1545729216.883 * [misc]progress: [Phase 1 of 3] Setting up. 1545729216.883 * * * [misc]progress: [1/2] Preparing points 1545729216.883 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545729216.979 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729216.979 * * * * [misc]points: Sampling 193 additional inputs, on iter 1 have 63 / 256 1545729217.026 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.026 * * * * [misc]points: Sampling 154 additional inputs, on iter 2 have 102 / 256 1545729217.097 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.097 * * * * [misc]points: Sampling 124 additional inputs, on iter 3 have 132 / 256 1545729217.141 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.141 * * * * [misc]points: Sampling 91 additional inputs, on iter 4 have 165 / 256 1545729217.171 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.172 * * * * [misc]points: Sampling 68 additional inputs, on iter 5 have 188 / 256 1545729217.189 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.189 * * * * [misc]points: Sampling 57 additional inputs, on iter 6 have 199 / 256 1545729217.242 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.242 * * * * [misc]points: Sampling 47 additional inputs, on iter 7 have 209 / 256 1545729217.269 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.270 * * * * [misc]points: Sampling 34 additional inputs, on iter 8 have 222 / 256 1545729217.287 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.287 * * * * [misc]points: Sampling 21 additional inputs, on iter 9 have 235 / 256 1545729217.299 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.299 * * * * [misc]points: Sampling 15 additional inputs, on iter 10 have 241 / 256 1545729217.308 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.308 * * * * [misc]points: Sampling 14 additional inputs, on iter 11 have 242 / 256 1545729217.313 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.313 * * * * [misc]points: Sampling 8 additional inputs, on iter 12 have 248 / 256 1545729217.317 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.317 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 254 / 256 1545729217.320 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.320 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 255 / 256 1545729217.323 * * * * [misc]points: Filtering points with unrepresentable outputs 1545729217.323 * * * * [exit]points: Sampled 256 points with exact outputs 1545729217.323 * * * [misc]progress: [2/2] Setting up program. 1545729217.326 * [misc]progress: [Phase 2 of 3] Improving. 1545729217.327 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545729217.327 * * [misc]simplify: iters left: 6 (13 enodes) 1545729217.329 * * [misc]simplify: iters left: 5 (28 enodes) 1545729217.333 * * [misc]simplify: iters left: 4 (44 enodes) 1545729217.343 * * [misc]simplify: iters left: 3 (54 enodes) 1545729217.353 * * [misc]simplify: iters left: 2 (57 enodes) 1545729217.365 * * [misc]simplify: iters left: 1 (65 enodes) 1545729217.405 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545729217.416 * * [misc]progress: iteration 1 / 4 1545729217.416 * * * [misc]progress: picking best candidate 1545729217.424 * * * * [misc]pick: Picked # 1545729217.424 * * * [misc]progress: localizing error 1545729217.446 * * * [misc]progress: generating rewritten candidates 1545729217.446 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) 1545729217.447 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1545729217.452 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) 1545729217.454 * * * [misc]progress: generating series expansions 1545729217.454 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) 1545729217.454 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545729217.454 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545729217.454 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545729217.454 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.454 * [misc]backup-simplify: Simplify 2 into 2 1545729217.454 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729217.454 * [misc]taylor: Taking taylor expansion of n in n 1545729217.454 * [misc]backup-simplify: Simplify 0 into 0 1545729217.455 * [misc]backup-simplify: Simplify 1 into 1 1545729217.455 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.455 * [misc]backup-simplify: Simplify PI into PI 1545729217.455 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545729217.455 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.455 * [misc]backup-simplify: Simplify 2 into 2 1545729217.455 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729217.455 * [misc]taylor: Taking taylor expansion of n in n 1545729217.455 * [misc]backup-simplify: Simplify 0 into 0 1545729217.455 * [misc]backup-simplify: Simplify 1 into 1 1545729217.455 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.455 * [misc]backup-simplify: Simplify PI into PI 1545729217.455 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729217.455 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729217.455 * [misc]backup-simplify: Simplify 0 into 0 1545729217.456 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729217.456 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545729217.456 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.457 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545729217.457 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545729217.458 * [misc]backup-simplify: Simplify 0 into 0 1545729217.458 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545729217.459 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545729217.459 * [misc]backup-simplify: Simplify 0 into 0 1545729217.461 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545729217.462 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545729217.462 * [misc]backup-simplify: Simplify 0 into 0 1545729217.464 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545729217.465 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545729217.465 * [misc]backup-simplify: Simplify 0 into 0 1545729217.467 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545729217.469 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545729217.469 * [misc]backup-simplify: Simplify 0 into 0 1545729217.471 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545729217.474 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545729217.474 * [misc]backup-simplify: Simplify 0 into 0 1545729217.474 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545729217.474 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545729217.474 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545729217.474 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545729217.474 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.474 * [misc]backup-simplify: Simplify 2 into 2 1545729217.474 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.474 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.474 * [misc]backup-simplify: Simplify PI into PI 1545729217.474 * [misc]taylor: Taking taylor expansion of n in n 1545729217.474 * [misc]backup-simplify: Simplify 0 into 0 1545729217.474 * [misc]backup-simplify: Simplify 1 into 1 1545729217.474 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.475 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545729217.475 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.475 * [misc]backup-simplify: Simplify 2 into 2 1545729217.475 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.475 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.475 * [misc]backup-simplify: Simplify PI into PI 1545729217.475 * [misc]taylor: Taking taylor expansion of n in n 1545729217.475 * [misc]backup-simplify: Simplify 0 into 0 1545729217.475 * [misc]backup-simplify: Simplify 1 into 1 1545729217.475 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.475 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.475 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545729217.476 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545729217.476 * [misc]backup-simplify: Simplify 0 into 0 1545729217.477 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.478 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545729217.478 * [misc]backup-simplify: Simplify 0 into 0 1545729217.479 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.479 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545729217.479 * [misc]backup-simplify: Simplify 0 into 0 1545729217.480 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545729217.482 * [misc]backup-simplify: Simplify 0 into 0 1545729217.488 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.490 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545729217.490 * [misc]backup-simplify: Simplify 0 into 0 1545729217.491 * [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 1545729217.493 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545729217.493 * [misc]backup-simplify: Simplify 0 into 0 1545729217.493 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545729217.494 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545729217.494 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545729217.494 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545729217.494 * [misc]taylor: Taking taylor expansion of -2 in n 1545729217.494 * [misc]backup-simplify: Simplify -2 into -2 1545729217.494 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.494 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.494 * [misc]backup-simplify: Simplify PI into PI 1545729217.494 * [misc]taylor: Taking taylor expansion of n in n 1545729217.494 * [misc]backup-simplify: Simplify 0 into 0 1545729217.494 * [misc]backup-simplify: Simplify 1 into 1 1545729217.494 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.494 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545729217.494 * [misc]taylor: Taking taylor expansion of -2 in n 1545729217.494 * [misc]backup-simplify: Simplify -2 into -2 1545729217.494 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.494 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.494 * [misc]backup-simplify: Simplify PI into PI 1545729217.494 * [misc]taylor: Taking taylor expansion of n in n 1545729217.494 * [misc]backup-simplify: Simplify 0 into 0 1545729217.494 * [misc]backup-simplify: Simplify 1 into 1 1545729217.494 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.494 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545729217.495 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545729217.495 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545729217.496 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545729217.496 * [misc]backup-simplify: Simplify 0 into 0 1545729217.496 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.497 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545729217.497 * [misc]backup-simplify: Simplify 0 into 0 1545729217.498 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.499 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545729217.499 * [misc]backup-simplify: Simplify 0 into 0 1545729217.500 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.502 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545729217.502 * [misc]backup-simplify: Simplify 0 into 0 1545729217.505 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.507 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545729217.507 * [misc]backup-simplify: Simplify 0 into 0 1545729217.508 * [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 1545729217.510 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545729217.510 * [misc]backup-simplify: Simplify 0 into 0 1545729217.511 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545729217.511 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1545729217.511 * [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)))) 1545729217.511 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545729217.511 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545729217.511 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545729217.511 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.511 * [misc]taylor: Taking taylor expansion of k in k 1545729217.511 * [misc]backup-simplify: Simplify 0 into 0 1545729217.511 * [misc]backup-simplify: Simplify 1 into 1 1545729217.511 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.511 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729217.512 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729217.512 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545729217.512 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545729217.512 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545729217.512 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729217.512 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.512 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729217.512 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.512 * [misc]taylor: Taking taylor expansion of k in k 1545729217.512 * [misc]backup-simplify: Simplify 0 into 0 1545729217.512 * [misc]backup-simplify: Simplify 1 into 1 1545729217.512 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545729217.512 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545729217.512 * [misc]taylor: Taking taylor expansion of 2 in k 1545729217.512 * [misc]backup-simplify: Simplify 2 into 2 1545729217.512 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545729217.512 * [misc]taylor: Taking taylor expansion of n in k 1545729217.512 * [misc]backup-simplify: Simplify n into n 1545729217.512 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.512 * [misc]backup-simplify: Simplify PI into PI 1545729217.512 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545729217.512 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545729217.512 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545729217.512 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729217.512 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.512 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729217.513 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545729217.513 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545729217.513 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545729217.513 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545729217.513 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.513 * [misc]taylor: Taking taylor expansion of k in n 1545729217.513 * [misc]backup-simplify: Simplify k into k 1545729217.513 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.513 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545729217.513 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729217.513 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545729217.513 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545729217.513 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545729217.513 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545729217.513 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729217.513 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.513 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729217.513 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.513 * [misc]taylor: Taking taylor expansion of k in n 1545729217.513 * [misc]backup-simplify: Simplify k into k 1545729217.513 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545729217.514 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545729217.514 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.514 * [misc]backup-simplify: Simplify 2 into 2 1545729217.514 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729217.514 * [misc]taylor: Taking taylor expansion of n in n 1545729217.514 * [misc]backup-simplify: Simplify 0 into 0 1545729217.514 * [misc]backup-simplify: Simplify 1 into 1 1545729217.514 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.514 * [misc]backup-simplify: Simplify PI into PI 1545729217.514 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729217.514 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729217.514 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729217.515 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545729217.515 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.515 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729217.515 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729217.515 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729217.516 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.516 * [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)))) 1545729217.516 * [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))))) 1545729217.516 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545729217.516 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545729217.516 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.516 * [misc]taylor: Taking taylor expansion of k in n 1545729217.517 * [misc]backup-simplify: Simplify k into k 1545729217.517 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.517 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545729217.517 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729217.517 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545729217.517 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545729217.517 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545729217.517 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545729217.517 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729217.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.517 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729217.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.517 * [misc]taylor: Taking taylor expansion of k in n 1545729217.517 * [misc]backup-simplify: Simplify k into k 1545729217.517 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545729217.517 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545729217.517 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.517 * [misc]backup-simplify: Simplify 2 into 2 1545729217.517 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729217.517 * [misc]taylor: Taking taylor expansion of n in n 1545729217.517 * [misc]backup-simplify: Simplify 0 into 0 1545729217.517 * [misc]backup-simplify: Simplify 1 into 1 1545729217.517 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.517 * [misc]backup-simplify: Simplify PI into PI 1545729217.517 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729217.517 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729217.518 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729217.518 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545729217.518 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.518 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729217.518 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729217.519 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729217.519 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.519 * [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)))) 1545729217.520 * [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))))) 1545729217.520 * [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))) 1545729217.520 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545729217.520 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545729217.520 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545729217.520 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729217.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.520 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729217.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.520 * [misc]taylor: Taking taylor expansion of k in k 1545729217.520 * [misc]backup-simplify: Simplify 0 into 0 1545729217.520 * [misc]backup-simplify: Simplify 1 into 1 1545729217.520 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545729217.520 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729217.520 * [misc]taylor: Taking taylor expansion of n in k 1545729217.520 * [misc]backup-simplify: Simplify n into n 1545729217.520 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729217.520 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545729217.521 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545729217.521 * [misc]taylor: Taking taylor expansion of 2 in k 1545729217.521 * [misc]backup-simplify: Simplify 2 into 2 1545729217.521 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.521 * [misc]backup-simplify: Simplify PI into PI 1545729217.521 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.521 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.521 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729217.521 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.521 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729217.522 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.522 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545729217.522 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545729217.522 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545729217.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.522 * [misc]taylor: Taking taylor expansion of k in k 1545729217.522 * [misc]backup-simplify: Simplify 0 into 0 1545729217.522 * [misc]backup-simplify: Simplify 1 into 1 1545729217.523 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.523 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729217.523 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729217.523 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545729217.523 * [misc]backup-simplify: Simplify 0 into 0 1545729217.524 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545729217.525 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545729217.526 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545729217.526 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545729217.527 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.527 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.527 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.527 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545729217.528 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729217.529 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545729217.529 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.529 * [misc]backup-simplify: Simplify 0 into 0 1545729217.529 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545729217.530 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545729217.531 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545729217.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.532 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729217.532 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729217.532 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729217.532 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545729217.533 * [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))))))) 1545729217.534 * [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))))))) 1545729217.535 * [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))))))) 1545729217.536 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545729217.537 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545729217.540 * [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 1545729217.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545729217.540 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.540 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.541 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545729217.542 * [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 1545729217.542 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.543 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545729217.544 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545729217.544 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.544 * [misc]backup-simplify: Simplify 0 into 0 1545729217.544 * [misc]backup-simplify: Simplify 0 into 0 1545729217.544 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729217.544 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545729217.545 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545729217.546 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545729217.549 * [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 1545729217.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.549 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729217.549 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.550 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545729217.551 * [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))))) 1545729217.554 * [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)))))))) 1545729217.556 * [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)))))))) 1545729217.557 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545729217.558 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545729217.566 * [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 1545729217.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545729217.567 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.567 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.568 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545729217.572 * [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 1545729217.572 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.573 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545729217.574 * [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 1545729217.574 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.574 * [misc]backup-simplify: Simplify 0 into 0 1545729217.574 * [misc]backup-simplify: Simplify 0 into 0 1545729217.574 * [misc]backup-simplify: Simplify 0 into 0 1545729217.575 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.576 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545729217.579 * [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 1545729217.580 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545729217.588 * [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 1545729217.588 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.588 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545729217.589 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.589 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.590 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545729217.594 * [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))))))) 1545729217.602 * [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)))))))))))))) 1545729217.608 * [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)))))))))))))) 1545729217.614 * [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)))))))))))))))))))))) 1545729217.615 * [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))))) 1545729217.615 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545729217.615 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545729217.615 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545729217.615 * [misc]taylor: Taking taylor expansion of k in k 1545729217.615 * [misc]backup-simplify: Simplify 0 into 0 1545729217.615 * [misc]backup-simplify: Simplify 1 into 1 1545729217.615 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729217.615 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729217.615 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729217.615 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545729217.615 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545729217.615 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729217.615 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.615 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.616 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729217.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.616 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.616 * [misc]taylor: Taking taylor expansion of k in k 1545729217.616 * [misc]backup-simplify: Simplify 0 into 0 1545729217.616 * [misc]backup-simplify: Simplify 1 into 1 1545729217.616 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.616 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545729217.616 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545729217.616 * [misc]taylor: Taking taylor expansion of 2 in k 1545729217.616 * [misc]backup-simplify: Simplify 2 into 2 1545729217.616 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545729217.616 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.616 * [misc]backup-simplify: Simplify PI into PI 1545729217.616 * [misc]taylor: Taking taylor expansion of n in k 1545729217.616 * [misc]backup-simplify: Simplify n into n 1545729217.616 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545729217.616 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545729217.616 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545729217.616 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729217.616 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729217.616 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729217.616 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545729217.617 * [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)))) 1545729217.617 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of k in n 1545729217.617 * [misc]backup-simplify: Simplify k into k 1545729217.617 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545729217.617 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545729217.617 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.617 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.617 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of k in n 1545729217.617 * [misc]backup-simplify: Simplify k into k 1545729217.617 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.617 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.617 * [misc]backup-simplify: Simplify 2 into 2 1545729217.617 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.617 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.617 * [misc]backup-simplify: Simplify PI into PI 1545729217.617 * [misc]taylor: Taking taylor expansion of n in n 1545729217.617 * [misc]backup-simplify: Simplify 0 into 0 1545729217.617 * [misc]backup-simplify: Simplify 1 into 1 1545729217.617 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.617 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.618 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.618 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729217.618 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729217.618 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729217.618 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.619 * [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))) 1545729217.619 * [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)))) 1545729217.619 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545729217.619 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545729217.619 * [misc]taylor: Taking taylor expansion of k in n 1545729217.619 * [misc]backup-simplify: Simplify k into k 1545729217.619 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545729217.619 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545729217.619 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729217.619 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545729217.619 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545729217.619 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729217.619 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.619 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729217.619 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.619 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.619 * [misc]taylor: Taking taylor expansion of k in n 1545729217.619 * [misc]backup-simplify: Simplify k into k 1545729217.620 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.620 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545729217.620 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545729217.620 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.620 * [misc]backup-simplify: Simplify 2 into 2 1545729217.620 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.620 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.620 * [misc]backup-simplify: Simplify PI into PI 1545729217.620 * [misc]taylor: Taking taylor expansion of n in n 1545729217.620 * [misc]backup-simplify: Simplify 0 into 0 1545729217.620 * [misc]backup-simplify: Simplify 1 into 1 1545729217.620 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.620 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.620 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.620 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729217.620 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729217.620 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729217.621 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.621 * [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))) 1545729217.622 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545729217.622 * [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)) 1545729217.622 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545729217.622 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545729217.622 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545729217.622 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729217.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.622 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729217.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.622 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.622 * [misc]taylor: Taking taylor expansion of k in k 1545729217.622 * [misc]backup-simplify: Simplify 0 into 0 1545729217.622 * [misc]backup-simplify: Simplify 1 into 1 1545729217.622 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.622 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545729217.622 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545729217.622 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545729217.623 * [misc]taylor: Taking taylor expansion of 2 in k 1545729217.623 * [misc]backup-simplify: Simplify 2 into 2 1545729217.623 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.623 * [misc]backup-simplify: Simplify PI into PI 1545729217.623 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.623 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.623 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729217.623 * [misc]taylor: Taking taylor expansion of n in k 1545729217.623 * [misc]backup-simplify: Simplify n into n 1545729217.623 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729217.623 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729217.623 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729217.623 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729217.623 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545729217.624 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545729217.624 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545729217.625 * [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)))) 1545729217.625 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545729217.625 * [misc]taylor: Taking taylor expansion of k in k 1545729217.625 * [misc]backup-simplify: Simplify 0 into 0 1545729217.625 * [misc]backup-simplify: Simplify 1 into 1 1545729217.625 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729217.625 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729217.626 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545729217.626 * [misc]backup-simplify: Simplify 0 into 0 1545729217.626 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545729217.627 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545729217.629 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545729217.629 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729217.629 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729217.629 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.629 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.629 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.630 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545729217.631 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729217.631 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545729217.631 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.631 * [misc]backup-simplify: Simplify 0 into 0 1545729217.631 * [misc]backup-simplify: Simplify 0 into 0 1545729217.632 * [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)))))) 1545729217.632 * [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)))))) 1545729217.633 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.634 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545729217.637 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545729217.637 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729217.637 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.637 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.638 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.638 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545729217.640 * [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 1545729217.640 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545729217.640 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545729217.641 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.641 * [misc]backup-simplify: Simplify 0 into 0 1545729217.641 * [misc]backup-simplify: Simplify 0 into 0 1545729217.641 * [misc]backup-simplify: Simplify 0 into 0 1545729217.641 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545729217.642 * [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)))))) 1545729217.642 * [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)))))) 1545729217.643 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.644 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545729217.649 * [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 1545729217.649 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.649 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545729217.649 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.650 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.650 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545729217.652 * [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 1545729217.653 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545729217.653 * [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 1545729217.653 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.653 * [misc]backup-simplify: Simplify 0 into 0 1545729217.653 * [misc]backup-simplify: Simplify 0 into 0 1545729217.653 * [misc]backup-simplify: Simplify 0 into 0 1545729217.653 * [misc]backup-simplify: Simplify 0 into 0 1545729217.654 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545729217.654 * [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)))))) 1545729217.655 * [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)))))) 1545729217.656 * [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)))))))) 1545729217.657 * [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))) 1545729217.657 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545729217.657 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.657 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of k in k 1545729217.657 * [misc]backup-simplify: Simplify 0 into 0 1545729217.657 * [misc]backup-simplify: Simplify 1 into 1 1545729217.657 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.657 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of -2 in k 1545729217.657 * [misc]backup-simplify: Simplify -2 into -2 1545729217.657 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545729217.657 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.657 * [misc]backup-simplify: Simplify PI into PI 1545729217.657 * [misc]taylor: Taking taylor expansion of n in k 1545729217.657 * [misc]backup-simplify: Simplify n into n 1545729217.657 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545729217.657 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545729217.657 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545729217.657 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729217.658 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729217.658 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545729217.658 * [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))) 1545729217.658 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545729217.658 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545729217.658 * [misc]taylor: Taking taylor expansion of -1 in k 1545729217.658 * [misc]backup-simplify: Simplify -1 into -1 1545729217.658 * [misc]taylor: Taking taylor expansion of k in k 1545729217.658 * [misc]backup-simplify: Simplify 0 into 0 1545729217.658 * [misc]backup-simplify: Simplify 1 into 1 1545729217.658 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545729217.658 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729217.658 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545729217.659 * [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)))) 1545729217.659 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.659 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of k in n 1545729217.659 * [misc]backup-simplify: Simplify k into k 1545729217.659 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.659 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of -2 in n 1545729217.659 * [misc]backup-simplify: Simplify -2 into -2 1545729217.659 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.659 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.659 * [misc]backup-simplify: Simplify PI into PI 1545729217.659 * [misc]taylor: Taking taylor expansion of n in n 1545729217.659 * [misc]backup-simplify: Simplify 0 into 0 1545729217.659 * [misc]backup-simplify: Simplify 1 into 1 1545729217.659 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.659 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545729217.660 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545729217.660 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729217.660 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729217.660 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545729217.660 * [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))) 1545729217.661 * [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)))) 1545729217.661 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545729217.661 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545729217.661 * [misc]taylor: Taking taylor expansion of -1 in n 1545729217.661 * [misc]backup-simplify: Simplify -1 into -1 1545729217.661 * [misc]taylor: Taking taylor expansion of k in n 1545729217.661 * [misc]backup-simplify: Simplify k into k 1545729217.661 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545729217.661 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545729217.661 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545729217.661 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545729217.662 * [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))) 1545729217.662 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.662 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of k in n 1545729217.662 * [misc]backup-simplify: Simplify k into k 1545729217.662 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.662 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of -2 in n 1545729217.662 * [misc]backup-simplify: Simplify -2 into -2 1545729217.662 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.662 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.662 * [misc]backup-simplify: Simplify PI into PI 1545729217.662 * [misc]taylor: Taking taylor expansion of n in n 1545729217.662 * [misc]backup-simplify: Simplify 0 into 0 1545729217.662 * [misc]backup-simplify: Simplify 1 into 1 1545729217.662 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.662 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545729217.663 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545729217.663 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729217.663 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729217.663 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545729217.664 * [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))) 1545729217.664 * [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)))) 1545729217.664 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545729217.664 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545729217.664 * [misc]taylor: Taking taylor expansion of -1 in n 1545729217.664 * [misc]backup-simplify: Simplify -1 into -1 1545729217.664 * [misc]taylor: Taking taylor expansion of k in n 1545729217.664 * [misc]backup-simplify: Simplify k into k 1545729217.664 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545729217.664 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545729217.664 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545729217.664 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545729217.665 * [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))) 1545729217.665 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545729217.665 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545729217.665 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545729217.665 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729217.665 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729217.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.665 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.665 * [misc]taylor: Taking taylor expansion of k in k 1545729217.665 * [misc]backup-simplify: Simplify 0 into 0 1545729217.665 * [misc]backup-simplify: Simplify 1 into 1 1545729217.665 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.665 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545729217.665 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545729217.665 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545729217.665 * [misc]taylor: Taking taylor expansion of -2 in k 1545729217.665 * [misc]backup-simplify: Simplify -2 into -2 1545729217.665 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.665 * [misc]backup-simplify: Simplify PI into PI 1545729217.665 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545729217.666 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545729217.666 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729217.666 * [misc]taylor: Taking taylor expansion of n in k 1545729217.666 * [misc]backup-simplify: Simplify n into n 1545729217.666 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729217.666 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729217.666 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729217.666 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545729217.666 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545729217.667 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545729217.667 * [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)))) 1545729217.667 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545729217.667 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545729217.667 * [misc]taylor: Taking taylor expansion of -1 in k 1545729217.667 * [misc]backup-simplify: Simplify -1 into -1 1545729217.667 * [misc]taylor: Taking taylor expansion of k in k 1545729217.667 * [misc]backup-simplify: Simplify 0 into 0 1545729217.667 * [misc]backup-simplify: Simplify 1 into 1 1545729217.667 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545729217.667 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729217.668 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545729217.668 * [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))))) 1545729217.668 * [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))))) 1545729217.669 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545729217.669 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545729217.671 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545729217.671 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729217.671 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729217.671 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.672 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545729217.672 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545729217.673 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729217.674 * [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 1545729217.674 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.674 * [misc]backup-simplify: Simplify 0 into 0 1545729217.674 * [misc]backup-simplify: Simplify 0 into 0 1545729217.674 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545729217.675 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545729217.675 * [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)))))) 1545729217.676 * [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)))))) 1545729217.677 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.677 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545729217.681 * [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 1545729217.681 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729217.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.683 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545729217.683 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545729217.686 * [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 1545729217.686 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.687 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545729217.688 * [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 1545729217.688 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.688 * [misc]backup-simplify: Simplify 0 into 0 1545729217.688 * [misc]backup-simplify: Simplify 0 into 0 1545729217.688 * [misc]backup-simplify: Simplify 0 into 0 1545729217.688 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.690 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545729217.691 * [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)))))) 1545729217.692 * [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)))))) 1545729217.695 * [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))))))))))) 1545729217.695 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) 1545729217.695 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545729217.695 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545729217.695 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545729217.695 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545729217.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545729217.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729217.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.695 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729217.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.695 * [misc]taylor: Taking taylor expansion of k in k 1545729217.695 * [misc]backup-simplify: Simplify 0 into 0 1545729217.695 * [misc]backup-simplify: Simplify 1 into 1 1545729217.695 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545729217.695 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545729217.696 * [misc]taylor: Taking taylor expansion of 2 in k 1545729217.696 * [misc]backup-simplify: Simplify 2 into 2 1545729217.696 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545729217.696 * [misc]taylor: Taking taylor expansion of n in k 1545729217.696 * [misc]backup-simplify: Simplify n into n 1545729217.696 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.696 * [misc]backup-simplify: Simplify PI into PI 1545729217.696 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545729217.696 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545729217.696 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545729217.696 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729217.696 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.696 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729217.696 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545729217.697 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545729217.697 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545729217.697 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545729217.697 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545729217.697 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729217.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.697 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729217.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.697 * [misc]taylor: Taking taylor expansion of k in n 1545729217.697 * [misc]backup-simplify: Simplify k into k 1545729217.697 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545729217.697 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545729217.697 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.697 * [misc]backup-simplify: Simplify 2 into 2 1545729217.697 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729217.697 * [misc]taylor: Taking taylor expansion of n in n 1545729217.697 * [misc]backup-simplify: Simplify 0 into 0 1545729217.697 * [misc]backup-simplify: Simplify 1 into 1 1545729217.697 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.697 * [misc]backup-simplify: Simplify PI into PI 1545729217.698 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729217.698 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729217.698 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729217.699 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545729217.700 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.700 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729217.700 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729217.700 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729217.700 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.701 * [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)))) 1545729217.702 * [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))))) 1545729217.702 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545729217.702 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545729217.702 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545729217.702 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729217.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.702 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729217.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.702 * [misc]taylor: Taking taylor expansion of k in n 1545729217.702 * [misc]backup-simplify: Simplify k into k 1545729217.702 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545729217.702 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545729217.702 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.702 * [misc]backup-simplify: Simplify 2 into 2 1545729217.702 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729217.702 * [misc]taylor: Taking taylor expansion of n in n 1545729217.702 * [misc]backup-simplify: Simplify 0 into 0 1545729217.702 * [misc]backup-simplify: Simplify 1 into 1 1545729217.702 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.702 * [misc]backup-simplify: Simplify PI into PI 1545729217.702 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729217.703 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729217.703 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729217.704 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545729217.704 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.704 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729217.705 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729217.705 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729217.705 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.706 * [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)))) 1545729217.706 * [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))))) 1545729217.707 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545729217.707 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545729217.707 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729217.707 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.707 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729217.707 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.707 * [misc]taylor: Taking taylor expansion of k in k 1545729217.707 * [misc]backup-simplify: Simplify 0 into 0 1545729217.707 * [misc]backup-simplify: Simplify 1 into 1 1545729217.707 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545729217.707 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729217.707 * [misc]taylor: Taking taylor expansion of n in k 1545729217.707 * [misc]backup-simplify: Simplify n into n 1545729217.707 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729217.707 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545729217.707 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545729217.707 * [misc]taylor: Taking taylor expansion of 2 in k 1545729217.707 * [misc]backup-simplify: Simplify 2 into 2 1545729217.707 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.707 * [misc]backup-simplify: Simplify PI into PI 1545729217.707 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.708 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.708 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729217.708 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.708 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729217.709 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.710 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545729217.710 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545729217.711 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545729217.712 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545729217.713 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545729217.715 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545729217.716 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545729217.716 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.717 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.717 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545729217.719 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729217.719 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.719 * [misc]backup-simplify: Simplify 0 into 0 1545729217.720 * [misc]backup-simplify: Simplify 0 into 0 1545729217.720 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545729217.721 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545729217.725 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545729217.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.726 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729217.726 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729217.726 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729217.727 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545729217.728 * [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))))))) 1545729217.730 * [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))))))) 1545729217.731 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545729217.733 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545729217.739 * [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 1545729217.739 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545729217.739 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.739 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.740 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545729217.741 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545729217.743 * [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 1545729217.743 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.743 * [misc]backup-simplify: Simplify 0 into 0 1545729217.743 * [misc]backup-simplify: Simplify 0 into 0 1545729217.743 * [misc]backup-simplify: Simplify 0 into 0 1545729217.745 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545729217.746 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545729217.751 * [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 1545729217.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729217.752 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.753 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545729217.755 * [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))))) 1545729217.758 * [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))))) 1545729217.763 * [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))))) 1545729217.763 * [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)))) 1545729217.763 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545729217.763 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729217.763 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545729217.763 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545729217.763 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729217.763 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.763 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729217.763 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.763 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.763 * [misc]taylor: Taking taylor expansion of k in k 1545729217.763 * [misc]backup-simplify: Simplify 0 into 0 1545729217.763 * [misc]backup-simplify: Simplify 1 into 1 1545729217.764 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.764 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545729217.764 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545729217.764 * [misc]taylor: Taking taylor expansion of 2 in k 1545729217.764 * [misc]backup-simplify: Simplify 2 into 2 1545729217.764 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545729217.764 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.764 * [misc]backup-simplify: Simplify PI into PI 1545729217.764 * [misc]taylor: Taking taylor expansion of n in k 1545729217.764 * [misc]backup-simplify: Simplify n into n 1545729217.764 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545729217.764 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545729217.764 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545729217.764 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729217.764 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729217.765 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729217.765 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545729217.765 * [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)))) 1545729217.765 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729217.765 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545729217.765 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545729217.765 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729217.765 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729217.765 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.765 * [misc]taylor: Taking taylor expansion of k in n 1545729217.765 * [misc]backup-simplify: Simplify k into k 1545729217.765 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.765 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545729217.765 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545729217.765 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.765 * [misc]backup-simplify: Simplify 2 into 2 1545729217.766 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.766 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.766 * [misc]backup-simplify: Simplify PI into PI 1545729217.766 * [misc]taylor: Taking taylor expansion of n in n 1545729217.766 * [misc]backup-simplify: Simplify 0 into 0 1545729217.766 * [misc]backup-simplify: Simplify 1 into 1 1545729217.766 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.766 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.767 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.767 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729217.767 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729217.767 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729217.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.768 * [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))) 1545729217.769 * [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)))) 1545729217.769 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729217.769 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545729217.769 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545729217.769 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729217.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.769 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729217.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.769 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.769 * [misc]taylor: Taking taylor expansion of k in n 1545729217.769 * [misc]backup-simplify: Simplify k into k 1545729217.769 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.770 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545729217.770 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545729217.770 * [misc]taylor: Taking taylor expansion of 2 in n 1545729217.770 * [misc]backup-simplify: Simplify 2 into 2 1545729217.770 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.770 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.770 * [misc]backup-simplify: Simplify PI into PI 1545729217.770 * [misc]taylor: Taking taylor expansion of n in n 1545729217.770 * [misc]backup-simplify: Simplify 0 into 0 1545729217.770 * [misc]backup-simplify: Simplify 1 into 1 1545729217.770 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.770 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.771 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.771 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729217.771 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729217.771 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729217.772 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.772 * [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))) 1545729217.773 * [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)))) 1545729217.773 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545729217.773 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545729217.773 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729217.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.773 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729217.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.773 * [misc]taylor: Taking taylor expansion of k in k 1545729217.773 * [misc]backup-simplify: Simplify 0 into 0 1545729217.773 * [misc]backup-simplify: Simplify 1 into 1 1545729217.774 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.774 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545729217.774 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545729217.774 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545729217.774 * [misc]taylor: Taking taylor expansion of 2 in k 1545729217.774 * [misc]backup-simplify: Simplify 2 into 2 1545729217.774 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.774 * [misc]backup-simplify: Simplify PI into PI 1545729217.774 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545729217.775 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545729217.775 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729217.775 * [misc]taylor: Taking taylor expansion of n in k 1545729217.775 * [misc]backup-simplify: Simplify n into n 1545729217.775 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729217.775 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729217.775 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729217.775 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729217.775 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545729217.776 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545729217.776 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545729217.777 * [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)))) 1545729217.778 * [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)))) 1545729217.779 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545729217.779 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545729217.782 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545729217.782 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729217.782 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729217.783 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.783 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.784 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545729217.786 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729217.786 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.786 * [misc]backup-simplify: Simplify 0 into 0 1545729217.786 * [misc]backup-simplify: Simplify 0 into 0 1545729217.786 * [misc]backup-simplify: Simplify 0 into 0 1545729217.787 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.788 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545729217.791 * [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 1545729217.791 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.791 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729217.791 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.791 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.792 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.792 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545729217.794 * [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 1545729217.794 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.794 * [misc]backup-simplify: Simplify 0 into 0 1545729217.794 * [misc]backup-simplify: Simplify 0 into 0 1545729217.794 * [misc]backup-simplify: Simplify 0 into 0 1545729217.794 * [misc]backup-simplify: Simplify 0 into 0 1545729217.795 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.796 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545729217.800 * [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 1545729217.801 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.801 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545729217.801 * [misc]backup-simplify: Simplify (- 0) into 0 1545729217.801 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.802 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545729217.802 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545729217.804 * [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 1545729217.804 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.804 * [misc]backup-simplify: Simplify 0 into 0 1545729217.804 * [misc]backup-simplify: Simplify 0 into 0 1545729217.805 * [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))))) 1545729217.805 * [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)) 1545729217.805 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545729217.805 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729217.805 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545729217.805 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545729217.805 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729217.805 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729217.805 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.805 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.805 * [misc]taylor: Taking taylor expansion of k in k 1545729217.805 * [misc]backup-simplify: Simplify 0 into 0 1545729217.805 * [misc]backup-simplify: Simplify 1 into 1 1545729217.805 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.805 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.805 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545729217.805 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545729217.805 * [misc]taylor: Taking taylor expansion of -2 in k 1545729217.805 * [misc]backup-simplify: Simplify -2 into -2 1545729217.805 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545729217.805 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.805 * [misc]backup-simplify: Simplify PI into PI 1545729217.805 * [misc]taylor: Taking taylor expansion of n in k 1545729217.806 * [misc]backup-simplify: Simplify n into n 1545729217.806 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545729217.806 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545729217.806 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545729217.806 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729217.806 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729217.806 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545729217.806 * [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))) 1545729217.806 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729217.806 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545729217.806 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545729217.806 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729217.806 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729217.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.806 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.806 * [misc]taylor: Taking taylor expansion of k in n 1545729217.806 * [misc]backup-simplify: Simplify k into k 1545729217.806 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.806 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545729217.806 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545729217.806 * [misc]taylor: Taking taylor expansion of -2 in n 1545729217.806 * [misc]backup-simplify: Simplify -2 into -2 1545729217.806 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.806 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.806 * [misc]backup-simplify: Simplify PI into PI 1545729217.806 * [misc]taylor: Taking taylor expansion of n in n 1545729217.806 * [misc]backup-simplify: Simplify 0 into 0 1545729217.806 * [misc]backup-simplify: Simplify 1 into 1 1545729217.807 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.807 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545729217.807 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545729217.807 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729217.807 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729217.808 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545729217.808 * [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))) 1545729217.808 * [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)))) 1545729217.809 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729217.809 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545729217.809 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545729217.809 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729217.809 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729217.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729217.809 * [misc]taylor: Taking taylor expansion of k in n 1545729217.809 * [misc]backup-simplify: Simplify k into k 1545729217.809 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729217.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729217.