 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.553 * * [misc]simplify: iters left: 5 (12 enodes) 1546424403.555 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546424403.555 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1546424403.555 * * * * [misc]progress: [ 113 / 133 ] simplifiying candidate # 1546424403.555 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546424403.555 * * [misc]simplify: iters left: 6 (9 enodes) 1546424403.556 * * [misc]simplify: iters left: 5 (12 enodes) 1546424403.558 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546424403.558 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1546424403.558 * * * * [misc]progress: [ 114 / 133 ] simplifiying candidate # 1546424403.558 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546424403.558 * * [misc]simplify: iters left: 6 (8 enodes) 1546424403.559 * * [misc]simplify: iters left: 5 (10 enodes) 1546424403.561 * * [misc]simplify: iters left: 4 (13 enodes) 1546424403.563 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546424403.563 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546424403.563 * * * * [misc]progress: [ 115 / 133 ] simplifiying candidate # 1546424403.563 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.563 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.565 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.566 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.569 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.569 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 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)))))))) 1546424403.569 * * * * [misc]progress: [ 116 / 133 ] simplifiying candidate # 1546424403.569 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.569 * * [misc]simplify: iters left: 6 (11 enodes) 1546424403.571 * * [misc]simplify: iters left: 5 (14 enodes) 1546424403.573 * * [misc]simplify: iters left: 4 (17 enodes) 1546424403.575 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546424403.575 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546424403.575 * * * * [misc]progress: [ 117 / 133 ] simplifiying candidate # 1546424403.575 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.575 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.577 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.579 * * [misc]simplify: iters left: 4 (16 enodes) 1546424403.581 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.582 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424403.582 * * * * [misc]progress: [ 118 / 133 ] simplifiying candidate # 1546424403.582 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.582 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.584 * * [misc]simplify: iters left: 5 (13 enodes) 1546424403.588 * * [misc]simplify: iters left: 4 (16 enodes) 1546424403.593 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.593 * [misc]simplify: Simplified (2 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))))))) 1546424403.593 * * * * [misc]progress: [ 119 / 133 ] simplifiying candidate # 1546424403.593 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1546424403.593 * * [misc]simplify: iters left: 6 (10 enodes) 1546424403.597 * * [misc]simplify: iters left: 5 (15 enodes) 1546424403.601 * * [misc]simplify: iters left: 4 (18 enodes) 1546424403.607 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1546424403.607 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546424403.607 * * * * [misc]progress: [ 120 / 133 ] simplifiying candidate # 1546424403.608 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546424403.608 * * [misc]simplify: iters left: 3 (6 enodes) 1546424403.609 * * [misc]simplify: iters left: 2 (7 enodes) 1546424403.610 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546424403.610 * [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))) (pow (* n 2) (/ k 2))))) 1546424403.610 * * * * [misc]progress: [ 121 / 133 ] simplifiying candidate # 1546424403.610 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546424403.610 * * [misc]simplify: iters left: 5 (8 enodes) 1546424403.612 * * [misc]simplify: iters left: 4 (11 enodes) 1546424403.613 * * [misc]simplify: iters left: 3 (14 enodes) 1546424403.615 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546424403.615 * [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)))))) 1546424403.615 * * * * [misc]progress: [ 122 / 133 ] simplifiying candidate # 1546424403.616 * [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)))) 1546424403.616 * * [misc]simplify: iters left: 6 (18 enodes) 1546424403.619 * * [misc]simplify: iters left: 5 (39 enodes) 1546424403.627 * * [misc]simplify: iters left: 4 (110 enodes) 1546424403.652 * * [misc]simplify: iters left: 3 (321 enodes) 1546424403.895 * [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))) 1546424403.896 * [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))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424403.896 * * * * [misc]progress: [ 123 / 133 ] simplifiying candidate # 1546424403.896 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546424403.896 * * [misc]simplify: iters left: 5 (6 enodes) 1546424403.898 * * [misc]simplify: iters left: 4 (9 enodes) 1546424403.900 * * [misc]simplify: iters left: 3 (17 enodes) 1546424403.903 * * [misc]simplify: iters left: 2 (24 enodes) 1546424403.906 * * [misc]simplify: iters left: 1 (28 enodes) 1546424403.914 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1546424403.914 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424403.914 * * * * [misc]progress: [ 124 / 133 ] simplifiying candidate # 1546424403.914 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546424403.914 * * [misc]simplify: iters left: 5 (6 enodes) 1546424403.915 * * [misc]simplify: iters left: 4 (9 enodes) 1546424403.917 * * [misc]simplify: iters left: 3 (17 enodes) 1546424403.919 * * [misc]simplify: iters left: 2 (24 enodes) 1546424403.921 * * [misc]simplify: iters left: 1 (28 enodes) 1546424403.928 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1546424403.928 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546424403.928 * * * * [misc]progress: [ 125 / 133 ] simplifiying candidate # 1546424403.928 * [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))))) 1546424403.929 * * [misc]simplify: iters left: 6 (35 enodes) 1546424403.943 * * [misc]simplify: iters left: 5 (102 enodes) 1546424403.969 * * [misc]simplify: iters left: 4 (321 enodes) 1546424404.180 * [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)))))) 1546424404.180 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (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)))))))))) 1546424404.180 * * * * [misc]progress: [ 126 / 133 ] simplifiying candidate # 1546424404.180 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1546424404.180 * * [misc]simplify: iters left: 6 (13 enodes) 1546424404.185 * * [misc]simplify: iters left: 5 (27 enodes) 1546424404.194 * * [misc]simplify: iters left: 4 (53 enodes) 1546424404.214 * * [misc]simplify: iters left: 3 (124 enodes) 1546424404.289 * * [misc]simplify: iters left: 2 (394 enodes) 1546424404.757 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1546424404.757 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2)))))) 1546424404.757 * * * * [misc]progress: [ 127 / 133 ] simplifiying candidate # 1546424404.757 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1546424404.757 * * [misc]simplify: iters left: 6 (13 enodes) 1546424404.760 * * [misc]simplify: iters left: 5 (24 enodes) 1546424404.764 * * [misc]simplify: iters left: 4 (54 enodes) 1546424404.777 * * [misc]simplify: iters left: 3 (151 enodes) 1546424404.830 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1546424404.830 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))))))) 1546424404.830 * * * * [misc]progress: [ 128 / 133 ] simplifiying candidate # 1546424404.831 * [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)))))))))))) 1546424404.831 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 +nan.0))) 1546424404.831 * * * * [misc]progress: [ 129 / 133 ] simplifiying candidate # 1546424404.831 * [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))))))))))) 1546424404.831 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 +nan.0))) 1546424404.831 * * * * [misc]progress: [ 130 / 133 ] simplifiying candidate # 1546424404.831 * [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))))))))) 1546424404.831 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 +nan.0))) 1546424404.831 * * * * [misc]progress: [ 131 / 133 ] simplifiying candidate # 1546424404.831 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n k))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* (log n) k)))) (- (+ (* +nan.0 (* (sqrt 2) n)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n k)))) (- (* +nan.0 (* (sqrt 2) (pow n 2)))))))))))) 1546424404.831 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546424404.831 * * * * [misc]progress: [ 132 / 133 ] simplifiying candidate # 1546424404.831 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1546424404.831 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546424404.831 * * * * [misc]progress: [ 133 / 133 ] simplifiying candidate # 1546424404.832 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1546424404.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546424404.832 * * * [misc]progress: adding candidates to table 1546424406.729 * [misc]progress: [Phase 3 of 3] Extracting. 1546424406.729 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1546424406.730 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1546424406.730 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1546424406.799 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1546424406.883 * * * [misc]regime: Found split indices: #