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.809 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545729217.809 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545729217.809 * [misc]taylor: Taking taylor expansion of -2 in n 1545729217.809 * [misc]backup-simplify: Simplify -2 into -2 1545729217.809 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545729217.809 * [misc]taylor: Taking taylor expansion of PI in n 1545729217.809 * [misc]backup-simplify: Simplify PI into PI 1545729217.809 * [misc]taylor: Taking taylor expansion of n in n 1545729217.809 * [misc]backup-simplify: Simplify 0 into 0 1545729217.809 * [misc]backup-simplify: Simplify 1 into 1 1545729217.809 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545729217.809 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545729217.809 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545729217.810 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729217.810 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729217.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545729217.810 * [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))) 1545729217.811 * [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)))) 1545729217.811 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545729217.811 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545729217.811 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729217.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729217.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729217.811 * [misc]taylor: Taking taylor expansion of k in k 1545729217.811 * [misc]backup-simplify: Simplify 0 into 0 1545729217.811 * [misc]backup-simplify: Simplify 1 into 1 1545729217.811 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729217.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729217.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729217.811 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545729217.811 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545729217.811 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545729217.811 * [misc]taylor: Taking taylor expansion of -2 in k 1545729217.811 * [misc]backup-simplify: Simplify -2 into -2 1545729217.811 * [misc]taylor: Taking taylor expansion of PI in k 1545729217.811 * [misc]backup-simplify: Simplify PI into PI 1545729217.812 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545729217.812 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545729217.812 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729217.812 * [misc]taylor: Taking taylor expansion of n in k 1545729217.812 * [misc]backup-simplify: Simplify n into n 1545729217.812 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729217.812 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729217.813 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729217.813 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545729217.813 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545729217.814 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545729217.814 * [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)))) 1545729217.815 * [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)))) 1545729217.816 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545729217.817 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545729217.819 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545729217.820 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729217.820 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729217.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.821 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545729217.821 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545729217.823 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729217.823 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.823 * [misc]backup-simplify: Simplify 0 into 0 1545729217.823 * [misc]backup-simplify: Simplify 0 into 0 1545729217.823 * [misc]backup-simplify: Simplify 0 into 0 1545729217.824 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.825 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545729217.830 * [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 1545729217.831 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.831 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729217.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.832 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545729217.833 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545729217.835 * [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 1545729217.835 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.835 * [misc]backup-simplify: Simplify 0 into 0 1545729217.835 * [misc]backup-simplify: Simplify 0 into 0 1545729217.835 * [misc]backup-simplify: Simplify 0 into 0 1545729217.835 * [misc]backup-simplify: Simplify 0 into 0 1545729217.837 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729217.838 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545729217.847 * [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 1545729217.847 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729217.848 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545729217.848 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729217.849 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545729217.850 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545729217.854 * [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 1545729217.854 * [misc]taylor: Taking taylor expansion of 0 in k 1545729217.854 * [misc]backup-simplify: Simplify 0 into 0 1545729217.854 * [misc]backup-simplify: Simplify 0 into 0 1545729217.855 * [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))))) 1545729217.855 * * * [misc]progress: simplifying candidates 1545729217.855 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1545729217.855 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1545729217.855 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1545729217.855 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1545729217.855 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1545729217.855 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1545729217.855 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1545729217.855 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1545729217.855 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1545729217.856 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1545729217.856 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1545729217.856 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545729217.856 * * [misc]simplify: iters left: 6 (14 enodes) 1545729217.861 * * [misc]simplify: iters left: 5 (26 enodes) 1545729217.870 * * [misc]simplify: iters left: 4 (53 enodes) 1545729217.892 * * [misc]simplify: iters left: 3 (137 enodes) 1545729217.944 * * [misc]simplify: iters left: 2 (487 enodes) 1545729218.495 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545729218.495 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545729218.495 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1545729218.495 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545729218.496 * * [misc]simplify: iters left: 6 (14 enodes) 1545729218.500 * * [misc]simplify: iters left: 5 (26 enodes) 1545729218.509 * * [misc]simplify: iters left: 4 (53 enodes) 1545729218.530 * * [misc]simplify: iters left: 3 (137 enodes) 1545729218.620 * * [misc]simplify: iters left: 2 (487 enodes) 1545729219.145 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545729219.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545729219.145 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1545729219.145 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545729219.145 * * [misc]simplify: iters left: 6 (14 enodes) 1545729219.150 * * [misc]simplify: iters left: 5 (24 enodes) 1545729219.158 * * [misc]simplify: iters left: 4 (42 enodes) 1545729219.170 * * [misc]simplify: iters left: 3 (71 enodes) 1545729219.196 * * [misc]simplify: iters left: 2 (208 enodes) 1545729219.420 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545729219.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545729219.420 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1545729219.420 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1545729219.421 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1545729219.421 * [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))) 1545729219.421 * * [misc]simplify: iters left: 6 (16 enodes) 1545729219.427 * * [misc]simplify: iters left: 5 (31 enodes) 1545729219.437 * * [misc]simplify: iters left: 4 (67 enodes) 1545729219.459 * * [misc]simplify: iters left: 3 (124 enodes) 1545729219.504 * * [misc]simplify: iters left: 2 (195 enodes) 1545729219.565 * * [misc]simplify: iters left: 1 (309 enodes) 1545729219.707 * [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)))) 1545729219.707 * [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)))))) 1545729219.707 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1545729219.707 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1545729219.707 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1545729219.707 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1545729219.707 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1545729219.707 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729219.707 * * [misc]simplify: iters left: 6 (12 enodes) 1545729219.709 * * [misc]simplify: iters left: 5 (19 enodes) 1545729219.712 * * [misc]simplify: iters left: 4 (25 enodes) 1545729219.715 * * [misc]simplify: iters left: 3 (26 enodes) 1545729219.721 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729219.721 * [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))))) 1545729219.722 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545729219.722 * * [misc]simplify: iters left: 6 (12 enodes) 1545729219.726 * * [misc]simplify: iters left: 5 (18 enodes) 1545729219.731 * * [misc]simplify: iters left: 4 (24 enodes) 1545729219.737 * * [misc]simplify: iters left: 3 (25 enodes) 1545729219.743 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545729219.743 * [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))))) 1545729219.743 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1545729219.743 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545729219.744 * * [misc]simplify: iters left: 6 (11 enodes) 1545729219.747 * * [misc]simplify: iters left: 5 (16 enodes) 1545729219.752 * * [misc]simplify: iters left: 4 (22 enodes) 1545729219.758 * * [misc]simplify: iters left: 3 (24 enodes) 1545729219.764 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545729219.764 * [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))))) 1545729219.764 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545729219.764 * * [misc]simplify: iters left: 6 (12 enodes) 1545729219.768 * * [misc]simplify: iters left: 5 (18 enodes) 1545729219.770 * * [misc]simplify: iters left: 4 (24 enodes) 1545729219.773 * * [misc]simplify: iters left: 3 (25 enodes) 1545729219.776 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545729219.776 * [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))))) 1545729219.777 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1545729219.777 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545729219.777 * * [misc]simplify: iters left: 6 (9 enodes) 1545729219.778 * * [misc]simplify: iters left: 5 (16 enodes) 1545729219.781 * * [misc]simplify: iters left: 4 (24 enodes) 1545729219.784 * * [misc]simplify: iters left: 3 (26 enodes) 1545729219.786 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545729219.786 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545729219.787 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545729219.787 * * [misc]simplify: iters left: 6 (11 enodes) 1545729219.789 * * [misc]simplify: iters left: 5 (17 enodes) 1545729219.792 * * [misc]simplify: iters left: 4 (23 enodes) 1545729219.795 * * [misc]simplify: iters left: 3 (24 enodes) 1545729219.798 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545729219.798 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545729219.798 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1545729219.798 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729219.798 * * [misc]simplify: iters left: 6 (12 enodes) 1545729219.800 * * [misc]simplify: iters left: 5 (19 enodes) 1545729219.803 * * [misc]simplify: iters left: 4 (25 enodes) 1545729219.806 * * [misc]simplify: iters left: 3 (26 enodes) 1545729219.809 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729219.809 * [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))))) 1545729219.810 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545729219.810 * * [misc]simplify: iters left: 6 (12 enodes) 1545729219.811 * * [misc]simplify: iters left: 5 (18 enodes) 1545729219.814 * * [misc]simplify: iters left: 4 (24 enodes) 1545729219.817 * * [misc]simplify: iters left: 3 (25 enodes) 1545729219.820 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545729219.820 * [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))))) 1545729219.820 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1545729219.820 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545729219.820 * * [misc]simplify: iters left: 6 (11 enodes) 1545729219.822 * * [misc]simplify: iters left: 5 (16 enodes) 1545729219.824 * * [misc]simplify: iters left: 4 (22 enodes) 1545729219.827 * * [misc]simplify: iters left: 3 (24 enodes) 1545729219.830 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545729219.830 * [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))))) 1545729219.830 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545729219.830 * * [misc]simplify: iters left: 6 (12 enodes) 1545729219.832 * * [misc]simplify: iters left: 5 (18 enodes) 1545729219.835 * * [misc]simplify: iters left: 4 (24 enodes) 1545729219.838 * * [misc]simplify: iters left: 3 (25 enodes) 1545729219.841 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545729219.841 * [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))))) 1545729219.841 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1545729219.841 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545729219.841 * * [misc]simplify: iters left: 6 (9 enodes) 1545729219.843 * * [misc]simplify: iters left: 5 (16 enodes) 1545729219.847 * * [misc]simplify: iters left: 4 (24 enodes) 1545729219.853 * * [misc]simplify: iters left: 3 (26 enodes) 1545729219.859 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545729219.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545729219.859 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545729219.859 * * [misc]simplify: iters left: 6 (11 enodes) 1545729219.862 * * [misc]simplify: iters left: 5 (17 enodes) 1545729219.867 * * [misc]simplify: iters left: 4 (23 enodes) 1545729219.874 * * [misc]simplify: iters left: 3 (24 enodes) 1545729219.880 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545729219.880 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545729219.880 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1545729219.881 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729219.881 * * [misc]simplify: iters left: 6 (11 enodes) 1545729219.884 * * [misc]simplify: iters left: 5 (15 enodes) 1545729219.889 * * [misc]simplify: iters left: 4 (18 enodes) 1545729219.894 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729219.894 * [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))))) 1545729219.895 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545729219.895 * * [misc]simplify: iters left: 6 (11 enodes) 1545729219.898 * * [misc]simplify: iters left: 5 (14 enodes) 1545729219.902 * * [misc]simplify: iters left: 4 (17 enodes) 1545729219.906 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545729219.907 * [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))))) 1545729219.907 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1545729219.907 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729219.907 * * [misc]simplify: iters left: 6 (10 enodes) 1545729219.910 * * [misc]simplify: iters left: 5 (12 enodes) 1545729219.914 * * [misc]simplify: iters left: 4 (15 enodes) 1545729219.918 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729219.918 * [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))))) 1545729219.918 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729219.918 * * [misc]simplify: iters left: 6 (11 enodes) 1545729219.922 * * [misc]simplify: iters left: 5 (14 enodes) 1545729219.925 * * [misc]simplify: iters left: 4 (17 enodes) 1545729219.930 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729219.930 * [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))))) 1545729219.930 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1545729219.930 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545729219.931 * * [misc]simplify: iters left: 6 (9 enodes) 1545729219.933 * * [misc]simplify: iters left: 5 (13 enodes) 1545729219.937 * * [misc]simplify: iters left: 4 (18 enodes) 1545729219.941 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545729219.942 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545729219.942 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545729219.942 * * [misc]simplify: iters left: 6 (10 enodes) 1545729219.945 * * [misc]simplify: iters left: 5 (13 enodes) 1545729219.949 * * [misc]simplify: iters left: 4 (16 enodes) 1545729219.953 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545729219.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545729219.953 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1545729219.953 * [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)))) 1545729219.953 * * [misc]simplify: iters left: 6 (16 enodes) 1545729219.959 * * [misc]simplify: iters left: 5 (28 enodes) 1545729219.967 * * [misc]simplify: iters left: 4 (46 enodes) 1545729219.980 * * [misc]simplify: iters left: 3 (50 enodes) 1545729219.992 * * [misc]simplify: iters left: 2 (53 enodes) 1545729220.006 * [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)))) 1545729220.006 * [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))))) 1545729220.006 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545729220.006 * * [misc]simplify: iters left: 6 (14 enodes) 1545729220.010 * * [misc]simplify: iters left: 5 (20 enodes) 1545729220.016 * * [misc]simplify: iters left: 4 (29 enodes) 1545729220.023 * * [misc]simplify: iters left: 3 (30 enodes) 1545729220.030 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545729220.030 * [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))))) 1545729220.030 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1545729220.031 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545729220.031 * * [misc]simplify: iters left: 6 (15 enodes) 1545729220.036 * * [misc]simplify: iters left: 5 (23 enodes) 1545729220.043 * * [misc]simplify: iters left: 4 (34 enodes) 1545729220.052 * * [misc]simplify: iters left: 3 (37 enodes) 1545729220.062 * [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)))))) 1545729220.062 * [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))))) 1545729220.062 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545729220.063 * * [misc]simplify: iters left: 6 (14 enodes) 1545729220.066 * * [misc]simplify: iters left: 5 (20 enodes) 1545729220.072 * * [misc]simplify: iters left: 4 (29 enodes) 1545729220.080 * * [misc]simplify: iters left: 3 (30 enodes) 1545729220.088 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545729220.088 * [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))))) 1545729220.088 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1545729220.088 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545729220.088 * * [misc]simplify: iters left: 6 (14 enodes) 1545729220.093 * * [misc]simplify: iters left: 5 (24 enodes) 1545729220.101 * * [misc]simplify: iters left: 4 (39 enodes) 1545729220.111 * * [misc]simplify: iters left: 3 (54 enodes) 1545729220.124 * * [misc]simplify: iters left: 2 (80 enodes) 1545729220.143 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545729220.143 * [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)))) 1545729220.144 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545729220.144 * * [misc]simplify: iters left: 6 (13 enodes) 1545729220.148 * * [misc]simplify: iters left: 5 (19 enodes) 1545729220.153 * * [misc]simplify: iters left: 4 (28 enodes) 1545729220.161 * * [misc]simplify: iters left: 3 (30 enodes) 1545729220.168 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545729220.168 * [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)))) 1545729220.168 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1545729220.169 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729220.169 * * [misc]simplify: iters left: 6 (15 enodes) 1545729220.174 * * [misc]simplify: iters left: 5 (23 enodes) 1545729220.180 * * [misc]simplify: iters left: 4 (32 enodes) 1545729220.190 * * [misc]simplify: iters left: 3 (34 enodes) 1545729220.200 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729220.200 * [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))))) 1545729220.200 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545729220.200 * * [misc]simplify: iters left: 6 (14 enodes) 1545729220.205 * * [misc]simplify: iters left: 5 (20 enodes) 1545729220.212 * * [misc]simplify: iters left: 4 (29 enodes) 1545729220.220 * * [misc]simplify: iters left: 3 (30 enodes) 1545729220.228 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545729220.228 * [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))))) 1545729220.228 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1545729220.228 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545729220.228 * * [misc]simplify: iters left: 6 (14 enodes) 1545729220.233 * * [misc]simplify: iters left: 5 (20 enodes) 1545729220.239 * * [misc]simplify: iters left: 4 (29 enodes) 1545729220.247 * * [misc]simplify: iters left: 3 (30 enodes) 1545729220.255 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545729220.255 * [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))))) 1545729220.255 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545729220.255 * * [misc]simplify: iters left: 6 (14 enodes) 1545729220.259 * * [misc]simplify: iters left: 5 (20 enodes) 1545729220.265 * * [misc]simplify: iters left: 4 (29 enodes) 1545729220.273 * * [misc]simplify: iters left: 3 (30 enodes) 1545729220.280 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545729220.280 * [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))))) 1545729220.280 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1545729220.281 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545729220.281 * * [misc]simplify: iters left: 6 (13 enodes) 1545729220.285 * * [misc]simplify: iters left: 5 (21 enodes) 1545729220.292 * * [misc]simplify: iters left: 4 (32 enodes) 1545729220.299 * * [misc]simplify: iters left: 3 (33 enodes) 1545729220.307 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545729220.307 * [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)))) 1545729220.307 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545729220.307 * * [misc]simplify: iters left: 6 (13 enodes) 1545729220.311 * * [misc]simplify: iters left: 5 (19 enodes) 1545729220.317 * * [misc]simplify: iters left: 4 (28 enodes) 1545729220.325 * * [misc]simplify: iters left: 3 (30 enodes) 1545729220.332 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545729220.332 * [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)))) 1545729220.332 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1545729220.333 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729220.333 * * [misc]simplify: iters left: 6 (6 enodes) 1545729220.335 * * [misc]simplify: iters left: 5 (10 enodes) 1545729220.337 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545729220.338 * [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))))) 1545729220.338 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545729220.338 * * [misc]simplify: iters left: 6 (13 enodes) 1545729220.344 * * [misc]simplify: iters left: 5 (19 enodes) 1545729220.350 * * [misc]simplify: iters left: 4 (28 enodes) 1545729220.357 * * [misc]simplify: iters left: 3 (30 enodes) 1545729220.361 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545729220.361 * [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))))) 1545729220.361 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1545729220.361 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545729220.361 * * [misc]simplify: iters left: 4 (5 enodes) 1545729220.362 * * [misc]simplify: iters left: 3 (7 enodes) 1545729220.363 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545729220.363 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545729220.363 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729220.363 * * [misc]simplify: iters left: 6 (13 enodes) 1545729220.365 * * [misc]simplify: iters left: 5 (19 enodes) 1545729220.368 * * [misc]simplify: iters left: 4 (28 enodes) 1545729220.372 * * [misc]simplify: iters left: 3 (30 enodes) 1545729220.376 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729220.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545729220.376 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1545729220.376 * [enter]simplify: Simplifying (/ 1 1) 1545729220.376 * * [misc]simplify: iters left: 2 (2 enodes) 1545729220.376 * * [misc]simplify: iters left: 1 (4 enodes) 1545729220.377 * [exit]simplify: Simplified to 1 1545729220.377 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545729220.377 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545729220.377 * * [misc]simplify: iters left: 6 (12 enodes) 1545729220.379 * * [misc]simplify: iters left: 5 (18 enodes) 1545729220.381 * * [misc]simplify: iters left: 4 (27 enodes) 1545729220.385 * * [misc]simplify: iters left: 3 (29 enodes) 1545729220.389 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545729220.389 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545729220.389 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1545729220.389 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1545729220.389 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1545729220.389 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1545729220.390 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545729220.390 * * [misc]simplify: iters left: 2 (3 enodes) 1545729220.391 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545729220.391 * [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)))) 1545729220.391 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1545729220.391 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545729220.391 * * [misc]simplify: iters left: 2 (3 enodes) 1545729220.392 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545729220.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545729220.392 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1545729220.392 * [enter]simplify: Simplifying (sqrt k) 1545729220.392 * * [misc]simplify: iters left: 1 (2 enodes) 1545729220.393 * [exit]simplify: Simplified to (sqrt k) 1545729220.393 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545729220.393 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1545729220.393 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545729220.393 * * [misc]simplify: iters left: 5 (7 enodes) 1545729220.396 * * [misc]simplify: iters left: 4 (12 enodes) 1545729220.399 * * [misc]simplify: iters left: 3 (18 enodes) 1545729220.404 * * [misc]simplify: iters left: 2 (20 enodes) 1545729220.408 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545729220.408 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545729220.408 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1545729220.408 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545729220.408 * * [misc]simplify: iters left: 5 (7 enodes) 1545729220.409 * * [misc]simplify: iters left: 4 (12 enodes) 1545729220.411 * * [misc]simplify: iters left: 3 (18 enodes) 1545729220.413 * * [misc]simplify: iters left: 2 (20 enodes) 1545729220.416 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545729220.416 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545729220.416 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1545729220.416 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545729220.416 * * [misc]simplify: iters left: 5 (7 enodes) 1545729220.417 * * [misc]simplify: iters left: 4 (9 enodes) 1545729220.418 * * [misc]simplify: iters left: 3 (12 enodes) 1545729220.420 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545729220.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545729220.420 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1545729220.420 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545729220.420 * * [misc]simplify: iters left: 6 (12 enodes) 1545729220.422 * * [misc]simplify: iters left: 5 (18 enodes) 1545729220.424 * * [misc]simplify: iters left: 4 (27 enodes) 1545729220.428 * * [misc]simplify: iters left: 3 (29 enodes) 1545729220.431 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545729220.431 * [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))))))) 1545729220.431 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1545729220.432 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545729220.432 * * [misc]simplify: iters left: 6 (11 enodes) 1545729220.433 * * [misc]simplify: iters left: 5 (17 enodes) 1545729220.437 * * [misc]simplify: iters left: 4 (26 enodes) 1545729220.444 * * [misc]simplify: iters left: 3 (27 enodes) 1545729220.450 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545729220.450 * [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))))))) 1545729220.450 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1545729220.450 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1545729220.451 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545729220.451 * * [misc]simplify: iters left: 5 (7 enodes) 1545729220.453 * * [misc]simplify: iters left: 4 (12 enodes) 1545729220.457 * * [misc]simplify: iters left: 3 (18 enodes) 1545729220.461 * * [misc]simplify: iters left: 2 (20 enodes) 1545729220.466 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545729220.466 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545729220.466 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1545729220.466 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545729220.467 * * [misc]simplify: iters left: 6 (11 enodes) 1545729220.470 * * [misc]simplify: iters left: 5 (21 enodes) 1545729220.477 * * [misc]simplify: iters left: 4 (47 enodes) 1545729220.494 * * [misc]simplify: iters left: 3 (109 enodes) 1545729220.532 * * [misc]simplify: iters left: 2 (300 enodes) 1545729220.753 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545729220.753 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545729220.753 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1545729220.753 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1545729220.753 * [enter]simplify: Simplifying (* PI (* n 2)) 1545729220.753 * * [misc]simplify: iters left: 4 (5 enodes) 1545729220.755 * * [misc]simplify: iters left: 3 (9 enodes) 1545729220.758 * * [misc]simplify: iters left: 2 (15 enodes) 1545729220.762 * * [misc]simplify: iters left: 1 (17 enodes) 1545729220.766 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545729220.766 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545729220.766 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1545729220.766 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545729220.767 * * [misc]simplify: iters left: 5 (8 enodes) 1545729220.769 * * [misc]simplify: iters left: 4 (12 enodes) 1545729220.773 * * [misc]simplify: iters left: 3 (18 enodes) 1545729220.780 * * [misc]simplify: iters left: 2 (20 enodes) 1545729220.785 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545729220.785 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545729220.785 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1545729220.785 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545729220.785 * * [misc]simplify: iters left: 5 (6 enodes) 1545729220.787 * * [misc]simplify: iters left: 4 (8 enodes) 1545729220.789 * * [misc]simplify: iters left: 3 (11 enodes) 1545729220.792 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545729220.793 * [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))) 1545729220.793 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1545729220.793 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545729220.793 * * [misc]simplify: iters left: 5 (6 enodes) 1545729220.795 * * [misc]simplify: iters left: 4 (8 enodes) 1545729220.797 * * [misc]simplify: iters left: 3 (11 enodes) 1545729220.800 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545729220.800 * [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))) 1545729220.800 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1545729220.801 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545729220.801 * * [misc]simplify: iters left: 4 (5 enodes) 1545729220.802 * * [misc]simplify: iters left: 3 (7 enodes) 1545729220.804 * * [misc]simplify: iters left: 2 (10 enodes) 1545729220.807 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545729220.807 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545729220.807 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1545729220.807 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545729220.807 * * [misc]simplify: iters left: 5 (9 enodes) 1545729220.810 * * [misc]simplify: iters left: 4 (15 enodes) 1545729220.814 * * [misc]simplify: iters left: 3 (21 enodes) 1545729220.820 * * [misc]simplify: iters left: 2 (22 enodes) 1545729220.822 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545729220.822 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545729220.822 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1545729220.823 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545729220.823 * * [misc]simplify: iters left: 5 (9 enodes) 1545729220.824 * * [misc]simplify: iters left: 4 (15 enodes) 1545729220.826 * * [misc]simplify: iters left: 3 (21 enodes) 1545729220.829 * * [misc]simplify: iters left: 2 (22 enodes) 1545729220.831 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545729220.832 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545729220.832 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1545729220.832 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545729220.832 * * [misc]simplify: iters left: 5 (7 enodes) 1545729220.833 * * [misc]simplify: iters left: 4 (9 enodes) 1545729220.834 * * [misc]simplify: iters left: 3 (12 enodes) 1545729220.836 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545729220.836 * [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))) 1545729220.836 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1545729220.836 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1545729220.836 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1545729220.836 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1545729220.836 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1545729220.836 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1545729220.836 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1545729220.836 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1545729220.836 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545729220.836 * * [misc]simplify: iters left: 4 (5 enodes) 1545729220.837 * * [misc]simplify: iters left: 3 (9 enodes) 1545729220.838 * * [misc]simplify: iters left: 2 (15 enodes) 1545729220.840 * * [misc]simplify: iters left: 1 (17 enodes) 1545729220.842 * [exit]simplify: Simplified to (* (* PI n) 2) 1545729220.842 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545729220.842 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1545729220.842 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545729220.842 * * [misc]simplify: iters left: 4 (5 enodes) 1545729220.843 * * [misc]simplify: iters left: 3 (9 enodes) 1545729220.844 * * [misc]simplify: iters left: 2 (15 enodes) 1545729220.846 * * [misc]simplify: iters left: 1 (17 enodes) 1545729220.848 * [exit]simplify: Simplified to (* (* PI n) 2) 1545729220.848 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545729220.848 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1545729220.848 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545729220.849 * * [misc]simplify: iters left: 4 (5 enodes) 1545729220.849 * * [misc]simplify: iters left: 3 (9 enodes) 1545729220.851 * * [misc]simplify: iters left: 2 (15 enodes) 1545729220.852 * * [misc]simplify: iters left: 1 (17 enodes) 1545729220.855 * [exit]simplify: Simplified to (* (* PI n) 2) 1545729220.855 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545729220.855 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1545729220.856 * [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)))))))))))))))))))))) 1545729220.856 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545729220.856 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1545729220.856 * [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)))))))) 1545729220.856 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545729220.856 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1545729220.856 * [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))))))))))) 1545729220.856 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545729220.856 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1545729220.856 * [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))))) 1545729220.857 * * [misc]simplify: iters left: 6 (37 enodes) 1545729220.864 * * [misc]simplify: iters left: 5 (105 enodes) 1545729220.886 * * [misc]simplify: iters left: 4 (339 enodes) 1545729221.091 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1545729221.091 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1545729221.091 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1545729221.091 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545729221.092 * * [misc]simplify: iters left: 6 (15 enodes) 1545729221.097 * * [misc]simplify: iters left: 5 (33 enodes) 1545729221.103 * * [misc]simplify: iters left: 4 (64 enodes) 1545729221.116 * * [misc]simplify: iters left: 3 (171 enodes) 1545729221.225 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1545729221.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1545729221.225 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1545729221.226 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545729221.226 * * [misc]simplify: iters left: 6 (15 enodes) 1545729221.232 * * [misc]simplify: iters left: 5 (30 enodes) 1545729221.242 * * [misc]simplify: iters left: 4 (65 enodes) 1545729221.268 * * [misc]simplify: iters left: 3 (200 enodes) 1545729221.409 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1545729221.409 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1545729221.409 * * * [misc]progress: adding candidates to table 1545729222.452 * * [misc]progress: iteration 2 / 4 1545729222.452 * * * [misc]progress: picking best candidate 1545729222.526 * * * * [misc]pick: Picked # 1545729222.526 * * * [misc]progress: localizing error 1545729222.559 * * * [misc]progress: generating rewritten candidates 1545729222.559 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1545729222.561 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1545729222.577 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1545729222.589 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) 1545729222.593 * * * [misc]progress: generating series expansions 1545729222.593 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1545729222.593 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545729222.593 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545729222.593 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729222.593 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729222.593 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729222.593 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.594 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.594 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.594 * [misc]taylor: Taking taylor expansion of k in k 1545729222.594 * [misc]backup-simplify: Simplify 0 into 0 1545729222.594 * [misc]backup-simplify: Simplify 1 into 1 1545729222.594 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.594 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.594 * [misc]backup-simplify: Simplify PI into PI 1545729222.594 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.595 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.595 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.595 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.595 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.596 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729222.596 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729222.596 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729222.596 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729222.596 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.596 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.596 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.596 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.596 * [misc]taylor: Taking taylor expansion of k in k 1545729222.596 * [misc]backup-simplify: Simplify 0 into 0 1545729222.597 * [misc]backup-simplify: Simplify 1 into 1 1545729222.597 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.597 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.597 * [misc]backup-simplify: Simplify PI into PI 1545729222.597 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.597 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.597 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.597 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.598 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.599 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729222.599 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545729222.601 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729222.602 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729222.602 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.602 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.603 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545729222.606 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545729222.607 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545729222.612 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729222.613 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729222.613 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.615 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545729222.619 * [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))) 1545729222.620 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545729222.621 * [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)))) 1545729222.622 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.622 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545729222.622 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.622 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729222.622 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729222.622 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.622 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.622 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.622 * [misc]taylor: Taking taylor expansion of k in k 1545729222.622 * [misc]backup-simplify: Simplify 0 into 0 1545729222.622 * [misc]backup-simplify: Simplify 1 into 1 1545729222.622 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.622 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.622 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.622 * [misc]backup-simplify: Simplify PI into PI 1545729222.622 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.622 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.622 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.623 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.623 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729222.623 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.623 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.623 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729222.623 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729222.623 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.623 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.623 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.623 * [misc]taylor: Taking taylor expansion of k in k 1545729222.623 * [misc]backup-simplify: Simplify 0 into 0 1545729222.623 * [misc]backup-simplify: Simplify 1 into 1 1545729222.623 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.623 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.623 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.624 * [misc]backup-simplify: Simplify PI into PI 1545729222.624 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.624 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.624 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.624 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.624 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729222.624 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.625 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.625 * [misc]backup-simplify: Simplify 0 into 0 1545729222.625 * [misc]backup-simplify: Simplify 0 into 0 1545729222.625 * [misc]backup-simplify: Simplify 0 into 0 1545729222.625 * [misc]backup-simplify: Simplify 0 into 0 1545729222.625 * [misc]backup-simplify: Simplify 0 into 0 1545729222.625 * [misc]backup-simplify: Simplify 0 into 0 1545729222.625 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545729222.625 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.625 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545729222.625 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.625 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729222.625 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729222.625 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.625 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.625 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.625 * [misc]taylor: Taking taylor expansion of k in k 1545729222.625 * [misc]backup-simplify: Simplify 0 into 0 1545729222.625 * [misc]backup-simplify: Simplify 1 into 1 1545729222.625 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.625 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.625 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.625 * [misc]backup-simplify: Simplify PI into PI 1545729222.626 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.626 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.626 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.626 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.626 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.626 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.626 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729222.626 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729222.627 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.627 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.627 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.627 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.627 * [misc]taylor: Taking taylor expansion of k in k 1545729222.627 * [misc]backup-simplify: Simplify 0 into 0 1545729222.627 * [misc]backup-simplify: Simplify 1 into 1 1545729222.627 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.627 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.627 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.627 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.627 * [misc]backup-simplify: Simplify PI into PI 1545729222.627 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.627 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.627 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.628 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.628 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.628 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.628 * [misc]backup-simplify: Simplify 0 into 0 1545729222.628 * [misc]backup-simplify: Simplify 0 into 0 1545729222.628 * [misc]backup-simplify: Simplify 0 into 0 1545729222.628 * [misc]backup-simplify: Simplify 0 into 0 1545729222.628 * [misc]backup-simplify: Simplify 0 into 0 1545729222.628 * [misc]backup-simplify: Simplify 0 into 0 1545729222.628 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545729222.628 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1545729222.628 * [misc]backup-simplify: Simplify (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545729222.628 * [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 1545729222.628 * [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 1545729222.629 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545729222.629 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545729222.629 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545729222.629 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545729222.629 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729222.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.629 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729222.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.629 * [misc]taylor: Taking taylor expansion of k in n 1545729222.629 * [misc]backup-simplify: Simplify k into k 1545729222.629 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.629 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.629 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.629 * [misc]backup-simplify: Simplify 2 into 2 1545729222.629 * [misc]taylor: Taking taylor expansion of n in n 1545729222.629 * [misc]backup-simplify: Simplify 0 into 0 1545729222.629 * [misc]backup-simplify: Simplify 1 into 1 1545729222.629 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.629 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.629 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.629 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729222.629 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729222.629 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729222.630 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.630 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545729222.630 * [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)))) 1545729222.630 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545729222.630 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545729222.630 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545729222.630 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729222.630 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.630 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.630 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729222.630 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.630 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.630 * [misc]taylor: Taking taylor expansion of k in n 1545729222.630 * [misc]backup-simplify: Simplify k into k 1545729222.630 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.630 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.630 * [misc]backup-simplify: Simplify PI into PI 1545729222.631 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.631 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729222.631 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729222.631 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729222.631 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545729222.631 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545729222.631 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545729222.631 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.631 * [misc]taylor: Taking taylor expansion of k in n 1545729222.631 * [misc]backup-simplify: Simplify k into k 1545729222.631 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.631 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545729222.631 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729222.631 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545729222.631 * [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 1545729222.631 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545729222.631 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729222.631 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729222.631 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.632 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.632 * [misc]taylor: Taking taylor expansion of k in k 1545729222.632 * [misc]backup-simplify: Simplify 0 into 0 1545729222.632 * [misc]backup-simplify: Simplify 1 into 1 1545729222.632 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.632 * [misc]backup-simplify: Simplify 2 into 2 1545729222.632 * [misc]taylor: Taking taylor expansion of n in k 1545729222.632 * [misc]backup-simplify: Simplify n into n 1545729222.632 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729222.632 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729222.632 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.632 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.632 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.632 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729222.632 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729222.632 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.632 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.632 * [misc]taylor: Taking taylor expansion of k in k 1545729222.632 * [misc]backup-simplify: Simplify 0 into 0 1545729222.632 * [misc]backup-simplify: Simplify 1 into 1 1545729222.632 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.632 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.632 * [misc]backup-simplify: Simplify PI into PI 1545729222.633 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.633 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.633 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.633 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.633 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.634 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729222.634 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of k in k 1545729222.634 * [misc]backup-simplify: Simplify 0 into 0 1545729222.634 * [misc]backup-simplify: Simplify 1 into 1 1545729222.634 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.634 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.634 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729222.634 * [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 1545729222.634 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.634 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.634 * [misc]taylor: Taking taylor expansion of k in k 1545729222.634 * [misc]backup-simplify: Simplify 0 into 0 1545729222.634 * [misc]backup-simplify: Simplify 1 into 1 1545729222.634 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729222.634 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.634 * [misc]backup-simplify: Simplify 2 into 2 1545729222.635 * [misc]taylor: Taking taylor expansion of n in k 1545729222.635 * [misc]backup-simplify: Simplify n into n 1545729222.635 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729222.635 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729222.635 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.635 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.635 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.635 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729222.635 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729222.635 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729222.635 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729222.635 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729222.635 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.635 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.635 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.635 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.635 * [misc]taylor: Taking taylor expansion of k in k 1545729222.635 * [misc]backup-simplify: Simplify 0 into 0 1545729222.635 * [misc]backup-simplify: Simplify 1 into 1 1545729222.635 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.635 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.635 * [misc]backup-simplify: Simplify PI into PI 1545729222.635 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.636 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.636 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.636 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.636 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.637 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729222.637 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545729222.637 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.637 * [misc]taylor: Taking taylor expansion of k in k 1545729222.637 * [misc]backup-simplify: Simplify 0 into 0 1545729222.637 * [misc]backup-simplify: Simplify 1 into 1 1545729222.637 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.637 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.637 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729222.637 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545729222.637 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545729222.637 * [misc]taylor: Taking taylor expansion of 0 in n 1545729222.637 * [misc]backup-simplify: Simplify 0 into 0 1545729222.638 * [misc]backup-simplify: Simplify 0 into 0 1545729222.639 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729222.639 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729222.639 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.639 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.640 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545729222.642 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545729222.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545729222.642 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545729222.642 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729222.643 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.643 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.643 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545729222.643 * [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)))) 1545729222.644 * [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)))))) 1545729222.645 * [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))))) 1545729222.645 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545729222.645 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545729222.645 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.645 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.645 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545729222.645 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.645 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.645 * [misc]backup-simplify: Simplify 2 into 2 1545729222.645 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.645 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.645 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545729222.645 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729222.645 * [misc]taylor: Taking taylor expansion of n in n 1545729222.645 * [misc]backup-simplify: Simplify 0 into 0 1545729222.645 * [misc]backup-simplify: Simplify 1 into 1 1545729222.645 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.645 * [misc]backup-simplify: Simplify PI into PI 1545729222.645 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729222.646 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729222.646 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.646 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.646 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545729222.646 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.647 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.647 * [misc]backup-simplify: Simplify 0 into 0 1545729222.647 * [misc]backup-simplify: Simplify 0 into 0 1545729222.647 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729222.648 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545729222.650 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729222.650 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729222.650 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.651 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545729222.654 * [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))) 1545729222.654 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545729222.655 * [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 1545729222.655 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729222.655 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.655 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545729222.656 * [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))) 1545729222.658 * [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))))))) 1545729222.661 * [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))))))))) 1545729222.661 * [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 1545729222.661 * [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 1545729222.661 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545729222.661 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.661 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.661 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545729222.661 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545729222.661 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.661 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.661 * [misc]backup-simplify: Simplify 2 into 2 1545729222.661 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.661 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.661 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.661 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.661 * [misc]backup-simplify: Simplify PI into PI 1545729222.661 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.661 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.661 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.661 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.661 * [misc]backup-simplify: Simplify PI into PI 1545729222.661 * [misc]taylor: Taking taylor expansion of n in n 1545729222.661 * [misc]backup-simplify: Simplify 0 into 0 1545729222.661 * [misc]backup-simplify: Simplify 1 into 1 1545729222.662 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.662 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.662 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.662 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.662 * [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 1545729222.662 * [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 1545729222.662 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545729222.663 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.663 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.663 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545729222.663 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.663 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.663 * [misc]backup-simplify: Simplify 2 into 2 1545729222.663 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.663 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.663 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545729222.663 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729222.663 * [misc]taylor: Taking taylor expansion of n in n 1545729222.663 * [misc]backup-simplify: Simplify 0 into 0 1545729222.663 * [misc]backup-simplify: Simplify 1 into 1 1545729222.663 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.663 * [misc]backup-simplify: Simplify PI into PI 1545729222.663 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729222.664 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729222.664 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.664 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.664 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545729222.664 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545729222.664 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.664 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.664 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545729222.664 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545729222.664 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.664 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.664 * [misc]backup-simplify: Simplify 2 into 2 1545729222.664 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.664 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.664 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.664 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.664 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.664 * [misc]backup-simplify: Simplify 2 into 2 1545729222.664 * [misc]taylor: Taking taylor expansion of n in n 1545729222.664 * [misc]backup-simplify: Simplify 0 into 0 1545729222.664 * [misc]backup-simplify: Simplify 1 into 1 1545729222.665 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.665 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.665 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.665 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.665 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.665 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.665 * [misc]backup-simplify: Simplify PI into PI 1545729222.665 * [misc]taylor: Taking taylor expansion of n in n 1545729222.665 * [misc]backup-simplify: Simplify 0 into 0 1545729222.665 * [misc]backup-simplify: Simplify 1 into 1 1545729222.665 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.666 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.666 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.666 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.667 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545729222.667 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545729222.667 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.667 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545729222.667 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.668 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.668 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545729222.668 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545729222.668 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.668 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.671 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.671 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.671 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.671 * [misc]backup-simplify: Simplify 0 into 0 1545729222.672 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545729222.673 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545729222.673 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545729222.674 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545729222.674 * [misc]backup-simplify: Simplify 0 into 0 1545729222.674 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729222.675 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545729222.679 * [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 1545729222.679 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545729222.679 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.679 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.681 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545729222.684 * [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))) 1545729222.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545729222.686 * [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 1545729222.687 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545729222.687 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.687 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.687 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545729222.688 * [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))) 1545729222.692 * [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))))))))) 1545729222.697 * [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))))))))))))))) 1545729222.697 * [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 1545729222.697 * [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 1545729222.697 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545729222.697 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.697 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.697 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545729222.697 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545729222.697 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.697 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.697 * [misc]backup-simplify: Simplify 2 into 2 1545729222.698 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.698 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.698 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.698 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.698 * [misc]backup-simplify: Simplify PI into PI 1545729222.698 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.698 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.698 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.698 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.698 * [misc]backup-simplify: Simplify PI into PI 1545729222.698 * [misc]taylor: Taking taylor expansion of n in n 1545729222.698 * [misc]backup-simplify: Simplify 0 into 0 1545729222.698 * [misc]backup-simplify: Simplify 1 into 1 1545729222.698 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.699 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.699 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.699 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.699 * [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 1545729222.699 * [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 1545729222.699 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545729222.699 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.699 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.699 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545729222.699 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545729222.699 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.699 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.699 * [misc]backup-simplify: Simplify 2 into 2 1545729222.700 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.700 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.700 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545729222.700 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.700 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.700 * [misc]backup-simplify: Simplify PI into PI 1545729222.700 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.700 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.700 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.700 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.700 * [misc]backup-simplify: Simplify PI into PI 1545729222.700 * [misc]taylor: Taking taylor expansion of n in n 1545729222.700 * [misc]backup-simplify: Simplify 0 into 0 1545729222.700 * [misc]backup-simplify: Simplify 1 into 1 1545729222.700 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.701 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.701 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.701 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.701 * [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 1545729222.701 * [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 1545729222.701 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545729222.701 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.701 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.701 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545729222.701 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545729222.701 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.701 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.701 * [misc]backup-simplify: Simplify 2 into 2 1545729222.702 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.702 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.702 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545729222.702 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.702 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.702 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.702 * [misc]backup-simplify: Simplify 2 into 2 1545729222.702 * [misc]taylor: Taking taylor expansion of n in n 1545729222.702 * [misc]backup-simplify: Simplify 0 into 0 1545729222.702 * [misc]backup-simplify: Simplify 1 into 1 1545729222.702 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.702 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.702 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.702 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.702 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.702 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.702 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.703 * [misc]backup-simplify: Simplify PI into PI 1545729222.703 * [misc]taylor: Taking taylor expansion of n in n 1545729222.703 * [misc]backup-simplify: Simplify 0 into 0 1545729222.703 * [misc]backup-simplify: Simplify 1 into 1 1545729222.703 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.703 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.703 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.704 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.704 * [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 1545729222.704 * [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 1545729222.704 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545729222.704 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.704 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.704 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545729222.704 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545729222.704 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.704 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.704 * [misc]backup-simplify: Simplify 2 into 2 1545729222.704 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.704 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.704 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545729222.704 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.704 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.704 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.704 * [misc]backup-simplify: Simplify 2 into 2 1545729222.704 * [misc]taylor: Taking taylor expansion of n in n 1545729222.704 * [misc]backup-simplify: Simplify 0 into 0 1545729222.704 * [misc]backup-simplify: Simplify 1 into 1 1545729222.704 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.704 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.705 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.705 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.705 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.705 * [misc]backup-simplify: Simplify PI into PI 1545729222.705 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.705 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545729222.705 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729222.705 * [misc]taylor: Taking taylor expansion of n in n 1545729222.705 * [misc]backup-simplify: Simplify 0 into 0 1545729222.705 * [misc]backup-simplify: Simplify 1 into 1 1545729222.705 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.705 * [misc]backup-simplify: Simplify PI into PI 1545729222.705 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729222.705 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729222.706 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.706 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.706 * [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 1545729222.706 * [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 1545729222.706 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545729222.706 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.706 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.706 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545729222.706 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.706 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.706 * [misc]backup-simplify: Simplify 2 into 2 1545729222.706 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.706 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.706 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545729222.706 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729222.706 * [misc]taylor: Taking taylor expansion of n in n 1545729222.706 * [misc]backup-simplify: Simplify 0 into 0 1545729222.706 * [misc]backup-simplify: Simplify 1 into 1 1545729222.706 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.706 * [misc]backup-simplify: Simplify PI into PI 1545729222.706 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729222.707 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729222.707 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.707 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.707 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545729222.707 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545729222.707 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.707 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.707 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545729222.707 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545729222.707 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.707 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.707 * [misc]backup-simplify: Simplify 2 into 2 1545729222.708 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.708 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.708 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.708 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.708 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.708 * [misc]backup-simplify: Simplify 2 into 2 1545729222.708 * [misc]taylor: Taking taylor expansion of n in n 1545729222.708 * [misc]backup-simplify: Simplify 0 into 0 1545729222.708 * [misc]backup-simplify: Simplify 1 into 1 1545729222.708 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.708 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.708 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.708 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.708 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.708 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.708 * [misc]backup-simplify: Simplify PI into PI 1545729222.708 * [misc]taylor: Taking taylor expansion of n in n 1545729222.708 * [misc]backup-simplify: Simplify 0 into 0 1545729222.708 * [misc]backup-simplify: Simplify 1 into 1 1545729222.708 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.709 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.709 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.709 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.710 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545729222.710 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545729222.710 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.711 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545729222.711 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545729222.712 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545729222.712 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.712 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.712 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.713 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545729222.713 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545729222.713 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545729222.713 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.714 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.714 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545729222.714 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545729222.715 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545729222.715 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.715 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545729222.715 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.715 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.715 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545729222.716 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545729222.716 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545729222.716 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.716 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.716 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.717 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.717 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.717 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.717 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.717 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.717 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.717 * [misc]backup-simplify: Simplify 0 into 0 1545729222.719 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729222.719 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545729222.720 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545729222.722 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545729222.723 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545729222.724 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545729222.724 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545729222.725 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729222.725 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.726 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545729222.726 * [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)))))) 1545729222.728 * [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)))))) 1545729222.729 * [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)))))) 1545729222.730 * [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))))))) 1545729222.732 * [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))))))) 1545729222.735 * [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))))))))) 1545729222.739 * [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))))))))) 1545729222.743 * [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))))))))) 1545729222.743 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545729222.744 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545729222.745 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545729222.746 * [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)))) 1545729222.749 * [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)))) 1545729222.750 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545729222.750 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545729222.756 * [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))))))))))))))) 1545729222.756 * [misc]backup-simplify: Simplify (/ (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545729222.757 * [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 1545729222.757 * [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 1545729222.757 * [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 1545729222.757 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.757 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729222.757 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729222.757 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.757 * [misc]taylor: Taking taylor expansion of k in n 1545729222.757 * [misc]backup-simplify: Simplify k into k 1545729222.757 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.757 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.757 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.757 * [misc]backup-simplify: Simplify PI into PI 1545729222.757 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.757 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.757 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.757 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.757 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729222.758 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.758 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.758 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729222.758 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729222.758 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.758 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.758 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.758 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.758 * [misc]taylor: Taking taylor expansion of k in n 1545729222.758 * [misc]backup-simplify: Simplify k into k 1545729222.758 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.758 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729222.758 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729222.758 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.758 * [misc]backup-simplify: Simplify 2 into 2 1545729222.758 * [misc]taylor: Taking taylor expansion of n in n 1545729222.758 * [misc]backup-simplify: Simplify 0 into 0 1545729222.758 * [misc]backup-simplify: Simplify 1 into 1 1545729222.758 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729222.758 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.758 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.758 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.758 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.759 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729222.759 * [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))) 1545729222.759 * [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)))) 1545729222.759 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545729222.759 * [misc]taylor: Taking taylor expansion of k in n 1545729222.759 * [misc]backup-simplify: Simplify k into k 1545729222.759 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545729222.759 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545729222.759 * [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 1545729222.759 * [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 1545729222.759 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.759 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729222.759 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729222.759 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.759 * [misc]taylor: Taking taylor expansion of k in k 1545729222.759 * [misc]backup-simplify: Simplify 0 into 0 1545729222.760 * [misc]backup-simplify: Simplify 1 into 1 1545729222.760 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.760 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.760 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.760 * [misc]backup-simplify: Simplify PI into PI 1545729222.760 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.760 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.760 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.760 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.760 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729222.761 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.761 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.761 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729222.761 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729222.761 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.761 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.761 * [misc]taylor: Taking taylor expansion of k in k 1545729222.761 * [misc]backup-simplify: Simplify 0 into 0 1545729222.761 * [misc]backup-simplify: Simplify 1 into 1 1545729222.761 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.761 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729222.761 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729222.761 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.761 * [misc]backup-simplify: Simplify 2 into 2 1545729222.761 * [misc]taylor: Taking taylor expansion of n in k 1545729222.761 * [misc]backup-simplify: Simplify n into n 1545729222.761 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729222.761 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729222.761 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.761 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.761 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.762 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729222.762 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.762 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545729222.762 * [misc]taylor: Taking taylor expansion of k in k 1545729222.762 * [misc]backup-simplify: Simplify 0 into 0 1545729222.762 * [misc]backup-simplify: Simplify 1 into 1 1545729222.762 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.762 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729222.762 * [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 1545729222.762 * [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 1545729222.762 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.762 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729222.762 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729222.762 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.762 * [misc]taylor: Taking taylor expansion of k in k 1545729222.762 * [misc]backup-simplify: Simplify 0 into 0 1545729222.762 * [misc]backup-simplify: Simplify 1 into 1 1545729222.762 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.762 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.762 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.762 * [misc]backup-simplify: Simplify PI into PI 1545729222.763 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.763 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.763 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.763 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.764 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729222.764 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.764 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.764 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729222.764 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729222.764 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.764 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.764 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.764 * [misc]taylor: Taking taylor expansion of k in k 1545729222.764 * [misc]backup-simplify: Simplify 0 into 0 1545729222.764 * [misc]backup-simplify: Simplify 1 into 1 1545729222.765 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.765 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729222.765 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729222.765 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.765 * [misc]backup-simplify: Simplify 2 into 2 1545729222.765 * [misc]taylor: Taking taylor expansion of n in k 1545729222.765 * [misc]backup-simplify: Simplify n into n 1545729222.765 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729222.765 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729222.765 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.765 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.765 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.765 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729222.765 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.765 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545729222.765 * [misc]taylor: Taking taylor expansion of k in k 1545729222.765 * [misc]backup-simplify: Simplify 0 into 0 1545729222.765 * [misc]backup-simplify: Simplify 1 into 1 1545729222.765 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.766 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729222.766 * [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))))) 1545729222.766 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545729222.766 * [misc]taylor: Taking taylor expansion of 0 in n 1545729222.766 * [misc]backup-simplify: Simplify 0 into 0 1545729222.766 * [misc]backup-simplify: Simplify 0 into 0 1545729222.766 * [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 1545729222.767 * [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))))))) 1545729222.767 * [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 1545729222.767 * [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 1545729222.767 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.767 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.767 * [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 1545729222.767 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.767 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729222.767 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729222.767 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.767 * [misc]taylor: Taking taylor expansion of k in n 1545729222.767 * [misc]backup-simplify: Simplify k into k 1545729222.767 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.767 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.767 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.767 * [misc]backup-simplify: Simplify PI into PI 1545729222.767 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.767 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.767 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.767 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.768 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729222.768 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.768 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.768 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729222.768 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729222.768 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.768 * [misc]taylor: Taking taylor expansion of k in n 1545729222.768 * [misc]backup-simplify: Simplify k into k 1545729222.768 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.768 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729222.768 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729222.768 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.768 * [misc]backup-simplify: Simplify 2 into 2 1545729222.768 * [misc]taylor: Taking taylor expansion of n in n 1545729222.768 * [misc]backup-simplify: Simplify 0 into 0 1545729222.768 * [misc]backup-simplify: Simplify 1 into 1 1545729222.768 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729222.768 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.768 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.768 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.769 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.769 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729222.769 * [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))) 1545729222.769 * [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)))) 1545729222.770 * [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))))) 1545729222.770 * [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)))))) 1545729222.770 * [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))))))) 1545729222.771 * [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))))))) 1545729222.771 * [misc]backup-simplify: Simplify 0 into 0 1545729222.771 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545729222.772 * [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 1545729222.772 * [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))))))) 1545729222.772 * [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 1545729222.772 * [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 1545729222.772 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.772 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.772 * [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 1545729222.772 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.772 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729222.772 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729222.772 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.772 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.772 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.772 * [misc]taylor: Taking taylor expansion of k in n 1545729222.772 * [misc]backup-simplify: Simplify k into k 1545729222.772 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.772 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.772 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.772 * [misc]backup-simplify: Simplify PI into PI 1545729222.773 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.773 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.773 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.773 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.773 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729222.773 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.773 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.773 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729222.773 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729222.773 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.773 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.773 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.773 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.773 * [misc]taylor: Taking taylor expansion of k in n 1545729222.773 * [misc]backup-simplify: Simplify k into k 1545729222.773 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.773 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729222.773 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729222.773 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.773 * [misc]backup-simplify: Simplify 2 into 2 1545729222.773 * [misc]taylor: Taking taylor expansion of n in n 1545729222.773 * [misc]backup-simplify: Simplify 0 into 0 1545729222.773 * [misc]backup-simplify: Simplify 1 into 1 1545729222.774 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729222.774 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.774 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.774 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.774 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.774 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729222.774 * [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))) 1545729222.774 * [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)))) 1545729222.775 * [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))))) 1545729222.775 * [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)))))) 1545729222.775 * [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))))))) 1545729222.776 * [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))))))) 1545729222.776 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545729222.777 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729222.777 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729222.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729222.778 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.778 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.778 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729222.778 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545729222.779 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729222.780 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729222.780 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729222.781 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729222.781 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.781 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545729222.782 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729222.782 * [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 1545729222.783 * [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 1545729222.783 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.783 * [misc]backup-simplify: Simplify 0 into 0 1545729222.783 * [misc]backup-simplify: Simplify 0 into 0 1545729222.783 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545729222.784 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545729222.784 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545729222.784 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545729222.784 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545729222.784 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.784 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.784 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545729222.784 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.784 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729222.784 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729222.784 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.784 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.785 * [misc]taylor: Taking taylor expansion of k in n 1545729222.785 * [misc]backup-simplify: Simplify k into k 1545729222.785 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.785 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.785 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.785 * [misc]backup-simplify: Simplify PI into PI 1545729222.785 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.785 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.785 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.785 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.785 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729222.785 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.786 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.786 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729222.786 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729222.786 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.786 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.786 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.786 * [misc]taylor: Taking taylor expansion of k in n 1545729222.786 * [misc]backup-simplify: Simplify k into k 1545729222.786 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.786 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729222.786 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729222.786 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.786 * [misc]backup-simplify: Simplify 2 into 2 1545729222.786 * [misc]taylor: Taking taylor expansion of n in n 1545729222.786 * [misc]backup-simplify: Simplify 0 into 0 1545729222.786 * [misc]backup-simplify: Simplify 1 into 1 1545729222.786 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729222.786 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.786 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.786 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.786 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.786 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729222.787 * [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))) 1545729222.787 * [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)))) 1545729222.787 * [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))))) 1545729222.788 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545729222.788 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545729222.789 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545729222.791 * [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)))))))) 1545729222.791 * [misc]backup-simplify: Simplify (/ (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545729222.792 * [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 1545729222.792 * [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 1545729222.792 * [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 1545729222.792 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.792 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729222.792 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729222.792 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.792 * [misc]taylor: Taking taylor expansion of k in n 1545729222.792 * [misc]backup-simplify: Simplify k into k 1545729222.792 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.792 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729222.792 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729222.792 * [misc]taylor: Taking taylor expansion of -2 in n 1545729222.792 * [misc]backup-simplify: Simplify -2 into -2 1545729222.792 * [misc]taylor: Taking taylor expansion of n in n 1545729222.792 * [misc]backup-simplify: Simplify 0 into 0 1545729222.792 * [misc]backup-simplify: Simplify 1 into 1 1545729222.792 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729222.793 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729222.793 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.793 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.793 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729222.793 * [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))) 1545729222.794 * [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)))) 1545729222.794 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.794 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729222.794 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729222.794 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.794 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.794 * [misc]taylor: Taking taylor expansion of k in n 1545729222.794 * [misc]backup-simplify: Simplify k into k 1545729222.794 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.794 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.794 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.794 * [misc]backup-simplify: Simplify PI into PI 1545729222.795 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.795 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.795 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.795 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729222.796 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.796 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545729222.796 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545729222.796 * [misc]taylor: Taking taylor expansion of -1 in n 1545729222.796 * [misc]backup-simplify: Simplify -1 into -1 1545729222.796 * [misc]taylor: Taking taylor expansion of k in n 1545729222.796 * [misc]backup-simplify: Simplify k into k 1545729222.796 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545729222.796 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545729222.796 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545729222.796 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545729222.797 * [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))) 1545729222.797 * [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))) 1545729222.797 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545729222.797 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545729222.797 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.797 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729222.797 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729222.797 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.797 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.797 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.798 * [misc]taylor: Taking taylor expansion of k in k 1545729222.798 * [misc]backup-simplify: Simplify 0 into 0 1545729222.798 * [misc]backup-simplify: Simplify 1 into 1 1545729222.798 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.798 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729222.798 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729222.798 * [misc]taylor: Taking taylor expansion of -2 in k 1545729222.798 * [misc]backup-simplify: Simplify -2 into -2 1545729222.798 * [misc]taylor: Taking taylor expansion of n in k 1545729222.798 * [misc]backup-simplify: Simplify n into n 1545729222.798 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729222.798 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729222.798 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.798 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.799 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729222.799 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.799 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.799 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729222.799 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729222.799 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.799 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.799 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.799 * [misc]taylor: Taking taylor expansion of k in k 1545729222.799 * [misc]backup-simplify: Simplify 0 into 0 1545729222.799 * [misc]backup-simplify: Simplify 1 into 1 1545729222.799 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.799 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.799 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.799 * [misc]backup-simplify: Simplify PI into PI 1545729222.800 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.800 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.800 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.800 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.801 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.801 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545729222.801 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545729222.801 * [misc]taylor: Taking taylor expansion of -1 in k 1545729222.801 * [misc]backup-simplify: Simplify -1 into -1 1545729222.801 * [misc]taylor: Taking taylor expansion of k in k 1545729222.801 * [misc]backup-simplify: Simplify 0 into 0 1545729222.801 * [misc]backup-simplify: Simplify 1 into 1 1545729222.801 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545729222.801 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.802 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545729222.802 * [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))) 1545729222.802 * [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)))) 1545729222.802 * [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 1545729222.802 * [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 1545729222.802 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.802 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729222.802 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729222.803 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.803 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.803 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.803 * [misc]taylor: Taking taylor expansion of k in k 1545729222.803 * [misc]backup-simplify: Simplify 0 into 0 1545729222.803 * [misc]backup-simplify: Simplify 1 into 1 1545729222.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.803 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729222.803 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729222.803 * [misc]taylor: Taking taylor expansion of -2 in k 1545729222.803 * [misc]backup-simplify: Simplify -2 into -2 1545729222.803 * [misc]taylor: Taking taylor expansion of n in k 1545729222.803 * [misc]backup-simplify: Simplify n into n 1545729222.803 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729222.803 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729222.803 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.804 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.804 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729222.804 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.804 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.804 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729222.804 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729222.804 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.804 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.804 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.804 * [misc]taylor: Taking taylor expansion of k in k 1545729222.804 * [misc]backup-simplify: Simplify 0 into 0 1545729222.804 * [misc]backup-simplify: Simplify 1 into 1 1545729222.804 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.804 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.804 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.804 * [misc]backup-simplify: Simplify PI into PI 1545729222.805 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.805 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.805 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.806 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.806 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.806 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545729222.806 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545729222.806 * [misc]taylor: Taking taylor expansion of -1 in k 1545729222.806 * [misc]backup-simplify: Simplify -1 into -1 1545729222.806 * [misc]taylor: Taking taylor expansion of k in k 1545729222.806 * [misc]backup-simplify: Simplify 0 into 0 1545729222.806 * [misc]backup-simplify: Simplify 1 into 1 1545729222.806 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545729222.806 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.807 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545729222.807 * [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))) 1545729222.807 * [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)))) 1545729222.808 * [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 1545729222.808 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.808 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.808 * [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 1545729222.808 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.808 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729222.808 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729222.808 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.808 * [misc]taylor: Taking taylor expansion of k in n 1545729222.808 * [misc]backup-simplify: Simplify k into k 1545729222.808 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.808 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729222.808 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729222.808 * [misc]taylor: Taking taylor expansion of -2 in n 1545729222.808 * [misc]backup-simplify: Simplify -2 into -2 1545729222.808 * [misc]taylor: Taking taylor expansion of n in n 1545729222.808 * [misc]backup-simplify: Simplify 0 into 0 1545729222.808 * [misc]backup-simplify: Simplify 1 into 1 1545729222.808 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729222.809 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729222.809 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.809 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.809 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729222.809 * [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))) 1545729222.810 * [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)))) 1545729222.810 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.810 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729222.810 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729222.810 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.810 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.810 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.810 * [misc]taylor: Taking taylor expansion of k in n 1545729222.810 * [misc]backup-simplify: Simplify k into k 1545729222.810 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.810 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.810 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.810 * [misc]backup-simplify: Simplify PI into PI 1545729222.811 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.811 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.811 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.811 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729222.811 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.812 * [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))) 1545729222.812 * [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)))) 1545729222.813 * [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)))) 1545729222.813 * [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 1545729222.813 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545729222.815 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545729222.815 * [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))))) 1545729222.815 * [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 1545729222.815 * [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 1545729222.815 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.815 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.815 * [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 1545729222.816 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.816 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729222.816 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729222.816 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.816 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.816 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.816 * [misc]taylor: Taking taylor expansion of k in n 1545729222.816 * [misc]backup-simplify: Simplify k into k 1545729222.816 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.816 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729222.816 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729222.816 * [misc]taylor: Taking taylor expansion of -2 in n 1545729222.816 * [misc]backup-simplify: Simplify -2 into -2 1545729222.816 * [misc]taylor: Taking taylor expansion of n in n 1545729222.816 * [misc]backup-simplify: Simplify 0 into 0 1545729222.816 * [misc]backup-simplify: Simplify 1 into 1 1545729222.816 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729222.816 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729222.817 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.817 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.817 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729222.817 * [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))) 1545729222.818 * [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)))) 1545729222.818 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.818 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729222.818 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729222.818 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.818 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.818 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.818 * [misc]taylor: Taking taylor expansion of k in n 1545729222.818 * [misc]backup-simplify: Simplify k into k 1545729222.818 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.818 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.818 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.818 * [misc]backup-simplify: Simplify PI into PI 1545729222.818 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.818 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.819 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.819 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729222.819 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.820 * [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))) 1545729222.820 * [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)))) 1545729222.821 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545729222.821 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545729222.824 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729222.824 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729222.825 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729222.825 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.825 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545729222.827 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729222.827 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545729222.829 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545729222.830 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729222.830 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729222.830 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.830 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729222.831 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545729222.832 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729222.833 * [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 1545729222.833 * [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 1545729222.833 * [misc]backup-simplify: Simplify 0 into 0 1545729222.834 * [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 1545729222.834 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729222.836 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545729222.837 * [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))))) 1545729222.837 * [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 1545729222.837 * [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 1545729222.837 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729222.837 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729222.837 * [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 1545729222.837 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.837 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729222.837 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729222.837 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.837 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.837 * [misc]taylor: Taking taylor expansion of k in n 1545729222.837 * [misc]backup-simplify: Simplify k into k 1545729222.837 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.837 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729222.837 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729222.837 * [misc]taylor: Taking taylor expansion of -2 in n 1545729222.837 * [misc]backup-simplify: Simplify -2 into -2 1545729222.838 * [misc]taylor: Taking taylor expansion of n in n 1545729222.838 * [misc]backup-simplify: Simplify 0 into 0 1545729222.838 * [misc]backup-simplify: Simplify 1 into 1 1545729222.838 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729222.838 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729222.838 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.838 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.838 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729222.839 * [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))) 1545729222.839 * [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)))) 1545729222.839 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.839 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729222.839 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729222.839 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.839 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.839 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.839 * [misc]taylor: Taking taylor expansion of k in n 1545729222.839 * [misc]backup-simplify: Simplify k into k 1545729222.839 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.840 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.840 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.840 * [misc]backup-simplify: Simplify PI into PI 1545729222.840 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.840 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.840 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.840 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729222.841 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.841 * [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))) 1545729222.842 * [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)))) 1545729222.842 * [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))))) 1545729222.843 * [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))))) 1545729222.845 * [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)))))))) 1545729222.845 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1545729222.845 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1545729222.845 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in (k n) around 0 1545729222.845 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545729222.845 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545729222.845 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545729222.845 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545729222.845 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729222.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.845 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729222.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.845 * [misc]taylor: Taking taylor expansion of k in n 1545729222.845 * [misc]backup-simplify: Simplify k into k 1545729222.845 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.845 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.845 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.846 * [misc]backup-simplify: Simplify 2 into 2 1545729222.846 * [misc]taylor: Taking taylor expansion of n in n 1545729222.846 * [misc]backup-simplify: Simplify 0 into 0 1545729222.846 * [misc]backup-simplify: Simplify 1 into 1 1545729222.846 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.846 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.846 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.846 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729222.846 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729222.846 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729222.847 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.847 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545729222.847 * [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)))) 1545729222.847 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545729222.847 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545729222.847 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545729222.847 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729222.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.847 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729222.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.847 * [misc]taylor: Taking taylor expansion of k in n 1545729222.847 * [misc]backup-simplify: Simplify k into k 1545729222.847 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.847 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.847 * [misc]backup-simplify: Simplify PI into PI 1545729222.848 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.848 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729222.848 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729222.848 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729222.848 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545729222.848 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545729222.848 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545729222.848 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729222.848 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729222.848 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729222.848 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.848 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.848 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.849 * [misc]taylor: Taking taylor expansion of k in k 1545729222.849 * [misc]backup-simplify: Simplify 0 into 0 1545729222.849 * [misc]backup-simplify: Simplify 1 into 1 1545729222.849 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729222.849 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729222.849 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.849 * [misc]backup-simplify: Simplify 2 into 2 1545729222.849 * [misc]taylor: Taking taylor expansion of n in k 1545729222.849 * [misc]backup-simplify: Simplify n into n 1545729222.849 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729222.849 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729222.849 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.849 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.849 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.849 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729222.849 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729222.849 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729222.849 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729222.849 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729222.849 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.849 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.849 * [misc]taylor: Taking taylor expansion of k in k 1545729222.849 * [misc]backup-simplify: Simplify 0 into 0 1545729222.849 * [misc]backup-simplify: Simplify 1 into 1 1545729222.849 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.849 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.849 * [misc]backup-simplify: Simplify PI into PI 1545729222.850 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.850 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.850 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.850 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.850 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.851 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729222.851 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.851 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.851 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.851 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.851 * [misc]taylor: Taking taylor expansion of k in k 1545729222.851 * [misc]backup-simplify: Simplify 0 into 0 1545729222.851 * [misc]backup-simplify: Simplify 1 into 1 1545729222.851 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.851 * [misc]backup-simplify: Simplify 2 into 2 1545729222.851 * [misc]taylor: Taking taylor expansion of n in k 1545729222.851 * [misc]backup-simplify: Simplify n into n 1545729222.851 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729222.851 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729222.851 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.851 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.851 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.851 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729222.851 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729222.851 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.851 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.851 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.851 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.852 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.852 * [misc]taylor: Taking taylor expansion of k in k 1545729222.852 * [misc]backup-simplify: Simplify 0 into 0 1545729222.852 * [misc]backup-simplify: Simplify 1 into 1 1545729222.852 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.852 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.852 * [misc]backup-simplify: Simplify PI into PI 1545729222.852 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.852 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.852 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.852 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.852 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.853 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729222.853 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545729222.853 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1545729222.853 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1545729222.853 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.853 * [misc]backup-simplify: Simplify PI into PI 1545729222.853 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1545729222.853 * [misc]taylor: Taking taylor expansion of n in n 1545729222.853 * [misc]backup-simplify: Simplify 0 into 0 1545729222.853 * [misc]backup-simplify: Simplify 1 into 1 1545729222.853 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.853 * [misc]backup-simplify: Simplify 2 into 2 1545729222.853 * [misc]backup-simplify: Simplify (* 0 2) into 0 1545729222.854 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1545729222.854 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1545729222.854 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.855 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.855 * [misc]backup-simplify: Simplify 0 into 0 1545729222.856 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729222.856 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729222.856 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.856 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545729222.859 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545729222.859 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545729222.860 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545729222.860 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729222.860 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.860 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.860 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545729222.861 * [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)))) 1545729222.862 * [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)))))) 1545729222.862 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545729222.862 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545729222.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545729222.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.862 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545729222.862 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545729222.862 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.862 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.862 * [misc]backup-simplify: Simplify 2 into 2 1545729222.862 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.862 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.862 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.862 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.862 * [misc]backup-simplify: Simplify PI into PI 1545729222.862 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.862 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.862 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.862 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.862 * [misc]backup-simplify: Simplify PI into PI 1545729222.862 * [misc]taylor: Taking taylor expansion of n in n 1545729222.862 * [misc]backup-simplify: Simplify 0 into 0 1545729222.862 * [misc]backup-simplify: Simplify 1 into 1 1545729222.863 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.863 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.863 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.863 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545729222.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.863 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545729222.863 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545729222.863 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.863 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.864 * [misc]backup-simplify: Simplify 2 into 2 1545729222.864 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.864 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.864 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.864 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.864 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.864 * [misc]backup-simplify: Simplify 2 into 2 1545729222.864 * [misc]taylor: Taking taylor expansion of n in n 1545729222.864 * [misc]backup-simplify: Simplify 0 into 0 1545729222.864 * [misc]backup-simplify: Simplify 1 into 1 1545729222.864 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.864 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.864 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.864 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.864 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.864 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.864 * [misc]backup-simplify: Simplify PI into PI 1545729222.864 * [misc]taylor: Taking taylor expansion of n in n 1545729222.864 * [misc]backup-simplify: Simplify 0 into 0 1545729222.864 * [misc]backup-simplify: Simplify 1 into 1 1545729222.864 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.865 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.865 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.865 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.866 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545729222.866 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545729222.866 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.866 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.867 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545729222.867 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545729222.867 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.867 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.867 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.867 * [misc]backup-simplify: Simplify 0 into 0 1545729222.867 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1545729222.870 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729222.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729222.870 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.870 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.871 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545729222.874 * [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))) 1545729222.874 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545729222.875 * [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 1545729222.875 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729222.875 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.876 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.876 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545729222.876 * [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))) 1545729222.878 * [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))))))) 1545729222.878 * [misc]taylor: Taking taylor expansion of (+ (* 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))))))) in n 1545729222.878 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545729222.879 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545729222.879 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545729222.879 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545729222.879 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545729222.879 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.879 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.879 * [misc]backup-simplify: Simplify 2 into 2 1545729222.879 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.879 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.879 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545729222.879 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.879 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.879 * [misc]backup-simplify: Simplify PI into PI 1545729222.879 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.879 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.879 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.879 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.879 * [misc]backup-simplify: Simplify PI into PI 1545729222.879 * [misc]taylor: Taking taylor expansion of n in n 1545729222.879 * [misc]backup-simplify: Simplify 0 into 0 1545729222.879 * [misc]backup-simplify: Simplify 1 into 1 1545729222.879 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.880 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.880 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.880 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.880 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))))) in n 1545729222.880 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545729222.880 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545729222.880 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545729222.880 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545729222.880 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545729222.880 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.880 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.880 * [misc]backup-simplify: Simplify 2 into 2 1545729222.880 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.881 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.881 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545729222.881 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.881 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.881 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.881 * [misc]backup-simplify: Simplify 2 into 2 1545729222.881 * [misc]taylor: Taking taylor expansion of n in n 1545729222.881 * [misc]backup-simplify: Simplify 0 into 0 1545729222.881 * [misc]backup-simplify: Simplify 1 into 1 1545729222.881 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.881 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.881 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.881 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.881 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.881 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.881 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.881 * [misc]backup-simplify: Simplify PI into PI 1545729222.881 * [misc]taylor: Taking taylor expansion of n in n 1545729222.881 * [misc]backup-simplify: Simplify 0 into 0 1545729222.881 * [misc]backup-simplify: Simplify 1 into 1 1545729222.881 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.882 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.882 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.882 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.882 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))) in n 1545729222.882 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545729222.882 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545729222.882 * [misc]taylor: Taking taylor expansion of (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))) in n 1545729222.882 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729222.882 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729222.882 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.882 * [misc]backup-simplify: Simplify PI into PI 1545729222.882 * [misc]taylor: Taking taylor expansion of n in n 1545729222.882 * [misc]backup-simplify: Simplify 0 into 0 1545729222.882 * [misc]backup-simplify: Simplify 1 into 1 1545729222.883 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729222.883 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729222.883 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729222.883 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729222.883 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545729222.883 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729222.883 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.883 * [misc]backup-simplify: Simplify 2 into 2 1545729222.884 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729222.884 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729222.884 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545729222.884 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.884 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.884 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.884 * [misc]backup-simplify: Simplify 2 into 2 1545729222.884 * [misc]taylor: Taking taylor expansion of n in n 1545729222.884 * [misc]backup-simplify: Simplify 0 into 0 1545729222.884 * [misc]backup-simplify: Simplify 1 into 1 1545729222.884 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.884 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.884 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.884 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.884 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.884 * [misc]backup-simplify: Simplify PI into PI 1545729222.884 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.885 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545729222.885 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545729222.886 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545729222.886 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545729222.886 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.887 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.887 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545729222.887 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545729222.888 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545729222.888 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545729222.888 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.888 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545729222.889 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545729222.890 * [misc]backup-simplify: Simplify (* 0 (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))) into 0 1545729222.890 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545729222.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.890 * [misc]backup-simplify: Simplify 0 into 0 1545729222.893 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729222.894 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545729222.895 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545729222.896 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545729222.896 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545729222.898 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729222.898 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.898 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545729222.899 * [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)))))) 1545729222.900 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +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)))))) 1545729222.902 * [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))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545729222.905 * [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))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545729222.907 * [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)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545729222.908 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1545729222.908 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1545729222.909 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545729222.909 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1545729222.913 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (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)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545729222.913 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (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))))) 1545729222.913 * [misc]approximate: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545729222.913 * [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 1545729222.913 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.913 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729222.913 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729222.913 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.913 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.913 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.913 * [misc]taylor: Taking taylor expansion of k in n 1545729222.913 * [misc]backup-simplify: Simplify k into k 1545729222.913 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.913 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.913 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.913 * [misc]backup-simplify: Simplify PI into PI 1545729222.914 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.914 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.914 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.914 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.914 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729222.914 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.914 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.914 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729222.914 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729222.914 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.914 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.914 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.914 * [misc]taylor: Taking taylor expansion of k in n 1545729222.914 * [misc]backup-simplify: Simplify k into k 1545729222.914 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.914 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729222.914 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729222.914 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.914 * [misc]backup-simplify: Simplify 2 into 2 1545729222.914 * [misc]taylor: Taking taylor expansion of n in n 1545729222.914 * [misc]backup-simplify: Simplify 0 into 0 1545729222.915 * [misc]backup-simplify: Simplify 1 into 1 1545729222.915 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729222.915 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.915 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.915 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.915 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.915 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729222.915 * [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))) 1545729222.916 * [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)))) 1545729222.916 * [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 1545729222.916 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.916 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729222.916 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729222.916 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.916 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.916 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.916 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.916 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.916 * [misc]taylor: Taking taylor expansion of k in k 1545729222.916 * [misc]backup-simplify: Simplify 0 into 0 1545729222.916 * [misc]backup-simplify: Simplify 1 into 1 1545729222.916 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.916 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.916 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.916 * [misc]backup-simplify: Simplify PI into PI 1545729222.916 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.916 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.916 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.916 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.917 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729222.917 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.917 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.917 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729222.917 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729222.917 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.917 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.917 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.917 * [misc]taylor: Taking taylor expansion of k in k 1545729222.917 * [misc]backup-simplify: Simplify 0 into 0 1545729222.917 * [misc]backup-simplify: Simplify 1 into 1 1545729222.917 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.917 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729222.917 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729222.917 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.917 * [misc]backup-simplify: Simplify 2 into 2 1545729222.917 * [misc]taylor: Taking taylor expansion of n in k 1545729222.917 * [misc]backup-simplify: Simplify n into n 1545729222.917 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729222.917 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729222.918 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.918 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.918 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.918 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729222.918 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.918 * [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 1545729222.918 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.918 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729222.918 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729222.918 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.918 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.918 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.918 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.918 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.918 * [misc]taylor: Taking taylor expansion of k in k 1545729222.918 * [misc]backup-simplify: Simplify 0 into 0 1545729222.918 * [misc]backup-simplify: Simplify 1 into 1 1545729222.918 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.918 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.918 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.918 * [misc]backup-simplify: Simplify PI into PI 1545729222.918 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.919 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.919 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.919 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.919 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729222.919 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.919 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729222.919 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729222.919 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729222.919 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729222.919 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.919 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.919 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.919 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.919 * [misc]taylor: Taking taylor expansion of k in k 1545729222.919 * [misc]backup-simplify: Simplify 0 into 0 1545729222.920 * [misc]backup-simplify: Simplify 1 into 1 1545729222.920 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.920 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729222.920 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729222.920 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.920 * [misc]backup-simplify: Simplify 2 into 2 1545729222.920 * [misc]taylor: Taking taylor expansion of n in k 1545729222.920 * [misc]backup-simplify: Simplify n into n 1545729222.920 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729222.920 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729222.920 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.920 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729222.920 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729222.920 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729222.920 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.921 * [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))))) 1545729222.921 * [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 1545729222.921 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.921 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729222.921 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729222.921 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.921 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.921 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.921 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.921 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.921 * [misc]taylor: Taking taylor expansion of k in n 1545729222.921 * [misc]backup-simplify: Simplify k into k 1545729222.921 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.921 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.921 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.921 * [misc]backup-simplify: Simplify PI into PI 1545729222.921 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.921 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.921 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.921 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.921 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729222.922 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729222.922 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729222.922 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729222.922 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729222.922 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729222.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.922 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.922 * [misc]taylor: Taking taylor expansion of k in n 1545729222.922 * [misc]backup-simplify: Simplify k into k 1545729222.922 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.922 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729222.922 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729222.922 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.922 * [misc]backup-simplify: Simplify 2 into 2 1545729222.922 * [misc]taylor: Taking taylor expansion of n in n 1545729222.922 * [misc]backup-simplify: Simplify 0 into 0 1545729222.922 * [misc]backup-simplify: Simplify 1 into 1 1545729222.922 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729222.922 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.923 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.923 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729222.923 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729222.923 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729222.923 * [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))) 1545729222.923 * [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)))) 1545729222.924 * [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))))) 1545729222.924 * [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))))) 1545729222.925 * [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 1545729222.925 * [misc]taylor: Taking taylor expansion of 0 in n 1545729222.925 * [misc]backup-simplify: Simplify 0 into 0 1545729222.925 * [misc]backup-simplify: Simplify 0 into 0 1545729222.925 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545729222.927 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729222.928 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729222.928 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729222.928 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.928 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.928 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729222.929 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545729222.930 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729222.932 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729222.933 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729222.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729222.933 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.933 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.934 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545729222.935 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729222.936 * [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 1545729222.936 * [misc]backup-simplify: Simplify 0 into 0 1545729222.936 * [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 1545729222.936 * [misc]taylor: Taking taylor expansion of 0 in n 1545729222.936 * [misc]backup-simplify: Simplify 0 into 0 1545729222.936 * [misc]backup-simplify: Simplify 0 into 0 1545729222.936 * [misc]backup-simplify: Simplify 0 into 0 1545729222.937 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729222.941 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545729222.941 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729222.941 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729222.942 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.942 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729222.943 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545729222.945 * [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 1545729222.951 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729222.951 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729222.951 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729222.951 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.952 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.953 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545729222.955 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545729222.955 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545729222.955 * [misc]backup-simplify: Simplify 0 into 0 1545729222.956 * [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 1545729222.956 * [misc]taylor: Taking taylor expansion of 0 in n 1545729222.956 * [misc]backup-simplify: Simplify 0 into 0 1545729222.956 * [misc]backup-simplify: Simplify 0 into 0 1545729222.957 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (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)))) (pow PI (- 1/2 (* 1/2 k)))) 1545729222.957 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (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))) 1545729222.957 * [misc]approximate: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545729222.957 * [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 1545729222.957 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.957 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729222.957 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729222.957 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.957 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.957 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.957 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.957 * [misc]taylor: Taking taylor expansion of k in n 1545729222.957 * [misc]backup-simplify: Simplify k into k 1545729222.958 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.958 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.958 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729222.958 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729222.958 * [misc]taylor: Taking taylor expansion of -2 in n 1545729222.958 * [misc]backup-simplify: Simplify -2 into -2 1545729222.958 * [misc]taylor: Taking taylor expansion of n in n 1545729222.958 * [misc]backup-simplify: Simplify 0 into 0 1545729222.958 * [misc]backup-simplify: Simplify 1 into 1 1545729222.958 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729222.958 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729222.958 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.958 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.959 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729222.959 * [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))) 1545729222.959 * [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)))) 1545729222.959 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.959 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729222.959 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729222.959 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.959 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.960 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.960 * [misc]taylor: Taking taylor expansion of k in n 1545729222.960 * [misc]backup-simplify: Simplify k into k 1545729222.960 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.960 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.960 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.960 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.960 * [misc]backup-simplify: Simplify PI into PI 1545729222.960 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.960 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.960 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.961 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729222.961 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.961 * [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 1545729222.961 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.961 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729222.961 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729222.961 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.961 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.961 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.961 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.961 * [misc]taylor: Taking taylor expansion of k in k 1545729222.961 * [misc]backup-simplify: Simplify 0 into 0 1545729222.962 * [misc]backup-simplify: Simplify 1 into 1 1545729222.962 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.962 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.962 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729222.962 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729222.962 * [misc]taylor: Taking taylor expansion of -2 in k 1545729222.962 * [misc]backup-simplify: Simplify -2 into -2 1545729222.962 * [misc]taylor: Taking taylor expansion of n in k 1545729222.962 * [misc]backup-simplify: Simplify n into n 1545729222.962 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729222.962 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729222.962 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.962 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.962 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729222.963 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.963 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.963 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729222.963 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729222.963 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.963 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.963 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.963 * [misc]taylor: Taking taylor expansion of k in k 1545729222.963 * [misc]backup-simplify: Simplify 0 into 0 1545729222.963 * [misc]backup-simplify: Simplify 1 into 1 1545729222.963 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.963 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.963 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.963 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.963 * [misc]backup-simplify: Simplify PI into PI 1545729222.964 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.964 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.964 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.964 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.965 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.965 * [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 1545729222.965 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.965 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729222.965 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729222.965 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.965 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.965 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.965 * [misc]taylor: Taking taylor expansion of k in k 1545729222.965 * [misc]backup-simplify: Simplify 0 into 0 1545729222.965 * [misc]backup-simplify: Simplify 1 into 1 1545729222.965 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.965 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729222.965 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729222.965 * [misc]taylor: Taking taylor expansion of -2 in k 1545729222.965 * [misc]backup-simplify: Simplify -2 into -2 1545729222.965 * [misc]taylor: Taking taylor expansion of n in k 1545729222.965 * [misc]backup-simplify: Simplify n into n 1545729222.966 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729222.966 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729222.966 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.966 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.966 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729222.966 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.966 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729222.966 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729222.966 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729222.966 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729222.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729222.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729222.966 * [misc]taylor: Taking taylor expansion of k in k 1545729222.967 * [misc]backup-simplify: Simplify 0 into 0 1545729222.967 * [misc]backup-simplify: Simplify 1 into 1 1545729222.967 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729222.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.967 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729222.967 * [misc]taylor: Taking taylor expansion of PI in k 1545729222.967 * [misc]backup-simplify: Simplify PI into PI 1545729222.967 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.967 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729222.967 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.968 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729222.968 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.969 * [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))) 1545729222.969 * [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 1545729222.969 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.969 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729222.969 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729222.969 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.969 * [misc]taylor: Taking taylor expansion of k in n 1545729222.969 * [misc]backup-simplify: Simplify k into k 1545729222.969 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.969 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729222.969 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729222.969 * [misc]taylor: Taking taylor expansion of -2 in n 1545729222.969 * [misc]backup-simplify: Simplify -2 into -2 1545729222.969 * [misc]taylor: Taking taylor expansion of n in n 1545729222.969 * [misc]backup-simplify: Simplify 0 into 0 1545729222.969 * [misc]backup-simplify: Simplify 1 into 1 1545729222.969 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729222.970 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729222.970 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.970 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.970 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729222.970 * [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))) 1545729222.971 * [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)))) 1545729222.971 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729222.971 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729222.971 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729222.971 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729222.971 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729222.971 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.971 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729222.971 * [misc]taylor: Taking taylor expansion of k in n 1545729222.971 * [misc]backup-simplify: Simplify k into k 1545729222.971 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729222.971 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.971 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729222.971 * [misc]taylor: Taking taylor expansion of PI in n 1545729222.971 * [misc]backup-simplify: Simplify PI into PI 1545729222.972 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729222.972 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729222.972 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729222.972 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729222.973 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729222.973 * [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))) 1545729222.974 * [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))) 1545729222.974 * [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 1545729222.974 * [misc]taylor: Taking taylor expansion of 0 in n 1545729222.974 * [misc]backup-simplify: Simplify 0 into 0 1545729222.974 * [misc]backup-simplify: Simplify 0 into 0 1545729222.977 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729222.977 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729222.977 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729222.977 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.978 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545729222.979 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729222.979 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545729222.981 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545729222.981 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729222.981 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729222.981 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.981 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729222.981 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545729222.982 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729222.983 * [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 1545729222.983 * [misc]backup-simplify: Simplify 0 into 0 1545729222.983 * [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 1545729222.983 * [misc]taylor: Taking taylor expansion of 0 in n 1545729222.983 * [misc]backup-simplify: Simplify 0 into 0 1545729222.983 * [misc]backup-simplify: Simplify 0 into 0 1545729222.983 * [misc]backup-simplify: Simplify 0 into 0 1545729222.986 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729222.986 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729222.986 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729222.986 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.987 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545729222.988 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545729222.988 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729222.991 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545729222.991 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729222.991 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729222.991 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729222.991 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729222.992 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545729222.993 * [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 1545729222.994 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545729222.994 * [misc]backup-simplify: Simplify 0 into 0 1545729222.994 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545729222.994 * [misc]taylor: Taking taylor expansion of 0 in n 1545729222.994 * [misc]backup-simplify: Simplify 0 into 0 1545729222.994 * [misc]backup-simplify: Simplify 0 into 0 1545729222.994 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545729222.994 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) 1545729222.995 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545729222.995 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545729222.995 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729222.995 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729222.995 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729222.995 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.995 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.995 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.995 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.995 * [misc]taylor: Taking taylor expansion of k in k 1545729222.995 * [misc]backup-simplify: Simplify 0 into 0 1545729222.995 * [misc]backup-simplify: Simplify 1 into 1 1545729222.995 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729222.995 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729222.995 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.995 * [misc]backup-simplify: Simplify 2 into 2 1545729222.995 * [misc]taylor: Taking taylor expansion of n in k 1545729222.995 * [misc]backup-simplify: Simplify n into n 1545729222.995 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729222.995 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729222.995 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.995 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.995 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.995 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729222.995 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729222.995 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545729222.995 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545729222.995 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545729222.995 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729222.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.995 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729222.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.996 * [misc]taylor: Taking taylor expansion of k in n 1545729222.996 * [misc]backup-simplify: Simplify k into k 1545729222.996 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.996 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.996 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.996 * [misc]backup-simplify: Simplify 2 into 2 1545729222.996 * [misc]taylor: Taking taylor expansion of n in n 1545729222.996 * [misc]backup-simplify: Simplify 0 into 0 1545729222.996 * [misc]backup-simplify: Simplify 1 into 1 1545729222.996 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.996 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.996 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.996 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729222.996 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729222.996 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729222.996 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.997 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545729222.997 * [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)))) 1545729222.997 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545729222.997 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545729222.997 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545729222.997 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729222.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.997 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729222.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729222.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.997 * [misc]taylor: Taking taylor expansion of k in n 1545729222.997 * [misc]backup-simplify: Simplify k into k 1545729222.997 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729222.997 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729222.997 * [misc]taylor: Taking taylor expansion of 2 in n 1545729222.997 * [misc]backup-simplify: Simplify 2 into 2 1545729222.997 * [misc]taylor: Taking taylor expansion of n in n 1545729222.997 * [misc]backup-simplify: Simplify 0 into 0 1545729222.997 * [misc]backup-simplify: Simplify 1 into 1 1545729222.997 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729222.997 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729222.997 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.997 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729222.997 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729222.998 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729222.998 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729222.998 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545729222.998 * [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)))) 1545729222.998 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545729222.998 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545729222.998 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545729222.998 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545729222.998 * [misc]taylor: Taking taylor expansion of 2 in k 1545729222.998 * [misc]backup-simplify: Simplify 2 into 2 1545729222.998 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729222.998 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729222.998 * [misc]taylor: Taking taylor expansion of n in k 1545729222.998 * [misc]backup-simplify: Simplify n into n 1545729222.998 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729222.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729222.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.999 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729222.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729222.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729222.999 * [misc]taylor: Taking taylor expansion of k in k 1545729222.999 * [misc]backup-simplify: Simplify 0 into 0 1545729222.999 * [misc]backup-simplify: Simplify 1 into 1 1545729222.999 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545729222.999 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729222.999 * [misc]backup-simplify: Simplify (- 0) into 0 1545729222.999 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729222.999 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545729222.999 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545729223.000 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545729223.000 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545729223.001 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729223.002 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545729223.002 * [misc]backup-simplify: Simplify (- 0) into 0 1545729223.002 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.002 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729223.002 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545729223.003 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729223.003 * [misc]taylor: Taking taylor expansion of 0 in k 1545729223.003 * [misc]backup-simplify: Simplify 0 into 0 1545729223.003 * [misc]backup-simplify: Simplify 0 into 0 1545729223.003 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729223.003 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729223.004 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729223.006 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729223.007 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545729223.007 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.007 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545729223.008 * [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))))) 1545729223.009 * [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))))) 1545729223.009 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545729223.013 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545729223.014 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545729223.014 * [misc]backup-simplify: Simplify (- 0) into 0 1545729223.014 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.014 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729223.015 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545729223.017 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545729223.017 * [misc]taylor: Taking taylor expansion of 0 in k 1545729223.017 * [misc]backup-simplify: Simplify 0 into 0 1545729223.017 * [misc]backup-simplify: Simplify 0 into 0 1545729223.017 * [misc]backup-simplify: Simplify 0 into 0 1545729223.017 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729223.018 * [misc]backup-simplify: Simplify (- 0) into 0 1545729223.018 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.022 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545729223.025 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545729223.025 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.026 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545729223.027 * [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))))) 1545729223.029 * [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))))) 1545729223.032 * [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))))) 1545729223.032 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729223.032 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545729223.032 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729223.032 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729223.032 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729223.032 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729223.032 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729223.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.032 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729223.032 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729223.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.032 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729223.032 * [misc]taylor: Taking taylor expansion of k in k 1545729223.032 * [misc]backup-simplify: Simplify 0 into 0 1545729223.032 * [misc]backup-simplify: Simplify 1 into 1 1545729223.032 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729223.032 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729223.032 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729223.032 * [misc]taylor: Taking taylor expansion of 2 in k 1545729223.032 * [misc]backup-simplify: Simplify 2 into 2 1545729223.032 * [misc]taylor: Taking taylor expansion of n in k 1545729223.032 * [misc]backup-simplify: Simplify n into n 1545729223.032 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729223.032 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729223.032 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729223.033 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729223.033 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729223.033 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729223.033 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729223.033 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729223.033 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729223.033 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729223.033 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729223.033 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729223.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.033 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729223.033 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729223.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.033 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729223.033 * [misc]taylor: Taking taylor expansion of k in n 1545729223.033 * [misc]backup-simplify: Simplify k into k 1545729223.033 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729223.033 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729223.033 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729223.033 * [misc]taylor: Taking taylor expansion of 2 in n 1545729223.033 * [misc]backup-simplify: Simplify 2 into 2 1545729223.033 * [misc]taylor: Taking taylor expansion of n in n 1545729223.033 * [misc]backup-simplify: Simplify 0 into 0 1545729223.033 * [misc]backup-simplify: Simplify 1 into 1 1545729223.033 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729223.033 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729223.033 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729223.034 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729223.034 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729223.034 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729223.034 * [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))) 1545729223.034 * [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)))) 1545729223.034 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729223.034 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729223.034 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729223.034 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729223.034 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729223.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.034 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729223.034 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729223.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.034 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729223.034 * [misc]taylor: Taking taylor expansion of k in n 1545729223.034 * [misc]backup-simplify: Simplify k into k 1545729223.034 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729223.035 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729223.035 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729223.035 * [misc]taylor: Taking taylor expansion of 2 in n 1545729223.035 * [misc]backup-simplify: Simplify 2 into 2 1545729223.035 * [misc]taylor: Taking taylor expansion of n in n 1545729223.035 * [misc]backup-simplify: Simplify 0 into 0 1545729223.035 * [misc]backup-simplify: Simplify 1 into 1 1545729223.035 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729223.035 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729223.035 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729223.035 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729223.035 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729223.035 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729223.036 * [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))) 1545729223.036 * [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)))) 1545729223.036 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545729223.036 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545729223.036 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729223.036 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729223.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.036 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729223.036 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729223.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.036 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729223.036 * [misc]taylor: Taking taylor expansion of k in k 1545729223.036 * [misc]backup-simplify: Simplify 0 into 0 1545729223.036 * [misc]backup-simplify: Simplify 1 into 1 1545729223.036 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729223.036 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545729223.036 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545729223.036 * [misc]taylor: Taking taylor expansion of 2 in k 1545729223.036 * [misc]backup-simplify: Simplify 2 into 2 1545729223.036 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729223.036 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729223.036 * [misc]taylor: Taking taylor expansion of n in k 1545729223.036 * [misc]backup-simplify: Simplify n into n 1545729223.036 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729223.036 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729223.037 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729223.037 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729223.037 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545729223.037 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545729223.037 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545729223.037 * [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)))) 1545729223.037 * [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)))) 1545729223.038 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545729223.039 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729223.039 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729223.039 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729223.039 * [misc]backup-simplify: Simplify (- 0) into 0 1545729223.040 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.040 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729223.040 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545729223.041 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729223.041 * [misc]taylor: Taking taylor expansion of 0 in k 1545729223.041 * [misc]backup-simplify: Simplify 0 into 0 1545729223.041 * [misc]backup-simplify: Simplify 0 into 0 1545729223.041 * [misc]backup-simplify: Simplify 0 into 0 1545729223.041 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729223.044 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545729223.044 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729223.044 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729223.045 * [misc]backup-simplify: Simplify (- 0) into 0 1545729223.045 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.045 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729223.045 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545729223.046 * [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 1545729223.046 * [misc]taylor: Taking taylor expansion of 0 in k 1545729223.046 * [misc]backup-simplify: Simplify 0 into 0 1545729223.046 * [misc]backup-simplify: Simplify 0 into 0 1545729223.046 * [misc]backup-simplify: Simplify 0 into 0 1545729223.047 * [misc]backup-simplify: Simplify 0 into 0 1545729223.047 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729223.051 * [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 1545729223.051 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729223.051 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545729223.051 * [misc]backup-simplify: Simplify (- 0) into 0 1545729223.051 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.052 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729223.052 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545729223.054 * [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 1545729223.054 * [misc]taylor: Taking taylor expansion of 0 in k 1545729223.054 * [misc]backup-simplify: Simplify 0 into 0 1545729223.054 * [misc]backup-simplify: Simplify 0 into 0 1545729223.055 * [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)))) 1545729223.055 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729223.055 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545729223.055 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729223.055 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729223.055 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729223.055 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729223.055 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729223.055 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729223.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.055 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729223.055 * [misc]taylor: Taking taylor expansion of k in k 1545729223.055 * [misc]backup-simplify: Simplify 0 into 0 1545729223.055 * [misc]backup-simplify: Simplify 1 into 1 1545729223.055 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729223.055 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729223.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.055 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729223.055 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729223.055 * [misc]taylor: Taking taylor expansion of -2 in k 1545729223.055 * [misc]backup-simplify: Simplify -2 into -2 1545729223.055 * [misc]taylor: Taking taylor expansion of n in k 1545729223.055 * [misc]backup-simplify: Simplify n into n 1545729223.055 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729223.055 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729223.056 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729223.056 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729223.056 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729223.056 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729223.056 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729223.056 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729223.056 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729223.056 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729223.056 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729223.056 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729223.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.056 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729223.056 * [misc]taylor: Taking taylor expansion of k in n 1545729223.056 * [misc]backup-simplify: Simplify k into k 1545729223.056 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729223.056 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729223.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.056 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729223.056 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729223.056 * [misc]taylor: Taking taylor expansion of -2 in n 1545729223.056 * [misc]backup-simplify: Simplify -2 into -2 1545729223.056 * [misc]taylor: Taking taylor expansion of n in n 1545729223.056 * [misc]backup-simplify: Simplify 0 into 0 1545729223.056 * [misc]backup-simplify: Simplify 1 into 1 1545729223.056 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729223.056 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729223.057 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729223.057 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729223.057 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729223.057 * [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))) 1545729223.057 * [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)))) 1545729223.057 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729223.057 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729223.057 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729223.057 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729223.057 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729223.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729223.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729223.057 * [misc]taylor: Taking taylor expansion of k in n 1545729223.057 * [misc]backup-simplify: Simplify k into k 1545729223.057 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729223.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729223.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.058 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729223.058 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729223.058 * [misc]taylor: Taking taylor expansion of -2 in n 1545729223.058 * [misc]backup-simplify: Simplify -2 into -2 1545729223.058 * [misc]taylor: Taking taylor expansion of n in n 1545729223.058 * [misc]backup-simplify: Simplify 0 into 0 1545729223.058 * [misc]backup-simplify: Simplify 1 into 1 1545729223.058 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729223.058 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729223.058 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729223.058 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729223.058 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729223.058 * [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))) 1545729223.059 * [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)))) 1545729223.059 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545729223.059 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545729223.059 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729223.059 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729223.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729223.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729223.059 * [misc]taylor: Taking taylor expansion of k in k 1545729223.059 * [misc]backup-simplify: Simplify 0 into 0 1545729223.059 * [misc]backup-simplify: Simplify 1 into 1 1545729223.059 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729223.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729223.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729223.059 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545729223.059 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545729223.059 * [misc]taylor: Taking taylor expansion of -2 in k 1545729223.059 * [misc]backup-simplify: Simplify -2 into -2 1545729223.059 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729223.059 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729223.059 * [misc]taylor: Taking taylor expansion of n in k 1545729223.059 * [misc]backup-simplify: Simplify n into n 1545729223.059 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729223.059 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729223.059 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729223.059 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545729223.060 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545729223.060 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545729223.060 * [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)))) 1545729223.060 * [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)))) 1545729223.060 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545729223.062 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545729223.062 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729223.062 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729223.062 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.063 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729223.063 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545729223.064 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729223.064 * [misc]taylor: Taking taylor expansion of 0 in k 1545729223.064 * [misc]backup-simplify: Simplify 0 into 0 1545729223.064 * [misc]backup-simplify: Simplify 0 into 0 1545729223.064 * [misc]backup-simplify: Simplify 0 into 0 1545729223.064 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729223.069 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545729223.069 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729223.069 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729223.070 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.070 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729223.070 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545729223.073 * [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 1545729223.073 * [misc]taylor: Taking taylor expansion of 0 in k 1545729223.073 * [misc]backup-simplify: Simplify 0 into 0 1545729223.073 * [misc]backup-simplify: Simplify 0 into 0 1545729223.073 * [misc]backup-simplify: Simplify 0 into 0 1545729223.073 * [misc]backup-simplify: Simplify 0 into 0 1545729223.074 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729223.080 * [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 1545729223.081 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729223.081 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545729223.081 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729223.082 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729223.082 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545729223.086 * [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 1545729223.086 * [misc]taylor: Taking taylor expansion of 0 in k 1545729223.086 * [misc]backup-simplify: Simplify 0 into 0 1545729223.086 * [misc]backup-simplify: Simplify 0 into 0 1545729223.086 * [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))))) 1545729223.086 * * * [misc]progress: simplifying candidates 1545729223.086 * * * * [misc]progress: [ 1 / 102 ] simplifiying candidate # 1545729223.087 * * * * [misc]progress: [ 2 / 102 ] simplifiying candidate # 1545729223.087 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545729223.087 * * [misc]simplify: iters left: 3 (5 enodes) 1545729223.088 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545729223.089 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow PI 1/2) (pow PI (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729223.089 * * * * [misc]progress: [ 3 / 102 ] simplifiying candidate # 1545729223.089 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545729223.089 * * [misc]simplify: iters left: 5 (6 enodes) 1545729223.091 * * [misc]simplify: iters left: 4 (8 enodes) 1545729223.093 * * [misc]simplify: iters left: 3 (11 enodes) 1545729223.096 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545729223.096 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729223.096 * * * * [misc]progress: [ 4 / 102 ] simplifiying candidate # 1545729223.097 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545729223.097 * * [misc]simplify: iters left: 5 (6 enodes) 1545729223.098 * * [misc]simplify: iters left: 4 (8 enodes) 1545729223.101 * * [misc]simplify: iters left: 3 (11 enodes) 1545729223.103 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545729223.104 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729223.104 * * * * [misc]progress: [ 5 / 102 ] simplifiying candidate # 1545729223.104 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545729223.104 * * [misc]simplify: iters left: 4 (5 enodes) 1545729223.105 * * [misc]simplify: iters left: 3 (7 enodes) 1545729223.106 * * [misc]simplify: iters left: 2 (10 enodes) 1545729223.107 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545729223.107 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow PI 1) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729223.107 * * * * [misc]progress: [ 6 / 102 ] simplifiying candidate # 1545729223.107 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545729223.107 * * [misc]simplify: iters left: 5 (6 enodes) 1545729223.108 * * [misc]simplify: iters left: 4 (8 enodes) 1545729223.109 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545729223.109 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729223.109 * * * * [misc]progress: [ 7 / 102 ] simplifiying candidate # 1545729223.109 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545729223.109 * * [misc]simplify: iters left: 5 (6 enodes) 1545729223.110 * * [misc]simplify: iters left: 4 (8 enodes) 1545729223.111 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545729223.111 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729223.111 * * * * [misc]progress: [ 8 / 102 ] simplifiying candidate # 1545729223.111 * * * * [misc]progress: [ 9 / 102 ] simplifiying candidate # 1545729223.111 * * * * [misc]progress: [ 10 / 102 ] simplifiying candidate # 1545729223.112 * * * * [misc]progress: [ 11 / 102 ] simplifiying candidate # 1545729223.112 * * * * [misc]progress: [ 12 / 102 ] simplifiying candidate # 1545729223.112 * * * * [misc]progress: [ 13 / 102 ] simplifiying candidate # 1545729223.112 * * * * [misc]progress: [ 14 / 102 ] simplifiying candidate # 1545729223.112 * * * * [misc]progress: [ 15 / 102 ] simplifiying candidate # 1545729223.112 * * * * [misc]progress: [ 16 / 102 ] simplifiying candidate # 1545729223.112 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545729223.112 * * [misc]simplify: iters left: 6 (16 enodes) 1545729223.115 * * [misc]simplify: iters left: 5 (31 enodes) 1545729223.120 * * [misc]simplify: iters left: 4 (66 enodes) 1545729223.141 * * [misc]simplify: iters left: 3 (209 enodes) 1545729223.243 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1545729223.243 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1545729223.243 * * * * [misc]progress: [ 17 / 102 ] simplifiying candidate # 1545729223.243 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545729223.243 * * [misc]simplify: iters left: 6 (16 enodes) 1545729223.246 * * [misc]simplify: iters left: 5 (31 enodes) 1545729223.252 * * [misc]simplify: iters left: 4 (66 enodes) 1545729223.272 * * [misc]simplify: iters left: 3 (209 enodes) 1545729223.405 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1545729223.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1545729223.405 * * * * [misc]progress: [ 18 / 102 ] simplifiying candidate # 1545729223.405 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545729223.405 * * [misc]simplify: iters left: 6 (16 enodes) 1545729223.408 * * [misc]simplify: iters left: 5 (27 enodes) 1545729223.413 * * [misc]simplify: iters left: 4 (53 enodes) 1545729223.438 * * [misc]simplify: iters left: 3 (119 enodes) 1545729223.510 * * [misc]simplify: iters left: 2 (417 enodes) 1545729224.331 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545729224.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545729224.331 * * * * [misc]progress: [ 19 / 102 ] simplifiying candidate # 1545729224.331 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545729224.331 * * [misc]simplify: iters left: 6 (16 enodes) 1545729224.334 * * [misc]simplify: iters left: 5 (30 enodes) 1545729224.339 * * [misc]simplify: iters left: 4 (59 enodes) 1545729224.366 * * [misc]simplify: iters left: 3 (167 enodes) 1545729224.466 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545729224.466 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545729224.466 * * * * [misc]progress: [ 20 / 102 ] simplifiying candidate # 1545729224.466 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545729224.466 * * [misc]simplify: iters left: 6 (16 enodes) 1545729224.469 * * [misc]simplify: iters left: 5 (30 enodes) 1545729224.474 * * [misc]simplify: iters left: 4 (59 enodes) 1545729224.492 * * [misc]simplify: iters left: 3 (167 enodes) 1545729224.605 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545729224.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545729224.606 * * * * [misc]progress: [ 21 / 102 ] simplifiying candidate # 1545729224.606 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545729224.606 * * [misc]simplify: iters left: 6 (16 enodes) 1545729224.610 * * [misc]simplify: iters left: 5 (28 enodes) 1545729224.619 * * [misc]simplify: iters left: 4 (49 enodes) 1545729224.636 * * [misc]simplify: iters left: 3 (89 enodes) 1545729224.668 * * [misc]simplify: iters left: 2 (331 enodes) 1545729224.978 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545729224.978 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545729224.978 * * * * [misc]progress: [ 22 / 102 ] simplifiying candidate # 1545729224.978 * [enter]simplify: Simplifying (- (log (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545729224.978 * * [misc]simplify: iters left: 6 (15 enodes) 1545729224.980 * * [misc]simplify: iters left: 5 (24 enodes) 1545729224.984 * * [misc]simplify: iters left: 4 (37 enodes) 1545729224.989 * * [misc]simplify: iters left: 3 (55 enodes) 1545729225.004 * * [misc]simplify: iters left: 2 (92 enodes) 1545729225.067 * * [misc]simplify: iters left: 1 (352 enodes) 1545729225.473 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545729225.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545729225.474 * * * * [misc]progress: [ 23 / 102 ] simplifiying candidate # 1545729225.474 * * * * [misc]progress: [ 24 / 102 ] simplifiying candidate # 1545729225.474 * * * * [misc]progress: [ 25 / 102 ] simplifiying candidate # 1545729225.474 * [enter]simplify: Simplifying (/ (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545729225.474 * * [misc]simplify: iters left: 6 (19 enodes) 1545729225.477 * * [misc]simplify: iters left: 5 (37 enodes) 1545729225.485 * * [misc]simplify: iters left: 4 (124 enodes) 1545729225.520 * * [misc]simplify: iters left: 3 (414 enodes) 1545729225.914 * [exit]simplify: Simplified to (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545729225.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545729225.914 * * * * [misc]progress: [ 26 / 102 ] simplifiying candidate # 1545729225.915 * [enter]simplify: Simplifying (/ (* (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545729225.915 * * [misc]simplify: iters left: 6 (17 enodes) 1545729225.921 * * [misc]simplify: iters left: 5 (36 enodes) 1545729225.934 * * [misc]simplify: iters left: 4 (104 enodes) 1545729225.986 * * [misc]simplify: iters left: 3 (355 enodes) 1545729226.419 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* k (sqrt k))) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545729226.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* k (sqrt k))) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545729226.419 * * * * [misc]progress: [ 27 / 102 ] simplifiying candidate # 1545729226.419 * * * * [misc]progress: [ 28 / 102 ] simplifiying candidate # 1545729226.419 * * * * [misc]progress: [ 29 / 102 ] simplifiying candidate # 1545729226.419 * * * * [misc]progress: [ 30 / 102 ] simplifiying candidate # 1545729226.419 * * * * [misc]progress: [ 31 / 102 ] simplifiying candidate # 1545729226.419 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729226.420 * * [misc]simplify: iters left: 6 (11 enodes) 1545729226.423 * * [misc]simplify: iters left: 5 (15 enodes) 1545729226.427 * * [misc]simplify: iters left: 4 (18 enodes) 1545729226.430 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545729226.430 * [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))))) 1545729226.430 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545729226.430 * * [misc]simplify: iters left: 6 (11 enodes) 1545729226.432 * * [misc]simplify: iters left: 5 (14 enodes) 1545729226.433 * * [misc]simplify: iters left: 4 (17 enodes) 1545729226.436 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545729226.436 * [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))))) 1545729226.436 * * * * [misc]progress: [ 32 / 102 ] simplifiying candidate # 1545729226.436 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729226.436 * * [misc]simplify: iters left: 6 (10 enodes) 1545729226.438 * * [misc]simplify: iters left: 5 (12 enodes) 1545729226.439 * * [misc]simplify: iters left: 4 (15 enodes) 1545729226.441 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729226.441 * [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))))) 1545729226.441 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729226.441 * * [misc]simplify: iters left: 6 (11 enodes) 1545729226.443 * * [misc]simplify: iters left: 5 (14 enodes) 1545729226.445 * * [misc]simplify: iters left: 4 (17 enodes) 1545729226.447 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545729226.447 * [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))))) 1545729226.448 * * * * [misc]progress: [ 33 / 102 ] simplifiying candidate # 1545729226.448 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545729226.448 * * [misc]simplify: iters left: 6 (9 enodes) 1545729226.449 * * [misc]simplify: iters left: 5 (13 enodes) 1545729226.451 * * [misc]simplify: iters left: 4 (18 enodes) 1545729226.453 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545729226.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545729226.453 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545729226.453 * * [misc]simplify: iters left: 6 (10 enodes) 1545729226.455 * * [misc]simplify: iters left: 5 (13 enodes) 1545729226.457 * * [misc]simplify: iters left: 4 (16 enodes) 1545729226.459 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545729226.459 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545729226.459 * * * * [misc]progress: [ 34 / 102 ] simplifiying candidate # 1545729226.459 * * * * [misc]progress: [ 35 / 102 ] simplifiying candidate # 1545729226.459 * * * * [misc]progress: [ 36 / 102 ] simplifiying candidate # 1545729226.459 * * * * [misc]progress: [ 37 / 102 ] simplifiying candidate # 1545729226.459 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545729226.459 * * [misc]simplify: iters left: 2 (3 enodes) 1545729226.460 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545729226.460 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1545729226.460 * * * * [misc]progress: [ 38 / 102 ] simplifiying candidate # 1545729226.460 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545729226.460 * * [misc]simplify: iters left: 2 (3 enodes) 1545729226.460 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545729226.460 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545729226.460 * * * * [misc]progress: [ 39 / 102 ] simplifiying candidate # 1545729226.460 * [enter]simplify: Simplifying (sqrt k) 1545729226.460 * * [misc]simplify: iters left: 1 (2 enodes) 1545729226.461 * [exit]simplify: Simplified to (sqrt k) 1545729226.461 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt k))) 1545729226.461 * * * * [misc]progress: [ 40 / 102 ] simplifiying candidate # 1545729226.461 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545729226.461 * * [misc]simplify: iters left: 5 (7 enodes) 1545729226.462 * * [misc]simplify: iters left: 4 (9 enodes) 1545729226.463 * * [misc]simplify: iters left: 3 (12 enodes) 1545729226.467 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545729226.467 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545729226.467 * * * * [misc]progress: [ 41 / 102 ] simplifiying candidate # 1545729226.467 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1545729226.467 * * [misc]simplify: iters left: 5 (8 enodes) 1545729226.470 * * [misc]simplify: iters left: 4 (12 enodes) 1545729226.473 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545729226.473 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* n 2)) (sqrt PI)) (* (sqrt k) (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2)))))) 1545729226.473 * * * * [misc]progress: [ 42 / 102 ] simplifiying candidate # 1545729226.473 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) 1545729226.473 * * [misc]simplify: iters left: 6 (11 enodes) 1545729226.477 * * [misc]simplify: iters left: 5 (16 enodes) 1545729226.481 * * [misc]simplify: iters left: 4 (19 enodes) 1545729226.486 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) 1545729226.486 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) (pow (* n 2) (/ k 2))))) 1545729226.486 * * * * [misc]progress: [ 43 / 102 ] simplifiying candidate # 1545729226.486 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729226.486 * * [misc]simplify: iters left: 6 (11 enodes) 1545729226.490 * * [misc]simplify: iters left: 5 (16 enodes) 1545729226.493 * * [misc]simplify: iters left: 4 (19 enodes) 1545729226.495 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729226.495 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt k) (pow PI (/ k 2))))) 1545729226.495 * * * * [misc]progress: [ 44 / 102 ] simplifiying candidate # 1545729226.495 * [enter]simplify: Simplifying (* PI (* n 2)) 1545729226.495 * * [misc]simplify: iters left: 4 (5 enodes) 1545729226.496 * * [misc]simplify: iters left: 3 (9 enodes) 1545729226.497 * * [misc]simplify: iters left: 2 (15 enodes) 1545729226.499 * * [misc]simplify: iters left: 1 (17 enodes) 1545729226.502 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545729226.502 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1545729226.502 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545729226.502 * * [misc]simplify: iters left: 4 (5 enodes) 1545729226.503 * * [misc]simplify: iters left: 3 (7 enodes) 1545729226.504 * * [misc]simplify: iters left: 2 (10 enodes) 1545729226.505 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545729226.505 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1545729226.505 * * * * [misc]progress: [ 45 / 102 ] simplifiying candidate # 1545729226.505 * * * * [misc]progress: [ 46 / 102 ] simplifiying candidate # 1545729226.505 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545729226.505 * * [misc]simplify: iters left: 6 (13 enodes) 1545729226.508 * * [misc]simplify: iters left: 5 (24 enodes) 1545729226.512 * * [misc]simplify: iters left: 4 (51 enodes) 1545729226.530 * * [misc]simplify: iters left: 3 (139 enodes) 1545729226.609 * * [misc]simplify: iters left: 2 (419 enodes) 1545729226.923 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545729226.923 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545729226.923 * * * * [misc]progress: [ 47 / 102 ] simplifiying candidate # 1545729226.923 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545729226.923 * * [misc]simplify: iters left: 6 (13 enodes) 1545729226.928 * * [misc]simplify: iters left: 5 (24 enodes) 1545729226.940 * * [misc]simplify: iters left: 4 (51 enodes) 1545729226.950 * * [misc]simplify: iters left: 3 (139 enodes) 1545729226.988 * * [misc]simplify: iters left: 2 (419 enodes) 1545729227.204 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545729227.204 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545729227.204 * * * * [misc]progress: [ 48 / 102 ] simplifiying candidate # 1545729227.204 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545729227.204 * * [misc]simplify: iters left: 6 (13 enodes) 1545729227.208 * * [misc]simplify: iters left: 5 (20 enodes) 1545729227.215 * * [misc]simplify: iters left: 4 (38 enodes) 1545729227.229 * * [misc]simplify: iters left: 3 (81 enodes) 1545729227.272 * * [misc]simplify: iters left: 2 (245 enodes) 1545729227.433 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) 1545729227.433 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)))) (sqrt k))) 1545729227.433 * * * * [misc]progress: [ 49 / 102 ] simplifiying candidate # 1545729227.434 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545729227.434 * * [misc]simplify: iters left: 6 (13 enodes) 1545729227.438 * * [misc]simplify: iters left: 5 (23 enodes) 1545729227.446 * * [misc]simplify: iters left: 4 (44 enodes) 1545729227.465 * * [misc]simplify: iters left: 3 (113 enodes) 1545729227.536 * * [misc]simplify: iters left: 2 (379 enodes) 1545729227.801 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1545729227.801 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) (sqrt k))) 1545729227.801 * * * * [misc]progress: [ 50 / 102 ] simplifiying candidate # 1545729227.801 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545729227.802 * * [misc]simplify: iters left: 6 (13 enodes) 1545729227.804 * * [misc]simplify: iters left: 5 (23 enodes) 1545729227.808 * * [misc]simplify: iters left: 4 (44 enodes) 1545729227.817 * * [misc]simplify: iters left: 3 (113 enodes) 1545729227.867 * * [misc]simplify: iters left: 2 (379 enodes) 1545729228.067 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1545729228.067 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) (sqrt k))) 1545729228.067 * * * * [misc]progress: [ 51 / 102 ] simplifiying candidate # 1545729228.067 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545729228.068 * * [misc]simplify: iters left: 6 (13 enodes) 1545729228.069 * * [misc]simplify: iters left: 5 (21 enodes) 1545729228.073 * * [misc]simplify: iters left: 4 (34 enodes) 1545729228.081 * * [misc]simplify: iters left: 3 (67 enodes) 1545729228.101 * * [misc]simplify: iters left: 2 (179 enodes) 1545729228.178 * [exit]simplify: Simplified to (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) 1545729228.178 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k))) 1545729228.178 * * * * [misc]progress: [ 52 / 102 ] simplifiying candidate # 1545729228.178 * * * * [misc]progress: [ 53 / 102 ] simplifiying candidate # 1545729228.178 * * * * [misc]progress: [ 54 / 102 ] simplifiying candidate # 1545729228.178 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545729228.178 * * [misc]simplify: iters left: 6 (15 enodes) 1545729228.181 * * [misc]simplify: iters left: 5 (25 enodes) 1545729228.185 * * [misc]simplify: iters left: 4 (53 enodes) 1545729228.194 * * [misc]simplify: iters left: 3 (88 enodes) 1545729228.217 * * [misc]simplify: iters left: 2 (122 enodes) 1545729228.252 * * [misc]simplify: iters left: 1 (129 enodes) 1545729228.271 * [exit]simplify: Simplified to (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3) 1545729228.271 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3)) (sqrt k))) 1545729228.271 * * * * [misc]progress: [ 55 / 102 ] simplifiying candidate # 1545729228.271 * * * * [misc]progress: [ 56 / 102 ] simplifiying candidate # 1545729228.271 * * * * [misc]progress: [ 57 / 102 ] simplifiying candidate # 1545729228.271 * * * * [misc]progress: [ 58 / 102 ] simplifiying candidate # 1545729228.271 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1545729228.271 * * [misc]simplify: iters left: 5 (8 enodes) 1545729228.273 * * [misc]simplify: iters left: 4 (12 enodes) 1545729228.274 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545729228.274 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2)))) (sqrt k))) 1545729228.274 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))) 1545729228.274 * * [misc]simplify: iters left: 5 (9 enodes) 1545729228.276 * * [misc]simplify: iters left: 4 (11 enodes) 1545729228.277 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))) 1545729228.277 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2)))) (sqrt k))) 1545729228.277 * * * * [misc]progress: [ 59 / 102 ] simplifiying candidate # 1545729228.277 * * * * [misc]progress: [ 60 / 102 ] simplifiying candidate # 1545729228.277 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545729228.277 * * [misc]simplify: iters left: 5 (7 enodes) 1545729228.279 * * [misc]simplify: iters left: 4 (10 enodes) 1545729228.280 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545729228.280 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1545729228.280 * * * * [misc]progress: [ 61 / 102 ] simplifiying candidate # 1545729228.280 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545729228.280 * * [misc]simplify: iters left: 5 (7 enodes) 1545729228.281 * * [misc]simplify: iters left: 4 (10 enodes) 1545729228.283 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545729228.283 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1545729228.283 * * * * [misc]progress: [ 62 / 102 ] simplifiying candidate # 1545729228.283 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545729228.283 * * [misc]simplify: iters left: 5 (6 enodes) 1545729228.284 * * [misc]simplify: iters left: 4 (8 enodes) 1545729228.285 * * [misc]simplify: iters left: 3 (11 enodes) 1545729228.286 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545729228.286 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k))) 1545729228.286 * * * * [misc]progress: [ 63 / 102 ] simplifiying candidate # 1545729228.287 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545729228.287 * * [misc]simplify: iters left: 6 (9 enodes) 1545729228.289 * * [misc]simplify: iters left: 5 (12 enodes) 1545729228.292 * * [misc]simplify: iters left: 4 (15 enodes) 1545729228.296 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545729228.296 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.297 * * * * [misc]progress: [ 64 / 102 ] simplifiying candidate # 1545729228.297 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545729228.297 * * [misc]simplify: iters left: 6 (9 enodes) 1545729228.300 * * [misc]simplify: iters left: 5 (12 enodes) 1545729228.303 * * [misc]simplify: iters left: 4 (15 enodes) 1545729228.307 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545729228.307 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.307 * * * * [misc]progress: [ 65 / 102 ] simplifiying candidate # 1545729228.308 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545729228.308 * * [misc]simplify: iters left: 5 (8 enodes) 1545729228.310 * * [misc]simplify: iters left: 4 (11 enodes) 1545729228.313 * * [misc]simplify: iters left: 3 (14 enodes) 1545729228.318 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545729228.318 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) 1) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729228.318 * * * * [misc]progress: [ 66 / 102 ] simplifiying candidate # 1545729228.318 * [enter]simplify: Simplifying (pow PI 1/2) 1545729228.318 * * [misc]simplify: iters left: 1 (3 enodes) 1545729228.319 * [exit]simplify: Simplified to (sqrt PI) 1545729228.319 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.319 * * * * [misc]progress: [ 67 / 102 ] simplifiying candidate # 1545729228.320 * [enter]simplify: Simplifying (pow PI 1/2) 1545729228.320 * * [misc]simplify: iters left: 1 (3 enodes) 1545729228.321 * [exit]simplify: Simplified to (sqrt PI) 1545729228.321 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.321 * * * * [misc]progress: [ 68 / 102 ] simplifiying candidate # 1545729228.321 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545729228.321 * * [misc]simplify: iters left: 6 (9 enodes) 1545729228.324 * * [misc]simplify: iters left: 5 (11 enodes) 1545729228.327 * * [misc]simplify: iters left: 4 (14 enodes) 1545729228.331 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545729228.331 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.331 * * * * [misc]progress: [ 69 / 102 ] simplifiying candidate # 1545729228.331 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545729228.331 * * [misc]simplify: iters left: 6 (8 enodes) 1545729228.334 * * [misc]simplify: iters left: 5 (10 enodes) 1545729228.336 * * [misc]simplify: iters left: 4 (13 enodes) 1545729228.340 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545729228.340 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.340 * * * * [misc]progress: [ 70 / 102 ] simplifiying candidate # 1545729228.340 * * * * [misc]progress: [ 71 / 102 ] simplifiying candidate # 1545729228.340 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545729228.340 * * [misc]simplify: iters left: 3 (6 enodes) 1545729228.342 * * [misc]simplify: iters left: 2 (7 enodes) 1545729228.344 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545729228.344 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))) 1545729228.344 * * * * [misc]progress: [ 72 / 102 ] simplifiying candidate # 1545729228.345 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729228.345 * * [misc]simplify: iters left: 6 (11 enodes) 1545729228.349 * * [misc]simplify: iters left: 5 (16 enodes) 1545729228.353 * * [misc]simplify: iters left: 4 (19 enodes) 1545729228.358 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729228.359 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) (sqrt k))) 1545729228.359 * * * * [misc]progress: [ 73 / 102 ] simplifiying candidate # 1545729228.359 * * * * [misc]progress: [ 74 / 102 ] simplifiying candidate # 1545729228.359 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545729228.359 * * [misc]simplify: iters left: 6 (9 enodes) 1545729228.363 * * [misc]simplify: iters left: 5 (16 enodes) 1545729228.369 * * [misc]simplify: iters left: 4 (32 enodes) 1545729228.376 * * [misc]simplify: iters left: 3 (68 enodes) 1545729228.392 * * [misc]simplify: iters left: 2 (171 enodes) 1545729228.431 * * [misc]simplify: iters left: 1 (342 enodes) 1545729228.539 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545729228.539 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.539 * * * * [misc]progress: [ 75 / 102 ] simplifiying candidate # 1545729228.539 * * * * [misc]progress: [ 76 / 102 ] simplifiying candidate # 1545729228.539 * [enter]simplify: Simplifying (* n 2) 1545729228.539 * * [misc]simplify: iters left: 2 (3 enodes) 1545729228.540 * * [misc]simplify: iters left: 1 (4 enodes) 1545729228.540 * [exit]simplify: Simplified to (* n 2) 1545729228.540 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.541 * * * * [misc]progress: [ 77 / 102 ] simplifiying candidate # 1545729228.541 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545729228.541 * * [misc]simplify: iters left: 3 (6 enodes) 1545729228.542 * * [misc]simplify: iters left: 2 (7 enodes) 1545729228.543 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545729228.543 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))) (sqrt k))) 1545729228.543 * * * * [misc]progress: [ 78 / 102 ] simplifiying candidate # 1545729228.543 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545729228.543 * * [misc]simplify: iters left: 5 (6 enodes) 1545729228.544 * * [misc]simplify: iters left: 4 (8 enodes) 1545729228.546 * * [misc]simplify: iters left: 3 (11 enodes) 1545729228.549 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545729228.549 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.550 * * * * [misc]progress: [ 79 / 102 ] simplifiying candidate # 1545729228.550 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545729228.550 * * [misc]simplify: iters left: 5 (6 enodes) 1545729228.552 * * [misc]simplify: iters left: 4 (8 enodes) 1545729228.554 * * [misc]simplify: iters left: 3 (11 enodes) 1545729228.557 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545729228.557 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.557 * * * * [misc]progress: [ 80 / 102 ] simplifiying candidate # 1545729228.558 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545729228.558 * * [misc]simplify: iters left: 4 (5 enodes) 1545729228.559 * * [misc]simplify: iters left: 3 (7 enodes) 1545729228.561 * * [misc]simplify: iters left: 2 (10 enodes) 1545729228.564 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545729228.564 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))) (sqrt k))) 1545729228.564 * * * * [misc]progress: [ 81 / 102 ] simplifiying candidate # 1545729228.564 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545729228.564 * * [misc]simplify: iters left: 5 (7 enodes) 1545729228.565 * * [misc]simplify: iters left: 4 (10 enodes) 1545729228.566 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545729228.566 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1545729228.566 * * * * [misc]progress: [ 82 / 102 ] simplifiying candidate # 1545729228.566 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545729228.567 * * [misc]simplify: iters left: 5 (7 enodes) 1545729228.568 * * [misc]simplify: iters left: 4 (10 enodes) 1545729228.569 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545729228.569 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1545729228.569 * * * * [misc]progress: [ 83 / 102 ] simplifiying candidate # 1545729228.569 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545729228.569 * * [misc]simplify: iters left: 5 (7 enodes) 1545729228.570 * * [misc]simplify: iters left: 4 (9 enodes) 1545729228.571 * * [misc]simplify: iters left: 3 (12 enodes) 1545729228.573 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545729228.573 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (sqrt k))) 1545729228.573 * * * * [misc]progress: [ 84 / 102 ] simplifiying candidate # 1545729228.573 * * * * [misc]progress: [ 85 / 102 ] simplifiying candidate # 1545729228.573 * * * * [misc]progress: [ 86 / 102 ] simplifiying candidate # 1545729228.573 * * * * [misc]progress: [ 87 / 102 ] simplifiying candidate # 1545729228.573 * * * * [misc]progress: [ 88 / 102 ] simplifiying candidate # 1545729228.573 * * * * [misc]progress: [ 89 / 102 ] simplifiying candidate # 1545729228.573 * * * * [misc]progress: [ 90 / 102 ] simplifiying candidate # 1545729228.573 * * * * [misc]progress: [ 91 / 102 ] simplifiying candidate # 1545729228.573 * [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)))) 1545729228.574 * * [misc]simplify: iters left: 6 (18 enodes) 1545729228.577 * * [misc]simplify: iters left: 5 (39 enodes) 1545729228.584 * * [misc]simplify: iters left: 4 (104 enodes) 1545729228.623 * * [misc]simplify: iters left: 3 (275 enodes) 1545729228.761 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1545729228.761 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729228.761 * * * * [misc]progress: [ 92 / 102 ] simplifiying candidate # 1545729228.762 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545729228.762 * * [misc]simplify: iters left: 5 (6 enodes) 1545729228.763 * * [misc]simplify: iters left: 4 (9 enodes) 1545729228.765 * * [misc]simplify: iters left: 3 (17 enodes) 1545729228.767 * * [misc]simplify: iters left: 2 (20 enodes) 1545729228.769 * * [misc]simplify: iters left: 1 (24 enodes) 1545729228.774 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545729228.774 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (* k 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729228.774 * * * * [misc]progress: [ 93 / 102 ] simplifiying candidate # 1545729228.775 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545729228.775 * * [misc]simplify: iters left: 5 (6 enodes) 1545729228.776 * * [misc]simplify: iters left: 4 (9 enodes) 1545729228.777 * * [misc]simplify: iters left: 3 (17 enodes) 1545729228.780 * * [misc]simplify: iters left: 2 (20 enodes) 1545729228.782 * * [misc]simplify: iters left: 1 (24 enodes) 1545729228.790 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545729228.790 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (* k 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545729228.790 * * * * [misc]progress: [ 94 / 102 ] simplifiying candidate # 1545729228.791 * [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))))))))))))))) 1545729228.791 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545729228.791 * * * * [misc]progress: [ 95 / 102 ] simplifiying candidate # 1545729228.791 * [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)))))))) 1545729228.791 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545729228.791 * * * * [misc]progress: [ 96 / 102 ] simplifiying candidate # 1545729228.791 * [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)))))))) 1545729228.791 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545729228.791 * * * * [misc]progress: [ 97 / 102 ] simplifiying candidate # 1545729228.792 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545729228.792 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1545729228.792 * * * * [misc]progress: [ 98 / 102 ] simplifiying candidate # 1545729228.792 * [enter]simplify: Simplifying (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545729228.792 * * [misc]simplify: iters left: 6 (16 enodes) 1545729228.801 * * [misc]simplify: iters left: 5 (31 enodes) 1545729228.809 * * [misc]simplify: iters left: 4 (57 enodes) 1545729228.819 * * [misc]simplify: iters left: 3 (120 enodes) 1545729228.851 * * [misc]simplify: iters left: 2 (374 enodes) 1545729229.141 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1545729229.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))) 1545729229.141 * * * * [misc]progress: [ 99 / 102 ] simplifiying candidate # 1545729229.141 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545729229.141 * * [misc]simplify: iters left: 6 (16 enodes) 1545729229.147 * * [misc]simplify: iters left: 5 (28 enodes) 1545729229.157 * * [misc]simplify: iters left: 4 (58 enodes) 1545729229.177 * * [misc]simplify: iters left: 3 (147 enodes) 1545729229.274 * [exit]simplify: Simplified to (* (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (pow PI (- 1/2 (* 1/2 k)))) 1545729229.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))) 1545729229.274 * * * * [misc]progress: [ 100 / 102 ] simplifiying candidate # 1545729229.274 * [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))))) 1545729229.275 * * [misc]simplify: iters left: 6 (35 enodes) 1545729229.289 * * [misc]simplify: iters left: 5 (99 enodes) 1545729229.330 * * [misc]simplify: iters left: 4 (298 enodes) 1545729229.502 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1545729229.502 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))) (sqrt k))) 1545729229.502 * * * * [misc]progress: [ 101 / 102 ] simplifiying candidate # 1545729229.502 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545729229.502 * * [misc]simplify: iters left: 6 (13 enodes) 1545729229.508 * * [misc]simplify: iters left: 5 (27 enodes) 1545729229.516 * * [misc]simplify: iters left: 4 (53 enodes) 1545729229.526 * * [misc]simplify: iters left: 3 (116 enodes) 1545729229.560 * * [misc]simplify: iters left: 2 (362 enodes) 1545729229.819 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1545729229.819 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (sqrt (* n 2)) (- 1 k))) (sqrt k))) 1545729229.819 * * * * [misc]progress: [ 102 / 102 ] simplifiying candidate # 1545729229.820 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545729229.820 * * [misc]simplify: iters left: 6 (13 enodes) 1545729229.822 * * [misc]simplify: iters left: 5 (24 enodes) 1545729229.831 * * [misc]simplify: iters left: 4 (54 enodes) 1545729229.852 * * [misc]simplify: iters left: 3 (143 enodes) 1545729229.952 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1545729229.952 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))) (sqrt k))) 1545729229.952 * * * [misc]progress: adding candidates to table 1545729231.472 * * [misc]progress: iteration 3 / 4 1545729231.472 * * * [misc]progress: picking best candidate 1545729231.540 * * * * [misc]pick: Picked # 1545729231.540 * * * [misc]progress: localizing error 1545729231.546 * * * [misc]progress: generating rewritten candidates 1545729231.546 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) 1545729231.547 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1545729231.556 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1545729231.562 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2) 1545729231.564 * * * [misc]progress: generating series expansions 1545729231.564 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) 1545729231.564 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545729231.564 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545729231.564 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729231.564 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729231.564 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729231.564 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.564 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.565 * [misc]taylor: Taking taylor expansion of k in k 1545729231.565 * [misc]backup-simplify: Simplify 0 into 0 1545729231.565 * [misc]backup-simplify: Simplify 1 into 1 1545729231.565 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.565 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.565 * [misc]backup-simplify: Simplify PI into PI 1545729231.565 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.565 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.565 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.566 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.566 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.566 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729231.566 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729231.566 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729231.566 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729231.566 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.566 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.566 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.566 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.566 * [misc]taylor: Taking taylor expansion of k in k 1545729231.566 * [misc]backup-simplify: Simplify 0 into 0 1545729231.566 * [misc]backup-simplify: Simplify 1 into 1 1545729231.567 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.567 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.567 * [misc]backup-simplify: Simplify PI into PI 1545729231.567 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.567 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.567 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.567 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.567 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.568 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729231.568 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545729231.569 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729231.570 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729231.570 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.570 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.570 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545729231.572 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545729231.573 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545729231.575 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729231.576 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729231.576 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.577 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545729231.581 * [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))) 1545729231.582 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545729231.585 * [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)))) 1545729231.585 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.585 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545729231.585 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.585 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729231.585 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729231.585 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.585 * [misc]taylor: Taking taylor expansion of k in k 1545729231.585 * [misc]backup-simplify: Simplify 0 into 0 1545729231.585 * [misc]backup-simplify: Simplify 1 into 1 1545729231.585 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.585 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.585 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.585 * [misc]backup-simplify: Simplify PI into PI 1545729231.586 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.586 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.586 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.586 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.587 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729231.587 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.587 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.587 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729231.587 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729231.587 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.587 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.587 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.587 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.587 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.587 * [misc]taylor: Taking taylor expansion of k in k 1545729231.587 * [misc]backup-simplify: Simplify 0 into 0 1545729231.587 * [misc]backup-simplify: Simplify 1 into 1 1545729231.587 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.587 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.587 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.587 * [misc]backup-simplify: Simplify PI into PI 1545729231.588 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.588 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.588 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.588 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.588 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729231.588 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.589 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.589 * [misc]backup-simplify: Simplify 0 into 0 1545729231.589 * [misc]backup-simplify: Simplify 0 into 0 1545729231.589 * [misc]backup-simplify: Simplify 0 into 0 1545729231.589 * [misc]backup-simplify: Simplify 0 into 0 1545729231.589 * [misc]backup-simplify: Simplify 0 into 0 1545729231.589 * [misc]backup-simplify: Simplify 0 into 0 1545729231.589 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545729231.589 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.589 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545729231.589 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.589 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729231.589 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729231.589 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.589 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.589 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.589 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.589 * [misc]taylor: Taking taylor expansion of k in k 1545729231.589 * [misc]backup-simplify: Simplify 0 into 0 1545729231.589 * [misc]backup-simplify: Simplify 1 into 1 1545729231.589 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.589 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.589 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.589 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.589 * [misc]backup-simplify: Simplify PI into PI 1545729231.590 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.590 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.590 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.590 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.590 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.590 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.591 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729231.591 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729231.591 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.591 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.591 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.591 * [misc]taylor: Taking taylor expansion of k in k 1545729231.591 * [misc]backup-simplify: Simplify 0 into 0 1545729231.591 * [misc]backup-simplify: Simplify 1 into 1 1545729231.591 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.591 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.591 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.591 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.591 * [misc]backup-simplify: Simplify PI into PI 1545729231.591 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.591 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.591 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.592 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.592 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.592 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.592 * [misc]backup-simplify: Simplify 0 into 0 1545729231.592 * [misc]backup-simplify: Simplify 0 into 0 1545729231.592 * [misc]backup-simplify: Simplify 0 into 0 1545729231.592 * [misc]backup-simplify: Simplify 0 into 0 1545729231.592 * [misc]backup-simplify: Simplify 0 into 0 1545729231.592 * [misc]backup-simplify: Simplify 0 into 0 1545729231.592 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545729231.592 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1545729231.592 * [misc]backup-simplify: Simplify (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) 1545729231.592 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in (k n) around 0 1545729231.592 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.593 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.593 * [misc]taylor: Taking taylor expansion of k in n 1545729231.593 * [misc]backup-simplify: Simplify k into k 1545729231.593 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729231.593 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.593 * [misc]backup-simplify: Simplify 2 into 2 1545729231.593 * [misc]taylor: Taking taylor expansion of n in n 1545729231.593 * [misc]backup-simplify: Simplify 0 into 0 1545729231.593 * [misc]backup-simplify: Simplify 1 into 1 1545729231.593 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729231.593 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729231.593 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.593 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729231.593 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729231.593 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729231.594 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.594 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545729231.594 * [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)))) 1545729231.594 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545729231.594 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545729231.594 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545729231.594 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729231.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.594 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729231.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.594 * [misc]taylor: Taking taylor expansion of k in n 1545729231.594 * [misc]backup-simplify: Simplify k into k 1545729231.594 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.594 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.594 * [misc]backup-simplify: Simplify PI into PI 1545729231.595 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.595 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729231.595 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729231.595 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729231.595 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545729231.595 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545729231.595 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545729231.596 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) into (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545729231.596 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545729231.596 * [misc]taylor: Taking taylor expansion of k in n 1545729231.596 * [misc]backup-simplify: Simplify k into k 1545729231.596 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545729231.596 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545729231.596 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.596 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.596 * [misc]taylor: Taking taylor expansion of k in k 1545729231.596 * [misc]backup-simplify: Simplify 0 into 0 1545729231.596 * [misc]backup-simplify: Simplify 1 into 1 1545729231.596 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729231.596 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.596 * [misc]backup-simplify: Simplify 2 into 2 1545729231.596 * [misc]taylor: Taking taylor expansion of n in k 1545729231.596 * [misc]backup-simplify: Simplify n into n 1545729231.596 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729231.596 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729231.596 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.596 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.597 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.597 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729231.597 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729231.597 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729231.597 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729231.597 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729231.597 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.597 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.597 * [misc]taylor: Taking taylor expansion of k in k 1545729231.597 * [misc]backup-simplify: Simplify 0 into 0 1545729231.597 * [misc]backup-simplify: Simplify 1 into 1 1545729231.597 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.597 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.597 * [misc]backup-simplify: Simplify PI into PI 1545729231.597 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.597 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.597 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.597 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.598 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.598 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729231.598 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545729231.598 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1545729231.598 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of k in k 1545729231.599 * [misc]backup-simplify: Simplify 0 into 0 1545729231.599 * [misc]backup-simplify: Simplify 1 into 1 1545729231.599 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.599 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729231.599 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.599 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.599 * [misc]taylor: Taking taylor expansion of k in k 1545729231.599 * [misc]backup-simplify: Simplify 0 into 0 1545729231.599 * [misc]backup-simplify: Simplify 1 into 1 1545729231.599 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729231.599 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.599 * [misc]backup-simplify: Simplify 2 into 2 1545729231.599 * [misc]taylor: Taking taylor expansion of n in k 1545729231.599 * [misc]backup-simplify: Simplify n into n 1545729231.599 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729231.599 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729231.599 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.600 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.600 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.600 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729231.600 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729231.600 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729231.600 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729231.600 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729231.600 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.600 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.600 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.600 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.600 * [misc]taylor: Taking taylor expansion of k in k 1545729231.600 * [misc]backup-simplify: Simplify 0 into 0 1545729231.600 * [misc]backup-simplify: Simplify 1 into 1 1545729231.600 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.600 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.600 * [misc]backup-simplify: Simplify PI into PI 1545729231.600 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.600 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.600 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.601 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.601 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.601 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729231.601 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545729231.602 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1545729231.602 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545729231.602 * [misc]taylor: Taking taylor expansion of k in k 1545729231.602 * [misc]backup-simplify: Simplify 0 into 0 1545729231.602 * [misc]backup-simplify: Simplify 1 into 1 1545729231.602 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.602 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729231.602 * [misc]backup-simplify: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 0) into 0 1545729231.602 * [misc]taylor: Taking taylor expansion of 0 in n 1545729231.602 * [misc]backup-simplify: Simplify 0 into 0 1545729231.602 * [misc]backup-simplify: Simplify 0 into 0 1545729231.604 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729231.604 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729231.604 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.604 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.605 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545729231.607 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545729231.607 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545729231.607 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545729231.607 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729231.608 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.608 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.608 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545729231.608 * [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)))) 1545729231.609 * [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)))))) 1545729231.611 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 1545729231.612 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1545729231.612 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1545729231.612 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545729231.612 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.612 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.612 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545729231.612 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1545729231.612 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729231.612 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.612 * [misc]backup-simplify: Simplify 2 into 2 1545729231.612 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729231.613 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729231.613 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1545729231.613 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545729231.613 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545729231.613 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729231.613 * [misc]taylor: Taking taylor expansion of n in n 1545729231.613 * [misc]backup-simplify: Simplify 0 into 0 1545729231.613 * [misc]backup-simplify: Simplify 1 into 1 1545729231.613 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.613 * [misc]backup-simplify: Simplify PI into PI 1545729231.613 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729231.614 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729231.614 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545729231.614 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.614 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545729231.615 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545729231.615 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545729231.616 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1545729231.617 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545729231.618 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545729231.619 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545729231.619 * [misc]backup-simplify: Simplify 0 into 0 1545729231.620 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545729231.624 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729231.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729231.624 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.624 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545729231.630 * [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))) 1545729231.630 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545729231.632 * [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 1545729231.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729231.632 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545729231.633 * [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))) 1545729231.635 * [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))))))) 1545729231.639 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (+ (* 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))))))) (sqrt (* PI (* n 2))))) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1545729231.643 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) +nan.0) (* (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) 1545729231.643 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) in n 1545729231.643 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))))) in n 1545729231.643 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1545729231.643 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.643 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.643 * [misc]taylor: Taking taylor expansion of (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1545729231.643 * [misc]taylor: Taking taylor expansion of (/ (log PI) (sqrt 2)) in n 1545729231.643 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.643 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.643 * [misc]backup-simplify: Simplify PI into PI 1545729231.644 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.644 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729231.644 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.644 * [misc]backup-simplify: Simplify 2 into 2 1545729231.644 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729231.644 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729231.644 * [misc]backup-simplify: Simplify (/ (log PI) (sqrt 2)) into (/ (log PI) (sqrt 2)) 1545729231.644 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1545729231.644 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1545729231.644 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729231.644 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.644 * [misc]backup-simplify: Simplify PI into PI 1545729231.644 * [misc]taylor: Taking taylor expansion of n in n 1545729231.644 * [misc]backup-simplify: Simplify 0 into 0 1545729231.644 * [misc]backup-simplify: Simplify 1 into 1 1545729231.645 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729231.645 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729231.645 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545729231.645 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.646 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545729231.646 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))) in n 1545729231.646 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))) in n 1545729231.646 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545729231.646 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.646 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.646 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545729231.646 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1545729231.646 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729231.646 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.646 * [misc]backup-simplify: Simplify 2 into 2 1545729231.646 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729231.646 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729231.646 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1545729231.646 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545729231.646 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545729231.646 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545729231.646 * [misc]taylor: Taking taylor expansion of n in n 1545729231.646 * [misc]backup-simplify: Simplify 0 into 0 1545729231.646 * [misc]backup-simplify: Simplify 1 into 1 1545729231.646 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.646 * [misc]backup-simplify: Simplify PI into PI 1545729231.647 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545729231.647 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545729231.647 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545729231.647 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.648 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545729231.648 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) in n 1545729231.648 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1545729231.648 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.648 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.648 * [misc]taylor: Taking taylor expansion of (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1545729231.648 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (sqrt 2)) in n 1545729231.648 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729231.648 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729231.648 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.648 * [misc]backup-simplify: Simplify 2 into 2 1545729231.648 * [misc]taylor: Taking taylor expansion of n in n 1545729231.648 * [misc]backup-simplify: Simplify 0 into 0 1545729231.648 * [misc]backup-simplify: Simplify 1 into 1 1545729231.648 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729231.648 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729231.648 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.648 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729231.648 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.648 * [misc]backup-simplify: Simplify 2 into 2 1545729231.648 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729231.648 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729231.649 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.649 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.649 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1545729231.649 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1545729231.649 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1545729231.649 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729231.649 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.649 * [misc]backup-simplify: Simplify PI into PI 1545729231.649 * [misc]taylor: Taking taylor expansion of n in n 1545729231.649 * [misc]backup-simplify: Simplify 0 into 0 1545729231.649 * [misc]backup-simplify: Simplify 1 into 1 1545729231.649 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729231.650 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729231.650 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545729231.650 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.651 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545729231.652 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729231.653 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log PI) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545729231.654 * [misc]backup-simplify: Simplify (+ (* (/ (log PI) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1545729231.655 * [misc]backup-simplify: Simplify (* (/ (log PI) (sqrt 2)) 0) into 0 1545729231.656 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1545729231.656 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545729231.657 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545729231.657 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1545729231.659 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545729231.659 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545729231.664 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729231.665 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545729231.665 * [misc]backup-simplify: Simplify (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545729231.666 * [misc]backup-simplify: Simplify (* (/ (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545729231.668 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545729231.670 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545729231.673 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1545729231.676 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1545729231.681 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545729231.685 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545729231.690 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545729231.691 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545729231.692 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1545729231.694 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1545729231.695 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545729231.696 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1545729231.698 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545729231.703 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545729231.706 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545729231.707 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545729231.715 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* 1 k)))) into (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1545729231.716 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) 1545729231.716 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in (k n) around 0 1545729231.716 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in n 1545729231.716 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545729231.716 * [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 1545729231.716 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.716 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729231.716 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729231.716 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.716 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.716 * [misc]taylor: Taking taylor expansion of k in n 1545729231.716 * [misc]backup-simplify: Simplify k into k 1545729231.717 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.717 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.717 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.717 * [misc]backup-simplify: Simplify PI into PI 1545729231.717 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.717 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.717 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.717 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.718 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729231.718 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.718 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.718 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729231.718 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729231.718 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.718 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.718 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.718 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.718 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.718 * [misc]taylor: Taking taylor expansion of k in n 1545729231.718 * [misc]backup-simplify: Simplify k into k 1545729231.718 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.718 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729231.718 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729231.719 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.719 * [misc]backup-simplify: Simplify 2 into 2 1545729231.719 * [misc]taylor: Taking taylor expansion of n in n 1545729231.719 * [misc]backup-simplify: Simplify 0 into 0 1545729231.719 * [misc]backup-simplify: Simplify 1 into 1 1545729231.719 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729231.719 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.719 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.719 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.719 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.720 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.720 * [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))) 1545729231.720 * [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)))) 1545729231.721 * [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))))) 1545729231.721 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545729231.721 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545729231.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.721 * [misc]taylor: Taking taylor expansion of k in n 1545729231.721 * [misc]backup-simplify: Simplify k into k 1545729231.721 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.721 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545729231.721 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729231.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545729231.722 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1545729231.722 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545729231.722 * [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 1545729231.722 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729231.722 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729231.722 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.722 * [misc]taylor: Taking taylor expansion of k in k 1545729231.722 * [misc]backup-simplify: Simplify 0 into 0 1545729231.722 * [misc]backup-simplify: Simplify 1 into 1 1545729231.722 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.722 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.722 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.722 * [misc]backup-simplify: Simplify PI into PI 1545729231.723 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.723 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.723 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.723 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.724 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729231.724 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.724 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.724 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729231.724 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729231.724 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.724 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.725 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.725 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.725 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.725 * [misc]taylor: Taking taylor expansion of k in k 1545729231.725 * [misc]backup-simplify: Simplify 0 into 0 1545729231.725 * [misc]backup-simplify: Simplify 1 into 1 1545729231.725 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.725 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729231.725 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729231.725 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.725 * [misc]backup-simplify: Simplify 2 into 2 1545729231.725 * [misc]taylor: Taking taylor expansion of n in k 1545729231.725 * [misc]backup-simplify: Simplify n into n 1545729231.725 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729231.725 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729231.725 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.725 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.726 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.726 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729231.726 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.726 * [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))))) 1545729231.726 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1545729231.726 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545729231.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.727 * [misc]taylor: Taking taylor expansion of k in k 1545729231.727 * [misc]backup-simplify: Simplify 0 into 0 1545729231.727 * [misc]backup-simplify: Simplify 1 into 1 1545729231.727 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.727 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.727 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729231.727 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1545729231.727 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545729231.727 * [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 1545729231.727 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.728 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729231.728 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729231.728 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.728 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.728 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.728 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.728 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.728 * [misc]taylor: Taking taylor expansion of k in k 1545729231.728 * [misc]backup-simplify: Simplify 0 into 0 1545729231.728 * [misc]backup-simplify: Simplify 1 into 1 1545729231.728 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.728 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.728 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.728 * [misc]backup-simplify: Simplify PI into PI 1545729231.728 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.728 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.729 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.729 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.729 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729231.730 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.730 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.730 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729231.730 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729231.730 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.730 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.730 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.730 * [misc]taylor: Taking taylor expansion of k in k 1545729231.730 * [misc]backup-simplify: Simplify 0 into 0 1545729231.730 * [misc]backup-simplify: Simplify 1 into 1 1545729231.730 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.730 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729231.730 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729231.730 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.730 * [misc]backup-simplify: Simplify 2 into 2 1545729231.730 * [misc]taylor: Taking taylor expansion of n in k 1545729231.730 * [misc]backup-simplify: Simplify n into n 1545729231.730 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729231.730 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729231.731 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.731 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.731 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.731 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729231.731 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.731 * [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))))) 1545729231.732 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1545729231.732 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545729231.732 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.732 * [misc]taylor: Taking taylor expansion of k in k 1545729231.732 * [misc]backup-simplify: Simplify 0 into 0 1545729231.732 * [misc]backup-simplify: Simplify 1 into 1 1545729231.732 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.732 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.733 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545729231.733 * [misc]backup-simplify: Simplify (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1545729231.733 * [misc]taylor: Taking taylor expansion of 0 in n 1545729231.733 * [misc]backup-simplify: Simplify 0 into 0 1545729231.733 * [misc]backup-simplify: Simplify 0 into 0 1545729231.733 * [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 1545729231.734 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545729231.734 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545729231.734 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545729231.735 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545729231.735 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.735 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.735 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545729231.735 * [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 1545729231.735 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.735 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729231.735 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729231.735 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.735 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.735 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.735 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.735 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.735 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.735 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.735 * [misc]taylor: Taking taylor expansion of k in n 1545729231.735 * [misc]backup-simplify: Simplify k into k 1545729231.735 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.735 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.735 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.735 * [misc]backup-simplify: Simplify PI into PI 1545729231.735 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.736 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.736 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.736 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.736 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729231.736 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.736 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.737 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729231.737 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729231.737 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.737 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.737 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.737 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.737 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.737 * [misc]taylor: Taking taylor expansion of k in n 1545729231.737 * [misc]backup-simplify: Simplify k into k 1545729231.737 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.737 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729231.737 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729231.737 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.737 * [misc]backup-simplify: Simplify 2 into 2 1545729231.737 * [misc]taylor: Taking taylor expansion of n in n 1545729231.737 * [misc]backup-simplify: Simplify 0 into 0 1545729231.737 * [misc]backup-simplify: Simplify 1 into 1 1545729231.737 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729231.737 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.737 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.738 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.738 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.738 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.738 * [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))) 1545729231.739 * [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)))) 1545729231.739 * [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))))) 1545729231.740 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545729231.740 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1545729231.741 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545729231.741 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545729231.741 * [misc]backup-simplify: Simplify 0 into 0 1545729231.741 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729231.743 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545729231.743 * [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 1545729231.744 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545729231.745 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545729231.745 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545729231.745 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545729231.745 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.745 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.745 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545729231.745 * [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 1545729231.745 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.745 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729231.745 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729231.745 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.745 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.745 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.745 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.745 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.745 * [misc]taylor: Taking taylor expansion of k in n 1545729231.745 * [misc]backup-simplify: Simplify k into k 1545729231.745 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.745 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.745 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.745 * [misc]backup-simplify: Simplify PI into PI 1545729231.746 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.746 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.746 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.746 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.746 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729231.747 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.747 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.747 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729231.747 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729231.747 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.747 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.747 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.747 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.747 * [misc]taylor: Taking taylor expansion of k in n 1545729231.747 * [misc]backup-simplify: Simplify k into k 1545729231.747 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.747 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729231.747 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729231.747 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.747 * [misc]backup-simplify: Simplify 2 into 2 1545729231.747 * [misc]taylor: Taking taylor expansion of n in n 1545729231.747 * [misc]backup-simplify: Simplify 0 into 0 1545729231.747 * [misc]backup-simplify: Simplify 1 into 1 1545729231.747 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729231.748 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.748 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.748 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.748 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.749 * [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))) 1545729231.749 * [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)))) 1545729231.749 * [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))))) 1545729231.750 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545729231.750 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1545729231.751 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545729231.751 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545729231.752 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545729231.754 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729231.754 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729231.754 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729231.755 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.755 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.755 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545729231.757 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729231.759 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729231.759 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729231.759 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729231.759 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.760 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.760 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545729231.761 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729231.762 * [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 1545729231.763 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0 1545729231.764 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545729231.764 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.764 * [misc]backup-simplify: Simplify 0 into 0 1545729231.764 * [misc]backup-simplify: Simplify 0 into 0 1545729231.764 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729231.765 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545729231.766 * [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 1545729231.767 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545729231.768 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545729231.768 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545729231.768 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545729231.768 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.768 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.768 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545729231.768 * [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 1545729231.768 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.768 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729231.768 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729231.768 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.768 * [misc]taylor: Taking taylor expansion of k in n 1545729231.768 * [misc]backup-simplify: Simplify k into k 1545729231.768 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.769 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.769 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.769 * [misc]backup-simplify: Simplify PI into PI 1545729231.769 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.769 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.769 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.769 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.770 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729231.770 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.770 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.770 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729231.770 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729231.770 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.770 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.770 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.770 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.770 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.770 * [misc]taylor: Taking taylor expansion of k in n 1545729231.770 * [misc]backup-simplify: Simplify k into k 1545729231.770 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.770 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729231.770 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729231.770 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.770 * [misc]backup-simplify: Simplify 2 into 2 1545729231.770 * [misc]taylor: Taking taylor expansion of n in n 1545729231.770 * [misc]backup-simplify: Simplify 0 into 0 1545729231.771 * [misc]backup-simplify: Simplify 1 into 1 1545729231.771 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729231.771 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.771 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.771 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.771 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.772 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.772 * [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))) 1545729231.772 * [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)))) 1545729231.773 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545729231.773 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545729231.774 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1545729231.774 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545729231.775 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545729231.777 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (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 (/ 1 (* (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))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1545729231.778 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545729231.778 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in (k n) around 0 1545729231.778 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545729231.778 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545729231.778 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545729231.778 * [misc]taylor: Taking taylor expansion of -1 in n 1545729231.778 * [misc]backup-simplify: Simplify -1 into -1 1545729231.778 * [misc]taylor: Taking taylor expansion of k in n 1545729231.778 * [misc]backup-simplify: Simplify k into k 1545729231.778 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545729231.778 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545729231.778 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545729231.778 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545729231.778 * [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 1545729231.779 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.779 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729231.779 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729231.779 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.779 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.779 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.779 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.779 * [misc]taylor: Taking taylor expansion of k in n 1545729231.779 * [misc]backup-simplify: Simplify k into k 1545729231.779 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.779 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.779 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729231.779 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729231.779 * [misc]taylor: Taking taylor expansion of -2 in n 1545729231.779 * [misc]backup-simplify: Simplify -2 into -2 1545729231.779 * [misc]taylor: Taking taylor expansion of n in n 1545729231.779 * [misc]backup-simplify: Simplify 0 into 0 1545729231.779 * [misc]backup-simplify: Simplify 1 into 1 1545729231.779 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729231.779 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729231.780 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.780 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.780 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729231.780 * [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))) 1545729231.781 * [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)))) 1545729231.781 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.781 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729231.781 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729231.781 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.781 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.781 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.781 * [misc]taylor: Taking taylor expansion of k in n 1545729231.781 * [misc]backup-simplify: Simplify k into k 1545729231.781 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.781 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.781 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.781 * [misc]backup-simplify: Simplify PI into PI 1545729231.782 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.782 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.782 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.782 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729231.783 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.783 * [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))) 1545729231.783 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545729231.783 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545729231.783 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545729231.783 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545729231.783 * [misc]taylor: Taking taylor expansion of -1 in k 1545729231.783 * [misc]backup-simplify: Simplify -1 into -1 1545729231.783 * [misc]taylor: Taking taylor expansion of k in k 1545729231.783 * [misc]backup-simplify: Simplify 0 into 0 1545729231.784 * [misc]backup-simplify: Simplify 1 into 1 1545729231.784 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545729231.784 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.784 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545729231.784 * [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 1545729231.784 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.784 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729231.784 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729231.784 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.784 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.784 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.784 * [misc]taylor: Taking taylor expansion of k in k 1545729231.784 * [misc]backup-simplify: Simplify 0 into 0 1545729231.784 * [misc]backup-simplify: Simplify 1 into 1 1545729231.784 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.784 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729231.784 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729231.784 * [misc]taylor: Taking taylor expansion of -2 in k 1545729231.784 * [misc]backup-simplify: Simplify -2 into -2 1545729231.784 * [misc]taylor: Taking taylor expansion of n in k 1545729231.784 * [misc]backup-simplify: Simplify n into n 1545729231.785 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729231.785 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729231.785 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.785 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.785 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729231.785 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.785 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.785 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729231.785 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729231.785 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.785 * [misc]taylor: Taking taylor expansion of k in k 1545729231.785 * [misc]backup-simplify: Simplify 0 into 0 1545729231.785 * [misc]backup-simplify: Simplify 1 into 1 1545729231.785 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.785 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.785 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.785 * [misc]backup-simplify: Simplify PI into PI 1545729231.785 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.786 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.786 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.786 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.786 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.786 * [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))) 1545729231.787 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545729231.787 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545729231.787 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545729231.787 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545729231.787 * [misc]taylor: Taking taylor expansion of -1 in k 1545729231.787 * [misc]backup-simplify: Simplify -1 into -1 1545729231.787 * [misc]taylor: Taking taylor expansion of k in k 1545729231.787 * [misc]backup-simplify: Simplify 0 into 0 1545729231.787 * [misc]backup-simplify: Simplify 1 into 1 1545729231.787 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545729231.787 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.787 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545729231.787 * [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 1545729231.787 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.787 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729231.787 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729231.787 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.787 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.787 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.787 * [misc]taylor: Taking taylor expansion of k in k 1545729231.787 * [misc]backup-simplify: Simplify 0 into 0 1545729231.787 * [misc]backup-simplify: Simplify 1 into 1 1545729231.788 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.788 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729231.788 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729231.788 * [misc]taylor: Taking taylor expansion of -2 in k 1545729231.788 * [misc]backup-simplify: Simplify -2 into -2 1545729231.788 * [misc]taylor: Taking taylor expansion of n in k 1545729231.788 * [misc]backup-simplify: Simplify n into n 1545729231.788 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729231.788 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729231.788 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.788 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.788 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729231.788 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.788 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.788 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729231.788 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729231.788 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.788 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.788 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.788 * [misc]taylor: Taking taylor expansion of k in k 1545729231.788 * [misc]backup-simplify: Simplify 0 into 0 1545729231.788 * [misc]backup-simplify: Simplify 1 into 1 1545729231.788 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.789 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.789 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.789 * [misc]backup-simplify: Simplify PI into PI 1545729231.789 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.789 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.789 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.789 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.790 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.790 * [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))) 1545729231.790 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545729231.790 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545729231.790 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.790 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.790 * [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 1545729231.790 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.790 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729231.790 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729231.790 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.790 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.790 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.790 * [misc]taylor: Taking taylor expansion of k in n 1545729231.791 * [misc]backup-simplify: Simplify k into k 1545729231.791 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.791 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729231.791 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729231.791 * [misc]taylor: Taking taylor expansion of -2 in n 1545729231.791 * [misc]backup-simplify: Simplify -2 into -2 1545729231.791 * [misc]taylor: Taking taylor expansion of n in n 1545729231.791 * [misc]backup-simplify: Simplify 0 into 0 1545729231.791 * [misc]backup-simplify: Simplify 1 into 1 1545729231.791 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729231.791 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729231.791 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.791 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.791 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729231.791 * [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))) 1545729231.792 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545729231.792 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.792 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729231.792 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729231.792 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.792 * [misc]taylor: Taking taylor expansion of k in n 1545729231.792 * [misc]backup-simplify: Simplify k into k 1545729231.792 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.792 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.792 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.792 * [misc]backup-simplify: Simplify PI into PI 1545729231.792 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.792 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.792 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.792 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729231.793 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.793 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545729231.793 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545729231.794 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545729231.794 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545729231.794 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545729231.795 * [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 1545729231.795 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545729231.795 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.795 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.795 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545729231.795 * [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 1545729231.795 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.795 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of k in n 1545729231.795 * [misc]backup-simplify: Simplify k into k 1545729231.795 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.795 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.795 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729231.795 * [misc]taylor: Taking taylor expansion of -2 in n 1545729231.796 * [misc]backup-simplify: Simplify -2 into -2 1545729231.796 * [misc]taylor: Taking taylor expansion of n in n 1545729231.796 * [misc]backup-simplify: Simplify 0 into 0 1545729231.796 * [misc]backup-simplify: Simplify 1 into 1 1545729231.796 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729231.796 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729231.796 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.796 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.796 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729231.796 * [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))) 1545729231.796 * [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)))) 1545729231.797 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.797 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729231.797 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729231.797 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.797 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.797 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.797 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.797 * [misc]taylor: Taking taylor expansion of k in n 1545729231.797 * [misc]backup-simplify: Simplify k into k 1545729231.797 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.797 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.797 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.797 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.797 * [misc]backup-simplify: Simplify PI into PI 1545729231.797 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.797 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.797 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.797 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729231.798 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.798 * [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))) 1545729231.798 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545729231.798 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))) 1545729231.799 * [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 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545729231.799 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545729231.800 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729231.801 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729231.801 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729231.801 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.801 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545729231.802 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729231.802 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545729231.803 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545729231.804 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729231.804 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729231.804 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.804 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729231.804 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545729231.805 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729231.805 * [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 1545729231.806 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1545729231.806 * [misc]backup-simplify: Simplify 0 into 0 1545729231.806 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729231.808 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545729231.808 * [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 1545729231.809 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545729231.809 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545729231.809 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545729231.809 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545729231.809 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545729231.809 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545729231.809 * [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 1545729231.809 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.809 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729231.809 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729231.809 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.809 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.809 * [misc]taylor: Taking taylor expansion of k in n 1545729231.809 * [misc]backup-simplify: Simplify k into k 1545729231.809 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.810 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729231.810 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729231.810 * [misc]taylor: Taking taylor expansion of -2 in n 1545729231.810 * [misc]backup-simplify: Simplify -2 into -2 1545729231.810 * [misc]taylor: Taking taylor expansion of n in n 1545729231.810 * [misc]backup-simplify: Simplify 0 into 0 1545729231.810 * [misc]backup-simplify: Simplify 1 into 1 1545729231.810 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729231.810 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729231.810 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.810 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729231.810 * [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))) 1545729231.811 * [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)))) 1545729231.811 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.811 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729231.811 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729231.811 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.811 * [misc]taylor: Taking taylor expansion of k in n 1545729231.811 * [misc]backup-simplify: Simplify k into k 1545729231.811 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.811 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.811 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.811 * [misc]backup-simplify: Simplify PI into PI 1545729231.811 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.811 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.811 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.811 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729231.812 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.812 * [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))) 1545729231.812 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545729231.812 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))) 1545729231.813 * [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 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545729231.813 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545729231.814 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (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 (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (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))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1545729231.815 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1545729231.815 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1545729231.815 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in (k n) around 0 1545729231.815 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545729231.815 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545729231.815 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545729231.815 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545729231.815 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729231.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.815 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729231.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.815 * [misc]taylor: Taking taylor expansion of k in n 1545729231.815 * [misc]backup-simplify: Simplify k into k 1545729231.815 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729231.815 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729231.815 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.815 * [misc]backup-simplify: Simplify 2 into 2 1545729231.815 * [misc]taylor: Taking taylor expansion of n in n 1545729231.815 * [misc]backup-simplify: Simplify 0 into 0 1545729231.815 * [misc]backup-simplify: Simplify 1 into 1 1545729231.815 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729231.815 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729231.815 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.815 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729231.815 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729231.816 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729231.816 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.816 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545729231.816 * [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)))) 1545729231.816 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545729231.816 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545729231.816 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545729231.816 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729231.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.816 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729231.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.816 * [misc]taylor: Taking taylor expansion of k in n 1545729231.816 * [misc]backup-simplify: Simplify k into k 1545729231.816 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.816 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.816 * [misc]backup-simplify: Simplify PI into PI 1545729231.817 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.817 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729231.817 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729231.817 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729231.817 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545729231.817 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545729231.817 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545729231.817 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729231.817 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729231.817 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729231.817 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.817 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.817 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.817 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.817 * [misc]taylor: Taking taylor expansion of k in k 1545729231.817 * [misc]backup-simplify: Simplify 0 into 0 1545729231.817 * [misc]backup-simplify: Simplify 1 into 1 1545729231.817 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729231.817 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729231.817 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.817 * [misc]backup-simplify: Simplify 2 into 2 1545729231.817 * [misc]taylor: Taking taylor expansion of n in k 1545729231.818 * [misc]backup-simplify: Simplify n into n 1545729231.818 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729231.818 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729231.818 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.818 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.818 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.818 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729231.818 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729231.818 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729231.818 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729231.818 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729231.818 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.818 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.818 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.818 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.818 * [misc]taylor: Taking taylor expansion of k in k 1545729231.818 * [misc]backup-simplify: Simplify 0 into 0 1545729231.818 * [misc]backup-simplify: Simplify 1 into 1 1545729231.818 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.818 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.818 * [misc]backup-simplify: Simplify PI into PI 1545729231.818 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.819 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.819 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.819 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.819 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.819 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729231.819 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545729231.819 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.820 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.820 * [misc]taylor: Taking taylor expansion of k in k 1545729231.820 * [misc]backup-simplify: Simplify 0 into 0 1545729231.820 * [misc]backup-simplify: Simplify 1 into 1 1545729231.820 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.820 * [misc]backup-simplify: Simplify 2 into 2 1545729231.820 * [misc]taylor: Taking taylor expansion of n in k 1545729231.820 * [misc]backup-simplify: Simplify n into n 1545729231.820 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729231.820 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729231.820 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.820 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.820 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.820 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729231.820 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729231.820 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.820 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.820 * [misc]taylor: Taking taylor expansion of k in k 1545729231.820 * [misc]backup-simplify: Simplify 0 into 0 1545729231.820 * [misc]backup-simplify: Simplify 1 into 1 1545729231.820 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.820 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.820 * [misc]backup-simplify: Simplify PI into PI 1545729231.821 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.821 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.821 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.821 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.821 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.822 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545729231.822 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545729231.822 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1545729231.822 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1545729231.822 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.822 * [misc]backup-simplify: Simplify PI into PI 1545729231.822 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1545729231.822 * [misc]taylor: Taking taylor expansion of n in n 1545729231.822 * [misc]backup-simplify: Simplify 0 into 0 1545729231.822 * [misc]backup-simplify: Simplify 1 into 1 1545729231.822 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.822 * [misc]backup-simplify: Simplify 2 into 2 1545729231.822 * [misc]backup-simplify: Simplify (* 0 2) into 0 1545729231.822 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729231.823 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1545729231.823 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1545729231.823 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.824 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729231.824 * [misc]backup-simplify: Simplify 0 into 0 1545729231.825 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729231.826 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729231.826 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.826 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.826 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545729231.828 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545729231.828 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545729231.829 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545729231.829 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729231.829 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.829 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.829 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545729231.830 * [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)))) 1545729231.830 * [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)))))) 1545729231.831 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545729231.831 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545729231.831 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545729231.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.831 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545729231.831 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545729231.831 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729231.831 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.831 * [misc]backup-simplify: Simplify 2 into 2 1545729231.831 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729231.831 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729231.831 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.831 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.831 * [misc]backup-simplify: Simplify PI into PI 1545729231.831 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.831 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729231.831 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729231.831 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.831 * [misc]backup-simplify: Simplify PI into PI 1545729231.831 * [misc]taylor: Taking taylor expansion of n in n 1545729231.831 * [misc]backup-simplify: Simplify 0 into 0 1545729231.831 * [misc]backup-simplify: Simplify 1 into 1 1545729231.831 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729231.832 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729231.832 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.832 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729231.832 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545729231.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.832 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545729231.832 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545729231.832 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729231.832 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.832 * [misc]backup-simplify: Simplify 2 into 2 1545729231.832 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729231.833 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729231.833 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729231.833 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729231.833 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.833 * [misc]backup-simplify: Simplify 2 into 2 1545729231.833 * [misc]taylor: Taking taylor expansion of n in n 1545729231.833 * [misc]backup-simplify: Simplify 0 into 0 1545729231.833 * [misc]backup-simplify: Simplify 1 into 1 1545729231.833 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729231.833 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729231.833 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.833 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729231.833 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729231.833 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.833 * [misc]backup-simplify: Simplify PI into PI 1545729231.833 * [misc]taylor: Taking taylor expansion of n in n 1545729231.833 * [misc]backup-simplify: Simplify 0 into 0 1545729231.833 * [misc]backup-simplify: Simplify 1 into 1 1545729231.833 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729231.834 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729231.834 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.834 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729231.835 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545729231.835 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545729231.835 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.835 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.836 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545729231.836 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545729231.836 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.836 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.836 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.836 * [misc]backup-simplify: Simplify 0 into 0 1545729231.836 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1545729231.839 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729231.839 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729231.839 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.839 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.840 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545729231.842 * [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))) 1545729231.843 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545729231.844 * [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 1545729231.844 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729231.844 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.844 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.844 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545729231.845 * [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))) 1545729231.847 * [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))))))) 1545729231.847 * [misc]taylor: Taking taylor expansion of (+ (* 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))))))) in n 1545729231.847 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545729231.847 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545729231.847 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545729231.847 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545729231.847 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545729231.847 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729231.847 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.847 * [misc]backup-simplify: Simplify 2 into 2 1545729231.847 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729231.847 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729231.847 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545729231.848 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.848 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.848 * [misc]backup-simplify: Simplify PI into PI 1545729231.848 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.848 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729231.848 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729231.848 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.848 * [misc]backup-simplify: Simplify PI into PI 1545729231.848 * [misc]taylor: Taking taylor expansion of n in n 1545729231.848 * [misc]backup-simplify: Simplify 0 into 0 1545729231.848 * [misc]backup-simplify: Simplify 1 into 1 1545729231.848 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729231.849 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729231.849 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.849 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729231.849 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))))) in n 1545729231.849 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545729231.849 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545729231.849 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545729231.849 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545729231.849 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545729231.850 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729231.850 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.850 * [misc]backup-simplify: Simplify 2 into 2 1545729231.850 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729231.850 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729231.850 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545729231.850 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729231.850 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729231.850 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.850 * [misc]backup-simplify: Simplify 2 into 2 1545729231.850 * [misc]taylor: Taking taylor expansion of n in n 1545729231.850 * [misc]backup-simplify: Simplify 0 into 0 1545729231.850 * [misc]backup-simplify: Simplify 1 into 1 1545729231.850 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729231.850 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729231.851 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.851 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.851 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729231.851 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729231.851 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.851 * [misc]backup-simplify: Simplify PI into PI 1545729231.851 * [misc]taylor: Taking taylor expansion of n in n 1545729231.851 * [misc]backup-simplify: Simplify 0 into 0 1545729231.851 * [misc]backup-simplify: Simplify 1 into 1 1545729231.851 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729231.852 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729231.852 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.852 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729231.852 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))) in n 1545729231.853 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545729231.853 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545729231.853 * [misc]taylor: Taking taylor expansion of (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))) in n 1545729231.853 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545729231.853 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545729231.853 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.853 * [misc]backup-simplify: Simplify PI into PI 1545729231.853 * [misc]taylor: Taking taylor expansion of n in n 1545729231.853 * [misc]backup-simplify: Simplify 0 into 0 1545729231.853 * [misc]backup-simplify: Simplify 1 into 1 1545729231.853 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545729231.853 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545729231.854 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545729231.854 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545729231.854 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545729231.854 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545729231.854 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.854 * [misc]backup-simplify: Simplify 2 into 2 1545729231.854 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545729231.855 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545729231.855 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545729231.855 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729231.855 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729231.855 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.855 * [misc]backup-simplify: Simplify 2 into 2 1545729231.855 * [misc]taylor: Taking taylor expansion of n in n 1545729231.855 * [misc]backup-simplify: Simplify 0 into 0 1545729231.855 * [misc]backup-simplify: Simplify 1 into 1 1545729231.855 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729231.855 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729231.855 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.855 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.855 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.855 * [misc]backup-simplify: Simplify PI into PI 1545729231.856 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.856 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545729231.857 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545729231.858 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545729231.858 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545729231.859 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.859 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.859 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545729231.860 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545729231.860 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545729231.860 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545729231.861 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.861 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545729231.862 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545729231.862 * [misc]backup-simplify: Simplify (* 0 (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))) into 0 1545729231.862 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545729231.863 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.863 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.863 * [misc]backup-simplify: Simplify 0 into 0 1545729231.865 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729231.866 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545729231.867 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545729231.870 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545729231.870 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545729231.872 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729231.872 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.873 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545729231.873 * [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)))))) 1545729231.876 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +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)))))) 1545729231.879 * [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))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545729231.883 * [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))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545729231.887 * [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)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545729231.887 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1545729231.888 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1545729231.889 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545729231.889 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1545729231.895 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (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)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545729231.895 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (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))))) 1545729231.895 * [misc]approximate: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545729231.895 * [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 1545729231.895 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.895 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729231.895 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729231.895 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.895 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.896 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.896 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.896 * [misc]taylor: Taking taylor expansion of k in n 1545729231.896 * [misc]backup-simplify: Simplify k into k 1545729231.896 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.896 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.896 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.896 * [misc]backup-simplify: Simplify PI into PI 1545729231.896 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.896 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.896 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.896 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.897 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729231.897 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.897 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.897 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729231.897 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729231.897 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.897 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.897 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.897 * [misc]taylor: Taking taylor expansion of k in n 1545729231.897 * [misc]backup-simplify: Simplify k into k 1545729231.897 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.897 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729231.897 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729231.897 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.897 * [misc]backup-simplify: Simplify 2 into 2 1545729231.897 * [misc]taylor: Taking taylor expansion of n in n 1545729231.898 * [misc]backup-simplify: Simplify 0 into 0 1545729231.898 * [misc]backup-simplify: Simplify 1 into 1 1545729231.898 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729231.898 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.898 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.898 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.898 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.898 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.899 * [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))) 1545729231.899 * [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)))) 1545729231.899 * [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 1545729231.899 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.899 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729231.899 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729231.899 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.899 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.899 * [misc]taylor: Taking taylor expansion of k in k 1545729231.899 * [misc]backup-simplify: Simplify 0 into 0 1545729231.899 * [misc]backup-simplify: Simplify 1 into 1 1545729231.900 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.900 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.900 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.900 * [misc]backup-simplify: Simplify PI into PI 1545729231.900 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.900 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.900 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.900 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.901 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729231.901 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.901 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.901 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729231.901 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729231.901 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.901 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.901 * [misc]taylor: Taking taylor expansion of k in k 1545729231.901 * [misc]backup-simplify: Simplify 0 into 0 1545729231.901 * [misc]backup-simplify: Simplify 1 into 1 1545729231.901 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.901 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729231.901 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729231.902 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.902 * [misc]backup-simplify: Simplify 2 into 2 1545729231.902 * [misc]taylor: Taking taylor expansion of n in k 1545729231.902 * [misc]backup-simplify: Simplify n into n 1545729231.902 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729231.902 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729231.902 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.902 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.902 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.902 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729231.902 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.902 * [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 1545729231.902 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.902 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545729231.903 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545729231.903 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.903 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.903 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.903 * [misc]taylor: Taking taylor expansion of k in k 1545729231.903 * [misc]backup-simplify: Simplify 0 into 0 1545729231.903 * [misc]backup-simplify: Simplify 1 into 1 1545729231.903 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.903 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.903 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.903 * [misc]backup-simplify: Simplify PI into PI 1545729231.903 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.903 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.903 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.904 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.904 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545729231.904 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.904 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.904 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729231.904 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729231.904 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.905 * [misc]taylor: Taking taylor expansion of k in k 1545729231.905 * [misc]backup-simplify: Simplify 0 into 0 1545729231.905 * [misc]backup-simplify: Simplify 1 into 1 1545729231.905 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.905 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729231.905 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729231.905 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.905 * [misc]backup-simplify: Simplify 2 into 2 1545729231.905 * [misc]taylor: Taking taylor expansion of n in k 1545729231.905 * [misc]backup-simplify: Simplify n into n 1545729231.905 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729231.905 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729231.905 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.905 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.906 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.906 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729231.906 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.906 * [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))))) 1545729231.906 * [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 1545729231.906 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.906 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545729231.906 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545729231.906 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.906 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.906 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.906 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.906 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.906 * [misc]taylor: Taking taylor expansion of k in n 1545729231.906 * [misc]backup-simplify: Simplify k into k 1545729231.907 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.907 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.907 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.907 * [misc]backup-simplify: Simplify PI into PI 1545729231.907 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.907 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.907 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.907 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.907 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545729231.908 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.908 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.908 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729231.908 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729231.908 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.908 * [misc]taylor: Taking taylor expansion of k in n 1545729231.908 * [misc]backup-simplify: Simplify k into k 1545729231.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.908 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729231.908 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729231.908 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.908 * [misc]backup-simplify: Simplify 2 into 2 1545729231.908 * [misc]taylor: Taking taylor expansion of n in n 1545729231.908 * [misc]backup-simplify: Simplify 0 into 0 1545729231.908 * [misc]backup-simplify: Simplify 1 into 1 1545729231.908 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729231.909 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.909 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.909 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.909 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.909 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.909 * [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))) 1545729231.910 * [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)))) 1545729231.910 * [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))))) 1545729231.911 * [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))))) 1545729231.911 * [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 1545729231.911 * [misc]taylor: Taking taylor expansion of 0 in n 1545729231.911 * [misc]backup-simplify: Simplify 0 into 0 1545729231.911 * [misc]backup-simplify: Simplify 0 into 0 1545729231.911 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545729231.913 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729231.913 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729231.914 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729231.914 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.914 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.914 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.914 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545729231.915 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729231.917 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729231.917 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729231.917 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729231.917 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.917 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.918 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545729231.918 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729231.919 * [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 1545729231.919 * [misc]backup-simplify: Simplify 0 into 0 1545729231.919 * [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 1545729231.919 * [misc]taylor: Taking taylor expansion of 0 in n 1545729231.919 * [misc]backup-simplify: Simplify 0 into 0 1545729231.919 * [misc]backup-simplify: Simplify 0 into 0 1545729231.919 * [misc]backup-simplify: Simplify 0 into 0 1545729231.919 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729231.922 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545729231.922 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729231.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729231.922 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.922 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.923 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545729231.924 * [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 1545729231.927 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729231.927 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729231.927 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729231.927 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.927 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.928 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545729231.930 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545729231.930 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545729231.930 * [misc]backup-simplify: Simplify 0 into 0 1545729231.931 * [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 1545729231.931 * [misc]taylor: Taking taylor expansion of 0 in n 1545729231.931 * [misc]backup-simplify: Simplify 0 into 0 1545729231.931 * [misc]backup-simplify: Simplify 0 into 0 1545729231.931 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (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)))) (pow PI (- 1/2 (* 1/2 k)))) 1545729231.931 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (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))) 1545729231.931 * [misc]approximate: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545729231.931 * [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 1545729231.931 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.932 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729231.932 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729231.932 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.932 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.932 * [misc]taylor: Taking taylor expansion of k in n 1545729231.932 * [misc]backup-simplify: Simplify k into k 1545729231.932 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.932 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729231.932 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729231.932 * [misc]taylor: Taking taylor expansion of -2 in n 1545729231.932 * [misc]backup-simplify: Simplify -2 into -2 1545729231.932 * [misc]taylor: Taking taylor expansion of n in n 1545729231.932 * [misc]backup-simplify: Simplify 0 into 0 1545729231.932 * [misc]backup-simplify: Simplify 1 into 1 1545729231.932 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729231.932 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729231.932 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.932 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.932 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729231.933 * [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))) 1545729231.933 * [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)))) 1545729231.933 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.933 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729231.933 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729231.933 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.933 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.933 * [misc]taylor: Taking taylor expansion of k in n 1545729231.933 * [misc]backup-simplify: Simplify k into k 1545729231.933 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.933 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.933 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.933 * [misc]backup-simplify: Simplify PI into PI 1545729231.933 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.933 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.933 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.934 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729231.934 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.934 * [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 1545729231.934 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.934 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729231.934 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729231.934 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.934 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.934 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.934 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.934 * [misc]taylor: Taking taylor expansion of k in k 1545729231.934 * [misc]backup-simplify: Simplify 0 into 0 1545729231.934 * [misc]backup-simplify: Simplify 1 into 1 1545729231.934 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.934 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.934 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729231.934 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729231.934 * [misc]taylor: Taking taylor expansion of -2 in k 1545729231.934 * [misc]backup-simplify: Simplify -2 into -2 1545729231.934 * [misc]taylor: Taking taylor expansion of n in k 1545729231.934 * [misc]backup-simplify: Simplify n into n 1545729231.934 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729231.934 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729231.935 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.935 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.935 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729231.935 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.935 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.935 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729231.935 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729231.935 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.935 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.935 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.935 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.935 * [misc]taylor: Taking taylor expansion of k in k 1545729231.935 * [misc]backup-simplify: Simplify 0 into 0 1545729231.935 * [misc]backup-simplify: Simplify 1 into 1 1545729231.935 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.935 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.935 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.935 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.935 * [misc]backup-simplify: Simplify PI into PI 1545729231.935 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.936 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.936 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.936 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.936 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.936 * [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 1545729231.936 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.936 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729231.936 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729231.936 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.936 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.936 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.936 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.936 * [misc]taylor: Taking taylor expansion of k in k 1545729231.936 * [misc]backup-simplify: Simplify 0 into 0 1545729231.936 * [misc]backup-simplify: Simplify 1 into 1 1545729231.936 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.936 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.937 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729231.937 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729231.937 * [misc]taylor: Taking taylor expansion of -2 in k 1545729231.937 * [misc]backup-simplify: Simplify -2 into -2 1545729231.937 * [misc]taylor: Taking taylor expansion of n in k 1545729231.937 * [misc]backup-simplify: Simplify n into n 1545729231.937 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729231.937 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729231.937 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.937 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.937 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729231.937 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.937 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729231.937 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545729231.937 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545729231.937 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729231.937 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.937 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.937 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.937 * [misc]taylor: Taking taylor expansion of k in k 1545729231.937 * [misc]backup-simplify: Simplify 0 into 0 1545729231.937 * [misc]backup-simplify: Simplify 1 into 1 1545729231.937 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.937 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.937 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545729231.937 * [misc]taylor: Taking taylor expansion of PI in k 1545729231.937 * [misc]backup-simplify: Simplify PI into PI 1545729231.938 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.938 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.938 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.938 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545729231.938 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.939 * [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))) 1545729231.939 * [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 1545729231.939 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.939 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729231.939 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729231.939 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.939 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.939 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.939 * [misc]taylor: Taking taylor expansion of k in n 1545729231.939 * [misc]backup-simplify: Simplify k into k 1545729231.939 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.939 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729231.939 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729231.939 * [misc]taylor: Taking taylor expansion of -2 in n 1545729231.939 * [misc]backup-simplify: Simplify -2 into -2 1545729231.939 * [misc]taylor: Taking taylor expansion of n in n 1545729231.939 * [misc]backup-simplify: Simplify 0 into 0 1545729231.939 * [misc]backup-simplify: Simplify 1 into 1 1545729231.939 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729231.939 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729231.939 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.939 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.939 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729231.940 * [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))) 1545729231.940 * [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)))) 1545729231.940 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729231.940 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545729231.940 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545729231.940 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729231.940 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.940 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.940 * [misc]taylor: Taking taylor expansion of k in n 1545729231.940 * [misc]backup-simplify: Simplify k into k 1545729231.940 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.940 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545729231.940 * [misc]taylor: Taking taylor expansion of PI in n 1545729231.940 * [misc]backup-simplify: Simplify PI into PI 1545729231.940 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545729231.940 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.940 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729231.941 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545729231.941 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545729231.941 * [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))) 1545729231.941 * [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))) 1545729231.942 * [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 1545729231.942 * [misc]taylor: Taking taylor expansion of 0 in n 1545729231.942 * [misc]backup-simplify: Simplify 0 into 0 1545729231.942 * [misc]backup-simplify: Simplify 0 into 0 1545729231.943 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545729231.943 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729231.943 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729231.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.944 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545729231.945 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729231.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545729231.946 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545729231.946 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729231.946 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729231.947 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.947 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729231.947 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545729231.948 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729231.949 * [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 1545729231.949 * [misc]backup-simplify: Simplify 0 into 0 1545729231.949 * [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 1545729231.949 * [misc]taylor: Taking taylor expansion of 0 in n 1545729231.949 * [misc]backup-simplify: Simplify 0 into 0 1545729231.949 * [misc]backup-simplify: Simplify 0 into 0 1545729231.949 * [misc]backup-simplify: Simplify 0 into 0 1545729231.953 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545729231.954 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729231.954 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729231.954 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.955 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545729231.957 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545729231.958 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729231.962 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545729231.962 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729231.962 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729231.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.963 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729231.963 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545729231.965 * [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 1545729231.966 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545729231.966 * [misc]backup-simplify: Simplify 0 into 0 1545729231.967 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545729231.967 * [misc]taylor: Taking taylor expansion of 0 in n 1545729231.967 * [misc]backup-simplify: Simplify 0 into 0 1545729231.967 * [misc]backup-simplify: Simplify 0 into 0 1545729231.967 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545729231.968 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2) 1545729231.968 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545729231.968 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545729231.968 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545729231.968 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545729231.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545729231.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.968 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.968 * [misc]taylor: Taking taylor expansion of k in k 1545729231.968 * [misc]backup-simplify: Simplify 0 into 0 1545729231.968 * [misc]backup-simplify: Simplify 1 into 1 1545729231.968 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545729231.968 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545729231.968 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.968 * [misc]backup-simplify: Simplify 2 into 2 1545729231.968 * [misc]taylor: Taking taylor expansion of n in k 1545729231.968 * [misc]backup-simplify: Simplify n into n 1545729231.968 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545729231.968 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545729231.969 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.969 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.969 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.969 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545729231.969 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545729231.969 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545729231.969 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545729231.969 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545729231.969 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729231.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.969 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729231.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.969 * [misc]taylor: Taking taylor expansion of k in n 1545729231.969 * [misc]backup-simplify: Simplify k into k 1545729231.969 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729231.969 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729231.970 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.970 * [misc]backup-simplify: Simplify 2 into 2 1545729231.970 * [misc]taylor: Taking taylor expansion of n in n 1545729231.970 * [misc]backup-simplify: Simplify 0 into 0 1545729231.970 * [misc]backup-simplify: Simplify 1 into 1 1545729231.970 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729231.970 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729231.970 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.970 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729231.970 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729231.970 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729231.971 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.971 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545729231.971 * [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)))) 1545729231.971 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545729231.971 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545729231.972 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545729231.972 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545729231.972 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.972 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545729231.972 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.972 * [misc]taylor: Taking taylor expansion of k in n 1545729231.972 * [misc]backup-simplify: Simplify k into k 1545729231.972 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545729231.972 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545729231.972 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.972 * [misc]backup-simplify: Simplify 2 into 2 1545729231.972 * [misc]taylor: Taking taylor expansion of n in n 1545729231.972 * [misc]backup-simplify: Simplify 0 into 0 1545729231.972 * [misc]backup-simplify: Simplify 1 into 1 1545729231.972 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545729231.972 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545729231.972 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.973 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545729231.973 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545729231.973 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545729231.973 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.973 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545729231.974 * [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)))) 1545729231.974 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545729231.974 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545729231.974 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545729231.974 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545729231.974 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.974 * [misc]backup-simplify: Simplify 2 into 2 1545729231.974 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.974 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729231.974 * [misc]taylor: Taking taylor expansion of n in k 1545729231.974 * [misc]backup-simplify: Simplify n into n 1545729231.974 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729231.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729231.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.975 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729231.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.975 * [misc]taylor: Taking taylor expansion of k in k 1545729231.975 * [misc]backup-simplify: Simplify 0 into 0 1545729231.975 * [misc]backup-simplify: Simplify 1 into 1 1545729231.975 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545729231.975 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729231.975 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.975 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729231.976 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545729231.976 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545729231.976 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545729231.976 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545729231.978 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729231.978 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545729231.978 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.978 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.978 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.978 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545729231.979 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729231.979 * [misc]taylor: Taking taylor expansion of 0 in k 1545729231.979 * [misc]backup-simplify: Simplify 0 into 0 1545729231.979 * [misc]backup-simplify: Simplify 0 into 0 1545729231.979 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729231.979 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.979 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.981 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729231.981 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545729231.981 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.982 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545729231.982 * [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))))) 1545729231.983 * [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))))) 1545729231.983 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545729231.985 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545729231.986 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545729231.986 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.986 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.986 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545729231.986 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545729231.987 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545729231.988 * [misc]taylor: Taking taylor expansion of 0 in k 1545729231.988 * [misc]backup-simplify: Simplify 0 into 0 1545729231.988 * [misc]backup-simplify: Simplify 0 into 0 1545729231.988 * [misc]backup-simplify: Simplify 0 into 0 1545729231.988 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729231.988 * [misc]backup-simplify: Simplify (- 0) into 0 1545729231.988 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.991 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545729231.991 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545729231.992 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729231.992 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545729231.993 * [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))))) 1545729231.994 * [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))))) 1545729231.995 * [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))))) 1545729231.996 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.996 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545729231.996 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729231.996 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545729231.996 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545729231.996 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.996 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.996 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729231.996 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729231.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.996 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729231.996 * [misc]taylor: Taking taylor expansion of k in k 1545729231.996 * [misc]backup-simplify: Simplify 0 into 0 1545729231.996 * [misc]backup-simplify: Simplify 1 into 1 1545729231.996 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729231.996 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545729231.996 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545729231.996 * [misc]taylor: Taking taylor expansion of 2 in k 1545729231.996 * [misc]backup-simplify: Simplify 2 into 2 1545729231.996 * [misc]taylor: Taking taylor expansion of n in k 1545729231.996 * [misc]backup-simplify: Simplify n into n 1545729231.996 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545729231.996 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545729231.996 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729231.996 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729231.996 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729231.997 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545729231.997 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545729231.997 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.997 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729231.997 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729231.997 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.997 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.997 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.997 * [misc]taylor: Taking taylor expansion of k in n 1545729231.997 * [misc]backup-simplify: Simplify k into k 1545729231.997 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.997 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729231.997 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729231.997 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.997 * [misc]backup-simplify: Simplify 2 into 2 1545729231.997 * [misc]taylor: Taking taylor expansion of n in n 1545729231.997 * [misc]backup-simplify: Simplify 0 into 0 1545729231.997 * [misc]backup-simplify: Simplify 1 into 1 1545729231.997 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729231.997 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.997 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.997 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.997 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.998 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.998 * [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))) 1545729231.998 * [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)))) 1545729231.998 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545729231.998 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545729231.998 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545729231.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545729231.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729231.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729231.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729231.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729231.998 * [misc]taylor: Taking taylor expansion of k in n 1545729231.998 * [misc]backup-simplify: Simplify k into k 1545729231.998 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729231.998 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545729231.998 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545729231.998 * [misc]taylor: Taking taylor expansion of 2 in n 1545729231.998 * [misc]backup-simplify: Simplify 2 into 2 1545729231.998 * [misc]taylor: Taking taylor expansion of n in n 1545729231.998 * [misc]backup-simplify: Simplify 0 into 0 1545729231.998 * [misc]backup-simplify: Simplify 1 into 1 1545729231.998 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545729231.999 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729231.999 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729231.999 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545729231.999 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545729231.999 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729231.999 * [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))) 1545729231.999 * [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)))) 1545729231.999 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545729231.999 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545729231.999 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729231.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729232.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.000 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729232.000 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729232.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729232.000 * [misc]taylor: Taking taylor expansion of k in k 1545729232.000 * [misc]backup-simplify: Simplify 0 into 0 1545729232.000 * [misc]backup-simplify: Simplify 1 into 1 1545729232.000 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729232.000 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545729232.000 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545729232.000 * [misc]taylor: Taking taylor expansion of 2 in k 1545729232.000 * [misc]backup-simplify: Simplify 2 into 2 1545729232.000 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545729232.000 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729232.000 * [misc]taylor: Taking taylor expansion of n in k 1545729232.000 * [misc]backup-simplify: Simplify n into n 1545729232.000 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729232.000 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729232.000 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729232.000 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729232.000 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545729232.000 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545729232.001 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545729232.001 * [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)))) 1545729232.001 * [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)))) 1545729232.001 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545729232.003 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545729232.003 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729232.003 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729232.003 * [misc]backup-simplify: Simplify (- 0) into 0 1545729232.003 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729232.004 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729232.004 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545729232.005 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729232.005 * [misc]taylor: Taking taylor expansion of 0 in k 1545729232.005 * [misc]backup-simplify: Simplify 0 into 0 1545729232.005 * [misc]backup-simplify: Simplify 0 into 0 1545729232.005 * [misc]backup-simplify: Simplify 0 into 0 1545729232.006 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729232.010 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545729232.010 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729232.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729232.011 * [misc]backup-simplify: Simplify (- 0) into 0 1545729232.011 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729232.011 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729232.012 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545729232.014 * [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 1545729232.014 * [misc]taylor: Taking taylor expansion of 0 in k 1545729232.014 * [misc]backup-simplify: Simplify 0 into 0 1545729232.014 * [misc]backup-simplify: Simplify 0 into 0 1545729232.014 * [misc]backup-simplify: Simplify 0 into 0 1545729232.014 * [misc]backup-simplify: Simplify 0 into 0 1545729232.015 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729232.021 * [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 1545729232.022 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729232.022 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545729232.023 * [misc]backup-simplify: Simplify (- 0) into 0 1545729232.023 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729232.023 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545729232.024 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545729232.028 * [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 1545729232.028 * [misc]taylor: Taking taylor expansion of 0 in k 1545729232.028 * [misc]backup-simplify: Simplify 0 into 0 1545729232.028 * [misc]backup-simplify: Simplify 0 into 0 1545729232.028 * [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)))) 1545729232.028 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729232.028 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545729232.029 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729232.029 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545729232.029 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545729232.029 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729232.029 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729232.029 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729232.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.029 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729232.029 * [misc]taylor: Taking taylor expansion of k in k 1545729232.029 * [misc]backup-simplify: Simplify 0 into 0 1545729232.029 * [misc]backup-simplify: Simplify 1 into 1 1545729232.029 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729232.029 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729232.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.029 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545729232.029 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545729232.029 * [misc]taylor: Taking taylor expansion of -2 in k 1545729232.029 * [misc]backup-simplify: Simplify -2 into -2 1545729232.029 * [misc]taylor: Taking taylor expansion of n in k 1545729232.029 * [misc]backup-simplify: Simplify n into n 1545729232.029 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545729232.029 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545729232.030 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729232.030 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729232.030 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545729232.030 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545729232.030 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729232.030 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729232.030 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729232.030 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729232.030 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729232.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729232.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.030 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729232.030 * [misc]taylor: Taking taylor expansion of k in n 1545729232.030 * [misc]backup-simplify: Simplify k into k 1545729232.030 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729232.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729232.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.030 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729232.030 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729232.031 * [misc]taylor: Taking taylor expansion of -2 in n 1545729232.031 * [misc]backup-simplify: Simplify -2 into -2 1545729232.031 * [misc]taylor: Taking taylor expansion of n in n 1545729232.031 * [misc]backup-simplify: Simplify 0 into 0 1545729232.031 * [misc]backup-simplify: Simplify 1 into 1 1545729232.031 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729232.031 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729232.031 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729232.031 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729232.031 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729232.032 * [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))) 1545729232.032 * [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)))) 1545729232.032 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545729232.032 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545729232.032 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545729232.032 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545729232.032 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545729232.032 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729232.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.032 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545729232.032 * [misc]taylor: Taking taylor expansion of k in n 1545729232.032 * [misc]backup-simplify: Simplify k into k 1545729232.032 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545729232.033 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545729232.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.033 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545729232.033 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545729232.033 * [misc]taylor: Taking taylor expansion of -2 in n 1545729232.033 * [misc]backup-simplify: Simplify -2 into -2 1545729232.033 * [misc]taylor: Taking taylor expansion of n in n 1545729232.033 * [misc]backup-simplify: Simplify 0 into 0 1545729232.033 * [misc]backup-simplify: Simplify 1 into 1 1545729232.033 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545729232.033 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729232.033 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545729232.033 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545729232.034 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729232.034 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545729232.034 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545729232.034 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545729232.034 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545729232.034 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729232.034 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729232.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729232.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.035 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729232.035 * [misc]taylor: Taking taylor expansion of k in k 1545729232.035 * [misc]backup-simplify: Simplify 0 into 0 1545729232.035 * [misc]backup-simplify: Simplify 1 into 1 1545729232.035 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729232.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729232.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729232.035 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545729232.035 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545729232.035 * [misc]taylor: Taking taylor expansion of -2 in k 1545729232.035 * [misc]backup-simplify: Simplify -2 into -2 1545729232.035 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545729232.035 * [misc]taylor: Taking taylor expansion of (log n) in k 1545729232.035 * [misc]taylor: Taking taylor expansion of n in k 1545729232.035 * [misc]backup-simplify: Simplify n into n 1545729232.035 * [misc]backup-simplify: Simplify (log n) into (log n) 1545729232.035 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729232.036 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729232.036 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545729232.036 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545729232.036 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545729232.036 * [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)))) 1545729232.037 * [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)))) 1545729232.037 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545729232.040 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545729232.040 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545729232.040 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545729232.040 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729232.040 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729232.041 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545729232.042 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545729232.042 * [misc]taylor: Taking taylor expansion of 0 in k 1545729232.042 * [misc]backup-simplify: Simplify 0 into 0 1545729232.042 * [misc]backup-simplify: Simplify 0 into 0 1545729232.042 * [misc]backup-simplify: Simplify 0 into 0 1545729232.043 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729232.047 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545729232.047 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729232.048 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545729232.048 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729232.048 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729232.049 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545729232.051 * [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 1545729232.051 * [misc]taylor: Taking taylor expansion of 0 in k 1545729232.051 * [misc]backup-simplify: Simplify 0 into 0 1545729232.051 * [misc]backup-simplify: Simplify 0 into 0 1545729232.051 * [misc]backup-simplify: Simplify 0 into 0 1545729232.051 * [misc]backup-simplify: Simplify 0 into 0 1545729232.052 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729232.059 * [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 1545729232.059 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545729232.060 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545729232.060 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729232.060 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545729232.061 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545729232.064 * [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 1545729232.064 * [misc]taylor: Taking taylor expansion of 0 in k 1545729232.065 * [misc]backup-simplify: Simplify 0 into 0 1545729232.065 * [misc]backup-simplify: Simplify 0 into 0 1545729232.065 * [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))))) 1545729232.065 * * * [misc]progress: simplifying candidates 1545729232.065 * * * * [misc]progress: [ 1 / 102 ] simplifiying candidate # 1545729232.065 * * * * [misc]progress: [ 2 / 102 ] simplifiying candidate # 1545729232.066 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545729232.066 * * [misc]simplify: iters left: 3 (5 enodes) 1545729232.068 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545729232.068 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (/ (pow PI 1/2) (pow PI (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729232.069 * * * * [misc]progress: [ 3 / 102 ] simplifiying candidate # 1545729232.069 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545729232.069 * * [misc]simplify: iters left: 5 (6 enodes) 1545729232.071 * * [misc]simplify: iters left: 4 (8 enodes) 1545729232.073 * * [misc]simplify: iters left: 3 (11 enodes) 1545729232.076 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545729232.077 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729232.077 * * * * [misc]progress: [ 4 / 102 ] simplifiying candidate # 1545729232.077 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545729232.077 * * [misc]simplify: iters left: 5 (6 enodes) 1545729232.079 * * [misc]simplify: iters left: 4 (8 enodes) 1545729232.081 * * [misc]simplify: iters left: 3 (11 enodes) 1545729232.084 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545729232.084 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729232.084 * * * * [misc]progress: [ 5 / 102 ] simplifiying candidate # 1545729232.085 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545729232.085 * * [misc]simplify: iters left: 4 (5 enodes) 1545729232.086 * * [misc]simplify: iters left: 3 (7 enodes) 1545729232.088 * * [misc]simplify: iters left: 2 (10 enodes) 1545729232.091 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545729232.091 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI 1) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729232.091 * * * * [misc]progress: [ 6 / 102 ] simplifiying candidate # 1545729232.091 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545729232.092 * * [misc]simplify: iters left: 5 (6 enodes) 1545729232.093 * * [misc]simplify: iters left: 4 (8 enodes) 1545729232.096 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545729232.096 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729232.096 * * * * [misc]progress: [ 7 / 102 ] simplifiying candidate # 1545729232.096 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545729232.096 * * [misc]simplify: iters left: 5 (6 enodes) 1545729232.098 * * [misc]simplify: iters left: 4 (8 enodes) 1545729232.100 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545729232.100 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729232.100 * * * * [misc]progress: [ 8 / 102 ] simplifiying candidate # 1545729232.100 * * * * [misc]progress: [ 9 / 102 ] simplifiying candidate # 1545729232.100 * * * * [misc]progress: [ 10 / 102 ] simplifiying candidate # 1545729232.101 * * * * [misc]progress: [ 11 / 102 ] simplifiying candidate # 1545729232.101 * * * * [misc]progress: [ 12 / 102 ] simplifiying candidate # 1545729232.101 * * * * [misc]progress: [ 13 / 102 ] simplifiying candidate # 1545729232.101 * * * * [misc]progress: [ 14 / 102 ] simplifiying candidate # 1545729232.101 * * * * [misc]progress: [ 15 / 102 ] simplifiying candidate # 1545729232.101 * * * * [misc]progress: [ 16 / 102 ] simplifiying candidate # 1545729232.101 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545729232.101 * * [misc]simplify: iters left: 6 (16 enodes) 1545729232.105 * * [misc]simplify: iters left: 5 (31 enodes) 1545729232.111 * * [misc]simplify: iters left: 4 (70 enodes) 1545729232.128 * * [misc]simplify: iters left: 3 (238 enodes) 1545729232.258 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2))) 1545729232.258 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2)))))) 1545729232.258 * * * * [misc]progress: [ 17 / 102 ] simplifiying candidate # 1545729232.258 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545729232.259 * * [misc]simplify: iters left: 6 (16 enodes) 1545729232.265 * * [misc]simplify: iters left: 5 (31 enodes) 1545729232.275 * * [misc]simplify: iters left: 4 (70 enodes) 1545729232.312 * * [misc]simplify: iters left: 3 (238 enodes) 1545729232.454 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2))) 1545729232.454 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2)))))) 1545729232.454 * * * * [misc]progress: [ 18 / 102 ] simplifiying candidate # 1545729232.454 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545729232.454 * * [misc]simplify: iters left: 6 (16 enodes) 1545729232.459 * * [misc]simplify: iters left: 5 (27 enodes) 1545729232.468 * * [misc]simplify: iters left: 4 (53 enodes) 1545729232.478 * * [misc]simplify: iters left: 3 (137 enodes) 1545729232.527 * * [misc]simplify: iters left: 2 (491 enodes) 1545729232.875 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* n 2))) (+ -1/2 (/ k 2))) (log (sqrt k))) 1545729232.875 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* n 2))) (+ -1/2 (/ k 2))) (log (sqrt k)))))) 1545729232.875 * * * * [misc]progress: [ 19 / 102 ] simplifiying candidate # 1545729232.875 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545729232.875 * * [misc]simplify: iters left: 6 (16 enodes) 1545729232.878 * * [misc]simplify: iters left: 5 (30 enodes) 1545729232.883 * * [misc]simplify: iters left: 4 (59 enodes) 1545729232.908 * * [misc]simplify: iters left: 3 (183 enodes) 1545729232.992 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)))) 1545729232.992 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))))))) 1545729232.992 * * * * [misc]progress: [ 20 / 102 ] simplifiying candidate # 1545729232.992 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545729232.992 * * [misc]simplify: iters left: 6 (16 enodes) 1545729232.995 * * [misc]simplify: iters left: 5 (30 enodes) 1545729233.001 * * [misc]simplify: iters left: 4 (59 enodes) 1545729233.014 * * [misc]simplify: iters left: 3 (183 enodes) 1545729233.128 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)))) 1545729233.128 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))))))) 1545729233.128 * * * * [misc]progress: [ 21 / 102 ] simplifiying candidate # 1545729233.128 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545729233.129 * * [misc]simplify: iters left: 6 (16 enodes) 1545729233.131 * * [misc]simplify: iters left: 5 (28 enodes) 1545729233.140 * * [misc]simplify: iters left: 4 (49 enodes) 1545729233.156 * * [misc]simplify: iters left: 3 (110 enodes) 1545729233.219 * * [misc]simplify: iters left: 2 (396 enodes) 1545729233.509 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)))) 1545729233.509 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))))))) 1545729233.510 * * * * [misc]progress: [ 22 / 102 ] simplifiying candidate # 1545729233.510 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545729233.510 * * [misc]simplify: iters left: 6 (15 enodes) 1545729233.514 * * [misc]simplify: iters left: 5 (24 enodes) 1545729233.521 * * [misc]simplify: iters left: 4 (38 enodes) 1545729233.533 * * [misc]simplify: iters left: 3 (64 enodes) 1545729233.555 * * [misc]simplify: iters left: 2 (140 enodes) 1545729233.619 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)))) 1545729233.620 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))))))) 1545729233.620 * * * * [misc]progress: [ 23 / 102 ] simplifiying candidate # 1545729233.620 * * * * [misc]progress: [ 24 / 102 ] simplifiying candidate # 1545729233.620 * * * * [misc]progress: [ 25 / 102 ] simplifiying candidate # 1545729233.620 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545729233.620 * * [misc]simplify: iters left: 6 (19 enodes) 1545729233.623 * * [misc]simplify: iters left: 5 (37 enodes) 1545729233.630 * * [misc]simplify: iters left: 4 (123 enodes) 1545729233.698 * * [misc]simplify: iters left: 3 (458 enodes) 1545729234.143 * [exit]simplify: Simplified to (/ (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545729234.144 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545729234.144 * * * * [misc]progress: [ 26 / 102 ] simplifiying candidate # 1545729234.144 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545729234.144 * * [misc]simplify: iters left: 6 (17 enodes) 1545729234.150 * * [misc]simplify: iters left: 5 (36 enodes) 1545729234.167 * * [misc]simplify: iters left: 4 (113 enodes) 1545729234.228 * * [misc]simplify: iters left: 3 (420 enodes) 1545729234.841 * [exit]simplify: Simplified to (/ (* (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545729234.841 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (* (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545729234.841 * * * * [misc]progress: [ 27 / 102 ] simplifiying candidate # 1545729234.841 * * * * [misc]progress: [ 28 / 102 ] simplifiying candidate # 1545729234.841 * * * * [misc]progress: [ 29 / 102 ] simplifiying candidate # 1545729234.841 * * * * [misc]progress: [ 30 / 102 ] simplifiying candidate # 1545729234.841 * * * * [misc]progress: [ 31 / 102 ] simplifiying candidate # 1545729234.842 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545729234.842 * * [misc]simplify: iters left: 6 (11 enodes) 1545729234.845 * * [misc]simplify: iters left: 5 (15 enodes) 1545729234.850 * * [misc]simplify: iters left: 4 (20 enodes) 1545729234.855 * * [misc]simplify: iters left: 3 (21 enodes) 1545729234.861 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545729234.861 * [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))))))) 1545729234.862 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729234.862 * * [misc]simplify: iters left: 6 (11 enodes) 1545729234.865 * * [misc]simplify: iters left: 5 (14 enodes) 1545729234.868 * * [misc]simplify: iters left: 4 (17 enodes) 1545729234.871 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729234.871 * [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))))))) 1545729234.871 * * * * [misc]progress: [ 32 / 102 ] simplifiying candidate # 1545729234.871 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545729234.871 * * [misc]simplify: iters left: 6 (10 enodes) 1545729234.872 * * [misc]simplify: iters left: 5 (12 enodes) 1545729234.874 * * [misc]simplify: iters left: 4 (15 enodes) 1545729234.876 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545729234.876 * [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))))))) 1545729234.877 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729234.877 * * [misc]simplify: iters left: 6 (11 enodes) 1545729234.878 * * [misc]simplify: iters left: 5 (14 enodes) 1545729234.880 * * [misc]simplify: iters left: 4 (17 enodes) 1545729234.882 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729234.883 * [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))))))) 1545729234.883 * * * * [misc]progress: [ 33 / 102 ] simplifiying candidate # 1545729234.883 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545729234.883 * * [misc]simplify: iters left: 6 (9 enodes) 1545729234.884 * * [misc]simplify: iters left: 5 (13 enodes) 1545729234.886 * * [misc]simplify: iters left: 4 (16 enodes) 1545729234.888 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545729234.888 * [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))))))) 1545729234.888 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729234.888 * * [misc]simplify: iters left: 6 (10 enodes) 1545729234.890 * * [misc]simplify: iters left: 5 (13 enodes) 1545729234.891 * * [misc]simplify: iters left: 4 (16 enodes) 1545729234.894 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729234.894 * [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))))))) 1545729234.894 * * * * [misc]progress: [ 34 / 102 ] simplifiying candidate # 1545729234.894 * * * * [misc]progress: [ 35 / 102 ] simplifiying candidate # 1545729234.894 * * * * [misc]progress: [ 36 / 102 ] simplifiying candidate # 1545729234.894 * * * * [misc]progress: [ 37 / 102 ] simplifiying candidate # 1545729234.894 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545729234.894 * * [misc]simplify: iters left: 5 (8 enodes) 1545729234.895 * * [misc]simplify: iters left: 4 (11 enodes) 1545729234.898 * * [misc]simplify: iters left: 3 (14 enodes) 1545729234.902 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545729234.902 * [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)))))) 1545729234.902 * * * * [misc]progress: [ 38 / 102 ] simplifiying candidate # 1545729234.903 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545729234.903 * * [misc]simplify: iters left: 4 (4 enodes) 1545729234.904 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545729234.904 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545729234.904 * * * * [misc]progress: [ 39 / 102 ] simplifiying candidate # 1545729234.904 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545729234.904 * * [misc]simplify: iters left: 2 (3 enodes) 1545729234.905 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545729234.905 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545729234.905 * * * * [misc]progress: [ 40 / 102 ] simplifiying candidate # 1545729234.905 * * * * [misc]progress: [ 41 / 102 ] simplifiying candidate # 1545729234.906 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))) 1545729234.906 * * [misc]simplify: iters left: 5 (9 enodes) 1545729234.908 * * [misc]simplify: iters left: 4 (11 enodes) 1545729234.911 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))) 1545729234.911 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow PI 1/2) (pow (* n 2) 1/2))) (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2)))))) 1545729234.911 * * * * [misc]progress: [ 42 / 102 ] simplifiying candidate # 1545729234.912 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545729234.912 * * [misc]simplify: iters left: 3 (6 enodes) 1545729234.914 * * [misc]simplify: iters left: 2 (7 enodes) 1545729234.916 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545729234.916 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2))))) 1545729234.916 * * * * [misc]progress: [ 43 / 102 ] simplifiying candidate # 1545729234.916 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545729234.916 * * [misc]simplify: iters left: 3 (5 enodes) 1545729234.917 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545729234.917 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (/ k 2))))) 1545729234.917 * * * * [misc]progress: [ 44 / 102 ] simplifiying candidate # 1545729234.918 * [enter]simplify: Simplifying (* PI (* n 2)) 1545729234.918 * * [misc]simplify: iters left: 4 (5 enodes) 1545729234.919 * * [misc]simplify: iters left: 3 (9 enodes) 1545729234.923 * * [misc]simplify: iters left: 2 (15 enodes) 1545729234.927 * * [misc]simplify: iters left: 1 (17 enodes) 1545729234.931 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545729234.931 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1545729234.931 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545729234.931 * * [misc]simplify: iters left: 4 (5 enodes) 1545729234.933 * * [misc]simplify: iters left: 3 (7 enodes) 1545729234.934 * * [misc]simplify: iters left: 2 (10 enodes) 1545729234.937 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545729234.937 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545729234.937 * * * * [misc]progress: [ 45 / 102 ] simplifiying candidate # 1545729234.937 * * * * [misc]progress: [ 46 / 102 ] simplifiying candidate # 1545729234.937 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545729234.937 * * [misc]simplify: iters left: 6 (13 enodes) 1545729234.942 * * [misc]simplify: iters left: 5 (24 enodes) 1545729234.950 * * [misc]simplify: iters left: 4 (51 enodes) 1545729234.963 * * [misc]simplify: iters left: 3 (139 enodes) 1545729235.002 * * [misc]simplify: iters left: 2 (419 enodes) 1545729235.228 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545729235.228 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))))))) 1545729235.228 * * * * [misc]progress: [ 47 / 102 ] simplifiying candidate # 1545729235.228 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545729235.228 * * [misc]simplify: iters left: 6 (13 enodes) 1545729235.231 * * [misc]simplify: iters left: 5 (24 enodes) 1545729235.235 * * [misc]simplify: iters left: 4 (51 enodes) 1545729235.246 * * [misc]simplify: iters left: 3 (139 enodes) 1545729235.303 * * [misc]simplify: iters left: 2 (419 enodes) 1545729235.555 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545729235.555 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))))))) 1545729235.555 * * * * [misc]progress: [ 48 / 102 ] simplifiying candidate # 1545729235.555 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545729235.555 * * [misc]simplify: iters left: 6 (13 enodes) 1545729235.557 * * [misc]simplify: iters left: 5 (20 enodes) 1545729235.560 * * [misc]simplify: iters left: 4 (38 enodes) 1545729235.567 * * [misc]simplify: iters left: 3 (81 enodes) 1545729235.601 * * [misc]simplify: iters left: 2 (245 enodes) 1545729235.802 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) 1545729235.802 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))))))) 1545729235.802 * * * * [misc]progress: [ 49 / 102 ] simplifiying candidate # 1545729235.802 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545729235.802 * * [misc]simplify: iters left: 6 (13 enodes) 1545729235.804 * * [misc]simplify: iters left: 5 (23 enodes) 1545729235.808 * * [misc]simplify: iters left: 4 (44 enodes) 1545729235.819 * * [misc]simplify: iters left: 3 (113 enodes) 1545729235.891 * * [misc]simplify: iters left: 2 (379 enodes) 1545729236.115 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1545729236.115 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1545729236.115 * * * * [misc]progress: [ 50 / 102 ] simplifiying candidate # 1545729236.115 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545729236.115 * * [misc]simplify: iters left: 6 (13 enodes) 1545729236.117 * * [misc]simplify: iters left: 5 (23 enodes) 1545729236.123 * * [misc]simplify: iters left: 4 (44 enodes) 1545729236.145 * * [misc]simplify: iters left: 3 (113 enodes) 1545729236.216 * * [misc]simplify: iters left: 2 (379 enodes) 1545729236.433 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1545729236.433 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1545729236.433 * * * * [misc]progress: [ 51 / 102 ] simplifiying candidate # 1545729236.434 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545729236.434 * * [misc]simplify: iters left: 6 (13 enodes) 1545729236.436 * * [misc]simplify: iters left: 5 (21 enodes) 1545729236.442 * * [misc]simplify: iters left: 4 (34 enodes) 1545729236.448 * * [misc]simplify: iters left: 3 (67 enodes) 1545729236.467 * * [misc]simplify: iters left: 2 (179 enodes) 1545729236.547 * [exit]simplify: Simplified to (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) 1545729236.547 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))))))) 1545729236.547 * * * * [misc]progress: [ 52 / 102 ] simplifiying candidate # 1545729236.547 * * * * [misc]progress: [ 53 / 102 ] simplifiying candidate # 1545729236.547 * * * * [misc]progress: [ 54 / 102 ] simplifiying candidate # 1545729236.548 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545729236.548 * * [misc]simplify: iters left: 6 (15 enodes) 1545729236.550 * * [misc]simplify: iters left: 5 (25 enodes) 1545729236.554 * * [misc]simplify: iters left: 4 (53 enodes) 1545729236.564 * * [misc]simplify: iters left: 3 (88 enodes) 1545729236.592 * * [misc]simplify: iters left: 2 (122 enodes) 1545729236.616 * * [misc]simplify: iters left: 1 (129 enodes) 1545729236.633 * [exit]simplify: Simplified to (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3) 1545729236.633 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (cbrt (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3))))) 1545729236.633 * * * * [misc]progress: [ 55 / 102 ] simplifiying candidate # 1545729236.633 * * * * [misc]progress: [ 56 / 102 ] simplifiying candidate # 1545729236.633 * * * * [misc]progress: [ 57 / 102 ] simplifiying candidate # 1545729236.634 * * * * [misc]progress: [ 58 / 102 ] simplifiying candidate # 1545729236.634 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1545729236.634 * * [misc]simplify: iters left: 5 (8 enodes) 1545729236.635 * * [misc]simplify: iters left: 4 (12 enodes) 1545729236.638 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545729236.638 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))))))) 1545729236.638 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))) 1545729236.638 * * [misc]simplify: iters left: 5 (9 enodes) 1545729236.641 * * [misc]simplify: iters left: 4 (11 enodes) 1545729236.644 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))) 1545729236.644 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))))))) 1545729236.644 * * * * [misc]progress: [ 59 / 102 ] simplifiying candidate # 1545729236.644 * * * * [misc]progress: [ 60 / 102 ] simplifiying candidate # 1545729236.645 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545729236.645 * * [misc]simplify: iters left: 5 (7 enodes) 1545729236.647 * * [misc]simplify: iters left: 4 (10 enodes) 1545729236.650 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545729236.650 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1545729236.650 * * * * [misc]progress: [ 61 / 102 ] simplifiying candidate # 1545729236.650 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545729236.650 * * [misc]simplify: iters left: 5 (7 enodes) 1545729236.652 * * [misc]simplify: iters left: 4 (10 enodes) 1545729236.655 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545729236.655 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1545729236.655 * * * * [misc]progress: [ 62 / 102 ] simplifiying candidate # 1545729236.655 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545729236.656 * * [misc]simplify: iters left: 5 (6 enodes) 1545729236.657 * * [misc]simplify: iters left: 4 (8 enodes) 1545729236.660 * * [misc]simplify: iters left: 3 (11 enodes) 1545729236.663 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545729236.663 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1545729236.663 * * * * [misc]progress: [ 63 / 102 ] simplifiying candidate # 1545729236.664 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545729236.664 * * [misc]simplify: iters left: 6 (9 enodes) 1545729236.666 * * [misc]simplify: iters left: 5 (12 enodes) 1545729236.670 * * [misc]simplify: iters left: 4 (15 enodes) 1545729236.674 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545729236.674 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545729236.674 * * * * [misc]progress: [ 64 / 102 ] simplifiying candidate # 1545729236.674 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545729236.674 * * [misc]simplify: iters left: 6 (9 enodes) 1545729236.677 * * [misc]simplify: iters left: 5 (12 enodes) 1545729236.680 * * [misc]simplify: iters left: 4 (15 enodes) 1545729236.685 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545729236.685 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545729236.685 * * * * [misc]progress: [ 65 / 102 ] simplifiying candidate # 1545729236.685 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545729236.685 * * [misc]simplify: iters left: 5 (8 enodes) 1545729236.688 * * [misc]simplify: iters left: 4 (11 enodes) 1545729236.691 * * [misc]simplify: iters left: 3 (14 enodes) 1545729236.693 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545729236.693 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) 1) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729236.693 * * * * [misc]progress: [ 66 / 102 ] simplifiying candidate # 1545729236.693 * [enter]simplify: Simplifying (pow PI 1/2) 1545729236.693 * * [misc]simplify: iters left: 1 (3 enodes) 1545729236.694 * [exit]simplify: Simplified to (sqrt PI) 1545729236.694 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545729236.694 * * * * [misc]progress: [ 67 / 102 ] simplifiying candidate # 1545729236.694 * [enter]simplify: Simplifying (pow PI 1/2) 1545729236.694 * * [misc]simplify: iters left: 1 (3 enodes) 1545729236.694 * [exit]simplify: Simplified to (sqrt PI) 1545729236.695 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545729236.695 * * * * [misc]progress: [ 68 / 102 ] simplifiying candidate # 1545729236.695 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545729236.695 * * [misc]simplify: iters left: 6 (9 enodes) 1545729236.696 * * [misc]simplify: iters left: 5 (11 enodes) 1545729236.698 * * [misc]simplify: iters left: 4 (14 enodes) 1545729236.700 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545729236.700 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545729236.700 * * * * [misc]progress: [ 69 / 102 ] simplifiying candidate # 1545729236.700 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545729236.700 * * [misc]simplify: iters left: 6 (8 enodes) 1545729236.701 * * [misc]simplify: iters left: 5 (10 enodes) 1545729236.702 * * [misc]simplify: iters left: 4 (13 enodes) 1545729236.704 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545729236.704 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545729236.704 * * * * [misc]progress: [ 70 / 102 ] simplifiying candidate # 1545729236.704 * * * * [misc]progress: [ 71 / 102 ] simplifiying candidate # 1545729236.704 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545729236.704 * * [misc]simplify: iters left: 3 (6 enodes) 1545729236.705 * * [misc]simplify: iters left: 2 (7 enodes) 1545729236.706 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545729236.706 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2)))))) 1545729236.707 * * * * [misc]progress: [ 72 / 102 ] simplifiying candidate # 1545729236.707 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729236.707 * * [misc]simplify: iters left: 6 (11 enodes) 1545729236.709 * * [misc]simplify: iters left: 5 (16 enodes) 1545729236.711 * * [misc]simplify: iters left: 4 (19 enodes) 1545729236.713 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545729236.714 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))))) 1545729236.714 * * * * [misc]progress: [ 73 / 102 ] simplifiying candidate # 1545729236.714 * * * * [misc]progress: [ 74 / 102 ] simplifiying candidate # 1545729236.714 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545729236.714 * * [misc]simplify: iters left: 6 (9 enodes) 1545729236.716 * * [misc]simplify: iters left: 5 (16 enodes) 1545729236.719 * * [misc]simplify: iters left: 4 (32 enodes) 1545729236.730 * * [misc]simplify: iters left: 3 (68 enodes) 1545729236.759 * * [misc]simplify: iters left: 2 (171 enodes) 1545729236.814 * * [misc]simplify: iters left: 1 (342 enodes) 1545729236.961 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545729236.961 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (exp (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1545729236.961 * * * * [misc]progress: [ 75 / 102 ] simplifiying candidate # 1545729236.961 * * * * [misc]progress: [ 76 / 102 ] simplifiying candidate # 1545729236.962 * [enter]simplify: Simplifying (* n 2) 1545729236.962 * * [misc]simplify: iters left: 2 (3 enodes) 1545729236.963 * * [misc]simplify: iters left: 1 (4 enodes) 1545729236.964 * [exit]simplify: Simplified to (* n 2) 1545729236.964 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (* 1 (- 1/2 (/ k 2)))))))) 1545729236.964 * * * * [misc]progress: [ 77 / 102 ] simplifiying candidate # 1545729236.964 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545729236.965 * * [misc]simplify: iters left: 3 (6 enodes) 1545729236.966 * * [misc]simplify: iters left: 2 (7 enodes) 1545729236.968 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545729236.968 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 1545729236.968 * * * * [misc]progress: [ 78 / 102 ] simplifiying candidate # 1545729236.968 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545729236.969 * * [misc]simplify: iters left: 5 (6 enodes) 1545729236.970 * * [misc]simplify: iters left: 4 (8 enodes) 1545729236.973 * * [misc]simplify: iters left: 3 (11 enodes) 1545729236.975 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545729236.976 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1545729236.976 * * * * [misc]progress: [ 79 / 102 ] simplifiying candidate # 1545729236.976 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545729236.976 * * [misc]simplify: iters left: 5 (6 enodes) 1545729236.978 * * [misc]simplify: iters left: 4 (8 enodes) 1545729236.980 * * [misc]simplify: iters left: 3 (11 enodes) 1545729236.983 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545729236.983 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1545729236.983 * * * * [misc]progress: [ 80 / 102 ] simplifiying candidate # 1545729236.984 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545729236.984 * * [misc]simplify: iters left: 4 (5 enodes) 1545729236.985 * * [misc]simplify: iters left: 3 (7 enodes) 1545729236.987 * * [misc]simplify: iters left: 2 (10 enodes) 1545729236.990 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545729236.990 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) 1) (- 1/2 (/ k 2))))))) 1545729236.990 * * * * [misc]progress: [ 81 / 102 ] simplifiying candidate # 1545729236.990 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545729236.990 * * [misc]simplify: iters left: 5 (7 enodes) 1545729236.992 * * [misc]simplify: iters left: 4 (10 enodes) 1545729236.995 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545729236.995 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1545729236.995 * * * * [misc]progress: [ 82 / 102 ] simplifiying candidate # 1545729236.995 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545729236.995 * * [misc]simplify: iters left: 5 (7 enodes) 1545729236.998 * * [misc]simplify: iters left: 4 (10 enodes) 1545729237.001 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545729237.001 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1545729237.001 * * * * [misc]progress: [ 83 / 102 ] simplifiying candidate # 1545729237.001 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545729237.001 * * [misc]simplify: iters left: 5 (7 enodes) 1545729237.003 * * [misc]simplify: iters left: 4 (9 enodes) 1545729237.006 * * [misc]simplify: iters left: 3 (12 enodes) 1545729237.009 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545729237.009 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1545729237.009 * * * * [misc]progress: [ 84 / 102 ] simplifiying candidate # 1545729237.009 * * * * [misc]progress: [ 85 / 102 ] simplifiying candidate # 1545729237.009 * * * * [misc]progress: [ 86 / 102 ] simplifiying candidate # 1545729237.010 * * * * [misc]progress: [ 87 / 102 ] simplifiying candidate # 1545729237.010 * * * * [misc]progress: [ 88 / 102 ] simplifiying candidate # 1545729237.010 * * * * [misc]progress: [ 89 / 102 ] simplifiying candidate # 1545729237.010 * * * * [misc]progress: [ 90 / 102 ] simplifiying candidate # 1545729237.010 * * * * [misc]progress: [ 91 / 102 ] simplifiying candidate # 1545729237.010 * [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)))) 1545729237.010 * * [misc]simplify: iters left: 6 (18 enodes) 1545729237.017 * * [misc]simplify: iters left: 5 (39 enodes) 1545729237.027 * * [misc]simplify: iters left: 4 (104 enodes) 1545729237.049 * * [misc]simplify: iters left: 3 (275 enodes) 1545729237.167 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1545729237.167 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729237.167 * * * * [misc]progress: [ 92 / 102 ] simplifiying candidate # 1545729237.167 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545729237.167 * * [misc]simplify: iters left: 5 (6 enodes) 1545729237.168 * * [misc]simplify: iters left: 4 (9 enodes) 1545729237.170 * * [misc]simplify: iters left: 3 (17 enodes) 1545729237.173 * * [misc]simplify: iters left: 2 (20 enodes) 1545729237.175 * * [misc]simplify: iters left: 1 (24 enodes) 1545729237.180 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545729237.180 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (* k 1/2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729237.180 * * * * [misc]progress: [ 93 / 102 ] simplifiying candidate # 1545729237.181 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545729237.181 * * [misc]simplify: iters left: 5 (6 enodes) 1545729237.182 * * [misc]simplify: iters left: 4 (9 enodes) 1545729237.184 * * [misc]simplify: iters left: 3 (17 enodes) 1545729237.188 * * [misc]simplify: iters left: 2 (20 enodes) 1545729237.193 * * [misc]simplify: iters left: 1 (24 enodes) 1545729237.203 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545729237.203 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (* k 1/2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729237.204 * * * * [misc]progress: [ 94 / 102 ] simplifiying candidate # 1545729237.204 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1545729237.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545729237.204 * * * * [misc]progress: [ 95 / 102 ] simplifiying candidate # 1545729237.204 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1545729237.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545729237.205 * * * * [misc]progress: [ 96 / 102 ] simplifiying candidate # 1545729237.205 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (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))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1545729237.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545729237.205 * * * * [misc]progress: [ 97 / 102 ] simplifiying candidate # 1545729237.205 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545729237.205 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 1545729237.205 * * * * [misc]progress: [ 98 / 102 ] simplifiying candidate # 1545729237.206 * [enter]simplify: Simplifying (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545729237.206 * * [misc]simplify: iters left: 6 (16 enodes) 1545729237.212 * * [misc]simplify: iters left: 5 (31 enodes) 1545729237.222 * * [misc]simplify: iters left: 4 (57 enodes) 1545729237.240 * * [misc]simplify: iters left: 3 (120 enodes) 1545729237.277 * * [misc]simplify: iters left: 2 (374 enodes) 1545729237.584 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1545729237.584 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))))) 1545729237.584 * * * * [misc]progress: [ 99 / 102 ] simplifiying candidate # 1545729237.585 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545729237.585 * * [misc]simplify: iters left: 6 (16 enodes) 1545729237.591 * * [misc]simplify: iters left: 5 (28 enodes) 1545729237.601 * * [misc]simplify: iters left: 4 (58 enodes) 1545729237.623 * * [misc]simplify: iters left: 3 (147 enodes) 1545729237.690 * [exit]simplify: Simplified to (* (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (pow PI (- 1/2 (* 1/2 k)))) 1545729237.690 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (pow PI (- 1/2 (* 1/2 k))))))) 1545729237.690 * * * * [misc]progress: [ 100 / 102 ] simplifiying candidate # 1545729237.690 * [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))))) 1545729237.691 * * [misc]simplify: iters left: 6 (35 enodes) 1545729237.704 * * [misc]simplify: iters left: 5 (99 enodes) 1545729237.725 * * [misc]simplify: iters left: 4 (298 enodes) 1545729237.901 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1545729237.901 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))))))) 1545729237.901 * * * * [misc]progress: [ 101 / 102 ] simplifiying candidate # 1545729237.901 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545729237.901 * * [misc]simplify: iters left: 6 (13 enodes) 1545729237.907 * * [misc]simplify: iters left: 5 (27 enodes) 1545729237.915 * * [misc]simplify: iters left: 4 (53 enodes) 1545729237.932 * * [misc]simplify: iters left: 3 (116 enodes) 1545729237.962 * * [misc]simplify: iters left: 2 (362 enodes) 1545729238.217 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1545729238.217 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (sqrt (* n 2)) (- 1 k)))))) 1545729238.217 * * * * [misc]progress: [ 102 / 102 ] simplifiying candidate # 1545729238.218 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545729238.218 * * [misc]simplify: iters left: 6 (13 enodes) 1545729238.220 * * [misc]simplify: iters left: 5 (24 enodes) 1545729238.225 * * [misc]simplify: iters left: 4 (54 enodes) 1545729238.236 * * [misc]simplify: iters left: 3 (143 enodes) 1545729238.285 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1545729238.285 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))))))) 1545729238.285 * * * [misc]progress: adding candidates to table 1545729239.949 * * [misc]progress: iteration 4 / 4 1545729239.949 * * * [misc]progress: picking best candidate 1545729240.020 * * * * [misc]pick: Picked # 1545729240.021 * * * [misc]progress: localizing error 1545729240.052 * * * [misc]progress: generating rewritten candidates 1545729240.052 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1 2) 1545729240.059 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 2) 1545729240.060 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1 2 2) 1545729240.060 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1 2 1) 1545729240.061 * * * [misc]progress: generating series expansions 1545729240.061 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1 2) 1545729240.062 * [misc]backup-simplify: Simplify (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) into (pow (pow (- 1/2 (* 1/2 k)) 2) 1/3) 1545729240.062 * [misc]approximate: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 k)) 2) 1/3) in (k) around 0 1545729240.062 * [misc]taylor: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 k)) 2) 1/3) in k 1545729240.062 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 k)) 2)))) in k 1545729240.062 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 k)) 2))) in k 1545729240.062 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.062 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.062 * [misc]taylor: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 k)) 2)) in k 1545729240.062 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 2) in k 1545729240.062 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729240.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.062 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729240.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.062 * [misc]taylor: Taking taylor expansion of k in k 1545729240.062 * [misc]backup-simplify: Simplify 0 into 0 1545729240.062 * [misc]backup-simplify: Simplify 1 into 1 1545729240.062 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729240.062 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.062 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.062 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 1545729240.063 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545729240.063 * [misc]backup-simplify: Simplify (* 1/3 (log 1/4)) into (* 1/3 (log 1/4)) 1545729240.063 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/4))) into (pow 1/4 1/3) 1545729240.063 * [misc]taylor: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 k)) 2) 1/3) in k 1545729240.063 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 k)) 2)))) in k 1545729240.063 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 k)) 2))) in k 1545729240.063 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.063 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.063 * [misc]taylor: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 k)) 2)) in k 1545729240.063 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 2) in k 1545729240.063 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729240.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.063 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729240.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.063 * [misc]taylor: Taking taylor expansion of k in k 1545729240.063 * [misc]backup-simplify: Simplify 0 into 0 1545729240.063 * [misc]backup-simplify: Simplify 1 into 1 1545729240.063 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729240.064 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.064 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.064 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 1545729240.064 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545729240.064 * [misc]backup-simplify: Simplify (* 1/3 (log 1/4)) into (* 1/3 (log 1/4)) 1545729240.064 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/4))) into (pow 1/4 1/3) 1545729240.065 * [misc]backup-simplify: Simplify (pow 1/4 1/3) into (pow 1/4 1/3) 1545729240.065 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729240.065 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.065 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.065 * [misc]backup-simplify: Simplify (+ (* 1/2 -1/2) (* -1/2 1/2)) into -1/2 1545729240.067 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/4 1)))) 1) into -2 1545729240.067 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (log 1/4))) into -2/3 1545729240.068 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/4))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow 1/4 1/3)) 1545729240.068 * [misc]backup-simplify: Simplify (* -2/3 (pow 1/4 1/3)) into (* -2/3 (pow 1/4 1/3)) 1545729240.068 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729240.068 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.069 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 -1/2) (* 0 1/2))) into 1/4 1545729240.071 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/4 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow 1/4 1)))) 2) into -1 1545729240.071 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (log 1/4)))) into -1/3 1545729240.073 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/4))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into (* -1/9 (pow 1/4 1/3)) 1545729240.073 * [misc]backup-simplify: Simplify (* -1/9 (pow 1/4 1/3)) into (* -1/9 (pow 1/4 1/3)) 1545729240.074 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow 1/4 1/3)) (pow k 2)) (+ (* (* -2/3 (pow 1/4 1/3)) k) (pow 1/4 1/3))) into (- (pow 1/4 1/3) (+ (* 2/3 (* (pow 1/4 1/3) k)) (* 1/9 (* (pow 1/4 1/3) (pow k 2))))) 1545729240.074 * [misc]backup-simplify: Simplify (* (cbrt (- 1/2 (/ (/ 1 k) 2))) (cbrt (- 1/2 (/ (/ 1 k) 2)))) into (pow (pow (- 1/2 (* 1/2 (/ 1 k))) 2) 1/3) 1545729240.074 * [misc]approximate: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 k))) 2) 1/3) in (k) around 0 1545729240.074 * [misc]taylor: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 k))) 2) 1/3) in k 1545729240.074 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2)))) in k 1545729240.074 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2))) in k 1545729240.074 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.074 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.074 * [misc]taylor: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2)) in k 1545729240.074 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 2) in k 1545729240.074 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729240.074 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.075 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.075 * [misc]taylor: Taking taylor expansion of k in k 1545729240.075 * [misc]backup-simplify: Simplify 0 into 0 1545729240.075 * [misc]backup-simplify: Simplify 1 into 1 1545729240.075 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.075 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.075 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.075 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.075 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 1545729240.075 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545729240.075 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545729240.076 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/4) (* 2 (log k)))) into (* 1/3 (- (log 1/4) (* 2 (log k)))) 1545729240.076 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545729240.076 * [misc]taylor: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 k))) 2) 1/3) in k 1545729240.076 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2)))) in k 1545729240.076 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2))) in k 1545729240.076 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.076 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.076 * [misc]taylor: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2)) in k 1545729240.076 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 2) in k 1545729240.076 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729240.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.076 * [misc]taylor: Taking taylor expansion of k in k 1545729240.076 * [misc]backup-simplify: Simplify 0 into 0 1545729240.076 * [misc]backup-simplify: Simplify 1 into 1 1545729240.076 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.076 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.076 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.076 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.077 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 1545729240.077 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545729240.077 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545729240.077 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/4) (* 2 (log k)))) into (* 1/3 (- (log 1/4) (* 2 (log k)))) 1545729240.077 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545729240.077 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545729240.078 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729240.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545729240.078 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.078 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.078 * [misc]backup-simplify: Simplify (+ (* -1/2 1/2) (* 1/2 -1/2)) into -1/2 1545729240.080 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/4 1)))) 1) into -2 1545729240.080 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545729240.080 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (- (log 1/4) (* 2 (log k))))) into (- 2/3) 1545729240.081 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545729240.081 * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) into (* -2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545729240.081 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729240.082 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545729240.082 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.082 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.082 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 1/2) (* 0 -1/2))) into 1/4 1545729240.084 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/4 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow 1/4 1)))) 2) into -1 1545729240.085 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545729240.085 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (log 1/4) (* 2 (log k)))))) into (- 1/3) 1545729240.086 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545729240.087 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) into (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545729240.087 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k))))))) (pow (/ 1 k) 2)) (+ (* (* -2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k))))))) (/ 1 k)) (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))))) into (- (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) (pow k 2))) (* 2/3 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) k)))) 1545729240.088 * [misc]backup-simplify: Simplify (* (cbrt (- 1/2 (/ (/ 1 (- k)) 2))) (cbrt (- 1/2 (/ (/ 1 (- k)) 2)))) into (pow (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) 1/3) 1545729240.088 * [misc]approximate: Taking taylor expansion of (pow (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) 1/3) in (k) around 0 1545729240.088 * [misc]taylor: Taking taylor expansion of (pow (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) 1/3) in k 1545729240.088 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2)))) in k 1545729240.088 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2))) in k 1545729240.088 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.088 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.088 * [misc]taylor: Taking taylor expansion of (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2)) in k 1545729240.088 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) in k 1545729240.088 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729240.088 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.088 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.088 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.088 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.088 * [misc]taylor: Taking taylor expansion of k in k 1545729240.088 * [misc]backup-simplify: Simplify 0 into 0 1545729240.088 * [misc]backup-simplify: Simplify 1 into 1 1545729240.088 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.088 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.088 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.088 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.088 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.088 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 1545729240.088 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545729240.089 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545729240.089 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/4) (* 2 (log k)))) into (* 1/3 (- (log 1/4) (* 2 (log k)))) 1545729240.089 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545729240.089 * [misc]taylor: Taking taylor expansion of (pow (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) 1/3) in k 1545729240.089 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2)))) in k 1545729240.089 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2))) in k 1545729240.089 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.089 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.089 * [misc]taylor: Taking taylor expansion of (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2)) in k 1545729240.089 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) in k 1545729240.089 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729240.089 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.089 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.089 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.089 * [misc]taylor: Taking taylor expansion of k in k 1545729240.089 * [misc]backup-simplify: Simplify 0 into 0 1545729240.089 * [misc]backup-simplify: Simplify 1 into 1 1545729240.089 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.089 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.090 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.090 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.090 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 1545729240.090 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545729240.090 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545729240.090 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/4) (* 2 (log k)))) into (* 1/3 (- (log 1/4) (* 2 (log k)))) 1545729240.090 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545729240.091 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545729240.091 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729240.091 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545729240.091 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545729240.091 * [misc]backup-simplify: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 1545729240.094 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/4 1)))) 1) into 2 1545729240.094 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545729240.095 * [misc]backup-simplify: Simplify (+ (* 1/3 2) (* 0 (- (log 1/4) (* 2 (log k))))) into 2/3 1545729240.101 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545729240.101 * [misc]backup-simplify: Simplify (* 2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) into (* 2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545729240.102 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729240.102 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545729240.102 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.102 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 1545729240.107 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/4 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow 1/4 1)))) 2) into -1 1545729240.107 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545729240.108 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (log 1/4) (* 2 (log k)))))) into (- 1/3) 1545729240.110 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545729240.110 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) into (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545729240.111 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 (- k)))))))) (pow (/ 1 (- k)) 2)) (+ (* (* 2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 (- k)))))))) (/ 1 (- k))) (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 (- k))))))))) into (- (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) (pow k 2))) (* 2/3 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) k)))) 1545729240.111 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 2) 1545729240.112 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ k 2))) into (pow (- 1/2 (* 1/2 k)) 1/3) 1545729240.112 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in (k) around 0 1545729240.112 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545729240.112 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545729240.112 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545729240.112 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.112 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.112 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545729240.112 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729240.112 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.112 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729240.112 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.112 * [misc]taylor: Taking taylor expansion of k in k 1545729240.112 * [misc]backup-simplify: Simplify 0 into 0 1545729240.112 * [misc]backup-simplify: Simplify 1 into 1 1545729240.112 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729240.112 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.112 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.113 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.113 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545729240.113 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545729240.113 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545729240.114 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545729240.114 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545729240.114 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.114 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.114 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545729240.114 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729240.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.114 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729240.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.114 * [misc]taylor: Taking taylor expansion of k in k 1545729240.114 * [misc]backup-simplify: Simplify 0 into 0 1545729240.114 * [misc]backup-simplify: Simplify 1 into 1 1545729240.114 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729240.114 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.114 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.115 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.115 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545729240.115 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545729240.116 * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) 1545729240.116 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729240.116 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.116 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.119 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/2 1)))) 1) into -1 1545729240.119 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log 1/2))) into -1/3 1545729240.121 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow 1/2 1/3)) 1545729240.121 * [misc]backup-simplify: Simplify (* -1/3 (pow 1/2 1/3)) into (* -1/3 (pow 1/2 1/3)) 1545729240.122 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729240.122 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.122 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.126 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545729240.126 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log 1/2)))) into -1/6 1545729240.129 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow 1/2 1/3)) 1545729240.129 * [misc]backup-simplify: Simplify (* -1/9 (pow 1/2 1/3)) into (* -1/9 (pow 1/2 1/3)) 1545729240.131 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow 1/2 1/3)) (pow k 2)) (+ (* (* -1/3 (pow 1/2 1/3)) k) (pow 1/2 1/3))) into (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545729240.131 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 k) 2))) into (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) 1545729240.131 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in (k) around 0 1545729240.131 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545729240.131 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545729240.131 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545729240.131 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.131 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.131 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729240.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729240.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.132 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.132 * [misc]taylor: Taking taylor expansion of k in k 1545729240.132 * [misc]backup-simplify: Simplify 0 into 0 1545729240.132 * [misc]backup-simplify: Simplify 1 into 1 1545729240.132 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.132 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.132 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.132 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.132 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545729240.133 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.133 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545729240.133 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545729240.133 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545729240.133 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545729240.133 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545729240.133 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.133 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.133 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729240.133 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729240.134 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.134 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.134 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.134 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.134 * [misc]taylor: Taking taylor expansion of k in k 1545729240.134 * [misc]backup-simplify: Simplify 0 into 0 1545729240.134 * [misc]backup-simplify: Simplify 1 into 1 1545729240.134 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.134 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.134 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.134 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.135 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545729240.135 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.135 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545729240.135 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545729240.136 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545729240.136 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729240.136 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545729240.136 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.137 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.139 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/2 1)))) 1) into -1 1545729240.139 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.140 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1/2) (log k)))) into (- 1/3) 1545729240.141 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.142 * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.142 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729240.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545729240.142 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.142 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.147 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into -1/2 1545729240.147 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.147 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1/2) (log k))))) into (- 1/6) 1545729240.150 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.150 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.151 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (pow (/ 1 k) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (/ 1 k)) (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))))) into (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545729240.151 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) 1545729240.151 * [misc]approximate: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in (k) around 0 1545729240.151 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545729240.151 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545729240.151 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545729240.151 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.152 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.152 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729240.152 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729240.152 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.152 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.152 * [misc]taylor: Taking taylor expansion of k in k 1545729240.152 * [misc]backup-simplify: Simplify 0 into 0 1545729240.152 * [misc]backup-simplify: Simplify 1 into 1 1545729240.152 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.152 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.152 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.152 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.153 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.153 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545729240.153 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545729240.153 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545729240.153 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545729240.153 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545729240.153 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.153 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.153 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729240.154 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729240.154 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.154 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.154 * [misc]taylor: Taking taylor expansion of k in k 1545729240.154 * [misc]backup-simplify: Simplify 0 into 0 1545729240.154 * [misc]backup-simplify: Simplify 1 into 1 1545729240.154 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.154 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.155 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.155 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.155 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.156 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545729240.156 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545729240.156 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545729240.157 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729240.157 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545729240.157 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545729240.159 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/2 1)))) 1) into 1 1545729240.160 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.160 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log 1/2) (log k)))) into 1/3 1545729240.162 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.162 * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.162 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729240.163 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545729240.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.167 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545729240.167 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.168 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log 1/2) (log k))))) into (- 1/6) 1545729240.169 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.169 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.170 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (pow (/ 1 (- k)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (/ 1 (- k))) (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k)))))))) into (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545729240.170 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1 2 2) 1545729240.170 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ k 2))) into (pow (- 1/2 (* 1/2 k)) 1/3) 1545729240.170 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in (k) around 0 1545729240.170 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545729240.170 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545729240.170 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545729240.170 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.170 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.170 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545729240.170 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729240.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.170 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729240.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.170 * [misc]taylor: Taking taylor expansion of k in k 1545729240.171 * [misc]backup-simplify: Simplify 0 into 0 1545729240.171 * [misc]backup-simplify: Simplify 1 into 1 1545729240.171 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729240.171 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.171 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.171 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.171 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545729240.171 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545729240.171 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545729240.172 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545729240.172 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545729240.172 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.172 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.172 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545729240.172 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729240.172 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.172 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729240.172 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.172 * [misc]taylor: Taking taylor expansion of k in k 1545729240.172 * [misc]backup-simplify: Simplify 0 into 0 1545729240.172 * [misc]backup-simplify: Simplify 1 into 1 1545729240.172 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729240.172 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.172 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.172 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.172 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545729240.173 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545729240.173 * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) 1545729240.173 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729240.173 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.173 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.175 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/2 1)))) 1) into -1 1545729240.175 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log 1/2))) into -1/3 1545729240.176 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow 1/2 1/3)) 1545729240.176 * [misc]backup-simplify: Simplify (* -1/3 (pow 1/2 1/3)) into (* -1/3 (pow 1/2 1/3)) 1545729240.176 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729240.177 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.177 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.179 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545729240.179 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log 1/2)))) into -1/6 1545729240.181 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow 1/2 1/3)) 1545729240.181 * [misc]backup-simplify: Simplify (* -1/9 (pow 1/2 1/3)) into (* -1/9 (pow 1/2 1/3)) 1545729240.182 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow 1/2 1/3)) (pow k 2)) (+ (* (* -1/3 (pow 1/2 1/3)) k) (pow 1/2 1/3))) into (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545729240.182 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 k) 2))) into (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) 1545729240.182 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in (k) around 0 1545729240.182 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545729240.182 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545729240.182 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545729240.182 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.182 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.182 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729240.182 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729240.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.182 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.182 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.182 * [misc]taylor: Taking taylor expansion of k in k 1545729240.182 * [misc]backup-simplify: Simplify 0 into 0 1545729240.182 * [misc]backup-simplify: Simplify 1 into 1 1545729240.183 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.183 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.183 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.183 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.183 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545729240.183 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.183 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545729240.184 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545729240.184 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545729240.184 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545729240.184 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545729240.184 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.184 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.184 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729240.184 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729240.184 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.184 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.184 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.184 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.184 * [misc]taylor: Taking taylor expansion of k in k 1545729240.184 * [misc]backup-simplify: Simplify 0 into 0 1545729240.184 * [misc]backup-simplify: Simplify 1 into 1 1545729240.184 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.184 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.184 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.184 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.184 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545729240.185 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.185 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545729240.185 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545729240.185 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545729240.185 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729240.185 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545729240.185 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.186 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.187 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/2 1)))) 1) into -1 1545729240.187 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.188 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1/2) (log k)))) into (- 1/3) 1545729240.188 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.189 * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.189 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729240.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545729240.189 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.192 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into -1/2 1545729240.192 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.192 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1/2) (log k))))) into (- 1/6) 1545729240.194 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.194 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.194 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (pow (/ 1 k) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (/ 1 k)) (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))))) into (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545729240.195 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) 1545729240.195 * [misc]approximate: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in (k) around 0 1545729240.195 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545729240.195 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545729240.195 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545729240.195 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.195 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.195 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729240.195 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729240.195 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.195 * [misc]taylor: Taking taylor expansion of k in k 1545729240.195 * [misc]backup-simplify: Simplify 0 into 0 1545729240.195 * [misc]backup-simplify: Simplify 1 into 1 1545729240.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.195 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.195 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.195 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.196 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.196 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545729240.196 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545729240.196 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545729240.196 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545729240.196 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545729240.196 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.196 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.196 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729240.196 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729240.196 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.196 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.197 * [misc]taylor: Taking taylor expansion of k in k 1545729240.197 * [misc]backup-simplify: Simplify 0 into 0 1545729240.197 * [misc]backup-simplify: Simplify 1 into 1 1545729240.197 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.197 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.197 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.197 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.197 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.198 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.198 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545729240.198 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545729240.198 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545729240.199 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729240.199 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545729240.199 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545729240.202 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/2 1)))) 1) into 1 1545729240.202 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.202 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log 1/2) (log k)))) into 1/3 1545729240.204 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.204 * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.204 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729240.205 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545729240.205 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.209 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545729240.210 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.210 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log 1/2) (log k))))) into (- 1/6) 1545729240.212 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.213 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.214 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (pow (/ 1 (- k)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (/ 1 (- k))) (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k)))))))) into (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545729240.214 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1 2 1) 1545729240.214 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ k 2))) into (pow (- 1/2 (* 1/2 k)) 1/3) 1545729240.214 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in (k) around 0 1545729240.214 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545729240.214 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545729240.214 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545729240.214 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.214 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.214 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545729240.215 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729240.215 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.215 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729240.215 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.215 * [misc]taylor: Taking taylor expansion of k in k 1545729240.215 * [misc]backup-simplify: Simplify 0 into 0 1545729240.215 * [misc]backup-simplify: Simplify 1 into 1 1545729240.215 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729240.215 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.215 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.215 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.216 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545729240.216 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545729240.216 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545729240.216 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545729240.216 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545729240.216 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.216 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.216 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545729240.216 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545729240.217 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.217 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545729240.217 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.217 * [misc]taylor: Taking taylor expansion of k in k 1545729240.217 * [misc]backup-simplify: Simplify 0 into 0 1545729240.217 * [misc]backup-simplify: Simplify 1 into 1 1545729240.217 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545729240.217 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.217 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.217 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.218 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545729240.218 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545729240.219 * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) 1545729240.219 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545729240.219 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.219 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.222 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/2 1)))) 1) into -1 1545729240.222 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log 1/2))) into -1/3 1545729240.224 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow 1/2 1/3)) 1545729240.224 * [misc]backup-simplify: Simplify (* -1/3 (pow 1/2 1/3)) into (* -1/3 (pow 1/2 1/3)) 1545729240.225 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545729240.225 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.229 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545729240.229 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log 1/2)))) into -1/6 1545729240.232 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow 1/2 1/3)) 1545729240.232 * [misc]backup-simplify: Simplify (* -1/9 (pow 1/2 1/3)) into (* -1/9 (pow 1/2 1/3)) 1545729240.234 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow 1/2 1/3)) (pow k 2)) (+ (* (* -1/3 (pow 1/2 1/3)) k) (pow 1/2 1/3))) into (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545729240.234 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 k) 2))) into (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) 1545729240.234 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in (k) around 0 1545729240.234 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545729240.234 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545729240.234 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545729240.234 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.234 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.234 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729240.234 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729240.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.234 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.234 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.234 * [misc]taylor: Taking taylor expansion of k in k 1545729240.234 * [misc]backup-simplify: Simplify 0 into 0 1545729240.234 * [misc]backup-simplify: Simplify 1 into 1 1545729240.235 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.235 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.235 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.235 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.235 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545729240.236 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.236 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545729240.236 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545729240.236 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545729240.236 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545729240.236 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545729240.236 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.236 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.236 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545729240.236 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545729240.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.236 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.236 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.236 * [misc]taylor: Taking taylor expansion of k in k 1545729240.236 * [misc]backup-simplify: Simplify 0 into 0 1545729240.237 * [misc]backup-simplify: Simplify 1 into 1 1545729240.237 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.237 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.237 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545729240.237 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545729240.237 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545729240.238 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.238 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545729240.238 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545729240.238 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545729240.239 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729240.239 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545729240.239 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.239 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.242 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/2 1)))) 1) into -1 1545729240.242 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.242 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1/2) (log k)))) into (- 1/3) 1545729240.244 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.244 * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.244 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729240.245 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545729240.245 * [misc]backup-simplify: Simplify (- 0) into 0 1545729240.245 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.250 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into -1/2 1545729240.251 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545729240.251 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1/2) (log k))))) into (- 1/6) 1545729240.254 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.254 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545729240.255 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (pow (/ 1 k) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (/ 1 k)) (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))))) into (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545729240.256 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) 1545729240.256 * [misc]approximate: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in (k) around 0 1545729240.256 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545729240.256 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545729240.256 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545729240.256 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.256 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.256 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729240.256 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729240.256 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.256 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.256 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.256 * [misc]taylor: Taking taylor expansion of k in k 1545729240.256 * [misc]backup-simplify: Simplify 0 into 0 1545729240.256 * [misc]backup-simplify: Simplify 1 into 1 1545729240.256 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.256 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.257 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.257 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.257 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.257 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.258 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545729240.258 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545729240.258 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545729240.258 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545729240.258 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545729240.258 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545729240.258 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545729240.258 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545729240.258 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545729240.258 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545729240.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.258 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545729240.258 * [misc]taylor: Taking taylor expansion of k in k 1545729240.258 * [misc]backup-simplify: Simplify 0 into 0 1545729240.258 * [misc]backup-simplify: Simplify 1 into 1 1545729240.259 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545729240.259 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545729240.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545729240.259 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545729240.259 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545729240.259 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545729240.259 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.260 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545729240.260 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545729240.260 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545729240.260 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545729240.261 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545729240.261 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545729240.263 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/2 1)))) 1) into 1 1545729240.264 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.264 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log 1/2) (log k)))) into 1/3 1545729240.266 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.266 * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.266 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545729240.267 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545729240.267 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545729240.271 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545729240.271 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545729240.272 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log 1/2) (log k))))) into (- 1/6) 1545729240.274 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.274 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545729240.275 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (pow (/ 1 (- k)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (/ 1 (- k))) (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k)))))))) into (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545729240.276 * * * [misc]progress: simplifying candidates 1545729240.276 * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # 1545729240.276 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545729240.276 * * [misc]simplify: iters left: 4 (5 enodes) 1545729240.277 * * [misc]simplify: iters left: 3 (7 enodes) 1545729240.279 * * [misc]simplify: iters left: 2 (10 enodes) 1545729240.282 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545729240.282 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (- 1/2 (/ k 2)) (+ 1/3 1/3))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.282 * [enter]simplify: Simplifying (+ 1/3 1/3) 1545729240.282 * * [misc]simplify: iters left: 2 (2 enodes) 1545729240.284 * * [misc]simplify: iters left: 1 (3 enodes) 1545729240.284 * [exit]simplify: Simplified to 2/3 1545729240.284 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (- 1/2 (/ k 2)) 2/3)) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.284 * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # 1545729240.285 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545729240.285 * * [misc]simplify: iters left: 5 (6 enodes) 1545729240.286 * * [misc]simplify: iters left: 4 (8 enodes) 1545729240.288 * * [misc]simplify: iters left: 3 (11 enodes) 1545729240.291 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545729240.291 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (cbrt (- 1/2 (/ k 2))) (+ 1 1))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.292 * [enter]simplify: Simplifying (+ 1 1) 1545729240.292 * * [misc]simplify: iters left: 2 (2 enodes) 1545729240.293 * * [misc]simplify: iters left: 1 (5 enodes) 1545729240.294 * [exit]simplify: Simplified to 2 1545729240.294 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (cbrt (- 1/2 (/ k 2))) 2)) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.294 * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # 1545729240.294 * [enter]simplify: Simplifying (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1545729240.295 * * [misc]simplify: iters left: 6 (6 enodes) 1545729240.296 * * [misc]simplify: iters left: 5 (8 enodes) 1545729240.299 * * [misc]simplify: iters left: 4 (17 enodes) 1545729240.305 * * [misc]simplify: iters left: 3 (40 enodes) 1545729240.320 * * [misc]simplify: iters left: 2 (94 enodes) 1545729240.356 * * [misc]simplify: iters left: 1 (186 enodes) 1545729240.422 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1545729240.422 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1/3)) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.422 * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # 1545729240.423 * [enter]simplify: Simplifying (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1545729240.423 * * [misc]simplify: iters left: 6 (7 enodes) 1545729240.425 * * [misc]simplify: iters left: 5 (9 enodes) 1545729240.427 * * [misc]simplify: iters left: 4 (12 enodes) 1545729240.431 * [exit]simplify: Simplified to (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1545729240.431 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1)) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.431 * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # 1545729240.431 * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # 1545729240.431 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545729240.431 * * [misc]simplify: iters left: 5 (6 enodes) 1545729240.433 * * [misc]simplify: iters left: 4 (8 enodes) 1545729240.436 * * [misc]simplify: iters left: 3 (11 enodes) 1545729240.438 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545729240.439 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (cbrt (- 1/2 (/ k 2))) (+ 1 1))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.439 * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # 1545729240.439 * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # 1545729240.439 * [enter]simplify: Simplifying (+ (log (cbrt (- 1/2 (/ k 2)))) (log (cbrt (- 1/2 (/ k 2))))) 1545729240.439 * * [misc]simplify: iters left: 6 (8 enodes) 1545729240.441 * * [misc]simplify: iters left: 5 (10 enodes) 1545729240.444 * * [misc]simplify: iters left: 4 (13 enodes) 1545729240.448 * [exit]simplify: Simplified to (+ (log (cbrt (- 1/2 (/ k 2)))) (log (cbrt (- 1/2 (/ k 2))))) 1545729240.448 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (exp (+ (log (cbrt (- 1/2 (/ k 2)))) (log (cbrt (- 1/2 (/ k 2))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.448 * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # 1545729240.448 * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # 1545729240.448 * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # 1545729240.448 * [enter]simplify: Simplifying (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1545729240.448 * * [misc]simplify: iters left: 6 (6 enodes) 1545729240.450 * * [misc]simplify: iters left: 5 (8 enodes) 1545729240.453 * * [misc]simplify: iters left: 4 (17 enodes) 1545729240.459 * * [misc]simplify: iters left: 3 (40 enodes) 1545729240.473 * * [misc]simplify: iters left: 2 (94 enodes) 1545729240.492 * * [misc]simplify: iters left: 1 (186 enodes) 1545729240.554 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1545729240.554 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (cbrt (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.554 * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # 1545729240.554 * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # 1545729240.554 * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # 1545729240.554 * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # 1545729240.554 * [enter]simplify: Simplifying (* (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) (cbrt (- (pow 1/2 3) (pow (/ k 2) 3)))) 1545729240.555 * * [misc]simplify: iters left: 6 (10 enodes) 1545729240.560 * * [misc]simplify: iters left: 5 (24 enodes) 1545729240.566 * * [misc]simplify: iters left: 4 (43 enodes) 1545729240.580 * * [misc]simplify: iters left: 3 (88 enodes) 1545729240.605 * * [misc]simplify: iters left: 2 (158 enodes) 1545729240.636 * * [misc]simplify: iters left: 1 (271 enodes) 1545729240.739 * [exit]simplify: Simplified to (* (cbrt (- 1/8 (* (* k k) (/ k 8)))) (cbrt (- 1/8 (* (* k k) (/ k 8))))) 1545729240.739 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/8 (* (* k k) (/ k 8)))) (cbrt (- 1/8 (* (* k k) (/ k 8))))) (* (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.740 * [enter]simplify: Simplifying (* (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))) 1545729240.740 * * [misc]simplify: iters left: 6 (11 enodes) 1545729240.745 * * [misc]simplify: iters left: 5 (25 enodes) 1545729240.753 * * [misc]simplify: iters left: 4 (49 enodes) 1545729240.768 * * [misc]simplify: iters left: 3 (71 enodes) 1545729240.790 * * [misc]simplify: iters left: 2 (84 enodes) 1545729240.809 * * [misc]simplify: iters left: 1 (104 enodes) 1545729240.844 * [exit]simplify: Simplified to (* (cbrt (+ (* 1/4 (* k k)) (+ 1/4 (* k 1/4)))) (cbrt (+ (* 1/4 (* k k)) (+ 1/4 (* k 1/4))))) 1545729240.844 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) (cbrt (- (pow 1/2 3) (pow (/ k 2) 3)))) (* (cbrt (+ (* 1/4 (* k k)) (+ 1/4 (* k 1/4)))) (cbrt (+ (* 1/4 (* k k)) (+ 1/4 (* k 1/4))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729240.844 * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # 1545729240.845 * [enter]simplify: Simplifying (* (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2))))) 1545729240.845 * * [misc]simplify: iters left: 6 (14 enodes) 1545729240.852 * * [misc]simplify: iters left: 5 (36 enodes) 1545729240.862 * * [misc]simplify: iters left: 4 (74 enodes) 1545729240.884 * * [misc]simplify: iters left: 3 (142 enodes) 1545729240.936 * * [misc]simplify: iters left: 2 (276 enodes) 1545729241.083 * [exit]simplify: Simplified to (* (cbrt (- 1/4 (* (/ k 4) k))) (cbrt (- 1/8 (* (/ k 8) (* k k))))) 1545729241.083 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/4 (* (/ k 4) k))) (cbrt (- 1/8 (* (/ k 8) (* k k))))) (* (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) (cbrt (+ 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.084 * [enter]simplify: Simplifying (* (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) (cbrt (+ 1/2 (/ k 2)))) 1545729241.084 * * [misc]simplify: iters left: 6 (13 enodes) 1545729241.089 * * [misc]simplify: iters left: 5 (28 enodes) 1545729241.097 * * [misc]simplify: iters left: 4 (47 enodes) 1545729241.111 * * [misc]simplify: iters left: 3 (63 enodes) 1545729241.126 * * [misc]simplify: iters left: 2 (72 enodes) 1545729241.140 * * [misc]simplify: iters left: 1 (78 enodes) 1545729241.158 * [exit]simplify: Simplified to (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ (/ (* k k) 4) (+ 1/4 (* k 1/4))))) 1545729241.158 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/4 (* (/ k 4) k))) (cbrt (- 1/8 (* (/ k 8) (* k k))))) (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ (/ (* k k) 4) (+ 1/4 (* k 1/4))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.158 * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # 1545729241.159 * [enter]simplify: Simplifying (* (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (cbrt (- (pow 1/2 3) (pow (/ k 2) 3)))) 1545729241.159 * * [misc]simplify: iters left: 6 (14 enodes) 1545729241.167 * * [misc]simplify: iters left: 5 (36 enodes) 1545729241.177 * * [misc]simplify: iters left: 4 (74 enodes) 1545729241.203 * * [misc]simplify: iters left: 3 (142 enodes) 1545729241.231 * * [misc]simplify: iters left: 2 (276 enodes) 1545729241.353 * [exit]simplify: Simplified to (* (cbrt (- 1/8 (/ (* k k) (/ 8 k)))) (cbrt (- 1/4 (* (/ k 4) k)))) 1545729241.353 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/8 (/ (* k k) (/ 8 k)))) (cbrt (- 1/4 (* (/ k 4) k)))) (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.354 * [enter]simplify: Simplifying (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))) 1545729241.354 * * [misc]simplify: iters left: 6 (13 enodes) 1545729241.358 * * [misc]simplify: iters left: 5 (28 enodes) 1545729241.366 * * [misc]simplify: iters left: 4 (47 enodes) 1545729241.380 * * [misc]simplify: iters left: 3 (65 enodes) 1545729241.390 * * [misc]simplify: iters left: 2 (74 enodes) 1545729241.400 * * [misc]simplify: iters left: 1 (80 enodes) 1545729241.411 * [exit]simplify: Simplified to (* (cbrt (+ (/ k 2) 1/2)) (cbrt (+ (* (/ k 2) (/ k 2)) (* (+ k 1) 1/4)))) 1545729241.411 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/8 (/ (* k k) (/ 8 k)))) (cbrt (- 1/4 (* (/ k 4) k)))) (* (cbrt (+ (/ k 2) 1/2)) (cbrt (+ (* (/ k 2) (/ k 2)) (* (+ k 1) 1/4)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.411 * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # 1545729241.412 * [enter]simplify: Simplifying (* (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2))))) 1545729241.412 * * [misc]simplify: iters left: 6 (9 enodes) 1545729241.416 * * [misc]simplify: iters left: 5 (19 enodes) 1545729241.421 * * [misc]simplify: iters left: 4 (37 enodes) 1545729241.432 * * [misc]simplify: iters left: 3 (70 enodes) 1545729241.452 * * [misc]simplify: iters left: 2 (119 enodes) 1545729241.494 * * [misc]simplify: iters left: 1 (226 enodes) 1545729241.581 * [exit]simplify: Simplified to (* (cbrt (- 1/4 (/ (* k k) 4))) (cbrt (- 1/4 (/ (* k k) 4)))) 1545729241.581 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/4 (/ (* k k) 4))) (cbrt (- 1/4 (/ (* k k) 4)))) (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.581 * [enter]simplify: Simplifying (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ 1/2 (/ k 2)))) 1545729241.581 * * [misc]simplify: iters left: 6 (7 enodes) 1545729241.583 * * [misc]simplify: iters left: 5 (8 enodes) 1545729241.586 * [exit]simplify: Simplified to (* (cbrt (+ (/ k 2) 1/2)) (cbrt (+ (/ k 2) 1/2))) 1545729241.586 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/4 (/ (* k k) 4))) (cbrt (- 1/4 (/ (* k k) 4)))) (* (cbrt (+ (/ k 2) 1/2)) (cbrt (+ (/ k 2) 1/2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.586 * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # 1545729241.586 * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # 1545729241.586 * [enter]simplify: Simplifying (cbrt (cbrt (- 1/2 (/ k 2)))) 1545729241.587 * * [misc]simplify: iters left: 6 (7 enodes) 1545729241.589 * * [misc]simplify: iters left: 5 (9 enodes) 1545729241.591 * * [misc]simplify: iters left: 4 (12 enodes) 1545729241.594 * [exit]simplify: Simplified to (cbrt (cbrt (- 1/2 (/ k 2)))) 1545729241.594 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.594 * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # 1545729241.595 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729241.595 * * [misc]simplify: iters left: 6 (7 enodes) 1545729241.597 * * [misc]simplify: iters left: 5 (9 enodes) 1545729241.599 * * [misc]simplify: iters left: 4 (12 enodes) 1545729241.602 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729241.603 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (cbrt (sqrt (- 1/2 (/ k 2))))) (cbrt (sqrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.603 * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # 1545729241.603 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545729241.603 * * [misc]simplify: iters left: 5 (6 enodes) 1545729241.605 * * [misc]simplify: iters left: 4 (8 enodes) 1545729241.607 * * [misc]simplify: iters left: 3 (11 enodes) 1545729241.610 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545729241.610 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (cbrt 1)) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.610 * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # 1545729241.610 * [enter]simplify: Simplifying (cbrt (cbrt (- 1/2 (/ k 2)))) 1545729241.610 * * [misc]simplify: iters left: 6 (7 enodes) 1545729241.612 * * [misc]simplify: iters left: 5 (9 enodes) 1545729241.615 * * [misc]simplify: iters left: 4 (12 enodes) 1545729241.618 * [exit]simplify: Simplified to (cbrt (cbrt (- 1/2 (/ k 2)))) 1545729241.618 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (cbrt (- 1/2 (/ k 2)))))) (cbrt (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.618 * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # 1545729241.618 * [enter]simplify: Simplifying (sqrt (cbrt (- 1/2 (/ k 2)))) 1545729241.619 * * [misc]simplify: iters left: 6 (7 enodes) 1545729241.621 * * [misc]simplify: iters left: 5 (9 enodes) 1545729241.623 * * [misc]simplify: iters left: 4 (12 enodes) 1545729241.626 * [exit]simplify: Simplified to (sqrt (cbrt (- 1/2 (/ k 2)))) 1545729241.627 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (sqrt (cbrt (- 1/2 (/ k 2))))) (sqrt (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.627 * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # 1545729241.627 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545729241.627 * * [misc]simplify: iters left: 5 (6 enodes) 1545729241.629 * * [misc]simplify: iters left: 4 (8 enodes) 1545729241.631 * * [misc]simplify: iters left: 3 (11 enodes) 1545729241.633 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545729241.633 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) 1) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.633 * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # 1545729241.633 * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545729241.633 * * [misc]simplify: iters left: 6 (8 enodes) 1545729241.634 * * [misc]simplify: iters left: 5 (10 enodes) 1545729241.636 * * [misc]simplify: iters left: 4 (13 enodes) 1545729241.638 * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545729241.638 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.638 * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # 1545729241.638 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729241.638 * * [misc]simplify: iters left: 6 (7 enodes) 1545729241.639 * * [misc]simplify: iters left: 5 (9 enodes) 1545729241.640 * * [misc]simplify: iters left: 4 (12 enodes) 1545729241.642 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729241.642 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (sqrt (- 1/2 (/ k 2)))) (* (cbrt (sqrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.642 * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # 1545729241.642 * [enter]simplify: Simplifying (cbrt 1) 1545729241.642 * * [misc]simplify: iters left: 1 (2 enodes) 1545729241.643 * [exit]simplify: Simplified to 1 1545729241.643 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* 1 (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.643 * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # 1545729241.643 * [enter]simplify: Simplifying (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (cbrt (- 1/2 (/ k 2))))) 1545729241.643 * * [misc]simplify: iters left: 6 (8 enodes) 1545729241.644 * * [misc]simplify: iters left: 5 (10 enodes) 1545729241.646 * * [misc]simplify: iters left: 4 (13 enodes) 1545729241.647 * [exit]simplify: Simplified to (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (cbrt (- 1/2 (/ k 2))))) 1545729241.647 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (cbrt (- 1/2 (/ k 2))))) (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.647 * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # 1545729241.648 * [enter]simplify: Simplifying (sqrt (cbrt (- 1/2 (/ k 2)))) 1545729241.648 * * [misc]simplify: iters left: 6 (7 enodes) 1545729241.649 * * [misc]simplify: iters left: 5 (9 enodes) 1545729241.652 * * [misc]simplify: iters left: 4 (12 enodes) 1545729241.653 * [exit]simplify: Simplified to (sqrt (cbrt (- 1/2 (/ k 2)))) 1545729241.653 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (sqrt (cbrt (- 1/2 (/ k 2)))) (* (sqrt (cbrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.653 * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # 1545729241.653 * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # 1545729241.653 * [enter]simplify: Simplifying (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) 1545729241.653 * * [misc]simplify: iters left: 6 (10 enodes) 1545729241.656 * * [misc]simplify: iters left: 5 (24 enodes) 1545729241.660 * * [misc]simplify: iters left: 4 (48 enodes) 1545729241.675 * * [misc]simplify: iters left: 3 (71 enodes) 1545729241.694 * * [misc]simplify: iters left: 2 (84 enodes) 1545729241.711 * * [misc]simplify: iters left: 1 (106 enodes) 1545729241.745 * [exit]simplify: Simplified to (cbrt (+ (+ 1/4 (* 1/4 k)) (* 1/4 (* k k)))) 1545729241.745 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- (pow 1/2 3) (pow (/ k 2) 3)))) (cbrt (+ (+ 1/4 (* 1/4 k)) (* 1/4 (* k k)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.745 * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # 1545729241.745 * [enter]simplify: Simplifying (cbrt (+ 1/2 (/ k 2))) 1545729241.746 * * [misc]simplify: iters left: 5 (6 enodes) 1545729241.747 * * [misc]simplify: iters left: 4 (7 enodes) 1545729241.749 * [exit]simplify: Simplified to (cbrt (+ (/ k 2) 1/2)) 1545729241.749 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2))))) (cbrt (+ (/ k 2) 1/2)))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.749 * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # 1545729241.749 * [enter]simplify: Simplifying (* (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) (cbrt (- 1/2 (/ k 2)))) 1545729241.750 * * [misc]simplify: iters left: 6 (12 enodes) 1545729241.755 * * [misc]simplify: iters left: 5 (29 enodes) 1545729241.763 * * [misc]simplify: iters left: 4 (50 enodes) 1545729241.770 * * [misc]simplify: iters left: 3 (93 enodes) 1545729241.790 * * [misc]simplify: iters left: 2 (166 enodes) 1545729241.835 * * [misc]simplify: iters left: 1 (288 enodes) 1545729241.946 * [exit]simplify: Simplified to (* (cbrt (- 1/8 (/ (* k k) (/ 8 k)))) (cbrt (- 1/2 (/ k 2)))) 1545729241.947 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/8 (/ (* k k) (/ 8 k)))) (cbrt (- 1/2 (/ k 2)))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729241.947 * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # 1545729241.947 * [enter]simplify: Simplifying (* (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (cbrt (- 1/2 (/ k 2)))) 1545729241.947 * * [misc]simplify: iters left: 6 (11 enodes) 1545729241.952 * * [misc]simplify: iters left: 5 (23 enodes) 1545729241.958 * * [misc]simplify: iters left: 4 (48 enodes) 1545729241.974 * * [misc]simplify: iters left: 3 (93 enodes) 1545729242.004 * * [misc]simplify: iters left: 2 (180 enodes) 1545729242.036 * * [misc]simplify: iters left: 1 (269 enodes) 1545729242.125 * [exit]simplify: Simplified to (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/4 (* (* 1/4 k) k)))) 1545729242.125 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/4 (* (* 1/4 k) k)))) (cbrt (+ 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.125 * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # 1545729242.125 * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # 1545729242.126 * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # 1545729242.126 * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # 1545729242.126 * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # 1545729242.126 * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # 1545729242.126 * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545729242.126 * * [misc]simplify: iters left: 6 (8 enodes) 1545729242.129 * * [misc]simplify: iters left: 5 (10 enodes) 1545729242.132 * * [misc]simplify: iters left: 4 (13 enodes) 1545729242.138 * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545729242.138 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (* (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (cbrt (- 1/2 (/ k 2)))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.138 * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # 1545729242.138 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729242.138 * * [misc]simplify: iters left: 6 (7 enodes) 1545729242.140 * * [misc]simplify: iters left: 5 (9 enodes) 1545729242.143 * * [misc]simplify: iters left: 4 (12 enodes) 1545729242.146 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729242.146 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (* (cbrt (sqrt (- 1/2 (/ k 2)))) (cbrt (sqrt (- 1/2 (/ k 2)))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.146 * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # 1545729242.147 * [enter]simplify: Simplifying (cbrt 1) 1545729242.147 * * [misc]simplify: iters left: 1 (2 enodes) 1545729242.148 * [exit]simplify: Simplified to 1 1545729242.148 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (* 1 (cbrt (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.148 * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # 1545729242.149 * [enter]simplify: Simplifying (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) 1545729242.149 * * [misc]simplify: iters left: 6 (9 enodes) 1545729242.154 * * [misc]simplify: iters left: 5 (23 enodes) 1545729242.157 * * [misc]simplify: iters left: 4 (42 enodes) 1545729242.164 * * [misc]simplify: iters left: 3 (85 enodes) 1545729242.177 * * [misc]simplify: iters left: 2 (155 enodes) 1545729242.226 * * [misc]simplify: iters left: 1 (268 enodes) 1545729242.342 * [exit]simplify: Simplified to (cbrt (- 1/8 (* (* k k) (/ k 8)))) 1545729242.343 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (/ (cbrt (- 1/8 (* (* k k) (/ k 8)))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.343 * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # 1545729242.343 * [enter]simplify: Simplifying (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) 1545729242.343 * * [misc]simplify: iters left: 6 (8 enodes) 1545729242.347 * * [misc]simplify: iters left: 5 (18 enodes) 1545729242.352 * * [misc]simplify: iters left: 4 (36 enodes) 1545729242.363 * * [misc]simplify: iters left: 3 (69 enodes) 1545729242.381 * * [misc]simplify: iters left: 2 (118 enodes) 1545729242.422 * * [misc]simplify: iters left: 1 (225 enodes) 1545729242.509 * [exit]simplify: Simplified to (cbrt (- 1/4 (/ (* k k) 4))) 1545729242.509 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (/ (cbrt (- 1/4 (/ (* k k) 4))) (cbrt (+ 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.509 * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # 1545729242.509 * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # 1545729242.509 * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # 1545729242.509 * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # 1545729242.509 * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # 1545729242.509 * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # 1545729242.510 * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # 1545729242.510 * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # 1545729242.510 * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # 1545729242.510 * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545729242.510 * * [misc]simplify: iters left: 6 (8 enodes) 1545729242.512 * * [misc]simplify: iters left: 5 (10 enodes) 1545729242.515 * * [misc]simplify: iters left: 4 (13 enodes) 1545729242.519 * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545729242.519 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (* (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (cbrt (- 1/2 (/ k 2))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.519 * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # 1545729242.519 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729242.519 * * [misc]simplify: iters left: 6 (7 enodes) 1545729242.522 * * [misc]simplify: iters left: 5 (9 enodes) 1545729242.524 * * [misc]simplify: iters left: 4 (12 enodes) 1545729242.527 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729242.527 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (* (cbrt (sqrt (- 1/2 (/ k 2)))) (cbrt (sqrt (- 1/2 (/ k 2))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.527 * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # 1545729242.528 * [enter]simplify: Simplifying (cbrt 1) 1545729242.528 * * [misc]simplify: iters left: 1 (2 enodes) 1545729242.529 * [exit]simplify: Simplified to 1 1545729242.529 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (* 1 (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.529 * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # 1545729242.530 * [enter]simplify: Simplifying (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) 1545729242.530 * * [misc]simplify: iters left: 6 (9 enodes) 1545729242.534 * * [misc]simplify: iters left: 5 (23 enodes) 1545729242.540 * * [misc]simplify: iters left: 4 (42 enodes) 1545729242.552 * * [misc]simplify: iters left: 3 (85 enodes) 1545729242.575 * * [misc]simplify: iters left: 2 (155 enodes) 1545729242.626 * * [misc]simplify: iters left: 1 (268 enodes) 1545729242.772 * [exit]simplify: Simplified to (cbrt (- 1/8 (* (* k k) (/ k 8)))) 1545729242.773 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (/ (cbrt (- 1/8 (* (* k k) (/ k 8)))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.773 * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # 1545729242.773 * [enter]simplify: Simplifying (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) 1545729242.773 * * [misc]simplify: iters left: 6 (8 enodes) 1545729242.777 * * [misc]simplify: iters left: 5 (18 enodes) 1545729242.782 * * [misc]simplify: iters left: 4 (36 enodes) 1545729242.792 * * [misc]simplify: iters left: 3 (69 enodes) 1545729242.812 * * [misc]simplify: iters left: 2 (118 enodes) 1545729242.855 * * [misc]simplify: iters left: 1 (225 enodes) 1545729242.938 * [exit]simplify: Simplified to (cbrt (- 1/4 (/ (* k k) 4))) 1545729242.939 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (/ (cbrt (- 1/4 (/ (* k k) 4))) (cbrt (+ 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.939 * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # 1545729242.939 * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # 1545729242.939 * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # 1545729242.939 * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # 1545729242.939 * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # 1545729242.939 * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # 1545729242.939 * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # 1545729242.939 * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # 1545729242.939 * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # 1545729242.939 * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545729242.939 * * [misc]simplify: iters left: 6 (8 enodes) 1545729242.940 * * [misc]simplify: iters left: 5 (10 enodes) 1545729242.942 * * [misc]simplify: iters left: 4 (13 enodes) 1545729242.944 * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545729242.944 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.944 * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # 1545729242.944 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729242.944 * * [misc]simplify: iters left: 6 (7 enodes) 1545729242.945 * * [misc]simplify: iters left: 5 (9 enodes) 1545729242.946 * * [misc]simplify: iters left: 4 (12 enodes) 1545729242.948 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545729242.948 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (sqrt (- 1/2 (/ k 2)))) (cbrt (sqrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.948 * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # 1545729242.949 * [enter]simplify: Simplifying (cbrt 1) 1545729242.949 * * [misc]simplify: iters left: 1 (2 enodes) 1545729242.949 * [exit]simplify: Simplified to 1 1545729242.949 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* 1 (cbrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729242.949 * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # 1545729242.950 * [enter]simplify: Simplifying (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) 1545729242.950 * * [misc]simplify: iters left: 6 (9 enodes) 1545729242.953 * * [misc]simplify: iters left: 5 (23 enodes) 1545729242.955 * * [misc]simplify: iters left: 4 (42 enodes) 1545729242.964 * * [misc]simplify: iters left: 3 (85 enodes) 1545729242.985 * * [misc]simplify: iters left: 2 (155 enodes) 1545729243.031 * * [misc]simplify: iters left: 1 (268 enodes) 1545729243.141 * [exit]simplify: Simplified to (cbrt (- 1/8 (* (* k k) (/ k 8)))) 1545729243.141 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (/ (cbrt (- 1/8 (* (* k k) (/ k 8)))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729243.141 * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # 1545729243.142 * [enter]simplify: Simplifying (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) 1545729243.142 * * [misc]simplify: iters left: 6 (8 enodes) 1545729243.145 * * [misc]simplify: iters left: 5 (18 enodes) 1545729243.154 * * [misc]simplify: iters left: 4 (36 enodes) 1545729243.164 * * [misc]simplify: iters left: 3 (69 enodes) 1545729243.184 * * [misc]simplify: iters left: 2 (118 enodes) 1545729243.225 * * [misc]simplify: iters left: 1 (225 enodes) 1545729243.306 * [exit]simplify: Simplified to (cbrt (- 1/4 (/ (* k k) 4))) 1545729243.306 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (/ (cbrt (- 1/4 (/ (* k k) 4))) (cbrt (+ 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729243.306 * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # 1545729243.306 * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # 1545729243.306 * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # 1545729243.306 * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # 1545729243.306 * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # 1545729243.306 * [enter]simplify: Simplifying (- (pow 1/4 1/3) (+ (* 2/3 (* (pow 1/4 1/3) k)) (* 1/9 (* (pow 1/4 1/3) (pow k 2))))) 1545729243.306 * * [misc]simplify: iters left: 6 (14 enodes) 1545729243.309 * * [misc]simplify: iters left: 5 (29 enodes) 1545729243.315 * * [misc]simplify: iters left: 4 (53 enodes) 1545729243.327 * * [misc]simplify: iters left: 3 (132 enodes) 1545729243.379 * * [misc]simplify: iters left: 2 (263 enodes) 1545729243.467 * * [misc]simplify: iters left: 1 (446 enodes) 1545729243.779 * [exit]simplify: Simplified to (+ (* (* k (cbrt 1/4)) (- -2/3 (* 1/9 k))) (cbrt 1/4)) 1545729243.779 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (+ (* (* k (cbrt 1/4)) (- -2/3 (* 1/9 k))) (cbrt 1/4))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729243.779 * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # 1545729243.780 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) (pow k 2))) (* 2/3 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) k)))) 1545729243.780 * * [misc]simplify: iters left: 6 (21 enodes) 1545729243.787 * * [misc]simplify: iters left: 5 (45 enodes) 1545729243.795 * * [misc]simplify: iters left: 4 (84 enodes) 1545729243.819 * * [misc]simplify: iters left: 3 (161 enodes) 1545729243.879 * * [misc]simplify: iters left: 2 (304 enodes) 1545729244.025 * [exit]simplify: Simplified to (- (* (+ (/ -2/3 k) 1) (* (pow k 2/3) (cbrt 1/4))) (/ (* 1/9 (cbrt 1/4)) (/ (* k k) (pow k 2/3)))) 1545729244.026 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (- (* (+ (/ -2/3 k) 1) (* (pow k 2/3) (cbrt 1/4))) (/ (* 1/9 (cbrt 1/4)) (/ (* k k) (pow k 2/3))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729244.026 * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # 1545729244.026 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) (pow k 2))) (* 2/3 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) k)))) 1545729244.026 * * [misc]simplify: iters left: 6 (21 enodes) 1545729244.031 * * [misc]simplify: iters left: 5 (42 enodes) 1545729244.040 * * [misc]simplify: iters left: 4 (79 enodes) 1545729244.057 * * [misc]simplify: iters left: 3 (164 enodes) 1545729244.108 * * [misc]simplify: iters left: 2 (341 enodes) 1545729244.230 * [exit]simplify: Simplified to (+ (* (* (/ (cbrt 1/4) k) (pow (/ -1 k) -2/3)) (- -2/3 (/ 1/9 k))) (* (cbrt 1/4) (pow (/ -1 k) -2/3))) 1545729244.230 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (+ (* (* (/ (cbrt 1/4) k) (pow (/ -1 k) -2/3)) (- -2/3 (/ 1/9 k))) (* (cbrt 1/4) (pow (/ -1 k) -2/3)))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729244.230 * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # 1545729244.230 * [enter]simplify: Simplifying (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545729244.230 * * [misc]simplify: iters left: 6 (13 enodes) 1545729244.233 * * [misc]simplify: iters left: 5 (28 enodes) 1545729244.238 * * [misc]simplify: iters left: 4 (52 enodes) 1545729244.251 * * [misc]simplify: iters left: 3 (131 enodes) 1545729244.308 * * [misc]simplify: iters left: 2 (262 enodes) 1545729244.379 * * [misc]simplify: iters left: 1 (460 enodes) 1545729244.668 * [exit]simplify: Simplified to (+ (cbrt 1/2) (* (* (cbrt 1/2) k) (- -1/3 (* k 1/9)))) 1545729244.668 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (+ (cbrt 1/2) (* (* (cbrt 1/2) k) (- -1/3 (* k 1/9))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729244.668 * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # 1545729244.668 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545729244.668 * * [misc]simplify: iters left: 6 (19 enodes) 1545729244.672 * * [misc]simplify: iters left: 5 (42 enodes) 1545729244.679 * * [misc]simplify: iters left: 4 (70 enodes) 1545729244.692 * * [misc]simplify: iters left: 3 (137 enodes) 1545729244.716 * * [misc]simplify: iters left: 2 (250 enodes) 1545729244.840 * [exit]simplify: Simplified to (- (* (+ (/ -1/3 k) 1) (cbrt (* k -1/2))) (* (/ 1/9 (* k k)) (cbrt (* k -1/2)))) 1545729244.840 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (- (* (+ (/ -1/3 k) 1) (cbrt (* k -1/2))) (* (/ 1/9 (* k k)) (cbrt (* k -1/2))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729244.840 * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # 1545729244.840 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545729244.840 * * [misc]simplify: iters left: 6 (19 enodes) 1545729244.845 * * [misc]simplify: iters left: 5 (39 enodes) 1545729244.853 * * [misc]simplify: iters left: 4 (71 enodes) 1545729244.866 * * [misc]simplify: iters left: 3 (147 enodes) 1545729244.892 * * [misc]simplify: iters left: 2 (296 enodes) 1545729244.988 * [exit]simplify: Simplified to (+ (* (cbrt 1/2) (pow (/ -1 k) -1/3)) (* (+ (/ -1/9 k) -1/3) (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)))) 1545729244.988 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (+ (* (cbrt 1/2) (pow (/ -1 k) -1/3)) (* (+ (/ -1/9 k) -1/3) (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729244.988 * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # 1545729244.988 * [enter]simplify: Simplifying (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545729244.988 * * [misc]simplify: iters left: 6 (13 enodes) 1545729244.991 * * [misc]simplify: iters left: 5 (28 enodes) 1545729245.001 * * [misc]simplify: iters left: 4 (52 enodes) 1545729245.023 * * [misc]simplify: iters left: 3 (131 enodes) 1545729245.079 * * [misc]simplify: iters left: 2 (262 enodes) 1545729245.176 * * [misc]simplify: iters left: 1 (460 enodes) 1545729245.452 * [exit]simplify: Simplified to (+ (cbrt 1/2) (* (* (cbrt 1/2) k) (- -1/3 (* k 1/9)))) 1545729245.452 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (+ (cbrt 1/2) (* (* (cbrt 1/2) k) (- -1/3 (* k 1/9)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729245.452 * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # 1545729245.453 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545729245.453 * * [misc]simplify: iters left: 6 (19 enodes) 1545729245.461 * * [misc]simplify: iters left: 5 (42 enodes) 1545729245.474 * * [misc]simplify: iters left: 4 (70 enodes) 1545729245.489 * * [misc]simplify: iters left: 3 (137 enodes) 1545729245.514 * * [misc]simplify: iters left: 2 (250 enodes) 1545729245.615 * [exit]simplify: Simplified to (- (* (+ (/ -1/3 k) 1) (cbrt (* k -1/2))) (* (/ 1/9 (* k k)) (cbrt (* k -1/2)))) 1545729245.615 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (- (* (+ (/ -1/3 k) 1) (cbrt (* k -1/2))) (* (/ 1/9 (* k k)) (cbrt (* k -1/2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729245.615 * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # 1545729245.615 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545729245.616 * * [misc]simplify: iters left: 6 (19 enodes) 1545729245.623 * * [misc]simplify: iters left: 5 (39 enodes) 1545729245.635 * * [misc]simplify: iters left: 4 (71 enodes) 1545729245.662 * * [misc]simplify: iters left: 3 (147 enodes) 1545729245.708 * * [misc]simplify: iters left: 2 (296 enodes) 1545729245.852 * [exit]simplify: Simplified to (+ (* (cbrt 1/2) (pow (/ -1 k) -1/3)) (* (+ (/ -1/9 k) -1/3) (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)))) 1545729245.852 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (+ (* (cbrt 1/2) (pow (/ -1 k) -1/3)) (* (+ (/ -1/9 k) -1/3) (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729245.852 * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # 1545729245.852 * [enter]simplify: Simplifying (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545729245.852 * * [misc]simplify: iters left: 6 (13 enodes) 1545729245.856 * * [misc]simplify: iters left: 5 (28 enodes) 1545729245.861 * * [misc]simplify: iters left: 4 (52 enodes) 1545729245.888 * * [misc]simplify: iters left: 3 (131 enodes) 1545729245.932 * * [misc]simplify: iters left: 2 (262 enodes) 1545729246.031 * * [misc]simplify: iters left: 1 (460 enodes) 1545729246.419 * [exit]simplify: Simplified to (+ (cbrt 1/2) (* (* (cbrt 1/2) k) (- -1/3 (* k 1/9)))) 1545729246.419 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (+ (cbrt 1/2) (* (* (cbrt 1/2) k) (- -1/3 (* k 1/9)))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729246.419 * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # 1545729246.419 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545729246.420 * * [misc]simplify: iters left: 6 (19 enodes) 1545729246.428 * * [misc]simplify: iters left: 5 (42 enodes) 1545729246.445 * * [misc]simplify: iters left: 4 (70 enodes) 1545729246.469 * * [misc]simplify: iters left: 3 (137 enodes) 1545729246.516 * * [misc]simplify: iters left: 2 (250 enodes) 1545729246.663 * [exit]simplify: Simplified to (- (* (+ (/ -1/3 k) 1) (cbrt (* k -1/2))) (* (/ 1/9 (* k k)) (cbrt (* k -1/2)))) 1545729246.664 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (- (* (+ (/ -1/3 k) 1) (cbrt (* k -1/2))) (* (/ 1/9 (* k k)) (cbrt (* k -1/2)))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729246.664 * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # 1545729246.664 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545729246.664 * * [misc]simplify: iters left: 6 (19 enodes) 1545729246.673 * * [misc]simplify: iters left: 5 (39 enodes) 1545729246.681 * * [misc]simplify: iters left: 4 (71 enodes) 1545729246.694 * * [misc]simplify: iters left: 3 (147 enodes) 1545729246.742 * * [misc]simplify: iters left: 2 (296 enodes) 1545729246.910 * [exit]simplify: Simplified to (+ (* (cbrt 1/2) (pow (/ -1 k) -1/3)) (* (+ (/ -1/9 k) -1/3) (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)))) 1545729246.910 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (+ (* (cbrt 1/2) (pow (/ -1 k) -1/3)) (* (+ (/ -1/9 k) -1/3) (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545729246.910 * * * [misc]progress: adding candidates to table 1545729248.859 * [misc]progress: [Phase 3 of 3] Extracting. 1545729248.859 * * [misc]regime: Finding splitpoints for: (# # # # # # # # # #) 1545729248.863 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545729248.863 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # #) 1545729248.949 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # # # #) 1545729249.069 * * * [misc]regime: Found split indices: #